{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:WNPTZIGC36SEKVDTIX3QWNCLQL","short_pith_number":"pith:WNPTZIGC","schema_version":"1.0","canonical_sha256":"b35f3ca0c2dfa445547345f70b344b82dcd72dc0be3675560056f219761d8079","source":{"kind":"arxiv","id":"0906.0596","version":2},"attestation_state":"computed","paper":{"title":"Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS4 x S7","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Darya Krym, Eric D'Hoker, John Estes, Michael Gutperle","submitted_at":"2009-06-02T20:24:42Z","abstract_excerpt":"The BPS equations in M-theory for solutions with 16 residual supersymmetries, $SO(2,2)\\times SO(4)\\times SO(4)$ symmetry, and $AdS_4 \\times S^7$ asymptotics, were reduced in [arXiv:0806.0605] to a linear first order partial differential equation on a Riemann surface with boundary, subject to a non-trivial quadratic constraint. In the present paper, suitable regularity and boundary conditions are imposed for the existence of global solutions. We seek regular solutions with multiple distinct asymptotic $AdS_4 \\times S^7$ regions, but find that, remarkably, such solutions invariably reduce to mul"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0906.0596","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-06-02T20:24:42Z","cross_cats_sorted":[],"title_canon_sha256":"7a57c50336a16e39f55737b47e1657f2680d853e2e8eccc4d444243219370f9c","abstract_canon_sha256":"82f02b451ad9dbc48019c89210fbfe0f33940c36306efe0a69e4707f47bcac38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:53:22.395950Z","signature_b64":"xTdH775qbUkZhF1y7AsMgUuhzIt6BCUPQO8xHSoINxV9NOEYnCSCBMW1m7BH+LgOP244KC61eN4wPvtPp4j1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b35f3ca0c2dfa445547345f70b344b82dcd72dc0be3675560056f219761d8079","last_reissued_at":"2026-07-04T15:53:22.395542Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:53:22.395542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact Half-BPS Flux Solutions in M-theory III: Existence and rigidity of global solutions asymptotic to AdS4 x S7","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Darya Krym, Eric D'Hoker, John Estes, Michael Gutperle","submitted_at":"2009-06-02T20:24:42Z","abstract_excerpt":"The BPS equations in M-theory for solutions with 16 residual supersymmetries, $SO(2,2)\\times SO(4)\\times SO(4)$ symmetry, and $AdS_4 \\times S^7$ asymptotics, were reduced in [arXiv:0806.0605] to a linear first order partial differential equation on a Riemann surface with boundary, subject to a non-trivial quadratic constraint. In the present paper, suitable regularity and boundary conditions are imposed for the existence of global solutions. We seek regular solutions with multiple distinct asymptotic $AdS_4 \\times S^7$ regions, but find that, remarkably, such solutions invariably reduce to mul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.0596","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0906.0596/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0906.0596","created_at":"2026-07-04T15:53:22.395596+00:00"},{"alias_kind":"arxiv_version","alias_value":"0906.0596v2","created_at":"2026-07-04T15:53:22.395596+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.0596","created_at":"2026-07-04T15:53:22.395596+00:00"},{"alias_kind":"pith_short_12","alias_value":"WNPTZIGC36SE","created_at":"2026-07-04T15:53:22.395596+00:00"},{"alias_kind":"pith_short_16","alias_value":"WNPTZIGC36SEKVDT","created_at":"2026-07-04T15:53:22.395596+00:00"},{"alias_kind":"pith_short_8","alias_value":"WNPTZIGC","created_at":"2026-07-04T15:53:22.395596+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WNPTZIGC36SEKVDTIX3QWNCLQL","json":"https://pith.science/pith/WNPTZIGC36SEKVDTIX3QWNCLQL.json","graph_json":"https://pith.science/api/pith-number/WNPTZIGC36SEKVDTIX3QWNCLQL/graph.json","events_json":"https://pith.science/api/pith-number/WNPTZIGC36SEKVDTIX3QWNCLQL/events.json","paper":"https://pith.science/paper/WNPTZIGC"},"agent_actions":{"view_html":"https://pith.science/pith/WNPTZIGC36SEKVDTIX3QWNCLQL","download_json":"https://pith.science/pith/WNPTZIGC36SEKVDTIX3QWNCLQL.json","view_paper":"https://pith.science/paper/WNPTZIGC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0906.0596&json=true","fetch_graph":"https://pith.science/api/pith-number/WNPTZIGC36SEKVDTIX3QWNCLQL/graph.json","fetch_events":"https://pith.science/api/pith-number/WNPTZIGC36SEKVDTIX3QWNCLQL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WNPTZIGC36SEKVDTIX3QWNCLQL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WNPTZIGC36SEKVDTIX3QWNCLQL/action/storage_attestation","attest_author":"https://pith.science/pith/WNPTZIGC36SEKVDTIX3QWNCLQL/action/author_attestation","sign_citation":"https://pith.science/pith/WNPTZIGC36SEKVDTIX3QWNCLQL/action/citation_signature","submit_replication":"https://pith.science/pith/WNPTZIGC36SEKVDTIX3QWNCLQL/action/replication_record"}},"created_at":"2026-07-04T15:53:22.395596+00:00","updated_at":"2026-07-04T15:53:22.395596+00:00"}