Pith Number

pith:YPHUPJLP

pith:2017:YPHUPJLP3S2SFQ7DDITEJWXK4B

not attested not anchored not stored refs pending

Towards a quantum Lefschetz hyperplane theorem in all genera

Honglu Fan, Yuan-Pin Lee

arxiv:1712.03573 v4 · 2017-12-10 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPHUPJLP3S2SFQ7DDITEJWXK4B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T03:03:05.188583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3cf47a56fdcb522c3e31a2644daeae044c63dc04dd671746e07b48b41a1ddcf

Aliases

arxiv: 1712.03573 · arxiv_version: 1712.03573v4 · doi: 10.48550/arxiv.1712.03573 · pith_short_12: YPHUPJLP3S2S · pith_short_16: YPHUPJLP3S2SFQ7D · pith_short_8: YPHUPJLP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YPHUPJLP3S2SFQ7DDITEJWXK4B \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c3cf47a56fdcb522c3e31a2644daeae044c63dc04dd671746e07b48b41a1ddcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fd03eb8ce41938c0dc45f574033ea907a43507fd7fb13ccced60c888755e10c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-10T19:00:07Z",
    "title_canon_sha256": "84b58d870e1e06f4f394a4f8ab5fa253ebb5600d978b381d40ad8d84f9ac60ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03573",
    "kind": "arxiv",
    "version": 4
  }
}