Pith Number

pith:GCHP3SS7

pith:2026:GCHP3SS7Q6PQWIAUN46B7BLWEB

not attested not anchored not stored refs pending

Global well--posedness for the mass--critical nonlinear Schr{\"o}dinger equation on $\mathbb{T}$

Benjamin Dodson

arxiv:2607.02257 v1 · 2026-07-02 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCHP3SS7Q6PQWIAUN46B7BLWEB}

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	2026-07-03T01:17:46.744440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

308efdca5f879f0b20146f3c1f857620463b2afddb97d2ed2ad215cc6241cd52

Aliases

arxiv: 2607.02257 · arxiv_version: 2607.02257v1 · doi: 10.48550/arxiv.2607.02257 · pith_short_12: GCHP3SS7Q6PQ · pith_short_16: GCHP3SS7Q6PQWIAU · pith_short_8: GCHP3SS7

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/GCHP3SS7Q6PQWIAUN46B7BLWEB \
  | 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: 308efdca5f879f0b20146f3c1f857620463b2afddb97d2ed2ad215cc6241cd52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad26b8098671f00684c4965a3ad3e280b2e53ddba9bde3a00bf8707d7108037",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-02T14:45:34Z",
    "title_canon_sha256": "9a98e005e5dc1b647674808e9d167f20796cf0f81acb08758264d5f6731c58d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02257",
    "kind": "arxiv",
    "version": 1
  }
}