Pith Number

pith:MFBUJ2TE

pith:2014:MFBUJ2TEQBGOO4ZYTLMCLN5ZHV

not attested not anchored not stored refs pending

Remarks on the Gibbs measures for nonlinear dispersive equations

Laurent Thomann (LMJL), Nicolas Burq (LM-Orsay), Nikolay Tzvetkov (AGM)

arxiv:1412.7499 v1 · 2014-12-23 · 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{MFBUJ2TEQBGOO4ZYTLMCLN5ZHV}

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	2026-05-18T02:30:38.788757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614344ea64804ce773389ad825b7b93d51ce16c93c0ed514c5b450d25950d31f

Aliases

arxiv: 1412.7499 · arxiv_version: 1412.7499v1 · doi: 10.48550/arxiv.1412.7499 · pith_short_12: MFBUJ2TEQBGO · pith_short_16: MFBUJ2TEQBGOO4ZY · pith_short_8: MFBUJ2TE

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/MFBUJ2TEQBGOO4ZYTLMCLN5ZHV \
  | 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: 614344ea64804ce773389ad825b7b93d51ce16c93c0ed514c5b450d25950d31f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d731c719a2b48da766ab6210de79ddd11fda7a3d7e871229f6511204e6e2cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-23T20:14:38Z",
    "title_canon_sha256": "7daf2256f967b9418301c240c2b510dd828db769c1d5cb691772ba7fd4606abd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7499",
    "kind": "arxiv",
    "version": 1
  }
}