Pith Number

pith:HJOQJWK5

pith:2011:HJOQJWK5CJF5ZFOEUYBLGUFASS

not attested not anchored not stored refs pending

Madelung, Gross-Pitaevskii and Korteweg

Jean-Claude Saut (LM-Orsay), Rapha\"el Danchin (LAMA), R\'emi Carles (I3M)

arxiv:1111.4670 v1 · 2011-11-20 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJOQJWK5CJF5ZFOEUYBLGUFASS}

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	2026-05-18T03:44:33.822260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5d04d95d124bdc95c4a602b350a0948cc62f2dc25ff1d09e156b38659ef26b

Aliases

arxiv: 1111.4670 · arxiv_version: 1111.4670v1 · doi: 10.48550/arxiv.1111.4670 · pith_short_12: HJOQJWK5CJF5 · pith_short_16: HJOQJWK5CJF5ZFOE · pith_short_8: HJOQJWK5

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/HJOQJWK5CJF5ZFOEUYBLGUFASS \
  | 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: 3a5d04d95d124bdc95c4a602b350a0948cc62f2dc25ff1d09e156b38659ef26b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "932a8e2f1b9bd6ad0db224ae5db9a06a3426333e99125964c5a2b162ffc18a6f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-20T19:40:39Z",
    "title_canon_sha256": "e552eec5db8b93d937125d2aaa9f5dbf2867f6bd3442a758ce90067fe3b8cb0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4670",
    "kind": "arxiv",
    "version": 1
  }
}