Pith Number

pith:W7ZZ7NBG

pith:2013:W7ZZ7NBGH3JFDUXBDW2PYLLPJ3

not attested not anchored not stored refs pending

A note on "Sur le noyau de l'op\'{e}rateur de courbure d'une vari\'{e}t\'{e} finsl\'{e}rienne" [C. R. Acad. Sci. Paris, t. 272 (1971), 807-810]

Nabil L. Youssef, S. G. Elgendi

arxiv:1305.4498 v3 · 2013-05-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7ZZ7NBGH3JFDUXBDW2PYLLPJ3}

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	2026-05-18T03:03:44.345190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7f39fb4263ed251d2e11db4fc2d6f4ec42183017e68983ba0a8ea9e4d414a2d

Aliases

arxiv: 1305.4498 · arxiv_version: 1305.4498v3 · doi: 10.48550/arxiv.1305.4498 · pith_short_12: W7ZZ7NBGH3JF · pith_short_16: W7ZZ7NBGH3JFDUXB · pith_short_8: W7ZZ7NBG

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/W7ZZ7NBGH3JFDUXBDW2PYLLPJ3 \
  | 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: b7f39fb4263ed251d2e11db4fc2d6f4ec42183017e68983ba0a8ea9e4d414a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04765ec294bd695096bcf049ede28ee54c9d5e11519d95cbcc79db068892b700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-20T11:12:34Z",
    "title_canon_sha256": "466806e7cbf38b5f61a129fbdc4ee462a78d40d7f1287649fcf99f611928466c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4498",
    "kind": "arxiv",
    "version": 3
  }
}