Pith Number

pith:45LSNOKA

pith:2013:45LSNOKARR3SHJSK5XTIUB6CNR

not attested not anchored not stored refs pending

Stochastic manifolds

Alain Tarica, Anatole Khelif

arxiv:1312.0117 v2 · 2013-11-30 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45LSNOKARR3SHJSK5XTIUB6CNR}

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	2026-05-18T02:50:31.233277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e75726b9408c7723a64aede68a07c26c5c7e60dd17af332dd3b598b9d0a9f4bf

Aliases

arxiv: 1312.0117 · arxiv_version: 1312.0117v2 · doi: 10.48550/arxiv.1312.0117 · pith_short_12: 45LSNOKARR3S · pith_short_16: 45LSNOKARR3SHJSK · pith_short_8: 45LSNOKA

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/45LSNOKARR3SHJSK5XTIUB6CNR \
  | 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: e75726b9408c7723a64aede68a07c26c5c7e60dd17af332dd3b598b9d0a9f4bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc468fb2049179bee46686c627da2a3c6b33236baaf6947c5625f2fcec5ed04c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-30T15:28:29Z",
    "title_canon_sha256": "386b75a594af781db19714bd43b5d0778f5c517f41cb6acd3a419191a6771294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0117",
    "kind": "arxiv",
    "version": 2
  }
}