Pith Number

pith:K3VWCF7O

pith:2013:K3VWCF7OQARR3W3MMTFZDHCWTD

not attested not anchored not stored refs pending

Extremal property of a simple cycle

A. N. Gorban

arxiv:1301.2379 v1 · 2013-01-11 · physics.chem-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K3VWCF7OQARR3W3MMTFZDHCWTD}

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	2026-05-18T03:36:38.081969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56eb6117ee80231ddb6c64cb919c5698c8a04b25f382a66eac6761e92a09a8b4

Aliases

arxiv: 1301.2379 · arxiv_version: 1301.2379v1 · doi: 10.48550/arxiv.1301.2379 · pith_short_12: K3VWCF7OQARR · pith_short_16: K3VWCF7OQARR3W3M · pith_short_8: K3VWCF7O

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/K3VWCF7OQARR3W3MMTFZDHCWTD \
  | 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: 56eb6117ee80231ddb6c64cb919c5698c8a04b25f382a66eac6761e92a09a8b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f693f4c28adcece1fee31506a70325dea72ce8f8c46cac8b66b547961622251f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.chem-ph",
    "submitted_at": "2013-01-11T02:00:18Z",
    "title_canon_sha256": "2e39d5cff0b288c24eb8d6ab78804216aa93a2b5010eca234715b2aa4f939b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2379",
    "kind": "arxiv",
    "version": 1
  }
}