Pith Number

pith:QO3EWCUX

pith:2014:QO3EWCUXBYZQWHO237MWZYWC4H

not attested not anchored not stored refs pending

4-Factor-criticality of vertex-transitive graphs

Heping Zhang, Wuyang Sun

arxiv:1409.2117 v1 · 2014-09-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QO3EWCUXBYZQWHO237MWZYWC4H}

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	2026-05-18T02:43:17.831467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83b64b0a970e330b1ddadfd96ce2c2e1ca38d96bf4275605cceb7690fda853ed

Aliases

arxiv: 1409.2117 · arxiv_version: 1409.2117v1 · doi: 10.48550/arxiv.1409.2117 · pith_short_12: QO3EWCUXBYZQ · pith_short_16: QO3EWCUXBYZQWHO2 · pith_short_8: QO3EWCUX

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/QO3EWCUXBYZQWHO237MWZYWC4H \
  | 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: 83b64b0a970e330b1ddadfd96ce2c2e1ca38d96bf4275605cceb7690fda853ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d305700ca1accd8765062184ef01223233cdcd1155459b207dfba6867a5de6ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-07T13:12:42Z",
    "title_canon_sha256": "6060befc400595be0e3dabde196167d3febdda2568831cae596eab5c0861a774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2117",
    "kind": "arxiv",
    "version": 1
  }
}