Pith Number

pith:2YOEFJUZ

pith:2014:2YOEFJUZ5MFD4J22HCRLBCULNR

not attested not anchored not stored refs pending

Cycles with consecutive odd lengths

Jie Ma

arxiv:1410.0430 v1 · 2014-10-02 · 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{2YOEFJUZ5MFD4J22HCRLBCULNR}

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	2026-05-18T02:41:16.442827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d61c42a699eb0a3e275a38a2b08a8b6c4bc649436ab76873646511e09d81273b

Aliases

arxiv: 1410.0430 · arxiv_version: 1410.0430v1 · doi: 10.48550/arxiv.1410.0430 · pith_short_12: 2YOEFJUZ5MFD · pith_short_16: 2YOEFJUZ5MFD4J22 · pith_short_8: 2YOEFJUZ

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/2YOEFJUZ5MFD4J22HCRLBCULNR \
  | 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: d61c42a699eb0a3e275a38a2b08a8b6c4bc649436ab76873646511e09d81273b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b2acfd12449f5d12800c9cbcae83e5a6ba3d1986d67b96b738f00a614daa2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-02T01:32:19Z",
    "title_canon_sha256": "a9e321565c6a118c4ed4e1f1a684a237735b64b04694aa3839d3bbbd7fef2454"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0430",
    "kind": "arxiv",
    "version": 1
  }
}