Pith Number

pith:INZPLIPA

pith:2016:INZPLIPA62CWRB5VEM72DUQMKK

not attested not anchored not stored refs pending

Cycles of given lengths in hypergraphs

Jie Ma, Tao Jiang

arxiv:1609.08212 v1 · 2016-09-26 · 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{INZPLIPA62CWRB5VEM72DUQMKK}

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	2026-05-18T01:03:46.359968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4372f5a1e0f6856887b5233fa1d20c5299addf18d72af7de0eb061919936f0d6

Aliases

arxiv: 1609.08212 · arxiv_version: 1609.08212v1 · doi: 10.48550/arxiv.1609.08212 · pith_short_12: INZPLIPA62CW · pith_short_16: INZPLIPA62CWRB5V · pith_short_8: INZPLIPA

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/INZPLIPA62CWRB5VEM72DUQMKK \
  | 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: 4372f5a1e0f6856887b5233fa1d20c5299addf18d72af7de0eb061919936f0d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c132b2327be09c63aaac2ea71d1b8b95e0478ded05a73833278f1817a26781",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-26T22:26:17Z",
    "title_canon_sha256": "a2761cf09627fb45cc55d47596789a5074e1538db65548471f0aa68dc218f86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08212",
    "kind": "arxiv",
    "version": 1
  }
}