Pith Number

pith:I5BUZX2W

pith:2022:I5BUZX2WJTS4LPK5DGLWAY5LVO

not attested not anchored not stored refs pending

The codegree Tur\'an density of tight cycles minus one edge

Bjarne Sch\"ulke, Marcelo Sales, Sim\'on Piga

arxiv:2211.12721 v1 · 2022-11-23 · 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{I5BUZX2WJTS4LPK5DGLWAY5LVO}

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	2026-07-05T05:18:54.114469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47434cdf564ce5c5bd5d19976063abab85ff0d48dee903b898a13985719a2555

Aliases

arxiv: 2211.12721 · arxiv_version: 2211.12721v1 · doi: 10.48550/arxiv.2211.12721 · pith_short_12: I5BUZX2WJTS4 · pith_short_16: I5BUZX2WJTS4LPK5 · pith_short_8: I5BUZX2W

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/I5BUZX2WJTS4LPK5DGLWAY5LVO \
  | 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: 47434cdf564ce5c5bd5d19976063abab85ff0d48dee903b898a13985719a2555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6dcc8cdd47667dd7918ec5a214edf6b9f5801b8643d8c84508aedb3b7199a98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-23T05:55:57Z",
    "title_canon_sha256": "3a4dabc2af1f11cf249e616baf4a65f19571128966e03993d7de719cd58362ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.12721",
    "kind": "arxiv",
    "version": 1
  }
}