Pith Number

pith:AC4UUCXI

pith:2024:AC4UUCXIDF6IMZXN3XT2F56IQA

not attested not anchored not stored refs pending

Induced even cycles in locally sparse graphs

Bingyu Luan, Hong Liu, Jun Gao, Laihao Ding, Shumin Sun

arxiv:2411.12659 v1 · 2024-11-19 · 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{AC4UUCXIDF6IMZXN3XT2F56IQA}

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	2026-07-05T09:37:46.255144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00b94a0ae8197c8666eddde7a2f7c8803dc0f48d7cbd47fd304c654df4724802

Aliases

arxiv: 2411.12659 · arxiv_version: 2411.12659v1 · doi: 10.48550/arxiv.2411.12659 · pith_short_12: AC4UUCXIDF6I · pith_short_16: AC4UUCXIDF6IMZXN · pith_short_8: AC4UUCXI

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/AC4UUCXIDF6IMZXN3XT2F56IQA \
  | 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: 00b94a0ae8197c8666eddde7a2f7c8803dc0f48d7cbd47fd304c654df4724802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ecc1d8b9ad2d9e3a060688b6b5490a362838901c8f6e3ef93e105ba15f98854",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-19T17:07:29Z",
    "title_canon_sha256": "f0bf0a3028cf266c9741640a1ab7b455f8c0a8874d6a889b6a921fecbafb43a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.12659",
    "kind": "arxiv",
    "version": 1
  }
}