Pith Number

pith:PL44IKJK

pith:2025:PL44IKJKM3ED5JPRWURXHPLA6Y

not attested not anchored not stored refs pending

Cycle lengths in graphs of given minimum degree

Andrzej Grzesik, Binlong Li, Magdalena Prorok, Yandong Bai

arxiv:2511.03085 v2 · 2025-11-05 · 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{PL44IKJKM3ED5JPRWURXHPLA6Y}

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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.

Cited by

1 paper in Pith

On 2-connected graphs without cycles of length 1 modulo 3

Receipt and verification

First computed	2026-07-10T01:19:40.441945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af9c4292a66c83ea5f1b52373bd60f63a6895a6892bcdbdd0b6f0089d2a74c7

Aliases

arxiv: 2511.03085 · arxiv_version: 2511.03085v2 · doi: 10.48550/arxiv.2511.03085 · pith_short_12: PL44IKJKM3ED · pith_short_16: PL44IKJKM3ED5JPR · pith_short_8: PL44IKJK

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/PL44IKJKM3ED5JPRWURXHPLA6Y \
  | 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: 7af9c4292a66c83ea5f1b52373bd60f63a6895a6892bcdbdd0b6f0089d2a74c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb5ff66e5d2d13e5725a8b1230d0336f87a683ac3f72a4f078e5a6240023bf2d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-11-05T00:21:31Z",
    "title_canon_sha256": "777de52eb1e24fe0f5ef128d4d2795ab71932836109760850496c3e6814c3729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.03085",
    "kind": "arxiv",
    "version": 2
  }
}