Pith Number

pith:34TVQFRR

pith:2025:34TVQFRRMTIHR2B65335QM5CE4

not attested not anchored not stored refs pending

Counting $k$-cycles in $5$-connected planar triangulations

Gyaneshwar Agrahari, Xiaonan Liu, Zhiyu Wang

arxiv:2507.18090 v2 · 2025-07-24 · 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{34TVQFRRMTIHR2B65335QM5CE4}

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	2026-07-05T11:49:57.656930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df2758163164d078e83eeef7d833a2272b69546a6f4945e12a3e0b12c0086522

Aliases

arxiv: 2507.18090 · arxiv_version: 2507.18090v2 · doi: 10.48550/arxiv.2507.18090 · pith_short_12: 34TVQFRRMTIH · pith_short_16: 34TVQFRRMTIHR2B6 · pith_short_8: 34TVQFRR

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/34TVQFRRMTIHR2B65335QM5CE4 \
  | 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: df2758163164d078e83eeef7d833a2272b69546a6f4945e12a3e0b12c0086522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad1a3c27c8f78469b8dfa592a5192afb4b0517fe555ac4aa75ea4a7243578a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-24T04:58:54Z",
    "title_canon_sha256": "6f48c9702cea3ef554bc39c164bc17357b9615cb450e5f7ae569ded5e8f2ede4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18090",
    "kind": "arxiv",
    "version": 2
  }
}