Pith Number

pith:G4WOCOAF

pith:2024:G4WOCOAF62KLOQT4RWWHC6LZET

not attested not anchored not stored refs pending

Sparse graphs with an independent or foresty minimum vertex cut

Kun Cheng, Xingzhi Zhan, Yurui Tang

arxiv:2412.03869 v1 · 2024-12-05 · 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{G4WOCOAF62KLOQT4RWWHC6LZET}

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	2026-07-05T09:44:42.434420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372ce13805f694b7427c8dac71797924ee07842ea34c8d8a0ea7c6c47fd451ff

Aliases

arxiv: 2412.03869 · arxiv_version: 2412.03869v1 · doi: 10.48550/arxiv.2412.03869 · pith_short_12: G4WOCOAF62KL · pith_short_16: G4WOCOAF62KLOQT4 · pith_short_8: G4WOCOAF

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/G4WOCOAF62KLOQT4RWWHC6LZET \
  | 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: 372ce13805f694b7427c8dac71797924ee07842ea34c8d8a0ea7c6c47fd451ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69109f16dfe9f31d9959d37ca6df6d5ca29298b0e80fdd320efdba81766ffeb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-05T04:39:48Z",
    "title_canon_sha256": "73d524407f62761e3dd0f32276009d41e8a17afc8d4482605243a31dcaefa0d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03869",
    "kind": "arxiv",
    "version": 1
  }
}