Pith Number

pith:YLFXY65X

pith:2006:YLFXY65XH5T5NK5EP5ZM5VDBEH

not attested not anchored not stored refs pending

Offensive alliances in cubic graphs

J. A. Rodriguez, J. M. Sigarreta

arxiv:math/0610023 v1 · 2006-09-30 · 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{YLFXY65XH5T5NK5EP5ZM5VDBEH}

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	2026-05-18T03:00:15.098567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2cb7c7bb73f67d6aba47f72ced46121f8d701c0fce0576ef107e4b1344b9d47

Aliases

arxiv: math/0610023 · arxiv_version: math/0610023v1 · doi: 10.48550/arxiv.math/0610023 · pith_short_12: YLFXY65XH5T5 · pith_short_16: YLFXY65XH5T5NK5E · pith_short_8: YLFXY65X

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/YLFXY65XH5T5NK5EP5ZM5VDBEH \
  | 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: c2cb7c7bb73f67d6aba47f72ced46121f8d701c0fce0576ef107e4b1344b9d47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e7609cd40092071399441bd1765df284b348356960bf0ecc6aa8fb086522f3d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2006-09-30T15:23:39Z",
    "title_canon_sha256": "ed4aa97432519469a4a3b47443c295cb8b9ee4692c2b5a3de9abd8b6e9a1b4ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610023",
    "kind": "arxiv",
    "version": 1
  }
}