Pith Number

pith:V3CYZNIF

pith:2013:V3CYZNIFDX4ELZ6BURHLV3JXHI

not attested not anchored not stored refs pending

Algebraic study on Cameron-Walker graphs

Akihiro Higashitani, Augustine B. O'Keefe, Kyouko Kimura, Takayuki Hibi

arxiv:1308.4765 v4 · 2013-08-22 · math.AC · 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{V3CYZNIFDX4ELZ6BURHLV3JXHI}

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	2026-05-18T02:47:07.757747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec58cb5051df845e7c1a44ebaed373a079fb328edb60d93f0e1206e91cbfa91

Aliases

arxiv: 1308.4765 · arxiv_version: 1308.4765v4 · doi: 10.48550/arxiv.1308.4765 · pith_short_12: V3CYZNIFDX4E · pith_short_16: V3CYZNIFDX4ELZ6B · pith_short_8: V3CYZNIF

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/V3CYZNIFDX4ELZ6BURHLV3JXHI \
  | 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: aec58cb5051df845e7c1a44ebaed373a079fb328edb60d93f0e1206e91cbfa91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "644ae8bcc57d82ae70bdc20d715a368058a6ef924e6838665a91212176312839",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-22T05:48:54Z",
    "title_canon_sha256": "f561aad9fd0b55312249b5fbf48c6460b732ce7d47f9e8d5a41be2a77bb113d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4765",
    "kind": "arxiv",
    "version": 4
  }
}