pith. sign in
Pith Number

pith:V5U7HFG3

pith:2011:V5U7HFG3J5ODOGMKH326UZEJ7J
not attested not anchored not stored refs pending

Recognizing [h,2,1] graphs

Liliana Alc\'on, Mar\'ia P\'ia Mazzoleni, Marisa Gutierrez

arxiv:1112.3254 v1 · 2011-12-14 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V5U7HFG3J5ODOGMKH326UZEJ7J}

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 2026-05-18T04:06:19.671959Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

af69f394db4f5c37198a3ef5ea6489fa4ddf249e3d913604eaa064f82e399749

Aliases

arxiv: 1112.3254 · arxiv_version: 1112.3254v1 · doi: 10.48550/arxiv.1112.3254 · pith_short_12: V5U7HFG3J5OD · pith_short_16: V5U7HFG3J5ODOGMK · pith_short_8: V5U7HFG3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V5U7HFG3J5ODOGMKH326UZEJ7J \
  | 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: af69f394db4f5c37198a3ef5ea6489fa4ddf249e3d913604eaa064f82e399749
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4b12521b35a8e4cbc82d4a95ceb0f6951b8beaae70f2360d5f90f066e504e90a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-14T15:47:43Z",
    "title_canon_sha256": "e41f7b809e39152732bc7276049b1ec9a17aa147102e2551cfe3e281c9530383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3254",
    "kind": "arxiv",
    "version": 1
  }
}