Pith Number

pith:SD5AGF64

pith:2011:SD5AGF64GTPWYORA4EZ32SV7VA

not attested not anchored not stored refs pending

Competition Numbers, Quasi-Line Graphs and Holes

Brendan D. McKay, Pascal Schweitzer, Patrick Schweitzer

arxiv:1110.2933 v3 · 2011-10-13 · 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{SD5AGF64GTPWYORA4EZ32SV7VA}

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	2026-05-18T03:09:23.188750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90fa0317dc34df6c3a20e133bd4abfa829d355a019c1bc9f1a4614736a7c0d6d

Aliases

arxiv: 1110.2933 · arxiv_version: 1110.2933v3 · doi: 10.48550/arxiv.1110.2933 · pith_short_12: SD5AGF64GTPW · pith_short_16: SD5AGF64GTPWYORA · pith_short_8: SD5AGF64

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/SD5AGF64GTPWYORA4EZ32SV7VA \
  | 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: 90fa0317dc34df6c3a20e133bd4abfa829d355a019c1bc9f1a4614736a7c0d6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d64e5d64908f4dd5ec21802570b3dfea71720386739daf8f35de25eb67cee7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-13T13:21:31Z",
    "title_canon_sha256": "903f47ae4c0c4d9e1e4e6e260595ae8e191fe3715691bd33933e1f3659756c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2933",
    "kind": "arxiv",
    "version": 3
  }
}