Pith Number

pith:226RFRMU

pith:2012:226RFRMU5RJLY6UJQ4PMB7OYEA

not attested not anchored not stored refs pending

Abelian 1-factorizations of complete multipartite graphs

Mathieu Bogaerts

arxiv:1210.1078 v1 · 2012-10-03 · 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{226RFRMU5RJLY6UJQ4PMB7OYEA}

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	2026-05-18T03:44:05.568908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bd12c594ec52bc7a89871ec0fdd820025c41b9cd89faeda0e6aa5e8b5223b7

Aliases

arxiv: 1210.1078 · arxiv_version: 1210.1078v1 · doi: 10.48550/arxiv.1210.1078 · pith_short_12: 226RFRMU5RJL · pith_short_16: 226RFRMU5RJLY6UJ · pith_short_8: 226RFRMU

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/226RFRMU5RJLY6UJQ4PMB7OYEA \
  | 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: d6bd12c594ec52bc7a89871ec0fdd820025c41b9cd89faeda0e6aa5e8b5223b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "109e78fb5fedf47a37c355609a2b293d2aa3168165b296adb3511ea695e08784",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-03T11:50:37Z",
    "title_canon_sha256": "cc2c5163b2288f3bea46ab05941da2f1047b3c767964f01f32ec797a8c034522"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1078",
    "kind": "arxiv",
    "version": 1
  }
}