Pith Number

pith:TRM4YQ6V

pith:2012:TRM4YQ6VYXSX64GE7O4YP2ISVD

not attested not anchored not stored refs pending

Perfect partition of some regular bipartite graphs

Chi-Kwong Li, Gexin Yu, Jeff Soosiah

arxiv:1212.6091 v1 · 2012-12-25 · 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{TRM4YQ6VYXSX64GE7O4YP2ISVD}

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	2026-05-18T03:37:42.798590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c59cc43d5c5e57f70c4fbb987e912a8d388760518980f1493dd3c1284e9d16f

Aliases

arxiv: 1212.6091 · arxiv_version: 1212.6091v1 · doi: 10.48550/arxiv.1212.6091 · pith_short_12: TRM4YQ6VYXSX · pith_short_16: TRM4YQ6VYXSX64GE · pith_short_8: TRM4YQ6V

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/TRM4YQ6VYXSX64GE7O4YP2ISVD \
  | 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: 9c59cc43d5c5e57f70c4fbb987e912a8d388760518980f1493dd3c1284e9d16f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a83743754d6b712349eb09d46a763bed7da1a433469cfadbdd53e867a0eca9ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-25T22:20:46Z",
    "title_canon_sha256": "09ac963b78bb16aa9ea90c16b3dde0b63f24b6bfa720f8ddb1b102ec139361e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6091",
    "kind": "arxiv",
    "version": 1
  }
}