Pith Number

pith:BXZG456G

pith:2012:BXZG456GWK54IWS564QMGYDHCU

not attested not anchored not stored refs pending

Algebraic characterizations of regularity properties in bipartite graphs

A. Abiad, C. Dalf\`o, M.A. Fiol

arxiv:1205.5913 v2 · 2012-05-26 · math.CO · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXZG456GWK54IWS564QMGYDHCU}

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	2026-05-18T03:12:20.210040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df26e77c6b2bbc45a5df720c36067153027b0da630595f77131ec340e9a33a3

Aliases

arxiv: 1205.5913 · arxiv_version: 1205.5913v2 · doi: 10.48550/arxiv.1205.5913 · pith_short_12: BXZG456GWK54 · pith_short_16: BXZG456GWK54IWS5 · pith_short_8: BXZG456G

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/BXZG456GWK54IWS564QMGYDHCU \
  | 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: 0df26e77c6b2bbc45a5df720c36067153027b0da630595f77131ec340e9a33a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecc33bf6e166d2e4f3a46a682e2dcddc6a5f3357320c8936030863659c195f53",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-26T19:44:45Z",
    "title_canon_sha256": "f90c15f3b0c3af1cf4118a7b328ad7996a5d9a3e9d44e58c01e8b2c71fe55cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5913",
    "kind": "arxiv",
    "version": 2
  }
}