Pith Number

pith:FV5Q2DXJ

pith:2013:FV5Q2DXJYQQI6ECQTECAMD7I5D

not attested not anchored not stored refs pending

On cubic bridgeless graphs whose edge-set cannot be covered by four perfect matchings

Giuseppe Mazzuoccolo, Louis Esperet

arxiv:1301.6926 v2 · 2013-01-29 · 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{FV5Q2DXJYQQI6ECQTECAMD7I5D}

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	2026-05-18T02:42:46.748341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7b0d0ee9c4208f10509904060fe8e8c9f04f8c8fc4e80f8546a8ea7fbf06d8

Aliases

arxiv: 1301.6926 · arxiv_version: 1301.6926v2 · doi: 10.48550/arxiv.1301.6926 · pith_short_12: FV5Q2DXJYQQI · pith_short_16: FV5Q2DXJYQQI6ECQ · pith_short_8: FV5Q2DXJ

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/FV5Q2DXJYQQI6ECQTECAMD7I5D \
  | 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: 2d7b0d0ee9c4208f10509904060fe8e8c9f04f8c8fc4e80f8546a8ea7fbf06d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42bb3f030aeb4d6e250721d910655b0aef8edf56c507f2753e94ec045e50e5ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-29T14:24:03Z",
    "title_canon_sha256": "3088d289b879d70e3a2de6da83e1e5b70f5a1de70495a5a725170a3e512944f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6926",
    "kind": "arxiv",
    "version": 2
  }
}