Pith Number

pith:RUR3AZTP

pith:2014:RUR3AZTPAHT7YMXVFP6XPMSD2M

not attested not anchored not stored refs pending

Proof of the $1$-factorization and Hamilton Decomposition Conjectures

Allan Lo, Andrew Treglown, B\'ela Csaba, Daniela K\"uhn, Deryk Osthus

arxiv:1401.4159 v2 · 2014-01-16 · 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{RUR3AZTPAHT7YMXVFP6XPMSD2M}

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	2026-05-18T02:39:38.227267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d23b0666f01e7fc32f52bfd77b243d33b1ec1d883858d60210bd41e85f05214

Aliases

arxiv: 1401.4159 · arxiv_version: 1401.4159v2 · doi: 10.48550/arxiv.1401.4159 · pith_short_12: RUR3AZTPAHT7 · pith_short_16: RUR3AZTPAHT7YMXV · pith_short_8: RUR3AZTP

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/RUR3AZTPAHT7YMXVFP6XPMSD2M \
  | 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: 8d23b0666f01e7fc32f52bfd77b243d33b1ec1d883858d60210bd41e85f05214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ebb0310004fc6d288e763d28fc9fa0a71649f5967f2e3e3402de2b07cce9d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-16T20:44:15Z",
    "title_canon_sha256": "b47b6742d8690b3da06554eada1fd260605a410ed2a4684a1cf5ca55059568fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4159",
    "kind": "arxiv",
    "version": 2
  }
}