Pith Number

pith:WA3GU5U4

pith:2014:WA3GU5U4BU4Q6MV4FYMAR6TIZD

not attested not anchored not stored refs pending

Proof of the 1-factorization and Hamilton decomposition conjectures II: the bipartite case

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

arxiv:1401.4164 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{WA3GU5U4BU4Q6MV4FYMAR6TIZD}

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	2026-05-18T02:39:32.051224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0366a769c0d390f32bc2e1808fa68c8f2f773a4070749c8aef88ea6e347db83

Aliases

arxiv: 1401.4164 · arxiv_version: 1401.4164v2 · doi: 10.48550/arxiv.1401.4164 · pith_short_12: WA3GU5U4BU4Q · pith_short_16: WA3GU5U4BU4Q6MV4 · pith_short_8: WA3GU5U4

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/WA3GU5U4BU4Q6MV4FYMAR6TIZD \
  | 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: b0366a769c0d390f32bc2e1808fa68c8f2f773a4070749c8aef88ea6e347db83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c5c3fffac2b62ec89ee248164bb7fc702c495d38a6fe50986a16af8c118225",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-16T20:54:20Z",
    "title_canon_sha256": "b0febe20376fcadbbdea18134fd2b47a389c0f2009a7dc7a341ceb87f3a8fe1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.4164",
    "kind": "arxiv",
    "version": 2
  }
}