Pith Number

pith:PEWXDAL4

pith:2010:PEWXDAL43DNJZG5Z753XN2SIJY

not attested not anchored not stored refs pending

The Hamilton-Waterloo problem for Hamilton cycles and C4k-factors

Hao Shen, Hongchuan Lei, Hung-Lin Fu

arxiv:1009.0965 v2 · 2010-09-06 · 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{PEWXDAL43DNJZG5Z753XN2SIJY}

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	2026-05-18T03:38:56.443043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792d71817cd8da9c9bb9ff7776ea484e2136f3a58b15ba6cbba702020cf6e8af

Aliases

arxiv: 1009.0965 · arxiv_version: 1009.0965v2 · doi: 10.48550/arxiv.1009.0965 · pith_short_12: PEWXDAL43DNJ · pith_short_16: PEWXDAL43DNJZG5Z · pith_short_8: PEWXDAL4

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/PEWXDAL43DNJZG5Z753XN2SIJY \
  | 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: 792d71817cd8da9c9bb9ff7776ea484e2136f3a58b15ba6cbba702020cf6e8af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2400e5c89a13b5007f352db170a991525d9cea609333e7da6cc0e7f7130bfa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-06T02:19:08Z",
    "title_canon_sha256": "115f641ea4e4cedc6b3d9b9f04593acb9a97a3122fab43a1f019806260a72898"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0965",
    "kind": "arxiv",
    "version": 2
  }
}