Pith Number

pith:K33KNQUN

pith:2018:K33KNQUN3LXI3CIR3MDUDV5XQC

not attested not anchored not stored refs pending

The Hamilton-Waterloo Problem with even cycle lengths

A.C. Burgess, P. Danziger, T. Traetta

arxiv:1810.02009 v3 · 2018-10-04 · 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{K33KNQUN3LXI3CIR3MDUDV5XQC}

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	2026-05-17T23:52:52.040238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f6a6c28ddaee8d8911db0741d7b780bc050de53686a7422c070d34302fed8f

Aliases

arxiv: 1810.02009 · arxiv_version: 1810.02009v3 · doi: 10.48550/arxiv.1810.02009 · pith_short_12: K33KNQUN3LXI · pith_short_16: K33KNQUN3LXI3CIR · pith_short_8: K33KNQUN

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/K33KNQUN3LXI3CIR3MDUDV5XQC \
  | 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: 56f6a6c28ddaee8d8911db0741d7b780bc050de53686a7422c070d34302fed8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f80ce1f4f7398e71e38ae3eb73ce377af33b9ec089c8cf70605266863571228e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-04T00:11:19Z",
    "title_canon_sha256": "465fb802d6fca6b4f0e6c466dd7ad81b8ad53184172f99b61594f9d0afab164d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02009",
    "kind": "arxiv",
    "version": 3
  }
}