Pith Number

pith:LWPS5B3R

pith:2017:LWPS5B3RCN5I622MS52LRM6MRX

not attested not anchored not stored refs pending

Enumeration of Labelled and Unlabelled Hamiltonian Cycles in Complete $k$-partite Graphs

Alexander Omelchenko, Evgeniy Krasko, Igor Labutin

arxiv:1709.03218 v1 · 2017-09-11 · 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{LWPS5B3RCN5I622MS52LRM6MRX}

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	2026-05-18T00:35:38.998760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d9f2e8771137a8f6b4c9774b8b3cc8de1dd7429d7f133ec87e4935cc5b7ee61

Aliases

arxiv: 1709.03218 · arxiv_version: 1709.03218v1 · doi: 10.48550/arxiv.1709.03218 · pith_short_12: LWPS5B3RCN5I · pith_short_16: LWPS5B3RCN5I622M · pith_short_8: LWPS5B3R

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/LWPS5B3RCN5I622MS52LRM6MRX \
  | 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: 5d9f2e8771137a8f6b4c9774b8b3cc8de1dd7429d7f133ec87e4935cc5b7ee61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3f0f0ebced2b84cef8043c9400082936b02ad78a75121ab7be86fc33bec5739",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-11T02:36:11Z",
    "title_canon_sha256": "134d02e57468bdeee85ddd442b6246da706e6a060dd2060034a68b7de79b9f2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03218",
    "kind": "arxiv",
    "version": 1
  }
}