Pith Number

pith:AU5AVRRK

pith:2013:AU5AVRRKEJ62QZKURCBWLRCOVB

not attested not anchored not stored refs pending

When Hamilton circuits generate the cycle space of a random graph

Peter C. Heinig

arxiv:1303.0026 v3 · 2013-02-28 · 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{AU5AVRRKEJ62QZKURCBWLRCOVB}

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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.

Cited by

1 paper in Pith

On graphs whose cycle space is spanned by their Hamilton cycles

Receipt and verification

First computed	2026-05-18T03:16:51.145287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

053a0ac62a227da86554888365c44ea85e9d3049f995403915c80a83c1fc4303

Aliases

arxiv: 1303.0026 · arxiv_version: 1303.0026v3 · doi: 10.48550/arxiv.1303.0026 · pith_short_12: AU5AVRRKEJ62 · pith_short_16: AU5AVRRKEJ62QZKU · pith_short_8: AU5AVRRK

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/AU5AVRRKEJ62QZKURCBWLRCOVB \
  | 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: 053a0ac62a227da86554888365c44ea85e9d3049f995403915c80a83c1fc4303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3b12417789b192d591319e196739773a3bd24831d926b583b6141828e455cea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-28T21:40:24Z",
    "title_canon_sha256": "2896229cd25fd0304655610f3f126bf447eaa08541e23f0967e659cfae7e2e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0026",
    "kind": "arxiv",
    "version": 3
  }
}