Pith Number

pith:RNXP24HF

pith:2012:RNXP24HFB7OLIIGG7PRSBKHWTO

not attested not anchored not stored refs pending

1-factor and cycle covers of cubic graphs

Eckhard Steffen

arxiv:1209.4510 v3 · 2012-09-20 · 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{RNXP24HFB7OLIIGG7PRSBKHWTO}

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	2026-05-18T01:32:42.124152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b6efd70e50fdcb420c6fbe320a8f69bb1d929031d4f51c90c3d8700761db102

Aliases

arxiv: 1209.4510 · arxiv_version: 1209.4510v3 · doi: 10.48550/arxiv.1209.4510 · pith_short_12: RNXP24HFB7OL · pith_short_16: RNXP24HFB7OLIIGG · pith_short_8: RNXP24HF

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/RNXP24HFB7OLIIGG7PRSBKHWTO \
  | 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: 8b6efd70e50fdcb420c6fbe320a8f69bb1d929031d4f51c90c3d8700761db102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc231411fdf67a1d674149e4caadd6b81c87fc8c3541516a87371ac1725ab8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-20T12:28:12Z",
    "title_canon_sha256": "8e0dbd9d7cc38cdde2c3f673a51b5fb554a88606bf39ea75df7a01937d8349d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4510",
    "kind": "arxiv",
    "version": 3
  }
}