Pith Number

pith:F4QOELIN

pith:2011:F4QOELINA2ZBO5R26LOJT2EUWG

not attested not anchored not stored refs pending

On the number of Hamilton cycles in pseudo-random graphs

Michael Krivelevich

arxiv:1111.6261 v2 · 2011-11-27 · 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{F4QOELINA2ZBO5R26LOJT2EUWG}

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	2026-05-18T04:05:03.345712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f20e22d0d06b217763af2dc99e894b1a70b1882c907384d67e147ed25946f5d

Aliases

arxiv: 1111.6261 · arxiv_version: 1111.6261v2 · doi: 10.48550/arxiv.1111.6261 · pith_short_12: F4QOELINA2ZB · pith_short_16: F4QOELINA2ZBO5R2 · pith_short_8: F4QOELIN

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/F4QOELINA2ZBO5R26LOJT2EUWG \
  | 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: 2f20e22d0d06b217763af2dc99e894b1a70b1882c907384d67e147ed25946f5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab8d5b9b9bbe5c9cf4cd3c01e50113cb2483387f4ad6b1322e9d4010933b79c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-27T14:36:57Z",
    "title_canon_sha256": "e682ad9f4cb66ffed861348711943adb1dabd46989c599fbcbbe5ac4f525394f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6261",
    "kind": "arxiv",
    "version": 2
  }
}