Pith Number

pith:4CHMFVNX

pith:2012:4CHMFVNX47QHB5SZ5CPSQ26V3J

not attested not anchored not stored refs pending

Counting and packing Hamilton cycles in dense graphs and oriented graphs

Asaf Ferber, Benny Sudakov, Michael Krivelevich

arxiv:1212.4667 v4 · 2012-12-19 · 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{4CHMFVNX47QHB5SZ5CPSQ26V3J}

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	2026-05-18T01:27:08.383174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08ec2d5b7e7e070f659e89f286bd5da718a3c6ebf8aef459e5597f51ae5ecb2

Aliases

arxiv: 1212.4667 · arxiv_version: 1212.4667v4 · doi: 10.48550/arxiv.1212.4667 · pith_short_12: 4CHMFVNX47QH · pith_short_16: 4CHMFVNX47QHB5SZ · pith_short_8: 4CHMFVNX

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/4CHMFVNX47QHB5SZ5CPSQ26V3J \
  | 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: e08ec2d5b7e7e070f659e89f286bd5da718a3c6ebf8aef459e5597f51ae5ecb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69b5c47e6ffeb6349bf12c6d1e858ff203288d814e1b3fc4373f66bae1fed3de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-19T14:27:55Z",
    "title_canon_sha256": "2d2675a2a821ad0257bd365c6524b173ea05aa7c171ce1568224d9fedcef84c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4667",
    "kind": "arxiv",
    "version": 4
  }
}