Pith Number

pith:MFJIZUCC

pith:2012:MFJIZUCCEIX3IHVVFEUX3Q4JYA

not attested not anchored not stored refs pending

Degree and neighborhood intersection conditions restricted to induced subgraphs ensuring Hamiltonicity of graphs

Bing Chen, Bo Ning, Shenggui Zhang

arxiv:1212.6466 v4 · 2012-12-28 · 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{MFJIZUCCEIX3IHVVFEUX3Q4JYA}

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	2026-05-18T02:49:20.498780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61528cd042222fb41eb529297dc389c0307947cb884a78150c3680ab3a82756b

Aliases

arxiv: 1212.6466 · arxiv_version: 1212.6466v4 · doi: 10.48550/arxiv.1212.6466 · pith_short_12: MFJIZUCCEIX3 · pith_short_16: MFJIZUCCEIX3IHVV · pith_short_8: MFJIZUCC

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/MFJIZUCCEIX3IHVVFEUX3Q4JYA \
  | 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: 61528cd042222fb41eb529297dc389c0307947cb884a78150c3680ab3a82756b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f171b2dedda6a74467f63b64a74382cfa3568c77c633e231e5e03c00dd78f12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-28T05:55:57Z",
    "title_canon_sha256": "de144856a288555e315c0e995c837fde9fc1f194e417444e95c38808da68cd35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6466",
    "kind": "arxiv",
    "version": 4
  }
}