Pith Number

pith:G35JSI55

pith:2013:G35JSI55NVSWDDZEIKOB63A7MJ

not attested not anchored not stored refs pending

Pairs of Fan-type heavy subgraphs for pancyclicity of 2-connected graphs

Bo Ning

arxiv:1301.1512 v4 · 2013-01-08 · 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{G35JSI55NVSWDDZEIKOB63A7MJ}

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	2026-05-18T03:04:13.916511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36fa9923bd6d65618f24429c1f6c1f6265e805d429f07ce27860c181f681d892

Aliases

arxiv: 1301.1512 · arxiv_version: 1301.1512v4 · doi: 10.48550/arxiv.1301.1512 · pith_short_12: G35JSI55NVSW · pith_short_16: G35JSI55NVSWDDZE · pith_short_8: G35JSI55

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/G35JSI55NVSWDDZEIKOB63A7MJ \
  | 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: 36fa9923bd6d65618f24429c1f6c1f6265e805d429f07ce27860c181f681d892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3e8ceff8c343c9c0889d69392c635445fc5d29f9fee6c9c06f0832a7d1ce9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-08T12:42:57Z",
    "title_canon_sha256": "d3173570a67eda374e49107291117e884840ccdda278607c6af86171186d73cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1512",
    "kind": "arxiv",
    "version": 4
  }
}