Pith Number

pith:I36XJOMB

pith:2013:I36XJOMBBS2WAU4TCY4IKBEDI6

not attested not anchored not stored refs pending

A long cycle theorem involving Fan-type degree condition and neighborhood intersection

Bo Ning

arxiv:1301.1057 v2 · 2013-01-06 · 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{I36XJOMBBS2WAU4TCY4IKBEDI6}

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	2026-05-18T01:11:58.011676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46fd74b9810cb5605393163885048347b097ceb641c572245cd77bfb46e51d1d

Aliases

arxiv: 1301.1057 · arxiv_version: 1301.1057v2 · doi: 10.48550/arxiv.1301.1057 · pith_short_12: I36XJOMBBS2W · pith_short_16: I36XJOMBBS2WAU4T · pith_short_8: I36XJOMB

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/I36XJOMBBS2WAU4TCY4IKBEDI6 \
  | 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: 46fd74b9810cb5605393163885048347b097ceb641c572245cd77bfb46e51d1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74138c5af940bad96fc36433f3504544d9d8461f13bc8381a7e4d2a0972fbb19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-01-06T21:30:30Z",
    "title_canon_sha256": "bb004414d98bb2e151fc1ad0074f96548d282ebbee1038b3df13fcfd4c3a144c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1057",
    "kind": "arxiv",
    "version": 2
  }
}