Pith Number

pith:FIJIWWXJ

pith:2014:FIJIWWXJ7VDLJMHPH6LCBYT6NX

not attested not anchored not stored refs pending

The maximum number of complete subgraphs of fixed size in a graph with given maximum degree

A.J. Radcliffe, Jonathan Cutler

arxiv:1405.1322 v1 · 2014-05-06 · 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{FIJIWWXJ7VDLJMHPH6LCBYT6NX}

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	2026-05-18T02:52:33.066088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a128b5ae9fd46b4b0ef3f9620e27e6df997bb76227258cd4431caaaea5ef082

Aliases

arxiv: 1405.1322 · arxiv_version: 1405.1322v1 · doi: 10.48550/arxiv.1405.1322 · pith_short_12: FIJIWWXJ7VDL · pith_short_16: FIJIWWXJ7VDLJMHP · pith_short_8: FIJIWWXJ

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/FIJIWWXJ7VDLJMHPH6LCBYT6NX \
  | 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: 2a128b5ae9fd46b4b0ef3f9620e27e6df997bb76227258cd4431caaaea5ef082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e84ecb092dd7c0d8a14b5ab7b72931ca436accf4eebd31baa30e37ece07e137",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-06T15:35:50Z",
    "title_canon_sha256": "44a9e8fe0398574274fbd4d4bc02532e901d2f152a87f4319a1cbd93e741f1e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1322",
    "kind": "arxiv",
    "version": 1
  }
}