Pith Number

pith:2DT6XT2Y

pith:2015:2DT6XT2Y2IJVQY5UQBZSRAHFZS

not attested not anchored not stored refs pending

The Maximum Number of 3- and 4-Cliques within a Planar Maximally Filtered Graph

Athanasios A. Pantelous, Jenna Birch, Konstantin Zuev

arxiv:1507.02929 v1 · 2015-07-10 · math-ph · cs.DS · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DT6XT2Y2IJVQY5UQBZSRAHFZS}

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	2026-05-18T01:37:02.912569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e7ebcf58d2135863b480732880e5cc934ee091a3d33000e6c7d9b2cda4a5cd

Aliases

arxiv: 1507.02929 · arxiv_version: 1507.02929v1 · doi: 10.48550/arxiv.1507.02929 · pith_short_12: 2DT6XT2Y2IJV · pith_short_16: 2DT6XT2Y2IJVQY5U · pith_short_8: 2DT6XT2Y

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/2DT6XT2Y2IJVQY5UQBZSRAHFZS \
  | 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: d0e7ebcf58d2135863b480732880e5cc934ee091a3d33000e6c7d9b2cda4a5cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d422a8c5f29d2e4c8aedf5dc5db351249d4b301112eeadd5078a38e99d1c336",
    "cross_cats_sorted": [
      "cs.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-10T15:04:33Z",
    "title_canon_sha256": "faf1b7460217c878d8faa08ef838cc218e8e2dadda70f1f37e2028643154435e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02929",
    "kind": "arxiv",
    "version": 1
  }
}