Pith Number

pith:4JH5LHF6

pith:2026:4JH5LHF6QLSVFQAO5GSRZEWBQF

not attested not anchored not stored refs pending

Excluding paths and bicliques

Julien Codsi, Maria Chudnovsky, Martin Milani\v{c}, Matja\v{z} Krnc

arxiv:2607.13995 v1 · 2026-07-15 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JH5LHF6QLSVFQAO5GSRZEWBQF}

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	2026-07-16T01:23:18.528219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e24fd59cbe82e552c00ee9a51c92c1814c273e5430f2447d9d949bf580c4ab0a

Aliases

arxiv: 2607.13995 · arxiv_version: 2607.13995v1 · doi: 10.48550/arxiv.2607.13995 · pith_short_12: 4JH5LHF6QLSV · pith_short_16: 4JH5LHF6QLSVFQAO · pith_short_8: 4JH5LHF6

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/4JH5LHF6QLSVFQAO5GSRZEWBQF \
  | 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: e24fd59cbe82e552c00ee9a51c92c1814c273e5430f2447d9d949bf580c4ab0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7b7c796fdf7f8f31a94bad93a5416baec6af9b9543f3ce06d3d5117c5a380df",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-15T16:25:33Z",
    "title_canon_sha256": "641ca774b27f4d86b62a05aee7077a2da39a41c6c1dea597fbace3fcfd381e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13995",
    "kind": "arxiv",
    "version": 1
  }
}