Pith Number

pith:HAO6J7ZK

pith:2024:HAO6J7ZKEIFA6ONYWLOS6R2FIM

not attested not anchored not stored refs pending

Boolean combinations of graphs

John Sylvester, Samuel Braunfeld, Sarosh Adenwalla, Viktor Zamaraev

arxiv:2412.19551 v1 · 2024-12-27 · 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{HAO6J7ZKEIFA6ONYWLOS6R2FIM}

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	2026-07-05T09:54:37.800529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381de4ff2a220a0f39b8b2dd2f4745433008830f838bdf7bd5de547ad3d267b9

Aliases

arxiv: 2412.19551 · arxiv_version: 2412.19551v1 · doi: 10.48550/arxiv.2412.19551 · pith_short_12: HAO6J7ZKEIFA · pith_short_16: HAO6J7ZKEIFA6ONY · pith_short_8: HAO6J7ZK

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/HAO6J7ZKEIFA6ONYWLOS6R2FIM \
  | 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: 381de4ff2a220a0f39b8b2dd2f4745433008830f838bdf7bd5de547ad3d267b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcf3188877cca902cb8400a0c617f1e02192887682f78b1eda77d4e740dd2243",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-27T09:47:53Z",
    "title_canon_sha256": "28d50fb15b7c8f675b8cebd7a063b783b6db3482c79b7176f2bb647b51a5ec0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.19551",
    "kind": "arxiv",
    "version": 1
  }
}