Pith Number

pith:JZ6ZQLQP

pith:2023:JZ6ZQLQP2NUHTMLLFX2HVE2SS2

not attested not anchored not stored refs pending

Indivisibility and uniform computational strength

Kenneth Gill

arxiv:2312.03919 v8 · 2023-12-06 · math.LO · cs.LO · 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{JZ6ZQLQP2NUHTMLLFX2HVE2SS2}

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.

Cited by

1 paper in Pith

Effectiveness and strong graph indivisibility

Receipt and verification

First computed	2026-07-05T11:23:06.290712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e7d982e0fd36879b16b2df47a9352969d30d86e2e9a16a2aa61c7f1582d8858

Aliases

arxiv: 2312.03919 · arxiv_version: 2312.03919v8 · doi: 10.48550/arxiv.2312.03919 · pith_short_12: JZ6ZQLQP2NUH · pith_short_16: JZ6ZQLQP2NUHTMLL · pith_short_8: JZ6ZQLQP

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/JZ6ZQLQP2NUHTMLLFX2HVE2SS2 \
  | 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: 4e7d982e0fd36879b16b2df47a9352969d30d86e2e9a16a2aa61c7f1582d8858

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81c4f39a86023d382e7ed88c62cbb0eb760dd8bd856639cf9974d4a810f36aaf",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2023-12-06T21:34:37Z",
    "title_canon_sha256": "6589e8d8e19d37e718bb42aa37032dd72985d8010a91dae30a6153345741e6e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.03919",
    "kind": "arxiv",
    "version": 8
  }
}