Pith Number

pith:7NJPMPFO

pith:2017:7NJPMPFOP2SBUCSGZ3LC7A6I4C

not attested not anchored not stored refs pending

A density version of Cobham's theorem

Jakub Byszewski, Jakub Konieczny

arxiv:1710.07261 v2 · 2017-10-19 · math.NT · cs.FL · 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{7NJPMPFOP2SBUCSGZ3LC7A6I4C}

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	2026-05-18T00:31:35.523825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb52f63cae7ea41a0a46ced62f83c8e0b3373cb1dbbca2f93b248523825ccf87

Aliases

arxiv: 1710.07261 · arxiv_version: 1710.07261v2 · doi: 10.48550/arxiv.1710.07261 · pith_short_12: 7NJPMPFOP2SB · pith_short_16: 7NJPMPFOP2SBUCSG · pith_short_8: 7NJPMPFO

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/7NJPMPFOP2SBUCSGZ3LC7A6I4C \
  | 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: fb52f63cae7ea41a0a46ced62f83c8e0b3373cb1dbbca2f93b248523825ccf87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d6ed18201fff5e7aa6f7de4f62e910b9effb4fe59c22b6ee5b299a2528ee32",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-19T17:36:41Z",
    "title_canon_sha256": "95b4a0434e6c8e9aa147d3e8ae8e2f5c3788ebf4a7740ba3242b745f5ab24d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.07261",
    "kind": "arxiv",
    "version": 2
  }
}