Pith Number

pith:7HVKYWH6

pith:2023:7HVKYWH66QO737SWMQKLALQZNS

not attested not anchored not stored refs pending

Counting Sets with Surnatural Numbers

Michael Mackey, Peter Lynch

arxiv:2311.09951 v2 · 2023-11-16 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7HVKYWH66QO737SWMQKLALQZNS}

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	2026-07-05T10:05:08.132605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9eaac58fef41dfdfe566414b02e196ca28e3087e7a6ae14cafa33718d14d763

Aliases

arxiv: 2311.09951 · arxiv_version: 2311.09951v2 · doi: 10.48550/arxiv.2311.09951 · pith_short_12: 7HVKYWH66QO7 · pith_short_16: 7HVKYWH66QO737SW · pith_short_8: 7HVKYWH6

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/7HVKYWH66QO737SWMQKLALQZNS \
  | 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: f9eaac58fef41dfdfe566414b02e196ca28e3087e7a6ae14cafa33718d14d763

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b959e1e347a7d1a16530c510f6214a27fa1e23330dcc4319c1ac7ea6f09f45c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2023-11-16T15:10:52Z",
    "title_canon_sha256": "a41826359b33149124990c8cdd3c5f50a7a0d3563cdf9c53ab93934c915dbd66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.09951",
    "kind": "arxiv",
    "version": 2
  }
}