Pith Number

pith:J4WUB6OZ

pith:2023:J4WUB6OZSBTYYDG7DA4OWUP72I

not attested not anchored not stored refs pending

Abstraction boundaries and spec driven development in pure mathematics

Adam Topaz, Johan Commelin

arxiv:2309.14870 v1 · 2023-09-26 · math.HO · cs.CY · cs.LO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4WUB6OZSBTYYDG7DA4OWUP72I}

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

2 papers in Pith

A Minimal Agent for Automated Theorem Proving

Automatic Textbook Formalization

Receipt and verification

First computed	2026-07-05T06:54:30.838341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2d40f9d990678c0cdf1838eb51ffd2184d106a6eb616e34a114665e3a63017

Aliases

arxiv: 2309.14870 · arxiv_version: 2309.14870v1 · doi: 10.48550/arxiv.2309.14870 · pith_short_12: J4WUB6OZSBTY · pith_short_16: J4WUB6OZSBTYYDG7 · pith_short_8: J4WUB6OZ

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/J4WUB6OZSBTYYDG7DA4OWUP72I \
  | 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: 4f2d40f9d990678c0cdf1838eb51ffd2184d106a6eb616e34a114665e3a63017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce225a8e20284710b25ca889b7aabf328edf6e5132dc29c66fbb6aa1e36853b",
    "cross_cats_sorted": [
      "cs.CY",
      "cs.LO",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2023-09-26T11:59:32Z",
    "title_canon_sha256": "d1de833b2221ed80b904f5ced1cde8b32fba7a5955f4a6f3209cdd19f4f62c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.14870",
    "kind": "arxiv",
    "version": 1
  }
}