Pith Number

pith:IMS7O5I6

pith:2005:IMS7O5I66CQ5OWIUIOAQO5NO3D

not attested not anchored not stored refs pending

Simple free star-autonomous categories and full coherence

Dominic Hughes

arxiv:math/0506521 v4 · 2005-06-25 · math.CT · 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{IMS7O5I66CQ5OWIUIOAQO5NO3D}

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	2026-05-18T03:59:12.565143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4325f7751ef0a1d7591443810775aed8da63a36c9113a8ff9eb2342bfc1136ff

Aliases

arxiv: math/0506521 · arxiv_version: math/0506521v4 · doi: 10.48550/arxiv.math/0506521 · pith_short_12: IMS7O5I66CQ5 · pith_short_16: IMS7O5I66CQ5OWIU · pith_short_8: IMS7O5I6

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/IMS7O5I66CQ5OWIUIOAQO5NO3D \
  | 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: 4325f7751ef0a1d7591443810775aed8da63a36c9113a8ff9eb2342bfc1136ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fc9ee0ada42a259e236942809b9eb2dd5b91caab96d5c8b4461d1fa8a0f76db",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2005-06-25T00:43:45Z",
    "title_canon_sha256": "2a1a0eda91541d79a0102b1099207929b39894ce1342751f334d3d4e32b620a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506521",
    "kind": "arxiv",
    "version": 4
  }
}