Pith Number

pith:U7QFAQCA

pith:2013:U7QFAQCANCYTVWH35OQHHTIWEU

not attested not anchored not stored refs pending

Model structures from a monad on presheaves

Michael A. Warren

arxiv:1302.1782 v1 · 2013-02-07 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7QFAQCANCYTVWH35OQHHTIWEU}

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	2026-05-18T03:34:14.638226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e050404068b13ad8fbeba073cd16252aeccd69f458637164d31377b1db5aec

Aliases

arxiv: 1302.1782 · arxiv_version: 1302.1782v1 · doi: 10.48550/arxiv.1302.1782 · pith_short_12: U7QFAQCANCYT · pith_short_16: U7QFAQCANCYTVWH3 · pith_short_8: U7QFAQCA

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/U7QFAQCANCYTVWH35OQHHTIWEU \
  | 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: a7e050404068b13ad8fbeba073cd16252aeccd69f458637164d31377b1db5aec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887cac24b0e0f9b87675f73f30973b3877b0885423f7b5e69ca2ed33c37c4193",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-02-07T15:42:30Z",
    "title_canon_sha256": "2d6245d35e43fea42f1acf230d33ae3df7682091ac423aa3fa6ad3fa2414e215"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1782",
    "kind": "arxiv",
    "version": 1
  }
}