Pith Number

pith:FL6GV6SI

pith:2020:FL6GV6SIVDAVVBWS2SZ3EKPNCW

not attested not anchored not stored refs pending

Cartesian differential categories as skew enriched categories

Jean-Simon Pacaud Lemay, Richard Garner

arxiv:2002.02554 v3 · 2020-02-06 · 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{FL6GV6SIVDAVVBWS2SZ3EKPNCW}

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	2026-07-05T11:58:15.026552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2afc6afa48a8c15a86d2d4b3b229ed15ab7d7945e3637f2ad5cd6094601372c5

Aliases

arxiv: 2002.02554 · arxiv_version: 2002.02554v3 · doi: 10.48550/arxiv.2002.02554 · pith_short_12: FL6GV6SIVDAV · pith_short_16: FL6GV6SIVDAVVBWS · pith_short_8: FL6GV6SI

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/FL6GV6SIVDAVVBWS2SZ3EKPNCW \
  | 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: 2afc6afa48a8c15a86d2d4b3b229ed15ab7d7945e3637f2ad5cd6094601372c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e7f1f757e5eb9435655871e361543530d54954184f9a7f7809b636658428ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2020-02-06T23:30:29Z",
    "title_canon_sha256": "f2f5f1b19d90cf50a3f606d49530fa0e82af249d73c45b39fb99fa2dbbfa1393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.02554",
    "kind": "arxiv",
    "version": 3
  }
}