Pith Number

pith:CV67Y2TQ

pith:2020:CV67Y2TQSBAJ5UNZLN7YWLRLUK

not attested not anchored not stored refs pending

Tensor-restriction categories

C. Heunen, J. S. Pacaud Lemay

arxiv:2009.12432 v4 · 2020-09-25 · 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{CV67Y2TQSBAJ5UNZLN7YWLRLUK}

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

1 paper in Pith

Partializations of Markov categories

Receipt and verification

First computed	2026-07-05T02:47:57.067735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

157dfc6a7090409ed1b95b7f8b2e2ba2ac5f969308b4ec07a60890933f871a9d

Aliases

arxiv: 2009.12432 · arxiv_version: 2009.12432v4 · doi: 10.48550/arxiv.2009.12432 · pith_short_12: CV67Y2TQSBAJ · pith_short_16: CV67Y2TQSBAJ5UNZ · pith_short_8: CV67Y2TQ

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/CV67Y2TQSBAJ5UNZLN7YWLRLUK \
  | 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: 157dfc6a7090409ed1b95b7f8b2e2ba2ac5f969308b4ec07a60890933f871a9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db23c9a31e0073424599593ab6f6cbf4d9e0b3b2084b555920a0f82228ed839d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2020-09-25T20:49:09Z",
    "title_canon_sha256": "84de26a67194e0508baf35bcfb82b765d0ad0f696a9dd99680d8e6a357c5d2c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.12432",
    "kind": "arxiv",
    "version": 4
  }
}