Pith Number

pith:OKWQCKVH

pith:2014:OKWQCKVHYAAOE7XWOZCIVLAFJ7

not attested not anchored not stored refs pending

A cocategorical obstruction to tensor products of Gray-categories

John Bourke, Nick Gurski

arxiv:1412.1320 v2 · 2014-12-03 · 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{OKWQCKVHYAAOE7XWOZCIVLAFJ7}

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	2026-05-18T02:19:35.778601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72ad012aa7c000e27ef676448aac054ffe10f1bc778a4a45aefe3bbeebdba649

Aliases

arxiv: 1412.1320 · arxiv_version: 1412.1320v2 · doi: 10.48550/arxiv.1412.1320 · pith_short_12: OKWQCKVHYAAO · pith_short_16: OKWQCKVHYAAOE7XW · pith_short_8: OKWQCKVH

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/OKWQCKVHYAAOE7XWOZCIVLAFJ7 \
  | 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: 72ad012aa7c000e27ef676448aac054ffe10f1bc778a4a45aefe3bbeebdba649

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e41650d63b625cf24827841afbaafa75b3ed94cefa1e610947dbf7a3ff391a4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-12-03T13:27:46Z",
    "title_canon_sha256": "a2a2417ccd5b0366c8104f61c53152567090137bfeb1463f504d21f6d5f4d7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1320",
    "kind": "arxiv",
    "version": 2
  }
}