Pith Number

pith:RK36O4VT

pith:2007:RK36O4VTIXCN5VMLSE7DJS35RU

not attested not anchored not stored refs pending

The low-dimensional structures formed by tricategories

Nick Gurski, Richard Garner

arxiv:0711.1761 v2 · 2007-11-12 · 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{RK36O4VTIXCN5VMLSE7DJS35RU}

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	2026-05-18T04:11:06.298970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab7e772b345c4ded58b913e34cb7d8d3a621790a464fed53284dcf6ffd3f347

Aliases

arxiv: 0711.1761 · arxiv_version: 0711.1761v2 · doi: 10.48550/arxiv.0711.1761 · pith_short_12: RK36O4VTIXCN · pith_short_16: RK36O4VTIXCN5VML · pith_short_8: RK36O4VT

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/RK36O4VTIXCN5VMLSE7DJS35RU \
  | 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: 8ab7e772b345c4ded58b913e34cb7d8d3a621790a464fed53284dcf6ffd3f347

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c211d303d6e53c83110bc5efc09292b84fa420942f9c2dfe2ca6dc56337368cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2007-11-12T12:39:26Z",
    "title_canon_sha256": "c8e9585a16c4aeaf6c1411471c4fd533ba06387f53e181029ad873c0bea7ec0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1761",
    "kind": "arxiv",
    "version": 2
  }
}