Pith Number

pith:UHO72OWS

pith:2008:UHO72OWSTSA6FLRZ4MTAZK7TJW

not attested not anchored not stored refs pending

Invariant tensors and cellular categories

Bruce W. Westbury

arxiv:0806.4045 v1 · 2008-06-25 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHO72OWSTSA6FLRZ4MTAZK7TJW}

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	2026-05-18T04:24:45.551449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ddfd3ad29c81e2ae39e3260cabf34d8dd8e3cc5081d470c6cf2f99fc2dc87f

Aliases

arxiv: 0806.4045 · arxiv_version: 0806.4045v1 · doi: 10.48550/arxiv.0806.4045 · pith_short_12: UHO72OWSTSA6 · pith_short_16: UHO72OWSTSA6FLRZ · pith_short_8: UHO72OWS

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/UHO72OWSTSA6FLRZ4MTAZK7TJW \
  | 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: a1ddfd3ad29c81e2ae39e3260cabf34d8dd8e3cc5081d470c6cf2f99fc2dc87f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d10cec673c8ef35413870e205bde63ff86decb4c7bbd990bd9015668fb87215",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-06-25T08:26:53Z",
    "title_canon_sha256": "ae6efe3eb1a44ff7e089305e9dec31957ba8da967f61e7a0600c3fe96957d5da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.4045",
    "kind": "arxiv",
    "version": 1
  }
}