Pith Number

pith:WRVJWH6I

pith:2009:WRVJWH6IQ7HRGERRD2HN4XA6TY

not attested not anchored not stored refs pending

A theory of induction and classification of tensor C*-categories

Claudia Pinzari, John E. Roberts

arxiv:0907.2459 v3 · 2009-07-14 · math.OA · 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{WRVJWH6IQ7HRGERRD2HN4XA6TY}

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	2026-05-18T04:36:49.347941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46a9b1fc887cf1312311e8ede5c1e9e2dcbbe8c54cbd64d73a410b5e84cd152

Aliases

arxiv: 0907.2459 · arxiv_version: 0907.2459v3 · doi: 10.48550/arxiv.0907.2459 · pith_short_12: WRVJWH6IQ7HR · pith_short_16: WRVJWH6IQ7HRGERR · pith_short_8: WRVJWH6I

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/WRVJWH6IQ7HRGERRD2HN4XA6TY \
  | 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: b46a9b1fc887cf1312311e8ede5c1e9e2dcbbe8c54cbd64d73a410b5e84cd152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3989c90679b1526bde3c914969b41a9f81b0bc7e8002feb983cc940ca2919859",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-07-14T21:51:44Z",
    "title_canon_sha256": "c2cc8d877337ecfedeec9ca9515325d8121a0ae3911b5b9b42e7420a0a72d22b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2459",
    "kind": "arxiv",
    "version": 3
  }
}