Pith Number

pith:OXE6B2G4

pith:2002:OXE6B2G4VUKKBUFGYRIGR4B46M

not attested not anchored not stored refs pending

Finite, connected, semisimple, rigid tensor categories are linear

Greg Kuperberg (UC Davis)

arxiv:math/0209256 v1 · 2002-09-19 · math.QA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OXE6B2G4VUKKBUFGYRIGR4B46M}

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

Putting the Brauer back in Brauer-Picard

Receipt and verification

First computed	2026-07-05T00:04:34.855922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75c9e0e8dcad14a0d0a6c45068f03cf3201794555dacaea800a1cf11f8629cd9

Aliases

arxiv: math/0209256 · arxiv_version: math/0209256v1 · doi: 10.48550/arxiv.math/0209256 · pith_short_12: OXE6B2G4VUKK · pith_short_16: OXE6B2G4VUKKBUFG · pith_short_8: OXE6B2G4

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/OXE6B2G4VUKKBUFGYRIGR4B46M \
  | 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: 75c9e0e8dcad14a0d0a6c45068f03cf3201794555dacaea800a1cf11f8629cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39132e7296732560e13a5661812e42939af7235344205efbef35ad13d2d5e9e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2002-09-19T22:45:58Z",
    "title_canon_sha256": "acbe19209f2cd237e5bb581c560e257cae2995c9a22f5715c5e22f11da360616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209256",
    "kind": "arxiv",
    "version": 1
  }
}