Pith Number

pith:IXDMEWWH

pith:2000:IXDMEWWHIP6PAPKKRURGQ5TFTL

not attested not anchored not stored refs pending

Finite quantum groupoids and inclusions of finite type

K. Szlachanyi

arxiv:math/0011036 v1 · 2000-11-06 · 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{IXDMEWWHIP6PAPKKRURGQ5TFTL}

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

Classification of symmetric fusion categories over $\mathbb{R}$

Receipt and verification

First computed	2026-07-04T14:34:54.472931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45c6c25ac743fcf03d4a8d226876659ac0d19daa445ac22ccd7bc6b7bee1c9c6

Aliases

arxiv: math/0011036 · arxiv_version: math/0011036v1 · doi: 10.48550/arxiv.math/0011036 · pith_short_12: IXDMEWWHIP6P · pith_short_16: IXDMEWWHIP6PAPKK · pith_short_8: IXDMEWWH

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/IXDMEWWHIP6PAPKKRURGQ5TFTL \
  | 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: 45c6c25ac743fcf03d4a8d226876659ac0d19daa445ac22ccd7bc6b7bee1c9c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb0074e2ec0094c1bc5db36eeae9977bac59a94c26738327f21a77e26256781",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-11-06T21:43:47Z",
    "title_canon_sha256": "6f69e6c2cce0fd7d41b286a156c113e6f3c9c873d9f4c74d3f145417783db7b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0011036",
    "kind": "arxiv",
    "version": 1
  }
}