Pith Number

pith:TYEKRCM7

pith:2015:TYEKRCM7FXTKA4L7Z256TIQJ2K

not attested not anchored not stored refs pending

Bicommutant categories from fusion categories

Andr\'e Henriques, David Penneys

arxiv:1511.05226 v2 · 2015-11-16 · math.OA · math.CT · 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{TYEKRCM7FXTKA4L7Z256TIQJ2K}

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	2026-05-18T00:54:48.064461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e08a8899f2de6a0717fcebbe9a209d2b12a4faf901f2b8876076be5346a228b

Aliases

arxiv: 1511.05226 · arxiv_version: 1511.05226v2 · doi: 10.48550/arxiv.1511.05226 · pith_short_12: TYEKRCM7FXTK · pith_short_16: TYEKRCM7FXTKA4L7 · pith_short_8: TYEKRCM7

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/TYEKRCM7FXTKA4L7Z256TIQJ2K \
  | 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: 9e08a8899f2de6a0717fcebbe9a209d2b12a4faf901f2b8876076be5346a228b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca7628c3f79ef6aad423a58730b0ae9987d613de78414ee5374a1e81ebd93f3b",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-11-16T23:52:09Z",
    "title_canon_sha256": "f5b39454483db43fdaf57ce71a22b2dc7b0f4a50b37863d4d62490e34e8b93d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05226",
    "kind": "arxiv",
    "version": 2
  }
}