Pith Number

pith:LO3ZZ7DU

pith:2016:LO3ZZ7DUYPWA7E2T6MUIKGLWAU

not attested not anchored not stored refs pending

Tube algebra of group-type subfactors

Dietmar Bisch, Narayan Rakshit, Paramita Das, Shamindra Kumar Ghosh

arxiv:1701.00097 v1 · 2016-12-31 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LO3ZZ7DUYPWA7E2T6MUIKGLWAU}

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	2026-05-18T00:53:36.380283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bb79cfc74c3ec0f9353f328851976051da33ecde9849643a8018edaace121d2

Aliases

arxiv: 1701.00097 · arxiv_version: 1701.00097v1 · doi: 10.48550/arxiv.1701.00097 · pith_short_12: LO3ZZ7DUYPWA · pith_short_16: LO3ZZ7DUYPWA7E2T · pith_short_8: LO3ZZ7DU

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/LO3ZZ7DUYPWA7E2T6MUIKGLWAU \
  | 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: 5bb79cfc74c3ec0f9353f328851976051da33ecde9849643a8018edaace121d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be39b893e0df24a48863ed0765095edaedfe96f76c28bc7d95f23285422e7293",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-31T13:04:03Z",
    "title_canon_sha256": "1d818cc031d4b96d055ef015909ee266298fd685b9e7f050c6c97acc753b3453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00097",
    "kind": "arxiv",
    "version": 1
  }
}