Pith Number

pith:5MDGX2B6

pith:2014:5MDGX2B64APNXQVVMKVR6TB24W

not attested not anchored not stored refs pending

Infinite index subfactors and the GICAR categories

David Penneys, Vaughan F. R. Jones

arxiv:1410.0856 v1 · 2014-10-03 · 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{5MDGX2B64APNXQVVMKVR6TB24W}

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	2026-05-18T02:41:09.590943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb066be83ee01edbc2b562ab1f4c3ae594c6beeb2d525846aa1d0ca311ff57d4

Aliases

arxiv: 1410.0856 · arxiv_version: 1410.0856v1 · doi: 10.48550/arxiv.1410.0856 · pith_short_12: 5MDGX2B64APN · pith_short_16: 5MDGX2B64APNXQVV · pith_short_8: 5MDGX2B6

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/5MDGX2B64APNXQVVMKVR6TB24W \
  | 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: eb066be83ee01edbc2b562ab1f4c3ae594c6beeb2d525846aa1d0ca311ff57d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c253622ce4eb45a7500c841c1af3a25c1480bb117ad58ca6119d5987d1271345",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-10-03T14:13:59Z",
    "title_canon_sha256": "ab58ae24232ddeddebc61a31bf649f25198a323c4eb9b06cb8fc5e15f0774bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0856",
    "kind": "arxiv",
    "version": 1
  }
}