Pith Number

pith:3KSVMG3Y

pith:2001:3KSVMG3YTQRSYKBUWQPAWUP54C

not attested not anchored not stored refs pending

Conformal Subnets and Intermediate Subfactors

Roberto Longo

arxiv:math/0102196 v2 · 2001-02-26 · math.OA · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KSVMG3YTQRSYKBUWQPAWUP54C}

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

Rational and non-rational two-dimensional conformal field theories arising from lattices

Receipt and verification

First computed	2026-05-18T04:25:02.233349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa5561b789c232c2834b41e0b51fde087457c38d05368fdd128c0acbcb3ece7

Aliases

arxiv: math/0102196 · arxiv_version: math/0102196v2 · doi: 10.48550/arxiv.math/0102196 · pith_short_12: 3KSVMG3YTQRS · pith_short_16: 3KSVMG3YTQRSYKBU · pith_short_8: 3KSVMG3Y

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/3KSVMG3YTQRSYKBUWQPAWUP54C \
  | 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: daa5561b789c232c2834b41e0b51fde087457c38d05368fdd128c0acbcb3ece7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74f4111e2824970c7af937893a068448e90c08649c94d3eb3d1aaf084a8667c8",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2001-02-26T14:43:48Z",
    "title_canon_sha256": "fb9272e85a92b584332dcd5d9a1bd034bb6d44b6671680bdde2355fde91ce493"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0102196",
    "kind": "arxiv",
    "version": 2
  }
}