Pith Number

pith:YULUVLB7

pith:1999:YULUVLB7S62AG47ZO6EYES5ZH6

not attested not anchored not stored refs pending

Modular Invariants from Subfactors: Type I Coupling Matrices and Intermediate Subfactors

D.E. Evans, J. B\"ockenhauer

arxiv:math/9911239 v2 · 1999-11-30 · math.OA · hep-th · math-ph · math.MP · 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{YULUVLB7S62AG47ZO6EYES5ZH6}

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

Selection rules for RG flows of minimal models

Receipt and verification

First computed	2026-07-04T16:15:08.175857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5174aac3f97b40373f97789824bb93fb734ab173889ea1b06dec7dfa70dcb80

Aliases

arxiv: math/9911239 · arxiv_version: math/9911239v2 · doi: 10.48550/arxiv.math/9911239 · pith_short_12: YULUVLB7S62A · pith_short_16: YULUVLB7S62AG47Z · pith_short_8: YULUVLB7

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/YULUVLB7S62AG47ZO6EYES5ZH6 \
  | 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: c5174aac3f97b40373f97789824bb93fb734ab173889ea1b06dec7dfa70dcb80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c28ccd4b37a6b3f1de82750baceb6db5a55656a086e2029829524aee6c5be1",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "1999-11-30T12:36:34Z",
    "title_canon_sha256": "84ad1c8cf57142a54725c3995e2aaf47ddf8244417510a8a41e61a3b2e0c5ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911239",
    "kind": "arxiv",
    "version": 2
  }
}