Pith Number

pith:E6SR7OJU

pith:1999:E6SR7OJUSB3HTO3JSB34I6ZAFE

not attested not anchored not stored refs pending

Multi-interval Subfactors and Modularity of Representations in Conformal Field Theory

Michael Mueger, Roberto Longo, Yasuyuki Kawahigashi

arxiv:math/9903104 v2 · 1999-03-17 · 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{E6SR7OJUSB3HTO3JSB34I6ZAFE}

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	2026-05-18T04:25:02.215225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27a51fb934907679bb699077c47b20292ae4112a1e3b1a2c55f69a48d55d573d

Aliases

arxiv: math/9903104 · arxiv_version: math/9903104v2 · doi: 10.48550/arxiv.math/9903104 · pith_short_12: E6SR7OJUSB3H · pith_short_16: E6SR7OJUSB3HTO3J · pith_short_8: E6SR7OJU

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/E6SR7OJUSB3HTO3JSB34I6ZAFE \
  | 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: 27a51fb934907679bb699077c47b20292ae4112a1e3b1a2c55f69a48d55d573d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a27d8babaeea2e361f7145376bb6ada8cdb2bf45e3d12a3b44ea5428096d01",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "1999-03-17T16:08:18Z",
    "title_canon_sha256": "0148765254f779714ce0a68e18a506675293a8e2776547adf026fbe70ecc5460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9903104",
    "kind": "arxiv",
    "version": 2
  }
}