Pith Number

pith:AZFXEZ3N

pith:2006:AZFXEZ3NTBU6ISCZIISH73S4GP

not attested not anchored not stored refs pending

Modular invariance for conformal full field algebras

Liang Kong, Yi-Zhi Huang

arxiv:math/0609570 v2 · 2006-09-20 · math.QA · 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{AZFXEZ3NTBU6ISCZIISH73S4GP}

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

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings

Receipt and verification

First computed	2026-05-18T03:06:04.087235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

064b72676d9869e4485942247fee5c33c988ffac3fef049b27f624313294d293

Aliases

arxiv: math/0609570 · arxiv_version: math/0609570v2 · doi: 10.48550/arxiv.math/0609570 · pith_short_12: AZFXEZ3NTBU6 · pith_short_16: AZFXEZ3NTBU6ISCZ · pith_short_8: AZFXEZ3N

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/AZFXEZ3NTBU6ISCZIISH73S4GP \
  | 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: 064b72676d9869e4485942247fee5c33c988ffac3fef049b27f624313294d293

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb54872576c1b7781bb1f76062354ea553728972c81df6d6bf31c70eeb79781",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2006-09-20T18:06:36Z",
    "title_canon_sha256": "b3b3e35d62c050dbf362df2afb73e18cd2a4336554cc22e0adc3532ec7dd3ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609570",
    "kind": "arxiv",
    "version": 2
  }
}