Pith Number

pith:QCWK5P3G

pith:2002:QCWK5P3GBMXHMI2BTVJCKKLD2R

not attested not anchored not stored refs pending

c=2 Rational Toroidal Conformal Field Theories via the Gauss Product

Bong H. Lian, Keiji Oguiso, Shing-Tung Yau, Shinobu Hosono

arxiv:hep-th/0211230 v3 · 2002-11-24 · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QCWK5P3GBMXHMI2BTVJCKKLD2R}

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	2026-05-18T04:35:23.446079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80acaebf660b2e7623419d52252963d471247bcc8071d9784ba394dfc354efb4

Aliases

arxiv: hep-th/0211230 · arxiv_version: hep-th/0211230v3 · doi: 10.48550/arxiv.hep-th/0211230 · pith_short_12: QCWK5P3GBMXH · pith_short_16: QCWK5P3GBMXHMI2B · pith_short_8: QCWK5P3G

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/QCWK5P3GBMXHMI2BTVJCKKLD2R \
  | 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: 80acaebf660b2e7623419d52252963d471247bcc8071d9784ba394dfc354efb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a76c717c4e34241f89b244bf660667b9309c62b8f967dcf19a53beceac7f6139",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-11-24T05:53:13Z",
    "title_canon_sha256": "69173355ba388b3bc0fd99ccfa440d797d165373a408f5f7b0437f3fce4a0196"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0211230",
    "kind": "arxiv",
    "version": 3
  }
}