Pith Number

pith:54D26BKE

pith:1999:54D26BKEXTKXEY2ZUWH3EFDYVR

not attested not anchored not stored refs pending

Heisenberg and Modular Invariance of N=2 Conformal Field Theory

Shi-shyr Roan

arxiv:hep-th/9902198 v3 · 1999-02-26 · hep-th · 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{54D26BKEXTKXEY2ZUWH3EFDYVR}

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	2026-05-18T00:53:51.976594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef07af0544bcd5726359a58fb21478ac7d0223a0c670cb48d86e0776ff45e34a

Aliases

arxiv: hep-th/9902198 · arxiv_version: hep-th/9902198v3 · doi: 10.48550/arxiv.hep-th/9902198 · pith_short_12: 54D26BKEXTKX · pith_short_16: 54D26BKEXTKXEY2Z · pith_short_8: 54D26BKE

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/54D26BKEXTKXEY2ZUWH3EFDYVR \
  | 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: ef07af0544bcd5726359a58fb21478ac7d0223a0c670cb48d86e0776ff45e34a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce14392e1e709a0a7e0959bfc932cf2b0b613a2a8a75ce0fadd2d7a18a10ae34",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-02-26T03:57:22Z",
    "title_canon_sha256": "b1973613e46096c76292ee3a3024970b2f35a881f8cf336f61052d131ed82603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9902198",
    "kind": "arxiv",
    "version": 3
  }
}