Pith Number

pith:A4VHHDTU

pith:1999:A4VHHDTU23T35QSL6JU4ZYLQOS

not attested not anchored not stored refs pending

Congruence subgroups and rational conformal field theory

A. Coste, T. Gannon

arxiv:math/9909080 v1 · 1999-09-15 · math.QA · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4VHHDTU23T35QSL6JU4ZYLQOS}

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	2026-07-04T14:41:18.543872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

072a738e74d6e7bec24bf269cce170748269423840ff5be2e61809825045fca0

Aliases

arxiv: math/9909080 · arxiv_version: math/9909080v1 · doi: 10.48550/arxiv.math/9909080 · pith_short_12: A4VHHDTU23T3 · pith_short_16: A4VHHDTU23T35QSL · pith_short_8: A4VHHDTU

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/A4VHHDTU23T35QSL6JU4ZYLQOS \
  | 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: 072a738e74d6e7bec24bf269cce170748269423840ff5be2e61809825045fca0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "696e376a1fa0a907f6ed5e6f514ef7986db78b03f2148c350b501d97c70fa5dd",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-09-15T17:48:24Z",
    "title_canon_sha256": "9adbd6f87e54592150d1c7b88c434fa09d73c7e22401696408fa59c6e8bfe014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9909080",
    "kind": "arxiv",
    "version": 1
  }
}