Pith Number

pith:PZ7G6OI5

pith:1999:PZ7G6OI5WJXVLSULAWXTSMQ3OF

not attested not anchored not stored refs pending

Quantum Teichm\"uller space

L.Chekhov, V.V.Fock

arxiv:math/9908165 v2 · 1999-08-30 · 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{PZ7G6OI5WJXVLSULAWXTSMQ3OF}

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

3 papers in Pith

An observer's quantization of 3d de Sitter

A solvable model of 3d quantum gravity

The Super Virasoro Minimal String from 3d Supergravity

Receipt and verification

First computed	2026-07-04T14:41:17.572051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7e6f391db26f55ca8b05af39321b715b700c6b44d9db4bc9c449091a12a609

Aliases

arxiv: math/9908165 · arxiv_version: math/9908165v2 · doi: 10.48550/arxiv.math/9908165 · pith_short_12: PZ7G6OI5WJXV · pith_short_16: PZ7G6OI5WJXVLSUL · pith_short_8: PZ7G6OI5

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/PZ7G6OI5WJXVLSULAWXTSMQ3OF \
  | 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: 7e7e6f391db26f55ca8b05af39321b715b700c6b44d9db4bc9c449091a12a609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01868d53d3b20c93f1bd9de11a1ace1f9610c7fd314e9956772692bca1f5df32",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-08-30T14:18:29Z",
    "title_canon_sha256": "01dc2237d31c3d7bd89138f858cd419435ce0aef18c18b2bbdbd3e5bb708b131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9908165",
    "kind": "arxiv",
    "version": 2
  }
}