Pith Number

pith:LQZ4KOKF

pith:2002:LQZ4KOKFFQWJFUWYG55BW4JGC2

not attested not anchored not stored refs pending

Quantum Liouville theory versus quantized Teichm\"uller spaces

J. Teschner

arxiv:hep-th/0212243 v1 · 2002-12-19 · 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{LQZ4KOKFFQWJFUWYG55BW4JGC2}

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	2026-05-18T01:38:49.025776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c33c539452c2c92d2d8377a1b712616b954e12627ef4a3771003703a4e03a70

Aliases

arxiv: hep-th/0212243 · arxiv_version: hep-th/0212243v1 · doi: 10.48550/arxiv.hep-th/0212243 · pith_short_12: LQZ4KOKFFQWJ · pith_short_16: LQZ4KOKFFQWJFUWY · pith_short_8: LQZ4KOKF

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/LQZ4KOKFFQWJFUWYG55BW4JGC2 \
  | 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: 5c33c539452c2c92d2d8377a1b712616b954e12627ef4a3771003703a4e03a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46b7fbfabac5a15779a34f5c7af8a49bebd1a94dafb9bca3a41efc8dc6a0192",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-12-19T17:23:57Z",
    "title_canon_sha256": "fc7ca8294ac74bca336ff45079f2903ac28c11105e05977317137e602ede91b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0212243",
    "kind": "arxiv",
    "version": 1
  }
}