Pith Number

pith:RNZCJBYA

pith:2005:RNZCJBYARCZDQL56KIQ56O5BTV

not attested not anchored not stored refs pending

On the Three-point Function in Minimal Liouville Gravity

Al.Zamolodchikov

arxiv:hep-th/0505063 v1 · 2005-05-06 · 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{RNZCJBYARCZDQL56KIQ56O5BTV}

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

2 papers in Pith

Timelike Liouville theory and AdS$_3$ gravity at finite cutoff

Quantum Liouville Cosmology

Receipt and verification

First computed	2026-05-18T01:38:45.706468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b7224870088b2382fbe5221df3ba19d4408556e5d67de0dfc560b3f9d8f576b

Aliases

arxiv: hep-th/0505063 · arxiv_version: hep-th/0505063v1 · doi: 10.48550/arxiv.hep-th/0505063 · pith_short_12: RNZCJBYARCZD · pith_short_16: RNZCJBYARCZDQL56 · pith_short_8: RNZCJBYA

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/RNZCJBYARCZDQL56KIQ56O5BTV \
  | 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: 8b7224870088b2382fbe5221df3ba19d4408556e5d67de0dfc560b3f9d8f576b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f86166b021d317c086a9daff5d25363690926e5dae6acc681d106d8500338257",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-05-06T18:36:10Z",
    "title_canon_sha256": "f45412ed8ac72ac941bb4b0d97bce6a9fcf82e55a244c9c09afc558eb6080cbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0505063",
    "kind": "arxiv",
    "version": 1
  }
}