Pith Number

pith:ATLYA6G7

pith:2013:ATLYA6G7JPRALZLXNGNUUBJMO5

not attested not anchored not stored refs pending

Minimal Liouville Gravity correlation numbers from Douglas string equation

Alexander Belavin, Baur Mukhametzhanov, Boris Dubrovin

arxiv:1310.5659 v3 · 2013-10-21 · 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{ATLYA6G7JPRALZLXNGNUUBJMO5}

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

1 paper in Pith

An explicit four-corner dictionary for (2,p) minimal Liouville gravity

Receipt and verification

First computed	2026-05-18T02:43:02.500271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04d78078df4be205e577699b4a052c775cd735a18a5ec24b1f8d17fbe920e090

Aliases

arxiv: 1310.5659 · arxiv_version: 1310.5659v3 · doi: 10.48550/arxiv.1310.5659 · pith_short_12: ATLYA6G7JPRA · pith_short_16: ATLYA6G7JPRALZLX · pith_short_8: ATLYA6G7

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/ATLYA6G7JPRALZLXNGNUUBJMO5 \
  | 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: 04d78078df4be205e577699b4a052c775cd735a18a5ec24b1f8d17fbe920e090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8aadb88c37313e46d45dfda95d1ccbdbbdaa2e28e94c9ddcaa0a8b7e90fb1cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-10-21T17:50:21Z",
    "title_canon_sha256": "c18860f8d410a389cec990a88fd04fb5ed47791299dcda301cd23abd61cb9b95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5659",
    "kind": "arxiv",
    "version": 3
  }
}