Pith Number

pith:LFCVU5QU

pith:2015:LFCVU5QURY6ID2CZIYPIPFSZK3

not attested not anchored not stored refs pending

Matrix model approach to minimal Liouville gravity revisited

V. Belavin, Yu. Rud

arxiv:1502.05575 v1 · 2015-02-19 · 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{LFCVU5QURY6ID2CZIYPIPFSZK3}

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

$x-y$ swap for $(2,2p+1)$ minimal string

Receipt and verification

First computed	2026-05-18T01:41:00.766374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59455a76148e3c81e859461e87965956e1bacecfac87b25ba47bc1cf73e8fd38

Aliases

arxiv: 1502.05575 · arxiv_version: 1502.05575v1 · doi: 10.48550/arxiv.1502.05575 · pith_short_12: LFCVU5QURY6I · pith_short_16: LFCVU5QURY6ID2CZ · pith_short_8: LFCVU5QU

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/LFCVU5QURY6ID2CZIYPIPFSZK3 \
  | 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: 59455a76148e3c81e859461e87965956e1bacecfac87b25ba47bc1cf73e8fd38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d96e9bd45a80be2185730b314ae41cb71509b2ae153e073fbe1295e3520d59b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-02-19T14:02:12Z",
    "title_canon_sha256": "926153e6b62b24234460195fb5fe56c61a6850aeb426633b0335ad0f07e4be09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05575",
    "kind": "arxiv",
    "version": 1
  }
}