Pith Number

pith:3DRBZBSQ

pith:2024:3DRBZBSQ2GTQXY6I3ZLQHGAU25

not attested not anchored not stored refs pending

Review on the probabilistic construction and Conformal bootstrap in Liouville Theory

Antti Kupiainen, Colin Guillarmou, R\'emi Rhodes

arxiv:2403.12780 v1 · 2024-03-19 · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DRBZBSQ2GTQXY6I3ZLQHGAU25}

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

Complex deformations of the circle: Group cohomology and Virasoro uniformization

Receipt and verification

First computed	2026-07-05T07:58:06.952076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e21c8650d1a70be3c8de57039814d7579a8b12136d8f1fcf55130794db3e68

Aliases

arxiv: 2403.12780 · arxiv_version: 2403.12780v1 · doi: 10.48550/arxiv.2403.12780 · pith_short_12: 3DRBZBSQ2GTQ · pith_short_16: 3DRBZBSQ2GTQXY6I · pith_short_8: 3DRBZBSQ

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/3DRBZBSQ2GTQXY6I3ZLQHGAU25 \
  | 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: d8e21c8650d1a70be3c8de57039814d7579a8b12136d8f1fcf55130794db3e68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0727995237042bcb2d55e5655c8bbcbfcf74db39c8d220889e97a5dba66e316",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-03-19T14:47:29Z",
    "title_canon_sha256": "af259c3de57cea6606ac7eeb3b3a79fc139ff59387d55bf7ae58fe9f75492b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.12780",
    "kind": "arxiv",
    "version": 1
  }
}