Pith Number

pith:WU4GZ3RT

pith:2022:WU4GZ3RTZ4VPW6TBCRJPIQWIEH

not attested not anchored not stored refs pending

The Virasoro structure and the scattering matrix for Liouville conformal field theory

Antti Kupiainen, Colin Guillarmou, Guillaume Baverez, R\'emi Rhodes, Vincent Vargas

arxiv:2204.02745 v2 · 2022-04-06 · math.PR · math-ph · math.MP · math.RT · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WU4GZ3RTZ4VPW6TBCRJPIQWIEH}

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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

Recursive relations for the S-matrix of Liouville theory

Receipt and verification

First computed	2026-07-05T08:43:04.294089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5386cee33cf2afb7a611452f442c821fa904a45aed824474bbb3197797099ec

Aliases

arxiv: 2204.02745 · arxiv_version: 2204.02745v2 · doi: 10.48550/arxiv.2204.02745 · pith_short_12: WU4GZ3RTZ4VP · pith_short_16: WU4GZ3RTZ4VPW6TB · pith_short_8: WU4GZ3RT

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/WU4GZ3RTZ4VPW6TBCRJPIQWIEH \
  | 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: b5386cee33cf2afb7a611452f442c821fa904a45aed824474bbb3197797099ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3997b9a93c2a369e5c97b34c5449ec4155dc3fb4af034dd3bd6703f2d331259e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-04-06T11:40:16Z",
    "title_canon_sha256": "a2329ccfc441db406636c8b20f973fd1dcea7bbff48f5ec4b8de95bddf6b6f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.02745",
    "kind": "arxiv",
    "version": 2
  }
}