Pith Number

pith:3AJVD3SZ

pith:2021:3AJVD3SZS5A5ABKK4CAYZKC3BK

not attested not anchored not stored refs pending

Segal's axioms and bootstrap for Liouville Theory

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

arxiv:2112.14859 v2 · 2021-12-29 · math.PR · math-ph · math.CV · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AJVD3SZS5A5ABKK4CAYZKC3BK}

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

3 papers in Pith

Minkowskian open/closed conformal field theory possibly without vacuum: the Cardy case

Compactified imaginary Toda theory

Complex deformations of the circle: Group cohomology and Virasoro uniformization

Receipt and verification

First computed	2026-07-05T11:08:53.570515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81351ee599741d0054ae0818ca85b0ab06c8683f0652ef31e6573f22a328908

Aliases

arxiv: 2112.14859 · arxiv_version: 2112.14859v2 · doi: 10.48550/arxiv.2112.14859 · pith_short_12: 3AJVD3SZS5A5 · pith_short_16: 3AJVD3SZS5A5ABKK · pith_short_8: 3AJVD3SZ

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/3AJVD3SZS5A5ABKK4CAYZKC3BK \
  | 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: d81351ee599741d0054ae0818ca85b0ab06c8683f0652ef31e6573f22a328908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466f9cdfeb469aee528e41c48d8039617ddee4c235cd4d2a210b45f4e5cdc642",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-12-29T23:11:37Z",
    "title_canon_sha256": "06438f0fa4800ae6ddfbd78810ba5dade02e51d948074d3e91e4b5edcb51b884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14859",
    "kind": "arxiv",
    "version": 2
  }
}