Pith Number

pith:R6OGRFPR

pith:2017:R6OGRFPRBGPMKGIFFQIG2AUYQC

not attested not anchored not stored refs pending

Integrability of Liouville theory: proof of the DOZZ Formula

Antti Kupiainen, R\'emi Rhodes, Vincent Vargas

arxiv:1707.08785 v3 · 2017-07-27 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6OGRFPRBGPMKGIFFQIG2AUYQC}

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.

Receipt and verification

First computed	2026-07-05T00:00:43.084415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f9c6895f1099ec519052c106d029880997a56b502e9ae4baee3b4e523ad71e2

Aliases

arxiv: 1707.08785 · arxiv_version: 1707.08785v3 · doi: 10.48550/arxiv.1707.08785 · pith_short_12: R6OGRFPRBGPM · pith_short_16: R6OGRFPRBGPMKGIF · pith_short_8: R6OGRFPR

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/R6OGRFPRBGPMKGIFFQIG2AUYQC \
  | 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: 8f9c6895f1099ec519052c106d029880997a56b502e9ae4baee3b4e523ad71e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d752c27b139f7ca302a7a61869cac690bb75930f90c121b9e819d7ac44d4af51",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-27T09:00:06Z",
    "title_canon_sha256": "9e7585ce7c4c7cb9b921b767255681d1622fb5b66a31d72b392a93357e034115"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08785",
    "kind": "arxiv",
    "version": 3
  }
}