Pith Number

pith:SBHFEZ72

pith:2017:SBHFEZ72OIYN3LZYCJM7W7Z4LQ

not attested not anchored not stored refs pending

Lecture notes on Liouville theory and the DOZZ formula

Vincent Vargas

arxiv:1712.00829 v1 · 2017-12-03 · 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{SBHFEZ72OIYN3LZYCJM7W7Z4LQ}

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	2026-05-18T00:29:00.296076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

904e5267fa7230ddaf381259fb7f3c5c1c4b1c1a94364fd6a065b203528974f5

Aliases

arxiv: 1712.00829 · arxiv_version: 1712.00829v1 · doi: 10.48550/arxiv.1712.00829 · pith_short_12: SBHFEZ72OIYN · pith_short_16: SBHFEZ72OIYN3LZY · pith_short_8: SBHFEZ72

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/SBHFEZ72OIYN3LZYCJM7W7Z4LQ \
  | 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: 904e5267fa7230ddaf381259fb7f3c5c1c4b1c1a94364fd6a065b203528974f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7a0bcc9bf98608c0a3c8dccef39a4c6e7b3e9c867380a90f53ec424d2392212",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-03T20:10:32Z",
    "title_canon_sha256": "db6b197f736e157537c7c1f5e200fceb2edf8678313ae4d839a67a41a7a1cb78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00829",
    "kind": "arxiv",
    "version": 1
  }
}