Pith Number

pith:VUPFEAZ3

pith:2012:VUPFEAZ32RSZ6ACD4Z3LME2ELL

not attested not anchored not stored refs pending

Accessory parameters for Liouville theory on the torus

Pietro Menotti

arxiv:1207.6884 v2 · 2012-07-30 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUPFEAZ32RSZ6ACD4Z3LME2ELL}

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	2026-05-18T01:56:06.212218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad1e52033bd4659f0043e676b613445ac47c5136e902857d7ec91b810cd0e5f0

Aliases

arxiv: 1207.6884 · arxiv_version: 1207.6884v2 · doi: 10.48550/arxiv.1207.6884 · pith_short_12: VUPFEAZ32RSZ · pith_short_16: VUPFEAZ32RSZ6ACD · pith_short_8: VUPFEAZ3

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/VUPFEAZ32RSZ6ACD4Z3LME2ELL \
  | 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: ad1e52033bd4659f0043e676b613445ac47c5136e902857d7ec91b810cd0e5f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "014720d35fabc31bc16cc2e654e0067ea988db00a6aa1e5cc54d000902415e83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-30T10:16:00Z",
    "title_canon_sha256": "c203b2596d0728c36d8ee73308766121e9db3598a93862de97d45413522fb320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6884",
    "kind": "arxiv",
    "version": 2
  }
}