Pith Number

pith:4OKVORGL

pith:2003:4OKVORGL45CNQKZMWSBQSDQXFE

not attested not anchored not stored refs pending

Classical Liouville action on the sphere with three hyperbolic singularities

Leszek Hadasz, Zbigniew Jaskolski

arxiv:hep-th/0309267 v1 · 2003-09-30 · 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{4OKVORGL45CNQKZMWSBQSDQXFE}

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

1 paper in Pith

Mixed Solutions to the Liouville Equation

Receipt and verification

First computed	2026-07-04T17:24:55.869824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3955744cbe744d82b2cb483090e1729236f095f6f74635fca147b6d17db09cf

Aliases

arxiv: hep-th/0309267 · arxiv_version: hep-th/0309267v1 · doi: 10.48550/arxiv.hep-th/0309267 · pith_short_12: 4OKVORGL45CN · pith_short_16: 4OKVORGL45CNQKZM · pith_short_8: 4OKVORGL

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/4OKVORGL45CNQKZMWSBQSDQXFE \
  | 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: e3955744cbe744d82b2cb483090e1729236f095f6f74635fca147b6d17db09cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f57df94638f7c7f3d68737b5d4dbc9d83ac1ed93a39604e25b1cfbea3d954ef8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-09-30T13:29:18Z",
    "title_canon_sha256": "b1b913648f7cbc5b0d9c44a8ee8bd6aa04da7ede1e31cdabbe7d1f1548cfe855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0309267",
    "kind": "arxiv",
    "version": 1
  }
}