Pith Number

pith:WPF4TG2Q

pith:2006:WPF4TG2QG3YNFFTROKS2YVOVE4

not attested not anchored not stored refs pending

Universal integrals for superintegrable systems on N-dimensional spaces of constant curvature

Angel Ballesteros, Francisco J. Herranz

arxiv:math-ph/0610040 v1 · 2006-10-17 · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPF4TG2QG3YNFFTROKS2YVOVE4}

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	2026-05-18T04:17:54.489854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3cbc99b5036f0d2967172a5ac55d5270cc19441dcd2c25c8eb9426a2a339085

Aliases

arxiv: math-ph/0610040 · arxiv_version: math-ph/0610040v1 · doi: 10.48550/arxiv.math-ph/0610040 · pith_short_12: WPF4TG2QG3YN · pith_short_16: WPF4TG2QG3YNFFTR · pith_short_8: WPF4TG2Q

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/WPF4TG2QG3YNFFTROKS2YVOVE4 \
  | 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: b3cbc99b5036f0d2967172a5ac55d5270cc19441dcd2c25c8eb9426a2a339085

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725a7f961216cf72cd577c63b4fe11ff889496805b4faee43607701785049599",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-10-17T21:10:25Z",
    "title_canon_sha256": "6d7ae5f981b3a2208bdafead0a7963707ac677487b9a4e102abaff16dd29b895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0610040",
    "kind": "arxiv",
    "version": 1
  }
}