Pith Number

pith:JIAB3PMT

pith:2005:JIAB3PMTYYOEU5EBO6OGD5YWQF

not attested not anchored not stored refs pending

Maximally superintegrable Smorodinsky-Winternitz systems on the N-dimensional sphere and hyperbolic spaces

Angel Ballesteros, Francisco J. Herranz, Mariano Santander, Teresa Sanz-Gil

arxiv:math-ph/0501035 v1 · 2005-01-12 · 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{JIAB3PMTYYOEU5EBO6OGD5YWQF}

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	2026-05-17T23:40:37.197001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a001dbd93c61c4a7481779c61f71681430eeea4b9b0bae0d5bffea580275927

Aliases

arxiv: math-ph/0501035 · arxiv_version: math-ph/0501035v1 · doi: 10.48550/arxiv.math-ph/0501035 · pith_short_12: JIAB3PMTYYOE · pith_short_16: JIAB3PMTYYOEU5EB · pith_short_8: JIAB3PMT

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/JIAB3PMTYYOEU5EBO6OGD5YWQF \
  | 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: 4a001dbd93c61c4a7481779c61f71681430eeea4b9b0bae0d5bffea580275927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7cc6b14b4d6331c5d5d7f4d02886556f22c20f073c7977992fe98d0455a0051",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-01-12T14:15:02Z",
    "title_canon_sha256": "d8cecf1f86308069377f00540c72ae8bd51391eee8afe037e29ab1f36cc483ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0501035",
    "kind": "arxiv",
    "version": 1
  }
}