Pith Number

pith:6HMCG6U3

pith:2011:6HMCG6U3RZK2XE2SP7YSJJNQZ2

not attested not anchored not stored refs pending

Superintegrable Oscillator and Kepler Systems on Spaces of Nonconstant Curvature via the St\"ackel Transform

Alberto Enciso, Angel Ballesteros, Danilo Riglioni, Francisco J. Herranz, Orlando Ragnisco

arxiv:1103.4554 v2 · 2011-03-23 · 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{6HMCG6U3RZK2XE2SP7YSJJNQZ2}

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	2026-05-18T04:21:52.601851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1d8237a9b8e55ab93527ff124a5b0ce98eb6c05c908cfd14c39bf2467fa95fe

Aliases

arxiv: 1103.4554 · arxiv_version: 1103.4554v2 · doi: 10.48550/arxiv.1103.4554 · pith_short_12: 6HMCG6U3RZK2 · pith_short_16: 6HMCG6U3RZK2XE2S · pith_short_8: 6HMCG6U3

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/6HMCG6U3RZK2XE2SP7YSJJNQZ2 \
  | 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: f1d8237a9b8e55ab93527ff124a5b0ce98eb6c05c908cfd14c39bf2467fa95fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09cb150c1a6511620f2df921f292835e6da11d601a23fcd2db123151720beac",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-23T15:39:46Z",
    "title_canon_sha256": "d5b45ece64856145f756799422aac98c4e1a04de3de0990fbefd5482bed9ec72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4554",
    "kind": "arxiv",
    "version": 2
  }
}