Pith Number

pith:RRF4AIJZ

pith:2007:RRF4AIJZMVVVR32OYRR2ZJ3LLC

not attested not anchored not stored refs pending

Superintegrable anharmonic oscillators on N-dimensional curved spaces

Alberto Encisco, Angel Ballesteros, Francisco J. Herranz, Orlando Ragnisco

arxiv:0710.0843 v2 · 2007-10-03 · 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{RRF4AIJZMVVVR32OYRR2ZJ3LLC}

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	2026-05-18T02:16:10.801358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c4bc02139656b58ef4ec463aca76b588f32d8e187a5203e125f79cf39054774

Aliases

arxiv: 0710.0843 · arxiv_version: 0710.0843v2 · doi: 10.48550/arxiv.0710.0843 · pith_short_12: RRF4AIJZMVVV · pith_short_16: RRF4AIJZMVVVR32O · pith_short_8: RRF4AIJZ

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/RRF4AIJZMVVVR32OYRR2ZJ3LLC \
  | 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: 8c4bc02139656b58ef4ec463aca76b588f32d8e187a5203e125f79cf39054774

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b7ec677667cdc0fb453239cb511e77351b3a5c181ec345b690a28cc8f799eb6",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2007-10-03T17:24:06Z",
    "title_canon_sha256": "e0118f443ba458ecc782d5abb7a768950547da41de971eeb45a6ecf40f9b9607"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0843",
    "kind": "arxiv",
    "version": 2
  }
}