Pith Number

pith:HYD5HWDJ

pith:2012:HYD5HWDJHHPNT2EUGCBWZ6TSAK

not attested not anchored not stored refs pending

The anisotropic oscillator on the two-dimensional sphere and the hyperbolic plane

Angel Ballesteros, Fabio Musso, Francisco J. Herranz

arxiv:1207.0071 v2 · 2012-06-30 · nlin.SI · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYD5HWDJHHPNT2EUGCBWZ6TSAK}

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	2026-05-18T01:56:36.152408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e07d3d86939ded9e89430836cfa7202b37e60d77d51ad3ae11bd428e447810e

Aliases

arxiv: 1207.0071 · arxiv_version: 1207.0071v2 · doi: 10.48550/arxiv.1207.0071 · pith_short_12: HYD5HWDJHHPN · pith_short_16: HYD5HWDJHHPNT2EU · pith_short_8: HYD5HWDJ

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/HYD5HWDJHHPNT2EUGCBWZ6TSAK \
  | 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: 3e07d3d86939ded9e89430836cfa7202b37e60d77d51ad3ae11bd428e447810e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639063cc156df1adedd7d87c5757520e0061c1d07d6ed74853def472a88ef411",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2012-06-30T10:13:27Z",
    "title_canon_sha256": "7bcd66f0cacf401e2c7136891ecfda57d9f08c2fc6f5f97d8238da4eba6db1c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0071",
    "kind": "arxiv",
    "version": 2
  }
}