Pith Number

pith:KLCHIPC2

pith:2010:KLCHIPC2RIHG25YM2R5IFVTKS3

not attested not anchored not stored refs pending

New superintegrable models with position-dependent mass from Bertrand's Theorem on curved spaces

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

arxiv:1011.0708 v1 · 2010-11-02 · 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{KLCHIPC2RIHG25YM2R5IFVTKS3}

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	2026-05-18T04:23:22.120394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52c4743c5a8a0e6d770cd47a82d66a96fc7d8febfa5a2486fb3294ebe3eea1c5

Aliases

arxiv: 1011.0708 · arxiv_version: 1011.0708v1 · doi: 10.48550/arxiv.1011.0708 · pith_short_12: KLCHIPC2RIHG · pith_short_16: KLCHIPC2RIHG25YM · pith_short_8: KLCHIPC2

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/KLCHIPC2RIHG25YM2R5IFVTKS3 \
  | 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: 52c4743c5a8a0e6d770cd47a82d66a96fc7d8febfa5a2486fb3294ebe3eea1c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ab3b38cbd6237d28cd160757842110a802dc8398b256a9a039525d2474534bf",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-02T19:29:20Z",
    "title_canon_sha256": "0a14d68ed156a439706f580342f7f21d5e94a6d4d01b8e5e16dfc6cba9169742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0708",
    "kind": "arxiv",
    "version": 1
  }
}