Pith Number

pith:25WSQ4DC

pith:2010:25WSQ4DCXIZO2PY6NPVAAMG6EK

not attested not anchored not stored refs pending

Group-theoretical approach to a non-central extension of the Kepler-Coulomb problem

Alberto Ventura, Gul-Mirza Kerimov

arxiv:1005.1215 v1 · 2010-05-07 · 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{25WSQ4DCXIZO2PY6NPVAAMG6EK}

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	2026-05-18T02:07:41.660103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d76d287062ba32ed3f1e6bea0030de229610e8a8c728c61fadef1d8aee690845

Aliases

arxiv: 1005.1215 · arxiv_version: 1005.1215v1 · doi: 10.48550/arxiv.1005.1215 · pith_short_12: 25WSQ4DCXIZO · pith_short_16: 25WSQ4DCXIZO2PY6 · pith_short_8: 25WSQ4DC

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/25WSQ4DCXIZO2PY6NPVAAMG6EK \
  | 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: d76d287062ba32ed3f1e6bea0030de229610e8a8c728c61fadef1d8aee690845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c75d368ce6f4e9ba2dbab0d87b14f432349b2fddb7a614f4a8558680c04a653",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-07T14:18:26Z",
    "title_canon_sha256": "d740428ac62e42f690cdd7ce17af46172d07b32a26e944f05176724f03c77d4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1215",
    "kind": "arxiv",
    "version": 1
  }
}