Pith Number

pith:4QDAKOA7

pith:2013:4QDAKOA7BK6OIVTVFECKKQ3YEC

not attested not anchored not stored refs pending

Gravitational and harmonic oscillator potentials on surfaces of revolution

Manuele Santoprete

arxiv:1305.3930 v1 · 2013-05-16 · math.DS · math-ph · math.DG · 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{4QDAKOA7BK6OIVTVFECKKQ3YEC}

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	2026-05-18T00:33:28.085886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e40605381f0abce456752904a5437820ae3068733f0c12130aa618691cb59b5f

Aliases

arxiv: 1305.3930 · arxiv_version: 1305.3930v1 · doi: 10.48550/arxiv.1305.3930 · pith_short_12: 4QDAKOA7BK6O · pith_short_16: 4QDAKOA7BK6OIVTV · pith_short_8: 4QDAKOA7

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/4QDAKOA7BK6OIVTVFECKKQ3YEC \
  | 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: e40605381f0abce456752904a5437820ae3068733f0c12130aa618691cb59b5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1eed4fe1406ddb65ad6ac0c6367495c23e993c808cc564b6559adc87ec8484d",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-05-16T20:27:47Z",
    "title_canon_sha256": "15021438c18dfb9d4bdea2bbb957bdf84e354ac52065f7b27d89c4e41307feea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3930",
    "kind": "arxiv",
    "version": 1
  }
}