Pith Number

pith:X2CH3ZGX

pith:2008:X2CH3ZGXPRO43V42LQRUZSO53U

not attested not anchored not stored refs pending

Uniformly Rotating Homogeneous and Polytropic Rings in Newtonian Gravity

David Petroff, Stefan Horatschek

arxiv:0808.2612 v2 · 2008-08-19 · astro-ph · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2CH3ZGXPRO43V42LQRUZSO53U}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:14:36.405215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be847de4d77c5dcdd79a5c234cc9dddd2cf52aff22ebed5443cad535d06f4245

Aliases

arxiv: 0808.2612 · arxiv_version: 0808.2612v2 · doi: 10.48550/arxiv.0808.2612 · pith_short_12: X2CH3ZGXPRO4 · pith_short_16: X2CH3ZGXPRO43V42 · pith_short_8: X2CH3ZGX

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/X2CH3ZGXPRO43V42LQRUZSO53U \
  | 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: be847de4d77c5dcdd79a5c234cc9dddd2cf52aff22ebed5443cad535d06f4245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1936195dd29f837fa2f7e322798f4a48e9a1e2f7cbfc1906d8da4938d01c7ae",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-08-19T15:10:15Z",
    "title_canon_sha256": "aa7e1e7073dae92ac8eb3f0186798318db2c3721a7c3d85afa2a018ce25315df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2612",
    "kind": "arxiv",
    "version": 2
  }
}