Pith Number

pith:OSHQXNG2

pith:2012:OSHQXNG2JUDZ2D3HEZWZTS5LWO

not attested not anchored not stored refs pending

Spherically symmetric equilibria for self-gravitating kinetic or fluid models in the non-relativistic and relativistic case - A simple proof for finite extension

Gerhard Rein, Tobias Ramming

arxiv:1203.2590 v1 · 2012-03-12 · gr-qc · astro-ph.GA · 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{OSHQXNG2JUDZ2D3HEZWZTS5LWO}

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	2026-05-18T03:04:50.088676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748f0bb4da4d079d0f67266d99cbabb3a54973878d14beb1b2ebf72e2b24d7a1

Aliases

arxiv: 1203.2590 · arxiv_version: 1203.2590v1 · doi: 10.48550/arxiv.1203.2590 · pith_short_12: OSHQXNG2JUDZ · pith_short_16: OSHQXNG2JUDZ2D3H · pith_short_8: OSHQXNG2

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/OSHQXNG2JUDZ2D3HEZWZTS5LWO \
  | 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: 748f0bb4da4d079d0f67266d99cbabb3a54973878d14beb1b2ebf72e2b24d7a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9b5ef39ec393df3c88cb2e0fce8283e7212b1faaa02006b8f9888dc3b1c7cce",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-03-12T19:15:05Z",
    "title_canon_sha256": "50fe32f8040639def3078235451b69094145260a34d2a47535e3a40074302513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2590",
    "kind": "arxiv",
    "version": 1
  }
}