Pith Number

pith:753QKX5U

pith:2003:753QKX5UVA7XFIK5YYCHDICVF6

not attested not anchored not stored refs pending

Gravitational collapse of barotropic spherical fluids

Fabio Giannoni, Giulio Magli, Paolo Piccione, Roberto Giambo'

arxiv:gr-qc/0303043 v2 · 2003-03-11 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{753QKX5UVA7XFIK5YYCHDICVF6}

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.

Cited by

1 paper in Pith

An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole

Receipt and verification

First computed	2026-07-04T16:40:10.534937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff77055fb4a83f72a15dc60471a0552f8f4cd931d507fdcc1fac3f490389c130

Aliases

arxiv: gr-qc/0303043 · arxiv_version: gr-qc/0303043v2 · doi: 10.48550/arxiv.gr-qc/0303043 · pith_short_12: 753QKX5UVA7X · pith_short_16: 753QKX5UVA7XFIK5 · pith_short_8: 753QKX5U

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/753QKX5UVA7XFIK5YYCHDICVF6 \
  | 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: ff77055fb4a83f72a15dc60471a0552f8f4cd931d507fdcc1fac3f490389c130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8307681531caba2377e67bce4b60b631ee35b6e214a8fa1b2f8cc6a8974ea1e",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-03-11T16:44:25Z",
    "title_canon_sha256": "59a6e29363887f68f280a731e9a1749d668a06f3852165c7779b5a2891213cf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0303043",
    "kind": "arxiv",
    "version": 2
  }
}