Pith Number

pith:R5KKOYDX

pith:2014:R5KKOYDXNUZ3PUPHWBOYPYCTFN

not attested not anchored not stored refs pending

The Spherically Symmetric Gravitational Collapse of a Clump of Solids in a Gas

Jeffrey N. Cuzzi, Karim Shariff

arxiv:1409.2541 v3 · 2014-09-08 · astro-ph.EP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5KKOYDXNUZ3PUPHWBOYPYCTFN}

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	2026-05-18T02:00:02.577055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f54a760776d33b7d1e7b05d87e0532b405a1bbb35b5a6e397bb6401ff590b85

Aliases

arxiv: 1409.2541 · arxiv_version: 1409.2541v3 · doi: 10.48550/arxiv.1409.2541 · pith_short_12: R5KKOYDXNUZ3 · pith_short_16: R5KKOYDXNUZ3PUPH · pith_short_8: R5KKOYDX

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/R5KKOYDXNUZ3PUPHWBOYPYCTFN \
  | 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: 8f54a760776d33b7d1e7b05d87e0532b405a1bbb35b5a6e397bb6401ff590b85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9054a6347294e7431163ba34b3ddb2b96a126ec04369cda087902dac431c50d8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2014-09-08T22:28:49Z",
    "title_canon_sha256": "fa9a2f69c2d1bccfe3461681d0cb693d8e834cff7cb8cf5a90666bf02de9271e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.2541",
    "kind": "arxiv",
    "version": 3
  }
}