Pith Number

pith:I5G2J2TJ

pith:2011:I5G2J2TJAASPJQMPWJEWQLIZBY

not attested not anchored not stored refs pending

Effects of f(R) Model on the Dynamical Instability of Expansionfree Gravitational Collapse

H. Rizwana Kausar, M. Sharif

arxiv:1109.3010 v1 · 2011-09-14 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I5G2J2TJAASPJQMPWJEWQLIZBY}

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	2026-05-18T02:00:33.171281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

474da4ea690024f4c18fb249682d190e37941b37bdc15da45da558b3fc26df41

Aliases

arxiv: 1109.3010 · arxiv_version: 1109.3010v1 · doi: 10.48550/arxiv.1109.3010 · pith_short_12: I5G2J2TJAASP · pith_short_16: I5G2J2TJAASPJQMP · pith_short_8: I5G2J2TJ

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/I5G2J2TJAASPJQMPWJEWQLIZBY \
  | 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: 474da4ea690024f4c18fb249682d190e37941b37bdc15da45da558b3fc26df41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d6c7bf909a60a369fbae64394e012adb144d71c5d95b45892d80d2a9473d97b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-09-14T07:42:30Z",
    "title_canon_sha256": "f9aa47bca74a6da14f2f5634b70e02be36a391cb5a590cdffa2fef5d1a1d1439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3010",
    "kind": "arxiv",
    "version": 1
  }
}