Pith Number

pith:BRIVUE3M

pith:2015:BRIVUE3MD4B7QDBZKVNRZROJVI

not attested not anchored not stored refs pending

Gravitational Dust Collapse in $f(R)$ Gravity

M. Farasat Shamir, Zahid Ahmad, Zahid Raza

arxiv:1507.00904 v1 · 2015-07-01 · 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{BRIVUE3MD4B7QDBZKVNRZROJVI}

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	2026-05-18T01:37:22.324605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c515a136c1f03f80c39555b1cc5c9aa03b133a9535a62cc1edde0115d83661e

Aliases

arxiv: 1507.00904 · arxiv_version: 1507.00904v1 · doi: 10.48550/arxiv.1507.00904 · pith_short_12: BRIVUE3MD4B7 · pith_short_16: BRIVUE3MD4B7QDBZ · pith_short_8: BRIVUE3M

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/BRIVUE3MD4B7QDBZKVNRZROJVI \
  | 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: 0c515a136c1f03f80c39555b1cc5c9aa03b133a9535a62cc1edde0115d83661e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d77ecc3c785758ab7b8a4f8205f0f7e55868e63678b7f09c032fa5ab779da1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-07-01T08:05:07Z",
    "title_canon_sha256": "abc737b30f5bbe246fad22f862b7ced2dce1aca3bc3932291fc2084a1d6b800c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00904",
    "kind": "arxiv",
    "version": 1
  }
}