Pith Number

pith:AVTH67DK

pith:2023:AVTH67DKQ4LYSJPZ3D4GKYRHCB

not attested not anchored not stored refs pending

The Raychaudhuri Equation in inhomogeneous FLRW space-time : A $f(R)$-gravity model

Akash Bose, Madhukrishna Chakraborty, Subenoy Chakraborty

arxiv:2302.08782 v1 · 2023-02-17 · 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{AVTH67DKQ4LYSJPZ3D4GKYRHCB}

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

Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity

Receipt and verification

First computed	2026-07-05T05:42:54.661884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05667f7c6a87178925f9d8f8656227106cffd6606a560c3ff360488045583fd6

Aliases

arxiv: 2302.08782 · arxiv_version: 2302.08782v1 · doi: 10.48550/arxiv.2302.08782 · pith_short_12: AVTH67DKQ4LY · pith_short_16: AVTH67DKQ4LYSJPZ · pith_short_8: AVTH67DK

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/AVTH67DKQ4LYSJPZ3D4GKYRHCB \
  | 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: 05667f7c6a87178925f9d8f8656227106cffd6606a560c3ff360488045583fd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea4667ca6997b731ef49d31a8fe43954e46f7761abc5f32f5ede3a5620d6083",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-02-17T09:45:56Z",
    "title_canon_sha256": "3366b7c4685b836d276e4a89d4a175d8612c8103185f0acfc8313b3e6365a150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08782",
    "kind": "arxiv",
    "version": 1
  }
}