Pith Number

pith:WKDM3YO5

pith:2025:WKDM3YO5ZFJ6B6LCEKQVHPBKY7

not attested not anchored not stored refs pending

f(R, $G$, T) Gravity: Cosmological Implications and Dynamical System Analysis

G. Mustafa, Himanshu Chaudhary, Ratul Mandal, Tiberiu Harko, Ujjal Debnath

arxiv:2506.07623 v3 · 2025-06-09 · 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{WKDM3YO5ZFJ6B6LCEKQVHPBKY7}

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

Evolutionary Phase of Universe in $f(R,L_m,T)$ Gravity: The Dynamical System Analysis

Receipt and verification

First computed	2026-07-05T11:24:22.448941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b286cde1ddc953e0f96222a153bc2ac7c547be3be60d325760c08ff8f70606b9

Aliases

arxiv: 2506.07623 · arxiv_version: 2506.07623v3 · doi: 10.48550/arxiv.2506.07623 · pith_short_12: WKDM3YO5ZFJ6 · pith_short_16: WKDM3YO5ZFJ6B6LC · pith_short_8: WKDM3YO5

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/WKDM3YO5ZFJ6B6LCEKQVHPBKY7 \
  | 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: b286cde1ddc953e0f96222a153bc2ac7c547be3be60d325760c08ff8f70606b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f84c246a16218294745235a91449a143cfe60e026cbce8c085a235cd14483335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-09T10:39:29Z",
    "title_canon_sha256": "c616430e11a757b2cab41ab11fa9cccaa039b914fd92db0c5e6c5f7ec5d1c72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07623",
    "kind": "arxiv",
    "version": 3
  }
}