Pith Number

pith:4XUGA7WJ

pith:2015:4XUGA7WJDJ3LC4FTVSNMUWP4CS

not attested not anchored not stored refs pending

Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity

Ifra Noureen, M. Zubair

arxiv:1501.04484 v2 · 2015-01-19 · 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{4XUGA7WJDJ3LC4FTVSNMUWP4CS}

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	2026-05-18T02:18:23.414823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e8607ec91a76b170b3ac9aca59fc14899ef10f60cc449c24c6f965eea7437d

Aliases

arxiv: 1501.04484 · arxiv_version: 1501.04484v2 · doi: 10.48550/arxiv.1501.04484 · pith_short_12: 4XUGA7WJDJ3L · pith_short_16: 4XUGA7WJDJ3LC4FT · pith_short_8: 4XUGA7WJ

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/4XUGA7WJDJ3LC4FTVSNMUWP4CS \
  | 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: e5e8607ec91a76b170b3ac9aca59fc14899ef10f60cc449c24c6f965eea7437d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93f3add3dc6452e1e46903c42bfaa79b342ac366cc8bc930ad03c08c6c59a2e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-01-19T13:16:58Z",
    "title_canon_sha256": "28732fb951120aee34a288b4b07386454c56c2971a82d55f16371b327b873a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04484",
    "kind": "arxiv",
    "version": 2
  }
}