Pith Number

pith:XFN2IOU6

pith:2024:XFN2IOU6SYO3I3QRWWRNEHSOA3

not attested not anchored not stored refs pending

Cosmic Expansion and Noether Gauge Symmetries in $f(R,T,R_{\mu\nu}T^{\mu\nu})$ Gravity

Iqra Nawazish, M. Sharif

arxiv:2407.02531 v1 · 2024-07-01 · 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{XFN2IOU6SYO3I3QRWWRNEHSOA3}

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	2026-07-05T08:39:37.972860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b95ba43a9e961db46e11b5a2d21e4e06dad62a6c21de6184e1d3cab1fb12daaa

Aliases

arxiv: 2407.02531 · arxiv_version: 2407.02531v1 · doi: 10.48550/arxiv.2407.02531 · pith_short_12: XFN2IOU6SYO3 · pith_short_16: XFN2IOU6SYO3I3QR · pith_short_8: XFN2IOU6

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/XFN2IOU6SYO3I3QRWWRNEHSOA3 \
  | 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: b95ba43a9e961db46e11b5a2d21e4e06dad62a6c21de6184e1d3cab1fb12daaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a76da4d6cf7e3790089f5296306c3b8d93931fb762f3b3f17baddb091021884",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-07-01T10:35:12Z",
    "title_canon_sha256": "a8e6b64fea2c82e8c444d1246188efcf071a677b4cfa8b3a2c7e43d6693834bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.02531",
    "kind": "arxiv",
    "version": 1
  }
}