Pith Number

pith:K4UU7XTU

pith:2025:K4UU7XTUVCEQ6YQA2GGRY2C344

not attested not anchored not stored refs pending

Matter power spectrum in a power-law $f(G)$ gravity

Albert Munyeshyaka, Joseph Ntahompagaze, Praveen Kumar Dhankar

arxiv:2507.09610 v1 · 2025-07-13 · 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{K4UU7XTUVCEQ6YQA2GGRY2C344}

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	2026-07-05T11:36:36.713488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57294fde74a8890f6200d18d1c685be71912f06ea0fb2aa3d638b513436b4beb

Aliases

arxiv: 2507.09610 · arxiv_version: 2507.09610v1 · doi: 10.48550/arxiv.2507.09610 · pith_short_12: K4UU7XTUVCEQ · pith_short_16: K4UU7XTUVCEQ6YQA · pith_short_8: K4UU7XTU

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/K4UU7XTUVCEQ6YQA2GGRY2C344 \
  | 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: 57294fde74a8890f6200d18d1c685be71912f06ea0fb2aa3d638b513436b4beb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51964ac70406af4352c15e8f425b8261d1bc8472c416eb86653902b30f3a62b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-13T12:26:11Z",
    "title_canon_sha256": "235cbc200254485540bc2f46b974a0ef776a827b6b8b2fe654907aebf82fb4cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09610",
    "kind": "arxiv",
    "version": 1
  }
}