Pith Number

pith:VW5PG5ZP

pith:2021:VW5PG5ZPJCH6QCKBMLAIRXTUG5

not attested not anchored not stored refs pending

Logarithmic corrections to Newtonian gravity and Large Scale Structure

Behnam Pourhassan, Mir Faizal, Mir Hameeda, Salvatore Capozziello, Vincenzo Salzano

arxiv:2102.09602 v3 · 2021-02-11 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VW5PG5ZPJCH6QCKBMLAIRXTUG5}

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	2026-07-05T03:01:23.204550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adbaf3772f488fe8094162c088de7437570f909d4af7811b1cd7fb2234fc8e57

Aliases

arxiv: 2102.09602 · arxiv_version: 2102.09602v3 · doi: 10.48550/arxiv.2102.09602 · pith_short_12: VW5PG5ZPJCH6 · pith_short_16: VW5PG5ZPJCH6QCKB · pith_short_8: VW5PG5ZP

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/VW5PG5ZPJCH6QCKBMLAIRXTUG5 \
  | 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: adbaf3772f488fe8094162c088de7437570f909d4af7811b1cd7fb2234fc8e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43949fd8b07b6da5ee3dda1f5fb003df5754301af5deda4f26dbbd9b00afe3df",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-02-11T13:18:40Z",
    "title_canon_sha256": "a0d13b6fd48dc0c57f6556babc936dfa5de74c9af81745b7d6833d46b8b50359"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09602",
    "kind": "arxiv",
    "version": 3
  }
}