Pith Number

pith:RIFZ5AHP

pith:2022:RIFZ5AHPN5AXPACM7BEQW7DREJ

not attested not anchored not stored refs pending

Effect of the modified gravity on the large scale structure formation

Ajay Kumar Sharma, Murli Manohar Verma

arxiv:2203.06741 v1 · 2022-03-13 · astro-ph.CO · 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{RIFZ5AHPN5AXPACM7BEQW7DREJ}

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

Variation in the size of the Photon Sphere and Black Hole Shadow in the Modified Gravity

Receipt and verification

First computed	2026-07-05T04:04:54.555634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0b9e80ef6f4177804cf8490b7c712270359f8abc7ae5a17084d309224cf4b1

Aliases

arxiv: 2203.06741 · arxiv_version: 2203.06741v1 · doi: 10.48550/arxiv.2203.06741 · pith_short_12: RIFZ5AHPN5AX · pith_short_16: RIFZ5AHPN5AXPACM · pith_short_8: RIFZ5AHP

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/RIFZ5AHPN5AXPACM7BEQW7DREJ \
  | 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: 8a0b9e80ef6f4177804cf8490b7c712270359f8abc7ae5a17084d309224cf4b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b089c603f6a9ef1b049aa5efdbae92b931d7c3e8a1184afdb3240b8fd3f3bd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-03-13T19:33:07Z",
    "title_canon_sha256": "314d0f1ba9d92d40343e5208b07fbab5461da6b113be93e5123a6cc5bbf411de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.06741",
    "kind": "arxiv",
    "version": 1
  }
}