Pith Number

pith:GF3ALBL2

pith:2020:GF3ALBL2P7ARXQX55CTX4THB3W

not attested not anchored not stored refs pending

Light deflection angle through velocity profile of galaxies in $f(R)$ model

Bal Krishna Yadav, Murli Manohar Verma, Vipin Kumar Sharma

arxiv:2011.02878 v1 · 2020-11-04 · 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{GF3ALBL2P7ARXQX55CTX4THB3W}

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

Primordial black hole induced gravitational waves in $f(R)$ gravity

Receipt and verification

First computed	2026-07-05T04:36:45.315185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

317605857a7fc11bc2fde8a77e4ce1dd86f2aca8e2626e27206a52328f5ab97d

Aliases

arxiv: 2011.02878 · arxiv_version: 2011.02878v1 · doi: 10.48550/arxiv.2011.02878 · pith_short_12: GF3ALBL2P7AR · pith_short_16: GF3ALBL2P7ARXQX5 · pith_short_8: GF3ALBL2

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/GF3ALBL2P7ARXQX55CTX4THB3W \
  | 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: 317605857a7fc11bc2fde8a77e4ce1dd86f2aca8e2626e27206a52328f5ab97d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "017f61bcbebade94e9900d16f6a003d1629ccf6072192a338aa4e635c138af9a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-11-04T10:27:39Z",
    "title_canon_sha256": "b9a76f52d17f2b9cb7310f10877a68f004b452db0757a7d909cecc5c306d0a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.02878",
    "kind": "arxiv",
    "version": 1
  }
}