Pith Number

pith:TDRMI7QC

pith:2019:TDRMI7QC6E4SNL66UQISTNF2FV

not attested not anchored not stored refs pending

Extended galactic rotational velocity profiles in $f(R)$ gravity background

Bal Krishna Yadav, Murli Manohar Verma, Vipin Kumar Sharma

arxiv:1912.12206 v1 · 2019-12-24 · 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{TDRMI7QC6E4SNL66UQISTNF2FV}

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	2026-07-05T01:20:04.866442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98e2c47e02f13926afdea41129b4ba2d7921ebc9da22d2ac627088b60b94cabe

Aliases

arxiv: 1912.12206 · arxiv_version: 1912.12206v1 · doi: 10.48550/arxiv.1912.12206 · pith_short_12: TDRMI7QC6E4S · pith_short_16: TDRMI7QC6E4SNL66 · pith_short_8: TDRMI7QC

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/TDRMI7QC6E4SNL66UQISTNF2FV \
  | 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: 98e2c47e02f13926afdea41129b4ba2d7921ebc9da22d2ac627088b60b94cabe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7729396cef65374647b9a1f8b32fd35c75d43c8580d8fab95bb15d2d6b0e3d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-12-24T08:03:41Z",
    "title_canon_sha256": "5e9a27eac5022442dd8cd1c744d9f9a578cb0f12e7e6516309c2ed396bc6827f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12206",
    "kind": "arxiv",
    "version": 1
  }
}