Pith Number

pith:NEXFECF3

pith:2025:NEXFECF3D5A67MMQNXNR4V5OYW

not attested not anchored not stored refs pending

Strong Lensing Effect and Quasinormal Modes of Oscillations of Black Holes in $\boldsymbol{f(R,T)}$ Gravity Theory

Gayatri Mohan, Ronit Karmakar, Rupam Jyoti Borah, Umananda Dev Goswami

arxiv:2503.08402 v2 · 2025-03-11 · 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{NEXFECF3D5A67MMQNXNR4V5OYW}

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	2026-07-05T12:01:58.390511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

692e5208bb1f41efb1906ddb1e57aec584272e7d4e77b3f4435f5d0add828114

Aliases

arxiv: 2503.08402 · arxiv_version: 2503.08402v2 · doi: 10.48550/arxiv.2503.08402 · pith_short_12: NEXFECF3D5A6 · pith_short_16: NEXFECF3D5A67MMQ · pith_short_8: NEXFECF3

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/NEXFECF3D5A67MMQNXNR4V5OYW \
  | 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: 692e5208bb1f41efb1906ddb1e57aec584272e7d4e77b3f4435f5d0add828114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66129031f668ce03bfff856eeeb9aed7fa40da6180d206afdd4ad2d59524b162",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-03-11T13:06:11Z",
    "title_canon_sha256": "053a235e873091fc38e205e5b2a38f89547a16076241c96696240463b97ca28e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.08402",
    "kind": "arxiv",
    "version": 2
  }
}