Pith Number

pith:XEQ4LUIM

pith:2024:XEQ4LUIMLEYBFQLNQD6K64DT2L

not attested not anchored not stored refs pending

Investigating the effects of gravitational lensing by Hu-Sawicki $\boldsymbol{f(R)}$ gravity black holes

Gayatri Mohan, Nashiba Parbin, Umananda Dev Goswami

arxiv:2411.19048 v2 · 2024-11-28 · 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{XEQ4LUIMLEYBFQLNQD6K64DT2L}

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

2 papers in Pith

Shadow dependent phenomenology framework for rotating black hole metric

Receipt and verification

First computed	2026-07-05T12:01:55.922613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b921c5d10c593012c16d80fcaf7073d2f22b8612ae548564c68406d77c985aca

Aliases

arxiv: 2411.19048 · arxiv_version: 2411.19048v2 · doi: 10.48550/arxiv.2411.19048 · pith_short_12: XEQ4LUIMLEYB · pith_short_16: XEQ4LUIMLEYBFQLN · pith_short_8: XEQ4LUIM

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/XEQ4LUIMLEYBFQLNQD6K64DT2L \
  | 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: b921c5d10c593012c16d80fcaf7073d2f22b8612ae548564c68406d77c985aca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d955b5c9bd3b96a1df5b3bcad56563b929e1d349550f3965d5e78c467aeb235a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-11-28T10:45:20Z",
    "title_canon_sha256": "2f5c446cf18686fc29fa389663c50abb898bac05a8a3b68f58728d3ce8652e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19048",
    "kind": "arxiv",
    "version": 2
  }
}