Pith Number

pith:BDN46EWS

pith:2025:BDN46EWSKCCMNUQ7XSCLZWRMHU

not attested not anchored not stored refs pending

Study on deflection angle, shadow, quasinormal modes, and greybody factor of the black hole surrounded by quintessence in Rastall gravity

Farook Rahaman, Moumita Sarkar, Nayan Sarkar, Susmita Sarkar, Tuhina Manna

arxiv:2508.09221 v1 · 2025-08-11 · 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{BDN46EWSKCCMNUQ7XSCLZWRMHU}

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	2026-07-05T11:53:10.356526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08dbcf12d25084c6d21fbc84bcda2c3d35791f75948d618ffbe945ae283ac4fc

Aliases

arxiv: 2508.09221 · arxiv_version: 2508.09221v1 · doi: 10.48550/arxiv.2508.09221 · pith_short_12: BDN46EWSKCCM · pith_short_16: BDN46EWSKCCMNUQ7 · pith_short_8: BDN46EWS

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/BDN46EWSKCCMNUQ7XSCLZWRMHU \
  | 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: 08dbcf12d25084c6d21fbc84bcda2c3d35791f75948d618ffbe945ae283ac4fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48807d83154a25f9eff5aad3f2f62133f3a0df756c9cb040810f015874a66504",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-08-11T21:30:36Z",
    "title_canon_sha256": "6a8bd6bf61ab636f6d2497c41d0706e5b6384565081151b8402a7085ebf83004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09221",
    "kind": "arxiv",
    "version": 1
  }
}