Pith Number

pith:WIDDFR3V

pith:2025:WIDDFR3VY6WGI3ELYZHDYMOMWE

not attested not anchored not stored refs pending

Equatorial light bending around a Hairy Kiselev Black Hole

Faizuddin Ahmed, Hemwati Nandan, Saswati Roy, Shrishti Kukreti, Shubham Kala

arxiv:2507.15298 v1 · 2025-07-21 · 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{WIDDFR3VY6WGI3ELYZHDYMOMWE}

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

Light Deflection and Greybody Bound Around a BTZ-ModMax Black Hole in Plasma Medium

Receipt and verification

First computed	2026-07-05T11:40:22.221247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b20632c775c7ac646c8bc64e3c31ccb107e20474f52992be7729adef48a50b83

Aliases

arxiv: 2507.15298 · arxiv_version: 2507.15298v1 · doi: 10.48550/arxiv.2507.15298 · pith_short_12: WIDDFR3VY6WG · pith_short_16: WIDDFR3VY6WGI3EL · pith_short_8: WIDDFR3V

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/WIDDFR3VY6WGI3ELYZHDYMOMWE \
  | 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: b20632c775c7ac646c8bc64e3c31ccb107e20474f52992be7729adef48a50b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6ab863bc2f5007526b2fac6c911a90f09a91356b1235b7bd270471aad5d6086",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-21T06:55:56Z",
    "title_canon_sha256": "af22f5a1613705971410bf346414c1ab676dada83c0005daef4c36310e347171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15298",
    "kind": "arxiv",
    "version": 1
  }
}