Pith Number

pith:DHBQMYQF

pith:2025:DHBQMYQFAQ3J3GS2GBR7EADBXJ

not attested not anchored not stored refs pending

Spinning generalizations of Majumdar-Papapetrou multi-black hole spacetimes: light rings, lensing and shadows

Carlos A. R. Herdeiro, Lu\'is C. B. Crispino, Zeus S. Moreira

arxiv:2502.01759 v1 · 2025-02-03 · 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{DHBQMYQFAQ3J3GS2GBR7EADBXJ}

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	2026-07-05T10:09:18.616572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19c306620504369d9a5a3063f20061ba47187558a25a1eb82ba657c4f525b63c

Aliases

arxiv: 2502.01759 · arxiv_version: 2502.01759v1 · doi: 10.48550/arxiv.2502.01759 · pith_short_12: DHBQMYQFAQ3J · pith_short_16: DHBQMYQFAQ3J3GS2 · pith_short_8: DHBQMYQF

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/DHBQMYQFAQ3J3GS2GBR7EADBXJ \
  | 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: 19c306620504369d9a5a3063f20061ba47187558a25a1eb82ba657c4f525b63c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "488ccf3dbf5acfb47b333d39ed894a6e7eeaf5b6e29ac73e6bec81d29bb59feb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-03T19:02:21Z",
    "title_canon_sha256": "1ed5e02325ea300318475214ff257aa71ec9ea5def59a2662730b7ead4b96d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01759",
    "kind": "arxiv",
    "version": 1
  }
}