Pith Number

pith:BU5WKWWR

pith:2025:BU5WKWWREVYFTUAMOH22JWMN7R

not attested not anchored not stored refs pending

Matter environments around black holes: geodesics, light rings, and ultracompact configurations

Caio F. B. Macedo, Diego Rubiera-Garcia, Dylan S. Fonseca, Mateus Malato Corr\^ea

arxiv:2512.22267 v2 · 2025-12-24 · gr-qc · astro-ph.GA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BU5WKWWREVYFTUAMOH22JWMN7R}

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

3 papers in Pith

Mass-Varying Dark Matter Induced Scalarization and Scalar Clouds around Black Holes

Properties of black holes in non-linear electrodynamics

Receipt and verification

First computed	2026-06-19T16:10:33.809432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d3b655ad1257059d00c71f5a4d98dfc76f6b3ce65faf558a977e1e3fdc455ab

Aliases

arxiv: 2512.22267 · arxiv_version: 2512.22267v2 · doi: 10.48550/arxiv.2512.22267 · pith_short_12: BU5WKWWREVYF · pith_short_16: BU5WKWWREVYFTUAM · pith_short_8: BU5WKWWR

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/BU5WKWWREVYFTUAMOH22JWMN7R \
  | 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: 0d3b655ad1257059d00c71f5a4d98dfc76f6b3ce65faf558a977e1e3fdc455ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9fc890ba9e89c466e61257228529b300aaa35240e05f0632ff01dcb799a2df6",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-24T19:00:55Z",
    "title_canon_sha256": "9288cd44b3a3ed17152d7f1f66e2cc4ca25e499d7eedd092edf101d8ca748cd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22267",
    "kind": "arxiv",
    "version": 2
  }
}