Pith Number

pith:6O7RN2DQ

pith:2026:6O7RN2DQFOA5KU6EPASUF4LIC4

not attested not anchored not stored refs pending

Shadows and lensing signatures of a rotating black hole in a Hernquist dark matter halo

A. A. Ara\'ujo Filho, Amilcar R. Queiroz, Arun Kumar, C. F. S. Pereira, N. Heidari, V. B. Bezerra

arxiv:2607.08650 v1 · 2026-07-09 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6O7RN2DQFOA5KU6EPASUF4LIC4}

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	2026-07-10T01:19:56.578904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3bf16e8702b81d553c4782542f168171bf89e7e9dc4dedc6565e5ce526e5dfd

Aliases

arxiv: 2607.08650 · arxiv_version: 2607.08650v1 · doi: 10.48550/arxiv.2607.08650 · pith_short_12: 6O7RN2DQFOA5 · pith_short_16: 6O7RN2DQFOA5KU6E · pith_short_8: 6O7RN2DQ

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/6O7RN2DQFOA5KU6EPASUF4LIC4 \
  | 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: f3bf16e8702b81d553c4782542f168171bf89e7e9dc4dedc6565e5ce526e5dfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "027530b381d0a9ff5aa7cdadb56bd4ab2512978392a74844cb9af29c5271a110",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-09T16:20:30Z",
    "title_canon_sha256": "77d0ec35a60565382e8f40feb61aa55057d1a65390a109ea617fb30bdbc136c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08650",
    "kind": "arxiv",
    "version": 1
  }
}