Pith Number

pith:7AZW5IYZ

pith:2025:7AZW5IYZUGFCNBBH74SQ2X2N5E

not attested not anchored not stored refs pending

Hair imprints of the gravitational decoupling and hairy black hole spectroscopy

R. da Rocha, R. T. Cavalcanti, V. F. Guimar\~aes

arxiv:2506.20044 v2 · 2025-06-24 · 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{7AZW5IYZUGFCNBBH74SQ2X2N5E}

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 due to Spinoptic Effects in Parametrized and Spherically Symmetric Hairy Black Holes

Receipt and verification

First computed	2026-07-05T12:03:49.353487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8336ea319a18a268427ff250d5f4de91588540149cf368655389a9b317c0417

Aliases

arxiv: 2506.20044 · arxiv_version: 2506.20044v2 · doi: 10.48550/arxiv.2506.20044 · pith_short_12: 7AZW5IYZUGFC · pith_short_16: 7AZW5IYZUGFCNBBH · pith_short_8: 7AZW5IYZ

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/7AZW5IYZUGFCNBBH74SQ2X2N5E \
  | 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: f8336ea319a18a268427ff250d5f4de91588540149cf368655389a9b317c0417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbd77a519c8e417f9a3a4a64db2526f887ee386dbb0073d0b96856a187dafd3a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-24T22:50:43Z",
    "title_canon_sha256": "9d8cc8e50e9f3eb4cc9040efdbdb5cc84515e4892d9865ef03201489c45a5747"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20044",
    "kind": "arxiv",
    "version": 2
  }
}