Pith Number

pith:R3KGRBHW

pith:2026:R3KGRBHWFVTH5AKXYQLTAAJ5AM

not attested not anchored not stored refs pending

Nonrotating and rotating black holes with secondary disformal hair in a ghost-free metric-affine parity-violating scalar-torsion theory

A. Yu. Petrov, E. Brito, G. Macedo, J. R. Nascimento, P. J. Porf\'irio

arxiv:2606.24041 v1 · 2026-06-23 · 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{R3KGRBHWFVTH5AKXYQLTAAJ5AM}

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	2026-06-24T01:14:38.853946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ed46884f62d667e8157c41730013d0334f41d32999f284a677f22fa38fcc952

Aliases

arxiv: 2606.24041 · arxiv_version: 2606.24041v1 · doi: 10.48550/arxiv.2606.24041 · pith_short_12: R3KGRBHWFVTH · pith_short_16: R3KGRBHWFVTH5AKX · pith_short_8: R3KGRBHW

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/R3KGRBHWFVTH5AKXYQLTAAJ5AM \
  | 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: 8ed46884f62d667e8157c41730013d0334f41d32999f284a677f22fa38fcc952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7fdfb4c362e864dca2ff2ea246c34f1aee474262ca6ba332acea5b718fd3dd5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-23T00:56:10Z",
    "title_canon_sha256": "502a374f46fc108bc6de60e9268126837f904622c70ede4c229a427b55796682"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24041",
    "kind": "arxiv",
    "version": 1
  }
}