Pith Number

pith:TK3B3RN2

pith:2026:TK3B3RN2M5CBEHGMXMQOCEVEUW

not attested not anchored not stored refs pending

Geometrically Regular Black Object Solutions in Lower-Dimensional Gauss-Bonnet Gravity and Its Unimodular Extension

C. R. Muniz, G. Alencar, T. M. Crispim

arxiv:2606.13635 v1 · 2026-06-11 · 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{TK3B3RN2M5CBEHGMXMQOCEVEUW}

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	2026-06-12T01:10:20.258247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ab61dc5ba6744121cccbb20e112a4a59d77c9a6085d627c723f1d05cdd3a201

Aliases

arxiv: 2606.13635 · arxiv_version: 2606.13635v1 · doi: 10.48550/arxiv.2606.13635 · pith_short_12: TK3B3RN2M5CB · pith_short_16: TK3B3RN2M5CBEHGM · pith_short_8: TK3B3RN2

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/TK3B3RN2M5CBEHGMXMQOCEVEUW \
  | 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: 9ab61dc5ba6744121cccbb20e112a4a59d77c9a6085d627c723f1d05cdd3a201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bb8d25532f1c2b7e9b0fa5bc6b45fe3a676bf494f92e595377afc491513d9d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-11T17:44:54Z",
    "title_canon_sha256": "4c96cf4eb1a881731cdc07e61a6a21eb0994d9a1250c2e1c4ace41378753cf58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13635",
    "kind": "arxiv",
    "version": 1
  }
}