Pith Number

pith:U4QTW5FZ

pith:2026:U4QTW5FZDWD7BZTSPK5KXVQXHQ

not attested not anchored not stored refs pending

Local Origin of Hidden Symmetry in Rotating Spacetimes

Hyeong-Chan Kim

The kinematical core of Kerr geometry is fixed locally by the Einstein equations.

arxiv:2603.08408 v3 · 2026-03-09 · gr-qc · astro-ph.HE · hep-th

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\usepackage{pith}
\pithnumber{U4QTW5FZDWD7BZTSPK5KXVQXHQ}

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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.

Claims

C1strongest claim

the kinematical core of Kerr geometry is already fixed locally, and the Schwarzian structure provides the local origin of Kerr rigidity.

C2weakest assumption

the minimal local equilibrium condition of absent mixed energy-momentum fluxes together with the choice of a locally non-rotating orthonormal frame; the paper states this is imposed without assuming separability, algebraic speciality, or Killing-Yano symmetry.

C3one line summary

The mixed Einstein equations in stationary-axisymmetric geometries with absent mixed fluxes enforce a constant-Schwarzian constraint whose global-regularity branch is precisely the Kerr sector.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-23T02:13:59.118512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7213b74b91d87f0e6727abaabd6173c0931ce4e8987ef30058ab88150e3d8b7

Aliases

arxiv: 2603.08408 · arxiv_version: 2603.08408v3 · doi: 10.48550/arxiv.2603.08408 · pith_short_12: U4QTW5FZDWD7 · pith_short_16: U4QTW5FZDWD7BZTS · pith_short_8: U4QTW5FZ

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/U4QTW5FZDWD7BZTSPK5KXVQXHQ \
  | 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: a7213b74b91d87f0e6727abaabd6173c0931ce4e8987ef30058ab88150e3d8b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6be52b5b68323c0fcf4350109e7f81f2a249c8f2b37362c1005ab18ecad1b92",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-09T14:04:28Z",
    "title_canon_sha256": "fb9a32f9d701b1c0600f4a42d733c0e11666420af4f796e5ef04e16d79c0f6ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.08408",
    "kind": "arxiv",
    "version": 3
  }
}