Pith Number

pith:24BUT7PQ

pith:2026:24BUT7PQNKHFJH22WG5KSE45UI

not attested not anchored not stored refs pending

Hidden symmetry group for particle orbits (timelike geodesics) in Schwarzschild spacetime

Mahdieh Gol Bashmani Moghadam, Stephen C. Anco

Timelike geodesics in Schwarzschild spacetime admit a complete Noether symmetry group consisting of Killing symmetries plus three hidden transformations.

arxiv:2604.16644 v2 · 2026-04-17 · gr-qc · math-ph · math.MP

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\usepackage{pith}
\pithnumber{24BUT7PQNKHFJH22WG5KSE45UI}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

Together with the Killing symmetries, these transformations comprise the complete Noether symmetry group of the timelike equatorial geodesic equations.

C2weakest assumption

That the three recently identified conserved quantities (LRL angle, LRL Killing-vector time, LRL proper-time) arise directly from valid hidden symmetry transformations obtained by reversing Noether's theorem on the geodesic Lagrangian, without additional constraints or coordinate restrictions beyond equatorial motion.

C3one line summary

Hidden symmetries complete the Noether symmetry group for equatorial timelike geodesics in Schwarzschild spacetime.

Receipt and verification

First computed	2026-05-28T02:04:48.001998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70349fdf06a8e549f5ab1baa9139da22801c369c4e0a49433e44a6b3ee9c897

Aliases

arxiv: 2604.16644 · arxiv_version: 2604.16644v2 · doi: 10.48550/arxiv.2604.16644 · pith_short_12: 24BUT7PQNKHF · pith_short_16: 24BUT7PQNKHFJH22 · pith_short_8: 24BUT7PQ

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/24BUT7PQNKHFJH22WG5KSE45UI \
  | 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: d70349fdf06a8e549f5ab1baa9139da22801c369c4e0a49433e44a6b3ee9c897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1472251ff46f76eb9ee8d064e7e3c8e404457bc1fc6fe02280cfd1e2b44c7f2b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-04-17T19:02:26Z",
    "title_canon_sha256": "f8af577088de35ed499043e1179cd348b85e30f6664289d4a6f7897bd8ddfb1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.16644",
    "kind": "arxiv",
    "version": 2
  }
}