Pith Number

pith:M3MIM7ZI

pith:2026:M3MIM7ZIKOTVNFX2K7K57EOOWQ

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Integrability of Conformal Killing Vectors in the Eisenhart Lift of Scalar-Field FLRW Cosmology

Takeshi Chiba, Tsuyoshi Houri

The potential found in prior work is the most general local one admitting a non-trivial conformal Killing vector independent of the cyclic Eisenhart coordinate in scalar-field FLRW cosmology.

arxiv:2604.22247 v3 · 2026-04-24 · gr-qc · hep-th

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\usepackage{pith}
\pithnumber{M3MIM7ZIKOTVNFX2K7K57EOOWQ}

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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

We show that the potential found in our earlier work is already the most general local potential that admits a non-trivial conformal Killing vector in the sector independent of the cyclic Eisenhart coordinate.

C2weakest assumption

The determinant condition of the prolonged conformal Killing equations reduces to a nonlinear second-order differential equation for h=V'/V whose local solutions classify all admissible potentials.

C3one line summary

The potential family from prior work is the most general local potential admitting non-trivial conformal Killing vectors in the Eisenhart lift of scalar-field flat FLRW cosmology.

Cited by

1 paper in Pith

Gauge vs (hidden) physical symmetries of FLRW cosmologies

Receipt and verification

First computed	2026-07-09T00:19:13.841235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d8867f2853a75696fa57d5df91ceb426fae91779cd75e822c18df2b7701af7

Aliases

arxiv: 2604.22247 · arxiv_version: 2604.22247v3 · doi: 10.48550/arxiv.2604.22247 · pith_short_12: M3MIM7ZIKOTV · pith_short_16: M3MIM7ZIKOTVNFX2 · pith_short_8: M3MIM7ZI

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/M3MIM7ZIKOTVNFX2K7K57EOOWQ \
  | 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: 66d8867f2853a75696fa57d5df91ceb426fae91779cd75e822c18df2b7701af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30ad3e7fb63a7b4c7ece85ca38f8295b1c40f43dacc68e29fe99d9ba741d7f03",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-04-24T05:42:37Z",
    "title_canon_sha256": "527ba468084597f608aa72ee3bea4376ebeb102b374a5ec1cf2e0100bef1757d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.22247",
    "kind": "arxiv",
    "version": 3
  }
}