Pith Number

pith:I7UYUAVM

pith:2026:I7UYUAVMPS5HTGB3QJ2VK22M3F

not attested not anchored not stored refs resolved

Untwisting the double copy: the zeroth copy as an optical seed

Damien A. Easson, Michael J. Falato

A complex optical seed organizes stationary Kerr-Schild geometries and represents the zeroth copy in the double-copy framework.

arxiv:2604.05103 v1 · 2026-04-06 · hep-th · gr-qc

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Record completeness

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4 Citations open

5 Replications open

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Claims

C1strongest claim

In the overlap of the stationary Kerr-Schild and Petrov type-D Weyl double-copy framework, this seed furnishes a normalized representative of the zeroth-copy data, while its real part yields the Kerr-Schild profile and its gradient generates the single-copy gauge-field strength.

C2weakest assumption

The construction assumes that the spacetime is a stationary vacuum Kerr-Schild solution on a flat background and lies in the overlap region with the Petrov type-D Weyl double-copy framework; the abstract does not specify how restrictive this overlap is or whether the seed remains well-defined outside it.

C3one line summary

A single complex optical seed built from expansion and twist organizes stationary Kerr-Schild geometries, reconstructs the congruence, and encodes the zeroth-copy data that generates both the gravitational profile and the single-copy gauge field.

References

37 extracted · 37 resolved · 1 Pith anchors

[1] Since the optical equations are for the congruencekµ, they are insensitive to whether the scalar prefactor is stored inVor inl0. Rather than defining twist by a square root (and leaving a sign ambigui

[2] H. Kawai, D. C. Lewellen, and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings, Nucl. Phys. B269, 1 (1986) 1986

[3] New Relations for Gauge-Theory Amplitudes 2008 · arXiv:0805.3993

[4] Perturbative Quantum Gravity as a Double Copy of Gauge Theory 2010 · arXiv:1004.0476

[5] C. D. White, The double copy: gravity from gluons, Con- temp. Phys.59, 109 (2018), arXiv:1708.07056 [hep-th] 2018

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Birkhoff rigidity from a covariant optical seed

Receipt and verification

First computed	2026-05-26T01:03:29.519919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47e98a02ac7cba79983b8275556b4cd94c08975de2e61554651384782e9bc88e

Aliases

arxiv: 2604.05103 · arxiv_version: 2604.05103v1 · doi: 10.48550/arxiv.2604.05103 · pith_short_12: I7UYUAVMPS5H · pith_short_16: I7UYUAVMPS5HTGB3 · pith_short_8: I7UYUAVM

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/I7UYUAVMPS5HTGB3QJ2VK22M3F \
  | 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: 47e98a02ac7cba79983b8275556b4cd94c08975de2e61554651384782e9bc88e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75f94fc5c48da81152a7f2785878008e04acadc00354f5d797b1bed08c13f1d3",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-06T19:08:35Z",
    "title_canon_sha256": "e7c37c9612d6fbaf11fb65f8a86883abe03e12df1d9552cb17e28d6134d81af6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.05103",
    "kind": "arxiv",
    "version": 1
  }
}