Pith Number

pith:CCPMNAG7

pith:2026:CCPMNAG7OFPA235TVRTDEUNLVQ

not attested not anchored not stored refs resolved

Circular polarization of the cosmic microwave background induced by the optical Magnus effect on gravitational lensing

Yusuke Nishida

Incorporating the optical Magnus effect into gravitational lensing induces circular polarization in the CMB from temperature fluctuations.

arxiv:2605.16945 v1 · 2026-05-16 · astro-ph.CO · gr-qc · hep-ph

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\usepackage{pith}
\pithnumber{CCPMNAG7OFPA235TVRTDEUNLVQ}

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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

✓ 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

Circular polarization is induced in principle from CMB temperature fluctuations when the optical Magnus effect is incorporated into gravitational lensing, because right-handed and left-handed components at the same observation point are sourced from different points of the surface of last scattering.

C2weakest assumption

The optical Magnus effect produces a helicity-dependent transverse shift for CMB photons propagating through gravitational potentials in the same manner as for light in dielectric media; this assumption is invoked when mapping the shift to different last-scattering points (abstract and implied derivation).

C3one line summary

Circular polarization of the CMB is generated by the helicity-dependent transverse shift of photon trajectories under the optical Magnus effect during gravitational lensing.

References

47 extracted · 47 resolved · 2 Pith anchors

[1] Planck 2018 results I. Overview and the cosmological legacy of Planck, 2018

[2] A CMB polarization primer, 1997

[3] Theory of Cosmic Microwave Background Polarization 2003 · arXiv:astro-ph/0403392

[4] The cosmic mi- crowave background and particle physics, 1999

[5] The cosmic microwave background for pedestrians: A review for par- ticle and nuclear physicists, 2007

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-20T00:03:32.179844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109ec680df715e0d6fb3ac663251abac3d2a0dffd8e4465c6d71293deb3489cb

Aliases

arxiv: 2605.16945 · arxiv_version: 2605.16945v1 · doi: 10.48550/arxiv.2605.16945 · pith_short_12: CCPMNAG7OFPA · pith_short_16: CCPMNAG7OFPA235T · pith_short_8: CCPMNAG7

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/CCPMNAG7OFPA235TVRTDEUNLVQ \
  | 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: 109ec680df715e0d6fb3ac663251abac3d2a0dffd8e4465c6d71293deb3489cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "932b1867d5d7d7ffb6ef24b43e45e9d1c5bce978fb4ec25428d3afff9c0d0290",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-16T11:50:38Z",
    "title_canon_sha256": "7c8c3e70ada0b1c266414c3cb46150ad6b0a266e69feafc6fc3d6af65b52e031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16945",
    "kind": "arxiv",
    "version": 1
  }
}