{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ENJN3O2CX2OZRCGD5UUVYURFYJ","short_pith_number":"pith:ENJN3O2C","canonical_record":{"source":{"id":"2409.01197","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2024-09-02T12:12:29Z","cross_cats_sorted":["astro-ph.SR","quant-ph"],"title_canon_sha256":"f346f6d763c7a9e4a58c348dc725bd843f3251b0a826052f3313df9ea5e2fca8","abstract_canon_sha256":"74d79a7fe959f48908709bdf52ebf2a15dea87f8169b5ce8a1c406c7c9313429"},"schema_version":"1.0"},"canonical_sha256":"2352ddbb42be9d9888c3ed295c5225c26055bfb72cb27c9a310f73cbc57684c4","source":{"kind":"arxiv","id":"2409.01197","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.01197","created_at":"2026-07-05T09:20:02Z"},{"alias_kind":"arxiv_version","alias_value":"2409.01197v2","created_at":"2026-07-05T09:20:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.01197","created_at":"2026-07-05T09:20:02Z"},{"alias_kind":"pith_short_12","alias_value":"ENJN3O2CX2OZ","created_at":"2026-07-05T09:20:02Z"},{"alias_kind":"pith_short_16","alias_value":"ENJN3O2CX2OZRCGD","created_at":"2026-07-05T09:20:02Z"},{"alias_kind":"pith_short_8","alias_value":"ENJN3O2C","created_at":"2026-07-05T09:20:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ENJN3O2CX2OZRCGD5UUVYURFYJ","target":"record","payload":{"canonical_record":{"source":{"id":"2409.01197","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2024-09-02T12:12:29Z","cross_cats_sorted":["astro-ph.SR","quant-ph"],"title_canon_sha256":"f346f6d763c7a9e4a58c348dc725bd843f3251b0a826052f3313df9ea5e2fca8","abstract_canon_sha256":"74d79a7fe959f48908709bdf52ebf2a15dea87f8169b5ce8a1c406c7c9313429"},"schema_version":"1.0"},"canonical_sha256":"2352ddbb42be9d9888c3ed295c5225c26055bfb72cb27c9a310f73cbc57684c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:20:02.312940Z","signature_b64":"uZQXs6j3I7yoPqTQwnB5w7/rJeBKSpuCuKxGRDsbVUU0CGrPbHoG4avDTDNOzdI1tWUaT/LVotpuYbSTcnWfBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2352ddbb42be9d9888c3ed295c5225c26055bfb72cb27c9a310f73cbc57684c4","last_reissued_at":"2026-07-05T09:20:02.312405Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:20:02.312405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.01197","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:20:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cGXWhHCURTik8ZPF56EPzML7TKHNM4SHwL/D3coPEW8R1DGcEPOnzQFUAMxZ0T4WksEf+6S7IFKIeNhviUDeBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T17:33:48.198816Z"},"content_sha256":"799513a43d18f2c830cb0a2f98620283a6430cb5700edc18a9f046b84c69d231","schema_version":"1.0","event_id":"sha256:799513a43d18f2c830cb0a2f98620283a6430cb5700edc18a9f046b84c69d231"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ENJN3O2CX2OZRCGD5UUVYURFYJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A unifying polarization formalism for electric- and magnetic-multipole interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR","quant-ph"],"primary_cat":"physics.atom-ph","authors_text":"A. Lopez Ariste, N. Kaikati, R. Casini, R. Manso Sainz","submitted_at":"2024-09-02T12:12:29Z","abstract_excerpt":"We extend the spherical tensorial formalism for polarization to the treatment of electric- and magnetic-multipole transitions of any order. We rely on the spherical-wave expansion to derive the tensor form of the operator describing the interaction of the atomic system with a polarized radiation field, which naturally leads to the introduction of spherical tensors describing the polarization properties of the interacting field. As a direct application, the formalism is used to model the radiation anisotropy affecting the scattering of radiation in an electric-quadrupole transition, and the ass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.01197","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.01197/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:20:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qneikc+tuEktSyJ7YXE6vhrD09qKNMH74Nafm8VllaYpK+JDKgli8Ruwa9DNXZFvHYdlU5X8qIN6ztvoN3AWBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T17:33:48.199710Z"},"content_sha256":"1f48fcf734d5157d153106c8f8bde1bcf13e78d6308bd0e2c0561708c889f98b","schema_version":"1.0","event_id":"sha256:1f48fcf734d5157d153106c8f8bde1bcf13e78d6308bd0e2c0561708c889f98b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ENJN3O2CX2OZRCGD5UUVYURFYJ/bundle.json","state_url":"https://pith.science/pith/ENJN3O2CX2OZRCGD5UUVYURFYJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ENJN3O2CX2OZRCGD5UUVYURFYJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-18T17:33:48Z","links":{"resolver":"https://pith.science/pith/ENJN3O2CX2OZRCGD5UUVYURFYJ","bundle":"https://pith.science/pith/ENJN3O2CX2OZRCGD5UUVYURFYJ/bundle.json","state":"https://pith.science/pith/ENJN3O2CX2OZRCGD5UUVYURFYJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ENJN3O2CX2OZRCGD5UUVYURFYJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ENJN3O2CX2OZRCGD5UUVYURFYJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"74d79a7fe959f48908709bdf52ebf2a15dea87f8169b5ce8a1c406c7c9313429","cross_cats_sorted":["astro-ph.SR","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2024-09-02T12:12:29Z","title_canon_sha256":"f346f6d763c7a9e4a58c348dc725bd843f3251b0a826052f3313df9ea5e2fca8"},"schema_version":"1.0","source":{"id":"2409.01197","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.01197","created_at":"2026-07-05T09:20:02Z"},{"alias_kind":"arxiv_version","alias_value":"2409.01197v2","created_at":"2026-07-05T09:20:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.01197","created_at":"2026-07-05T09:20:02Z"},{"alias_kind":"pith_short_12","alias_value":"ENJN3O2CX2OZ","created_at":"2026-07-05T09:20:02Z"},{"alias_kind":"pith_short_16","alias_value":"ENJN3O2CX2OZRCGD","created_at":"2026-07-05T09:20:02Z"},{"alias_kind":"pith_short_8","alias_value":"ENJN3O2C","created_at":"2026-07-05T09:20:02Z"}],"graph_snapshots":[{"event_id":"sha256:1f48fcf734d5157d153106c8f8bde1bcf13e78d6308bd0e2c0561708c889f98b","target":"graph","created_at":"2026-07-05T09:20:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2409.01197/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend the spherical tensorial formalism for polarization to the treatment of electric- and magnetic-multipole transitions of any order. We rely on the spherical-wave expansion to derive the tensor form of the operator describing the interaction of the atomic system with a polarized radiation field, which naturally leads to the introduction of spherical tensors describing the polarization properties of the interacting field. As a direct application, the formalism is used to model the radiation anisotropy affecting the scattering of radiation in an electric-quadrupole transition, and the ass","authors_text":"A. Lopez Ariste, N. Kaikati, R. Casini, R. Manso Sainz","cross_cats":["astro-ph.SR","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2024-09-02T12:12:29Z","title":"A unifying polarization formalism for electric- and magnetic-multipole interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.01197","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:799513a43d18f2c830cb0a2f98620283a6430cb5700edc18a9f046b84c69d231","target":"record","created_at":"2026-07-05T09:20:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"74d79a7fe959f48908709bdf52ebf2a15dea87f8169b5ce8a1c406c7c9313429","cross_cats_sorted":["astro-ph.SR","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2024-09-02T12:12:29Z","title_canon_sha256":"f346f6d763c7a9e4a58c348dc725bd843f3251b0a826052f3313df9ea5e2fca8"},"schema_version":"1.0","source":{"id":"2409.01197","kind":"arxiv","version":2}},"canonical_sha256":"2352ddbb42be9d9888c3ed295c5225c26055bfb72cb27c9a310f73cbc57684c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2352ddbb42be9d9888c3ed295c5225c26055bfb72cb27c9a310f73cbc57684c4","first_computed_at":"2026-07-05T09:20:02.312405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:20:02.312405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uZQXs6j3I7yoPqTQwnB5w7/rJeBKSpuCuKxGRDsbVUU0CGrPbHoG4avDTDNOzdI1tWUaT/LVotpuYbSTcnWfBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:20:02.312940Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.01197","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:799513a43d18f2c830cb0a2f98620283a6430cb5700edc18a9f046b84c69d231","sha256:1f48fcf734d5157d153106c8f8bde1bcf13e78d6308bd0e2c0561708c889f98b"],"state_sha256":"4ae727e5637e3727a9b72c2710c8231f3c243cd01649c5fccf0703db1bce7308"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5jaFO+4CoYrAk+sWIkgFcqEyYr/+490mrXL7faGOb0G/RxpbMjBjn53gug1nIPmjGq3f1Fa0LsOLSZf5H8TQCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T17:33:48.206016Z","bundle_sha256":"1c40025bbf6fdf73566402d4c44a5294d115ffd163ce4d221b322d5404a2334a"}}