{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:EKKR7PIJULI4A2N4FAIZ2LVTYT","short_pith_number":"pith:EKKR7PIJ","canonical_record":{"source":{"id":"1303.6320","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-25T21:46:48Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"title_canon_sha256":"e109f3695c61f4a1fe21e64fd2b3aff3869792a3af98d2030a32ab108db4103e","abstract_canon_sha256":"2eb3df6315c69de64df8b49897413661115a4f7b8c16b807ebe2df3968c5e950"},"schema_version":"1.0"},"canonical_sha256":"22951fbd09a2d1c069bc28119d2eb3c4dd1061bf25001527fa230ad84ab59047","source":{"kind":"arxiv","id":"1303.6320","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6320","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6320v1","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6320","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"pith_short_12","alias_value":"EKKR7PIJULI4","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EKKR7PIJULI4A2N4","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EKKR7PIJ","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:EKKR7PIJULI4A2N4FAIZ2LVTYT","target":"record","payload":{"canonical_record":{"source":{"id":"1303.6320","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-25T21:46:48Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"title_canon_sha256":"e109f3695c61f4a1fe21e64fd2b3aff3869792a3af98d2030a32ab108db4103e","abstract_canon_sha256":"2eb3df6315c69de64df8b49897413661115a4f7b8c16b807ebe2df3968c5e950"},"schema_version":"1.0"},"canonical_sha256":"22951fbd09a2d1c069bc28119d2eb3c4dd1061bf25001527fa230ad84ab59047","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:08.771517Z","signature_b64":"tITQLYi6dH+K960QPxAui72F8grqYoAkP26ATtFcnTG0R7iwpnOj2s+XAf0/W5jhwDULtWdqbXZF15DqBeSwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22951fbd09a2d1c069bc28119d2eb3c4dd1061bf25001527fa230ad84ab59047","last_reissued_at":"2026-05-18T02:59:08.771010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:08.771010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.6320","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:59:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PTRLw/tnKl75ZJC6M+djU/FeWIGIu5YPBa3YhH4MNEdCb5Z6yT7VIdoyDMnfFkGiS3LJUvqhHd3nlyg7rfAmDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:45:19.432883Z"},"content_sha256":"e95d1f74d19346bb8baab213bb3d0f5ef24ffd5bb7d208433c4fac83280fbcd8","schema_version":"1.0","event_id":"sha256:e95d1f74d19346bb8baab213bb3d0f5ef24ffd5bb7d208433c4fac83280fbcd8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:EKKR7PIJULI4A2N4FAIZ2LVTYT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-dimensional Accelerating Electromagnetic Waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"Ido Kaminer, Miguel A. Alonso, Miguel A. Bandres, Mordechai Segev","submitted_at":"2013-03-25T21:46:48Z","abstract_excerpt":"We present a general theory of three-dimensional nonparaxial spatially-accelerating waves of the Maxwell equations. These waves constitute a two-dimensional structure exhibiting shape-invariant propagation along semicircular trajectories. We provide classification and characterization of possible shapes of such beams, expressed through the angular spectra of parabolic, oblate and prolate spheroidal fields. Our results facilitate the design of accelerating beams with novel structures, broadening scope and potential applications of accelerating beams."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6320","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T02:59:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YE/3EqxB/v9qcIOf7ZdEejoyqMpVKbG6CL8CpmLdgBKMQJecfSr2QYbRT+6WoUy7mTeN98Dye1sc8A7Jhp8dDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:45:19.433307Z"},"content_sha256":"262dcc79ce718152800c60990533ce24a3ebd116e7bd38acdf9881665b37d21c","schema_version":"1.0","event_id":"sha256:262dcc79ce718152800c60990533ce24a3ebd116e7bd38acdf9881665b37d21c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EKKR7PIJULI4A2N4FAIZ2LVTYT/bundle.json","state_url":"https://pith.science/pith/EKKR7PIJULI4A2N4FAIZ2LVTYT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EKKR7PIJULI4A2N4FAIZ2LVTYT/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":"2026-05-27T22:45:19Z","links":{"resolver":"https://pith.science/pith/EKKR7PIJULI4A2N4FAIZ2LVTYT","bundle":"https://pith.science/pith/EKKR7PIJULI4A2N4FAIZ2LVTYT/bundle.json","state":"https://pith.science/pith/EKKR7PIJULI4A2N4FAIZ2LVTYT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EKKR7PIJULI4A2N4FAIZ2LVTYT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:EKKR7PIJULI4A2N4FAIZ2LVTYT","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":"2eb3df6315c69de64df8b49897413661115a4f7b8c16b807ebe2df3968c5e950","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-25T21:46:48Z","title_canon_sha256":"e109f3695c61f4a1fe21e64fd2b3aff3869792a3af98d2030a32ab108db4103e"},"schema_version":"1.0","source":{"id":"1303.6320","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6320","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6320v1","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6320","created_at":"2026-05-18T02:59:08Z"},{"alias_kind":"pith_short_12","alias_value":"EKKR7PIJULI4","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"EKKR7PIJULI4A2N4","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"EKKR7PIJ","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:262dcc79ce718152800c60990533ce24a3ebd116e7bd38acdf9881665b37d21c","target":"graph","created_at":"2026-05-18T02:59:08Z","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"},"paper":{"abstract_excerpt":"We present a general theory of three-dimensional nonparaxial spatially-accelerating waves of the Maxwell equations. These waves constitute a two-dimensional structure exhibiting shape-invariant propagation along semicircular trajectories. We provide classification and characterization of possible shapes of such beams, expressed through the angular spectra of parabolic, oblate and prolate spheroidal fields. Our results facilitate the design of accelerating beams with novel structures, broadening scope and potential applications of accelerating beams.","authors_text":"Ido Kaminer, Miguel A. Alonso, Miguel A. Bandres, Mordechai Segev","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-25T21:46:48Z","title":"Three-dimensional Accelerating Electromagnetic Waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6320","kind":"arxiv","version":1},"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:e95d1f74d19346bb8baab213bb3d0f5ef24ffd5bb7d208433c4fac83280fbcd8","target":"record","created_at":"2026-05-18T02:59:08Z","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":"2eb3df6315c69de64df8b49897413661115a4f7b8c16b807ebe2df3968c5e950","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2013-03-25T21:46:48Z","title_canon_sha256":"e109f3695c61f4a1fe21e64fd2b3aff3869792a3af98d2030a32ab108db4103e"},"schema_version":"1.0","source":{"id":"1303.6320","kind":"arxiv","version":1}},"canonical_sha256":"22951fbd09a2d1c069bc28119d2eb3c4dd1061bf25001527fa230ad84ab59047","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22951fbd09a2d1c069bc28119d2eb3c4dd1061bf25001527fa230ad84ab59047","first_computed_at":"2026-05-18T02:59:08.771010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:08.771010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tITQLYi6dH+K960QPxAui72F8grqYoAkP26ATtFcnTG0R7iwpnOj2s+XAf0/W5jhwDULtWdqbXZF15DqBeSwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:08.771517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6320","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e95d1f74d19346bb8baab213bb3d0f5ef24ffd5bb7d208433c4fac83280fbcd8","sha256:262dcc79ce718152800c60990533ce24a3ebd116e7bd38acdf9881665b37d21c"],"state_sha256":"8e6fae45d81c50bc48cb29519451caf06341e176ea492e592cbbf8c6809d5ec5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cMDI0P83S6KdGwCMCtoUdtWcRwKHD/78CO36qF7/C6o0soUqx8AOM2qql6ievJDHb1Qb9Kyr7MAyTumv+efgBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:45:19.436684Z","bundle_sha256":"b148f083347fc56c694ca2d8d72c7fd0cc714a6d6a5ba7ecdca7c00b5a1ef8aa"}}