{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:6RCY6NYQBRSTUHPBUZYBUETS23","short_pith_number":"pith:6RCY6NYQ","canonical_record":{"source":{"id":"2603.17688","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-03-18T13:03:23Z","cross_cats_sorted":[],"title_canon_sha256":"02e551185f507ed67e04a0022a44c1cc40358a9cb3866fe7b52d4358a29fdea0","abstract_canon_sha256":"f9293589f91b3c09a749c157161f79940aa4d76cf09d181f0f5275e310bc1293"},"schema_version":"1.0"},"canonical_sha256":"f4458f37100c653a1de1a6701a1272d6ec0d0f139d0d5b94245e5060c5bf4066","source":{"kind":"arxiv","id":"2603.17688","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.17688","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"arxiv_version","alias_value":"2603.17688v2","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.17688","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"pith_short_12","alias_value":"6RCY6NYQBRST","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"pith_short_16","alias_value":"6RCY6NYQBRSTUHPB","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"pith_short_8","alias_value":"6RCY6NYQ","created_at":"2026-05-26T01:03:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:6RCY6NYQBRSTUHPBUZYBUETS23","target":"record","payload":{"canonical_record":{"source":{"id":"2603.17688","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-03-18T13:03:23Z","cross_cats_sorted":[],"title_canon_sha256":"02e551185f507ed67e04a0022a44c1cc40358a9cb3866fe7b52d4358a29fdea0","abstract_canon_sha256":"f9293589f91b3c09a749c157161f79940aa4d76cf09d181f0f5275e310bc1293"},"schema_version":"1.0"},"canonical_sha256":"f4458f37100c653a1de1a6701a1272d6ec0d0f139d0d5b94245e5060c5bf4066","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T01:03:28.124776Z","signature_b64":"QXIWVGEDzoS3bPbU4IHjklQKsnlfrBT7Nl21rhzrN/oa0TNWKKYGkeOfYIKFhdj0M1pl6EjYw9dzA8C/zS7aDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4458f37100c653a1de1a6701a1272d6ec0d0f139d0d5b94245e5060c5bf4066","last_reissued_at":"2026-05-26T01:03:28.124028Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T01:03:28.124028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.17688","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":"2026-05-26T01:03:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ubqewK+mS1uLRD8HrTidUY9JJJ7P7wuVK0vMc0vJgwewuxCOB6I64+cImkUN6ZrMpcQ4q58bUePlN/9HEmTaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T03:07:49.789621Z"},"content_sha256":"1e906c4d03b3530865622af6da5ebc037669dfeae3fa374f8bbee972d09b174a","schema_version":"1.0","event_id":"sha256:1e906c4d03b3530865622af6da5ebc037669dfeae3fa374f8bbee972d09b174a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:6RCY6NYQBRSTUHPBUZYBUETS23","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wake-Tail Effects in Two-Dimensional Wave Refocusing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Theodoros T. Koutserimpas","submitted_at":"2026-03-18T13:03:23Z","abstract_excerpt":"In even spatial dimensions, solutions of the wave equation violate Huygens' principle, producing a persistent wake tail inside the light cone rather than a sharply localized propagating front. This intrinsic tail complicates refocusing. Here, we examine how the wake-tail structure of the two-dimensional wave equation affects refocusing, using the analytically tractable example of a pulse generated by a source localized in both space and time. Two idealized concentration strategies are considered. A spatial mirror reflects the outgoing pulse and produces refocusing, but the redirected signal is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.17688","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/2603.17688/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":"2026-05-26T01:03:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VHh5Mf19LEG98toVo5AVhY/swqn6YVgvTlTcbR9carlMFrwrOesbghn/jUckHdt2jU6buwBcwmTEEcJDEGnYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T03:07:49.790162Z"},"content_sha256":"515bbf31d14e01b348e36726e5659d4c656dd4e4bce122369cb0fa040af9bcc1","schema_version":"1.0","event_id":"sha256:515bbf31d14e01b348e36726e5659d4c656dd4e4bce122369cb0fa040af9bcc1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6RCY6NYQBRSTUHPBUZYBUETS23/bundle.json","state_url":"https://pith.science/pith/6RCY6NYQBRSTUHPBUZYBUETS23/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6RCY6NYQBRSTUHPBUZYBUETS23/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":"2026-08-21T03:07:49Z","links":{"resolver":"https://pith.science/pith/6RCY6NYQBRSTUHPBUZYBUETS23","bundle":"https://pith.science/pith/6RCY6NYQBRSTUHPBUZYBUETS23/bundle.json","state":"https://pith.science/pith/6RCY6NYQBRSTUHPBUZYBUETS23/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6RCY6NYQBRSTUHPBUZYBUETS23/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6RCY6NYQBRSTUHPBUZYBUETS23","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":"f9293589f91b3c09a749c157161f79940aa4d76cf09d181f0f5275e310bc1293","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-03-18T13:03:23Z","title_canon_sha256":"02e551185f507ed67e04a0022a44c1cc40358a9cb3866fe7b52d4358a29fdea0"},"schema_version":"1.0","source":{"id":"2603.17688","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.17688","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"arxiv_version","alias_value":"2603.17688v2","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.17688","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"pith_short_12","alias_value":"6RCY6NYQBRST","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"pith_short_16","alias_value":"6RCY6NYQBRSTUHPB","created_at":"2026-05-26T01:03:28Z"},{"alias_kind":"pith_short_8","alias_value":"6RCY6NYQ","created_at":"2026-05-26T01:03:28Z"}],"graph_snapshots":[{"event_id":"sha256:515bbf31d14e01b348e36726e5659d4c656dd4e4bce122369cb0fa040af9bcc1","target":"graph","created_at":"2026-05-26T01:03:28Z","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/2603.17688/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In even spatial dimensions, solutions of the wave equation violate Huygens' principle, producing a persistent wake tail inside the light cone rather than a sharply localized propagating front. This intrinsic tail complicates refocusing. Here, we examine how the wake-tail structure of the two-dimensional wave equation affects refocusing, using the analytically tractable example of a pulse generated by a source localized in both space and time. Two idealized concentration strategies are considered. A spatial mirror reflects the outgoing pulse and produces refocusing, but the redirected signal is","authors_text":"Theodoros T. Koutserimpas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-03-18T13:03:23Z","title":"Wake-Tail Effects in Two-Dimensional Wave Refocusing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.17688","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":"sha256:1e906c4d03b3530865622af6da5ebc037669dfeae3fa374f8bbee972d09b174a","target":"record","created_at":"2026-05-26T01:03:28Z","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":"f9293589f91b3c09a749c157161f79940aa4d76cf09d181f0f5275e310bc1293","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2026-03-18T13:03:23Z","title_canon_sha256":"02e551185f507ed67e04a0022a44c1cc40358a9cb3866fe7b52d4358a29fdea0"},"schema_version":"1.0","source":{"id":"2603.17688","kind":"arxiv","version":2}},"canonical_sha256":"f4458f37100c653a1de1a6701a1272d6ec0d0f139d0d5b94245e5060c5bf4066","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4458f37100c653a1de1a6701a1272d6ec0d0f139d0d5b94245e5060c5bf4066","first_computed_at":"2026-05-26T01:03:28.124028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-26T01:03:28.124028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QXIWVGEDzoS3bPbU4IHjklQKsnlfrBT7Nl21rhzrN/oa0TNWKKYGkeOfYIKFhdj0M1pl6EjYw9dzA8C/zS7aDA==","signature_status":"signed_v1","signed_at":"2026-05-26T01:03:28.124776Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.17688","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e906c4d03b3530865622af6da5ebc037669dfeae3fa374f8bbee972d09b174a","sha256:515bbf31d14e01b348e36726e5659d4c656dd4e4bce122369cb0fa040af9bcc1"],"state_sha256":"2dbc621efaaf9090d1fb8971819cd4f73a318e7764de3ba3307c8ab7b181ab34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AqcwzU9QHopXN57DGUHvVEGT9HyGtyRUNC6WLS+wK/GM3q31cTaqkX6Mnu2mZSrdiZkaXpjTCW5lIulovco7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T03:07:49.793894Z","bundle_sha256":"77fee401f465a60d361ec75b6f733cc3ed8a71b4a0a9c772597ed2fa18d4e6fe"}}