{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MQ7L2PUESXMQXJ6PZ5UNM6WFMZ","short_pith_number":"pith:MQ7L2PUE","canonical_record":{"source":{"id":"1210.6302","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-23T17:29:25Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP","physics.class-ph"],"title_canon_sha256":"ba7533686be8aa486d1614a15b01fc3c4cff465a42cc145a4c995c73b4017888","abstract_canon_sha256":"c4bb59354f01a408ea3a0ebb5ac404eccb07e11958120f5cd8cce2755a24cc85"},"schema_version":"1.0"},"canonical_sha256":"643ebd3e8495d90ba7cfcf68d67ac5664f7417d790c45a787725b99141c1dd46","source":{"kind":"arxiv","id":"1210.6302","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6302","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6302v1","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6302","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"pith_short_12","alias_value":"MQ7L2PUESXMQ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MQ7L2PUESXMQXJ6P","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MQ7L2PUE","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MQ7L2PUESXMQXJ6PZ5UNM6WFMZ","target":"record","payload":{"canonical_record":{"source":{"id":"1210.6302","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-23T17:29:25Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP","physics.class-ph"],"title_canon_sha256":"ba7533686be8aa486d1614a15b01fc3c4cff465a42cc145a4c995c73b4017888","abstract_canon_sha256":"c4bb59354f01a408ea3a0ebb5ac404eccb07e11958120f5cd8cce2755a24cc85"},"schema_version":"1.0"},"canonical_sha256":"643ebd3e8495d90ba7cfcf68d67ac5664f7417d790c45a787725b99141c1dd46","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:12.132621Z","signature_b64":"z62VwBfSNSxklZUUptCpbc4TdUD5PwfCNIOXnHj4Eh8rKt+1zMrZ8kmN3X0FF4TWaDWfcTXSNkWitn44vhoyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"643ebd3e8495d90ba7cfcf68d67ac5664f7417d790c45a787725b99141c1dd46","last_reissued_at":"2026-05-18T03:41:12.132043Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:12.132043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.6302","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":"2026-05-18T03:41:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f3QbN5cDen8/r9YgKT8dGm93vLz/93teh8rFEZ7uw+iYTawdQZS3EjLDXjUl4ojbWIXn+mRw/lKREKS80QTUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:23:08.319044Z"},"content_sha256":"531b09c65110ad55f4960a3ee35cf0a0d29e6e603ae38491fd03c97d561532ca","schema_version":"1.0","event_id":"sha256:531b09c65110ad55f4960a3ee35cf0a0d29e6e603ae38491fd03c97d561532ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MQ7L2PUESXMQXJ6PZ5UNM6WFMZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonparaxial Mathieu and Weber accelerating beams","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","math-ph","math.MP","physics.class-ph"],"primary_cat":"physics.optics","authors_text":"Drake Cannan, Peng Zhang, Roberto Morandotti, Tongcang Li, Xiang Zhang, Xiaobo Yin, Yi Hu, Zhigang Chen","submitted_at":"2012-10-23T17:29:25Z","abstract_excerpt":"We demonstrate both theoretically and experimentally nonparaxial Mathieu and Weber accelerating beams, generalizing the concept of previously found accelerating beams. We show that such beams bend into large angles along circular, elliptical or parabolic trajectories but still retain nondiffracting and self-healing capabilities. The circular nonparaxial accelerating beams can be considered as a special case of the Mathieu accelerating beams, while an Airy beam is only a special case of the Weber beams at the paraxial limit. Not only generalized nonparaxial accelerating beams open up many possi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6302","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":"2026-05-18T03:41:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NkNHvBOavFz+gBrNHQPJRyHxh0td4xMGqzswJzlMcdOJ5fBBbEKRjlaClPpTUqnKszHzY5wAnRAWSZNp0JoDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T13:23:08.319752Z"},"content_sha256":"0b32b6c89a9f10e99865d80d402048a3db26d56bb8c4103248fc03105c4e736f","schema_version":"1.0","event_id":"sha256:0b32b6c89a9f10e99865d80d402048a3db26d56bb8c4103248fc03105c4e736f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MQ7L2PUESXMQXJ6PZ5UNM6WFMZ/bundle.json","state_url":"https://pith.science/pith/MQ7L2PUESXMQXJ6PZ5UNM6WFMZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MQ7L2PUESXMQXJ6PZ5UNM6WFMZ/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":"2026-05-25T13:23:08Z","links":{"resolver":"https://pith.science/pith/MQ7L2PUESXMQXJ6PZ5UNM6WFMZ","bundle":"https://pith.science/pith/MQ7L2PUESXMQXJ6PZ5UNM6WFMZ/bundle.json","state":"https://pith.science/pith/MQ7L2PUESXMQXJ6PZ5UNM6WFMZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MQ7L2PUESXMQXJ6PZ5UNM6WFMZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MQ7L2PUESXMQXJ6PZ5UNM6WFMZ","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":"c4bb59354f01a408ea3a0ebb5ac404eccb07e11958120f5cd8cce2755a24cc85","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP","physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-23T17:29:25Z","title_canon_sha256":"ba7533686be8aa486d1614a15b01fc3c4cff465a42cc145a4c995c73b4017888"},"schema_version":"1.0","source":{"id":"1210.6302","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.6302","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"arxiv_version","alias_value":"1210.6302v1","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.6302","created_at":"2026-05-18T03:41:12Z"},{"alias_kind":"pith_short_12","alias_value":"MQ7L2PUESXMQ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MQ7L2PUESXMQXJ6P","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MQ7L2PUE","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:0b32b6c89a9f10e99865d80d402048a3db26d56bb8c4103248fc03105c4e736f","target":"graph","created_at":"2026-05-18T03:41:12Z","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 demonstrate both theoretically and experimentally nonparaxial Mathieu and Weber accelerating beams, generalizing the concept of previously found accelerating beams. We show that such beams bend into large angles along circular, elliptical or parabolic trajectories but still retain nondiffracting and self-healing capabilities. The circular nonparaxial accelerating beams can be considered as a special case of the Mathieu accelerating beams, while an Airy beam is only a special case of the Weber beams at the paraxial limit. Not only generalized nonparaxial accelerating beams open up many possi","authors_text":"Drake Cannan, Peng Zhang, Roberto Morandotti, Tongcang Li, Xiang Zhang, Xiaobo Yin, Yi Hu, Zhigang Chen","cross_cats":["cond-mat.mes-hall","math-ph","math.MP","physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-23T17:29:25Z","title":"Nonparaxial Mathieu and Weber accelerating beams"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6302","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":"sha256:531b09c65110ad55f4960a3ee35cf0a0d29e6e603ae38491fd03c97d561532ca","target":"record","created_at":"2026-05-18T03:41:12Z","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":"c4bb59354f01a408ea3a0ebb5ac404eccb07e11958120f5cd8cce2755a24cc85","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP","physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2012-10-23T17:29:25Z","title_canon_sha256":"ba7533686be8aa486d1614a15b01fc3c4cff465a42cc145a4c995c73b4017888"},"schema_version":"1.0","source":{"id":"1210.6302","kind":"arxiv","version":1}},"canonical_sha256":"643ebd3e8495d90ba7cfcf68d67ac5664f7417d790c45a787725b99141c1dd46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"643ebd3e8495d90ba7cfcf68d67ac5664f7417d790c45a787725b99141c1dd46","first_computed_at":"2026-05-18T03:41:12.132043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:12.132043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z62VwBfSNSxklZUUptCpbc4TdUD5PwfCNIOXnHj4Eh8rKt+1zMrZ8kmN3X0FF4TWaDWfcTXSNkWitn44vhoyCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:12.132621Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.6302","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:531b09c65110ad55f4960a3ee35cf0a0d29e6e603ae38491fd03c97d561532ca","sha256:0b32b6c89a9f10e99865d80d402048a3db26d56bb8c4103248fc03105c4e736f"],"state_sha256":"4b4932187dde9fe805c0a513160cb9eafdbdc44f68473b68467abb4266584076"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LXosq8w8arwS8WTtcD/QO7Y1obU1YFFuY79r8I30NRaqCHEKFWvcWLa0ZyB0YHhcMabCJ8+CtsQ9q1gMzuLOCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T13:23:08.323460Z","bundle_sha256":"7ece79cbccad39f46dd3977a37739485626af4a14fe9ef5c7fe637337b08a2e1"}}