{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QUFDM54AQGJR43L5FZ2RUPIJDZ","short_pith_number":"pith:QUFDM54A","canonical_record":{"source":{"id":"1806.05546","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2018-06-13T13:09:20Z","cross_cats_sorted":["math.NA","math.OC"],"title_canon_sha256":"47129acb7a0acf15e17731a4f8f0ede202bc9a2d69024c3765d5dcb7d4f9b75e","abstract_canon_sha256":"89d9ca16fe05626c3d80ed867a133d6794046d01b9c97e4e7c78bc606a3a376d"},"schema_version":"1.0"},"canonical_sha256":"850a36778081931e6d7d2e751a3d091e6423d13c70d4a5c307fb222a756976cf","source":{"kind":"arxiv","id":"1806.05546","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.05546","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1806.05546v1","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.05546","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"QUFDM54AQGJR","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QUFDM54AQGJR43L5","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QUFDM54A","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QUFDM54AQGJR43L5FZ2RUPIJDZ","target":"record","payload":{"canonical_record":{"source":{"id":"1806.05546","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2018-06-13T13:09:20Z","cross_cats_sorted":["math.NA","math.OC"],"title_canon_sha256":"47129acb7a0acf15e17731a4f8f0ede202bc9a2d69024c3765d5dcb7d4f9b75e","abstract_canon_sha256":"89d9ca16fe05626c3d80ed867a133d6794046d01b9c97e4e7c78bc606a3a376d"},"schema_version":"1.0"},"canonical_sha256":"850a36778081931e6d7d2e751a3d091e6423d13c70d4a5c307fb222a756976cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:08.517092Z","signature_b64":"I0WoiULmF7ZUj8HdGLt0GlRYtYbMtB8sz0q5Wld/VZOnWzJt+vz8O1IytJwDRjokMBp6AqdDlU5E5wMTUX9YDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"850a36778081931e6d7d2e751a3d091e6423d13c70d4a5c307fb222a756976cf","last_reissued_at":"2026-05-18T00:12:08.516576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:08.516576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.05546","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":"2026-05-18T00:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vIVGmLEPDC6TAGj2IEDwkh4nhpq4rgvYhLKQfsihlQ5QUamdo5Z6/REIAXyFuxMEKe7MdCB5/Q3vdbUzdaSFCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:52:25.702241Z"},"content_sha256":"08673bc9b292d516ccd4908301bf4bd45774926a9d9ec697e1f942d347187791","schema_version":"1.0","event_id":"sha256:08673bc9b292d516ccd4908301bf4bd45774926a9d9ec697e1f942d347187791"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QUFDM54AQGJR43L5FZ2RUPIJDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Accelerated Wirtinger Flow: A fast algorithm for ptychography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA","math.OC"],"primary_cat":"eess.IV","authors_text":"Anthony F. J. Levi, Joshua Zusman, Justin P. Haldar, Mahdi Soltanolkotabi, Richard M. Leahy, Rui Xu, Walter Unglaub","submitted_at":"2018-06-13T13:09:20Z","abstract_excerpt":"This paper presents a new algorithm, Accelerated Wirtinger Flow (AWF), for ptychographic image reconstruction from phaseless diffraction pattern measurements. AWF is based on combining Nesterov's acceleration approach with Wirtinger gradient descent. Theoretical results enable prespecification of all AWF algorithm parameters, with no need for computationally-expensive line searches and no need for manual parameter tuning. AWF is evaluated in the context of simulated X-ray ptychography, where we demonstrate fast convergence and low per-iteration computational complexity. We also show examples w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.05546","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":"2026-05-18T00:12:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1iWB1WETzXYwjxC2/HhuD1V+iPFCRAepPNDd0lcLds1nNUPYyE/jFnyB/uMZ0fJEf0q7LfCrj8h1qEZemeU1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T16:52:25.702910Z"},"content_sha256":"77ee4b14b7fe4a82262127034a6a42cfc5acabbbca60fdf37215878a08630dfc","schema_version":"1.0","event_id":"sha256:77ee4b14b7fe4a82262127034a6a42cfc5acabbbca60fdf37215878a08630dfc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QUFDM54AQGJR43L5FZ2RUPIJDZ/bundle.json","state_url":"https://pith.science/pith/QUFDM54AQGJR43L5FZ2RUPIJDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QUFDM54AQGJR43L5FZ2RUPIJDZ/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":"2026-05-26T16:52:25Z","links":{"resolver":"https://pith.science/pith/QUFDM54AQGJR43L5FZ2RUPIJDZ","bundle":"https://pith.science/pith/QUFDM54AQGJR43L5FZ2RUPIJDZ/bundle.json","state":"https://pith.science/pith/QUFDM54AQGJR43L5FZ2RUPIJDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QUFDM54AQGJR43L5FZ2RUPIJDZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QUFDM54AQGJR43L5FZ2RUPIJDZ","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":"89d9ca16fe05626c3d80ed867a133d6794046d01b9c97e4e7c78bc606a3a376d","cross_cats_sorted":["math.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2018-06-13T13:09:20Z","title_canon_sha256":"47129acb7a0acf15e17731a4f8f0ede202bc9a2d69024c3765d5dcb7d4f9b75e"},"schema_version":"1.0","source":{"id":"1806.05546","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.05546","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1806.05546v1","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.05546","created_at":"2026-05-18T00:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"QUFDM54AQGJR","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QUFDM54AQGJR43L5","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QUFDM54A","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:77ee4b14b7fe4a82262127034a6a42cfc5acabbbca60fdf37215878a08630dfc","target":"graph","created_at":"2026-05-18T00:12:08Z","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":"This paper presents a new algorithm, Accelerated Wirtinger Flow (AWF), for ptychographic image reconstruction from phaseless diffraction pattern measurements. AWF is based on combining Nesterov's acceleration approach with Wirtinger gradient descent. Theoretical results enable prespecification of all AWF algorithm parameters, with no need for computationally-expensive line searches and no need for manual parameter tuning. AWF is evaluated in the context of simulated X-ray ptychography, where we demonstrate fast convergence and low per-iteration computational complexity. We also show examples w","authors_text":"Anthony F. J. Levi, Joshua Zusman, Justin P. Haldar, Mahdi Soltanolkotabi, Richard M. Leahy, Rui Xu, Walter Unglaub","cross_cats":["math.NA","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2018-06-13T13:09:20Z","title":"Accelerated Wirtinger Flow: A fast algorithm for ptychography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.05546","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":"sha256:08673bc9b292d516ccd4908301bf4bd45774926a9d9ec697e1f942d347187791","target":"record","created_at":"2026-05-18T00:12:08Z","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":"89d9ca16fe05626c3d80ed867a133d6794046d01b9c97e4e7c78bc606a3a376d","cross_cats_sorted":["math.NA","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.IV","submitted_at":"2018-06-13T13:09:20Z","title_canon_sha256":"47129acb7a0acf15e17731a4f8f0ede202bc9a2d69024c3765d5dcb7d4f9b75e"},"schema_version":"1.0","source":{"id":"1806.05546","kind":"arxiv","version":1}},"canonical_sha256":"850a36778081931e6d7d2e751a3d091e6423d13c70d4a5c307fb222a756976cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"850a36778081931e6d7d2e751a3d091e6423d13c70d4a5c307fb222a756976cf","first_computed_at":"2026-05-18T00:12:08.516576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:08.516576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I0WoiULmF7ZUj8HdGLt0GlRYtYbMtB8sz0q5Wld/VZOnWzJt+vz8O1IytJwDRjokMBp6AqdDlU5E5wMTUX9YDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:08.517092Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.05546","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08673bc9b292d516ccd4908301bf4bd45774926a9d9ec697e1f942d347187791","sha256:77ee4b14b7fe4a82262127034a6a42cfc5acabbbca60fdf37215878a08630dfc"],"state_sha256":"a0398d871169dc5f0580f7c73b721fdf251d15a3719c5f1dd6812ca48ec8d77c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U12jpjCO0iuX6HKmF9D+08KSUM6Z0dT0Z7jvg87VGPKN4nsRmHHYndi7IF9ZhRPVsaaEP17SXVAPSRMot4t7Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T16:52:25.706108Z","bundle_sha256":"a0eca36c7a1fdc54cc6551f602b3d3e0f97e657b547b95f15ed656d26e937487"}}