{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4NPTM4WPANTOI2HJXODGPR43T4","short_pith_number":"pith:4NPTM4WP","canonical_record":{"source":{"id":"2504.14083","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-18T21:27:53Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"2166b8e053e2fd4f7bbb72a1c5b8f7353e4105ae68d4f105b393753c443b449c","abstract_canon_sha256":"40644b282b2f9838fb5fcea7b43e329d9557eeec18f49996a212fa20ac787da8"},"schema_version":"1.0"},"canonical_sha256":"e35f3672cf0366e468e9bb8667c79b9f3e91240ef087255992ec651960440a1e","source":{"kind":"arxiv","id":"2504.14083","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.14083","created_at":"2026-07-05T10:51:10Z"},{"alias_kind":"arxiv_version","alias_value":"2504.14083v1","created_at":"2026-07-05T10:51:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.14083","created_at":"2026-07-05T10:51:10Z"},{"alias_kind":"pith_short_12","alias_value":"4NPTM4WPANTO","created_at":"2026-07-05T10:51:10Z"},{"alias_kind":"pith_short_16","alias_value":"4NPTM4WPANTOI2HJ","created_at":"2026-07-05T10:51:10Z"},{"alias_kind":"pith_short_8","alias_value":"4NPTM4WP","created_at":"2026-07-05T10:51:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4NPTM4WPANTOI2HJXODGPR43T4","target":"record","payload":{"canonical_record":{"source":{"id":"2504.14083","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-18T21:27:53Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"2166b8e053e2fd4f7bbb72a1c5b8f7353e4105ae68d4f105b393753c443b449c","abstract_canon_sha256":"40644b282b2f9838fb5fcea7b43e329d9557eeec18f49996a212fa20ac787da8"},"schema_version":"1.0"},"canonical_sha256":"e35f3672cf0366e468e9bb8667c79b9f3e91240ef087255992ec651960440a1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:51:10.614638Z","signature_b64":"6t+yp8keOZiFqWC9w2bYM4k5u1Nnw12wkcI7bm0Y0hWMVFo0aUFfUDEcm9sPQBxQ38NbDvJMMmyvdy9paI14Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e35f3672cf0366e468e9bb8667c79b9f3e91240ef087255992ec651960440a1e","last_reissued_at":"2026-07-05T10:51:10.614062Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:51:10.614062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.14083","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":"2026-07-05T10:51:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sLpdmYuETTDYhdAb2l3UqFxJ+KCTQJbteuMwP4DrJ64CFY5MsZ3fqkW3WIK7ADqPQadqF3mXITouxnE17oSwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:23:39.964586Z"},"content_sha256":"db04a956342f374c9d5f6e3f8a9fd2bfa731698bc74f8c5545baad90b4a44f48","schema_version":"1.0","event_id":"sha256:db04a956342f374c9d5f6e3f8a9fd2bfa731698bc74f8c5545baad90b4a44f48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4NPTM4WPANTOI2HJXODGPR43T4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Inferring Structure via Duality for Photonic Inverse Design","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"math.OC","authors_text":"Alejandro W. Rodriguez, Alessio Amaolo, Pengning Chao, Sean Molesky","submitted_at":"2025-04-18T21:27:53Z","abstract_excerpt":"Led by a result derived from Sion's minimax theorem concerning constraint violation in quadratically constrained quadratic programs (QCQPs) with at least one constraint bounding the possible solution magnitude, we propose a heuristic scheme for photonic inverse design unifying core ideas from adjoint optimization and convex relaxation bounds. Specifically, through a series of alterations to the underlying constraints and objective, the QCQP associated with a given design problem is gradually transformed so that it becomes strongly dual. Once equivalence between primal and dual programs is achi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.14083","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.14083/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":"2026-07-05T10:51:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MgyQ/7uImyxt/M3gIcfsa/dJnT1t32Y6LZHNtY2xNR+67hSpsOQX5cJYDH17KrlIghT+/DsnU0exGDLRS98sAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:23:39.967362Z"},"content_sha256":"12935840a08de113efa0c347b715a55023598ec37b01ea5b8ee95a656b59e74e","schema_version":"1.0","event_id":"sha256:12935840a08de113efa0c347b715a55023598ec37b01ea5b8ee95a656b59e74e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4NPTM4WPANTOI2HJXODGPR43T4/bundle.json","state_url":"https://pith.science/pith/4NPTM4WPANTOI2HJXODGPR43T4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4NPTM4WPANTOI2HJXODGPR43T4/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":"2026-08-05T13:23:39Z","links":{"resolver":"https://pith.science/pith/4NPTM4WPANTOI2HJXODGPR43T4","bundle":"https://pith.science/pith/4NPTM4WPANTOI2HJXODGPR43T4/bundle.json","state":"https://pith.science/pith/4NPTM4WPANTOI2HJXODGPR43T4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4NPTM4WPANTOI2HJXODGPR43T4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4NPTM4WPANTOI2HJXODGPR43T4","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":"40644b282b2f9838fb5fcea7b43e329d9557eeec18f49996a212fa20ac787da8","cross_cats_sorted":["physics.optics"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-18T21:27:53Z","title_canon_sha256":"2166b8e053e2fd4f7bbb72a1c5b8f7353e4105ae68d4f105b393753c443b449c"},"schema_version":"1.0","source":{"id":"2504.14083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.14083","created_at":"2026-07-05T10:51:10Z"},{"alias_kind":"arxiv_version","alias_value":"2504.14083v1","created_at":"2026-07-05T10:51:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.14083","created_at":"2026-07-05T10:51:10Z"},{"alias_kind":"pith_short_12","alias_value":"4NPTM4WPANTO","created_at":"2026-07-05T10:51:10Z"},{"alias_kind":"pith_short_16","alias_value":"4NPTM4WPANTOI2HJ","created_at":"2026-07-05T10:51:10Z"},{"alias_kind":"pith_short_8","alias_value":"4NPTM4WP","created_at":"2026-07-05T10:51:10Z"}],"graph_snapshots":[{"event_id":"sha256:12935840a08de113efa0c347b715a55023598ec37b01ea5b8ee95a656b59e74e","target":"graph","created_at":"2026-07-05T10:51:10Z","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/2504.14083/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Led by a result derived from Sion's minimax theorem concerning constraint violation in quadratically constrained quadratic programs (QCQPs) with at least one constraint bounding the possible solution magnitude, we propose a heuristic scheme for photonic inverse design unifying core ideas from adjoint optimization and convex relaxation bounds. Specifically, through a series of alterations to the underlying constraints and objective, the QCQP associated with a given design problem is gradually transformed so that it becomes strongly dual. Once equivalence between primal and dual programs is achi","authors_text":"Alejandro W. Rodriguez, Alessio Amaolo, Pengning Chao, Sean Molesky","cross_cats":["physics.optics"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-18T21:27:53Z","title":"Inferring Structure via Duality for Photonic Inverse Design"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.14083","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:db04a956342f374c9d5f6e3f8a9fd2bfa731698bc74f8c5545baad90b4a44f48","target":"record","created_at":"2026-07-05T10:51:10Z","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":"40644b282b2f9838fb5fcea7b43e329d9557eeec18f49996a212fa20ac787da8","cross_cats_sorted":["physics.optics"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-04-18T21:27:53Z","title_canon_sha256":"2166b8e053e2fd4f7bbb72a1c5b8f7353e4105ae68d4f105b393753c443b449c"},"schema_version":"1.0","source":{"id":"2504.14083","kind":"arxiv","version":1}},"canonical_sha256":"e35f3672cf0366e468e9bb8667c79b9f3e91240ef087255992ec651960440a1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e35f3672cf0366e468e9bb8667c79b9f3e91240ef087255992ec651960440a1e","first_computed_at":"2026-07-05T10:51:10.614062Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:51:10.614062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6t+yp8keOZiFqWC9w2bYM4k5u1Nnw12wkcI7bm0Y0hWMVFo0aUFfUDEcm9sPQBxQ38NbDvJMMmyvdy9paI14Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:51:10.614638Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.14083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db04a956342f374c9d5f6e3f8a9fd2bfa731698bc74f8c5545baad90b4a44f48","sha256:12935840a08de113efa0c347b715a55023598ec37b01ea5b8ee95a656b59e74e"],"state_sha256":"7e0733fb36b43295a96d3f8a9bcaa733d3e94397f0d10485a8173585323dff47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6WASzL9G/txZvv4lvzlIfffqJ9x+O32C5xruXbTKiOyR6iwrfoz5ZzHCUAhGJ2javx6GE4/7sXLYL4OzubGAAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T13:23:39.984935Z","bundle_sha256":"c2e5c39cccb297a3aac357ef1d27d34e852ae990070d4a83fb003e400478aa0c"}}