{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:RCRSNGEB377LYGHJ7QQY5DQ55R","short_pith_number":"pith:RCRSNGEB","canonical_record":{"source":{"id":"2605.20639","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-05-20T02:53:51Z","cross_cats_sorted":["cs.LG","math.DS"],"title_canon_sha256":"f8a462a3d6399f5c2659788662502e1b6ebefa3b5e0939d5f452a100ae7ffcbf","abstract_canon_sha256":"e76817946ef51423abe99d16bc6dac74b4a70d161a96170c01aec764115bf4e4"},"schema_version":"1.0"},"canonical_sha256":"88a3269881dffebc18e9fc218e8e1dec611504454c7235ac450bac36ba07716c","source":{"kind":"arxiv","id":"2605.20639","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20639","created_at":"2026-05-21T01:04:46Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20639v1","created_at":"2026-05-21T01:04:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20639","created_at":"2026-05-21T01:04:46Z"},{"alias_kind":"pith_short_12","alias_value":"RCRSNGEB377L","created_at":"2026-05-21T01:04:46Z"},{"alias_kind":"pith_short_16","alias_value":"RCRSNGEB377LYGHJ","created_at":"2026-05-21T01:04:46Z"},{"alias_kind":"pith_short_8","alias_value":"RCRSNGEB","created_at":"2026-05-21T01:04:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:RCRSNGEB377LYGHJ7QQY5DQ55R","target":"record","payload":{"canonical_record":{"source":{"id":"2605.20639","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-05-20T02:53:51Z","cross_cats_sorted":["cs.LG","math.DS"],"title_canon_sha256":"f8a462a3d6399f5c2659788662502e1b6ebefa3b5e0939d5f452a100ae7ffcbf","abstract_canon_sha256":"e76817946ef51423abe99d16bc6dac74b4a70d161a96170c01aec764115bf4e4"},"schema_version":"1.0"},"canonical_sha256":"88a3269881dffebc18e9fc218e8e1dec611504454c7235ac450bac36ba07716c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:04:46.256192Z","signature_b64":"EzjeEQYOxtkmL6zylpVYYc79aAuIRodHN4mG1RU0hpiuHyGS9uMyu1fAyqLHJKnGF2SXHsuybQHW/aAezE03CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88a3269881dffebc18e9fc218e8e1dec611504454c7235ac450bac36ba07716c","last_reissued_at":"2026-05-21T01:04:46.255487Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:04:46.255487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.20639","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":"2026-05-21T01:04:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"biEYQoVucRaAN8OnrruvMBMvAMSSsVCyawEObK1eRWvIjpxB3f1hfuukEbgS0ZhlyRuAM4FTLuh2s+x9l3YoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T18:32:17.821470Z"},"content_sha256":"68abe60467611a18b535733316e1caa85220b2292cffa2c0ca4d60c2960841b5","schema_version":"1.0","event_id":"sha256:68abe60467611a18b535733316e1caa85220b2292cffa2c0ca4d60c2960841b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:RCRSNGEB377LYGHJ7QQY5DQ55R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-Dependent PDE-Constrained Optimization via Weak-Form Latent Dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","math.DS"],"primary_cat":"math.OC","authors_text":"April Tran, David Bortz, Terry Haut, Youngsoo Choi","submitted_at":"2026-05-20T02:53:51Z","abstract_excerpt":"Optimization problems constrained by high-dimensional, time-dependent partial differential equations require repeated forward and sensitivity solves, making high-fidelity optimization computationally prohibitive in many-query design and control settings. We present a weak-form latent-space reduced-order modeling framework for accelerating gradient-based PDE-constrained optimization. The proposed approach builds on Weak-form Latent Space Dynamics Identification (WLaSDI), which compresses high-dimensional solution trajectories into a low-dimensional latent representation and identifies parametri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20639","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/2605.20639/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":"2026-05-21T01:04:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HEjqUU2y85ytjecbMvoxFZimZHJZFGSHBH5nvdzN+7ZIPpFPGjmHkrAQDQm/gdy/5EKYCpsOPPsnpOYnMv3OAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T18:32:17.822195Z"},"content_sha256":"16941a58f3d4c2bee33418c4e68e45b012be2cf06ce54b7700edf6901b47c8ae","schema_version":"1.0","event_id":"sha256:16941a58f3d4c2bee33418c4e68e45b012be2cf06ce54b7700edf6901b47c8ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RCRSNGEB377LYGHJ7QQY5DQ55R/bundle.json","state_url":"https://pith.science/pith/RCRSNGEB377LYGHJ7QQY5DQ55R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RCRSNGEB377LYGHJ7QQY5DQ55R/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":"2026-05-29T18:32:17Z","links":{"resolver":"https://pith.science/pith/RCRSNGEB377LYGHJ7QQY5DQ55R","bundle":"https://pith.science/pith/RCRSNGEB377LYGHJ7QQY5DQ55R/bundle.json","state":"https://pith.science/pith/RCRSNGEB377LYGHJ7QQY5DQ55R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RCRSNGEB377LYGHJ7QQY5DQ55R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RCRSNGEB377LYGHJ7QQY5DQ55R","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":"e76817946ef51423abe99d16bc6dac74b4a70d161a96170c01aec764115bf4e4","cross_cats_sorted":["cs.LG","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-05-20T02:53:51Z","title_canon_sha256":"f8a462a3d6399f5c2659788662502e1b6ebefa3b5e0939d5f452a100ae7ffcbf"},"schema_version":"1.0","source":{"id":"2605.20639","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20639","created_at":"2026-05-21T01:04:46Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20639v1","created_at":"2026-05-21T01:04:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20639","created_at":"2026-05-21T01:04:46Z"},{"alias_kind":"pith_short_12","alias_value":"RCRSNGEB377L","created_at":"2026-05-21T01:04:46Z"},{"alias_kind":"pith_short_16","alias_value":"RCRSNGEB377LYGHJ","created_at":"2026-05-21T01:04:46Z"},{"alias_kind":"pith_short_8","alias_value":"RCRSNGEB","created_at":"2026-05-21T01:04:46Z"}],"graph_snapshots":[{"event_id":"sha256:16941a58f3d4c2bee33418c4e68e45b012be2cf06ce54b7700edf6901b47c8ae","target":"graph","created_at":"2026-05-21T01:04:46Z","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/2605.20639/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Optimization problems constrained by high-dimensional, time-dependent partial differential equations require repeated forward and sensitivity solves, making high-fidelity optimization computationally prohibitive in many-query design and control settings. We present a weak-form latent-space reduced-order modeling framework for accelerating gradient-based PDE-constrained optimization. The proposed approach builds on Weak-form Latent Space Dynamics Identification (WLaSDI), which compresses high-dimensional solution trajectories into a low-dimensional latent representation and identifies parametri","authors_text":"April Tran, David Bortz, Terry Haut, Youngsoo Choi","cross_cats":["cs.LG","math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-05-20T02:53:51Z","title":"Time-Dependent PDE-Constrained Optimization via Weak-Form Latent Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20639","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":"sha256:68abe60467611a18b535733316e1caa85220b2292cffa2c0ca4d60c2960841b5","target":"record","created_at":"2026-05-21T01:04:46Z","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":"e76817946ef51423abe99d16bc6dac74b4a70d161a96170c01aec764115bf4e4","cross_cats_sorted":["cs.LG","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-05-20T02:53:51Z","title_canon_sha256":"f8a462a3d6399f5c2659788662502e1b6ebefa3b5e0939d5f452a100ae7ffcbf"},"schema_version":"1.0","source":{"id":"2605.20639","kind":"arxiv","version":1}},"canonical_sha256":"88a3269881dffebc18e9fc218e8e1dec611504454c7235ac450bac36ba07716c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88a3269881dffebc18e9fc218e8e1dec611504454c7235ac450bac36ba07716c","first_computed_at":"2026-05-21T01:04:46.255487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:04:46.255487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EzjeEQYOxtkmL6zylpVYYc79aAuIRodHN4mG1RU0hpiuHyGS9uMyu1fAyqLHJKnGF2SXHsuybQHW/aAezE03CA==","signature_status":"signed_v1","signed_at":"2026-05-21T01:04:46.256192Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.20639","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68abe60467611a18b535733316e1caa85220b2292cffa2c0ca4d60c2960841b5","sha256:16941a58f3d4c2bee33418c4e68e45b012be2cf06ce54b7700edf6901b47c8ae"],"state_sha256":"5c31a21c7f473a9a6c0c2494e599229a8d0c55e6696153f7f11ac029bf880a2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oy79wbigwsQspVAP/ZVQzQA4Ao/4zlIk50Dq5vIy4uvlY7qtRUB1WJSMb/hl8yoLKCMOCCQiNU8lWYhIW7NxDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T18:32:17.826239Z","bundle_sha256":"ff046e7d7be78e09e7d184fe87bdf419f40d8c891f0b0b7545b6966929812cf9"}}