{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:2NXMCKXAFPD4QUC3VKFNDLTBNV","short_pith_number":"pith:2NXMCKXA","canonical_record":{"source":{"id":"2306.04904","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-06-08T03:16:21Z","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"title_canon_sha256":"78accc9f74509148f1d778b191194f4138c8aa7dd2e9cf1969df524d61e405b0","abstract_canon_sha256":"07bd897af7ef3b424d1d8b2d15ce0ee7c13faa9e3e0b4e6d44597725fe3ed4a5"},"schema_version":"1.0"},"canonical_sha256":"d36ec12ae02bc7c8505baa8ad1ae616d50cc4d3ddbb78706ebe446ab01f0bea2","source":{"kind":"arxiv","id":"2306.04904","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.04904","created_at":"2026-07-05T06:31:11Z"},{"alias_kind":"arxiv_version","alias_value":"2306.04904v2","created_at":"2026-07-05T06:31:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.04904","created_at":"2026-07-05T06:31:11Z"},{"alias_kind":"pith_short_12","alias_value":"2NXMCKXAFPD4","created_at":"2026-07-05T06:31:11Z"},{"alias_kind":"pith_short_16","alias_value":"2NXMCKXAFPD4QUC3","created_at":"2026-07-05T06:31:11Z"},{"alias_kind":"pith_short_8","alias_value":"2NXMCKXA","created_at":"2026-07-05T06:31:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:2NXMCKXAFPD4QUC3VKFNDLTBNV","target":"record","payload":{"canonical_record":{"source":{"id":"2306.04904","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-06-08T03:16:21Z","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"title_canon_sha256":"78accc9f74509148f1d778b191194f4138c8aa7dd2e9cf1969df524d61e405b0","abstract_canon_sha256":"07bd897af7ef3b424d1d8b2d15ce0ee7c13faa9e3e0b4e6d44597725fe3ed4a5"},"schema_version":"1.0"},"canonical_sha256":"d36ec12ae02bc7c8505baa8ad1ae616d50cc4d3ddbb78706ebe446ab01f0bea2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:31:11.952946Z","signature_b64":"qW8oUStzLA6YmkQxaAmv/tIpPXDN11bZEUf+7UjBXlusR3570tG5Gp8Nb9MC/rlcFNRSDFhRFHUqtbHruW4YDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d36ec12ae02bc7c8505baa8ad1ae616d50cc4d3ddbb78706ebe446ab01f0bea2","last_reissued_at":"2026-07-05T06:31:11.952486Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:31:11.952486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2306.04904","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":"2026-07-05T06:31:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4vIPFzfGuxQwGU4VqAF3lTOEJZV6WXdHdzyEpkBh25slwO75w4ImH2kGVZcZI2t/rGUIWBx65ZeYFXFKnIaTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:05:31.515989Z"},"content_sha256":"bdfbdfdb1f7fbb6b7ce12fa1fefab5ebef569b5928667a3213fe7f01c7cf14ad","schema_version":"1.0","event_id":"sha256:bdfbdfdb1f7fbb6b7ce12fa1fefab5ebef569b5928667a3213fe7f01c7cf14ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:2NXMCKXAFPD4QUC3VKFNDLTBNV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An adaptive augmented Lagrangian method for training physics and equality constrained artificial neural networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.comp-ph","physics.flu-dyn"],"primary_cat":"cs.LG","authors_text":"Inanc Senocak, Shamsulhaq Basir","submitted_at":"2023-06-08T03:16:21Z","abstract_excerpt":"Physics and equality constrained artificial neural networks (PECANN) are grounded in methods of constrained optimization to properly constrain the solution of partial differential equations (PDEs) with their boundary and initial conditions and any high-fidelity data that may be available. To this end, adoption of the augmented Lagrangian method within the PECANN framework is paramount for learning the solution of PDEs without manually balancing the individual loss terms in the objective function used for determining the parameters of the neural network. Generally speaking, ALM combines the mer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.04904","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/2306.04904/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":"2026-07-05T06:31:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nbioo9SbnUsjwREthRPzfWoAcgt7SiN4v0bKsWw626KvEy7B3dKafmc6y92zNN268bvgqbfccSQLsNzex6B/DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T18:05:31.516627Z"},"content_sha256":"9713b62fe27c92c0a6b6ddc2203e2e58b5d43c7b27c3e830b7156b6d6c0ba891","schema_version":"1.0","event_id":"sha256:9713b62fe27c92c0a6b6ddc2203e2e58b5d43c7b27c3e830b7156b6d6c0ba891"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2NXMCKXAFPD4QUC3VKFNDLTBNV/bundle.json","state_url":"https://pith.science/pith/2NXMCKXAFPD4QUC3VKFNDLTBNV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2NXMCKXAFPD4QUC3VKFNDLTBNV/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":"2026-08-07T18:05:31Z","links":{"resolver":"https://pith.science/pith/2NXMCKXAFPD4QUC3VKFNDLTBNV","bundle":"https://pith.science/pith/2NXMCKXAFPD4QUC3VKFNDLTBNV/bundle.json","state":"https://pith.science/pith/2NXMCKXAFPD4QUC3VKFNDLTBNV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2NXMCKXAFPD4QUC3VKFNDLTBNV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2NXMCKXAFPD4QUC3VKFNDLTBNV","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":"07bd897af7ef3b424d1d8b2d15ce0ee7c13faa9e3e0b4e6d44597725fe3ed4a5","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-06-08T03:16:21Z","title_canon_sha256":"78accc9f74509148f1d778b191194f4138c8aa7dd2e9cf1969df524d61e405b0"},"schema_version":"1.0","source":{"id":"2306.04904","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.04904","created_at":"2026-07-05T06:31:11Z"},{"alias_kind":"arxiv_version","alias_value":"2306.04904v2","created_at":"2026-07-05T06:31:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.04904","created_at":"2026-07-05T06:31:11Z"},{"alias_kind":"pith_short_12","alias_value":"2NXMCKXAFPD4","created_at":"2026-07-05T06:31:11Z"},{"alias_kind":"pith_short_16","alias_value":"2NXMCKXAFPD4QUC3","created_at":"2026-07-05T06:31:11Z"},{"alias_kind":"pith_short_8","alias_value":"2NXMCKXA","created_at":"2026-07-05T06:31:11Z"}],"graph_snapshots":[{"event_id":"sha256:9713b62fe27c92c0a6b6ddc2203e2e58b5d43c7b27c3e830b7156b6d6c0ba891","target":"graph","created_at":"2026-07-05T06:31:11Z","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/2306.04904/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Physics and equality constrained artificial neural networks (PECANN) are grounded in methods of constrained optimization to properly constrain the solution of partial differential equations (PDEs) with their boundary and initial conditions and any high-fidelity data that may be available. To this end, adoption of the augmented Lagrangian method within the PECANN framework is paramount for learning the solution of PDEs without manually balancing the individual loss terms in the objective function used for determining the parameters of the neural network. Generally speaking, ALM combines the mer","authors_text":"Inanc Senocak, Shamsulhaq Basir","cross_cats":["physics.comp-ph","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-06-08T03:16:21Z","title":"An adaptive augmented Lagrangian method for training physics and equality constrained artificial neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.04904","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:bdfbdfdb1f7fbb6b7ce12fa1fefab5ebef569b5928667a3213fe7f01c7cf14ad","target":"record","created_at":"2026-07-05T06:31:11Z","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":"07bd897af7ef3b424d1d8b2d15ce0ee7c13faa9e3e0b4e6d44597725fe3ed4a5","cross_cats_sorted":["physics.comp-ph","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2023-06-08T03:16:21Z","title_canon_sha256":"78accc9f74509148f1d778b191194f4138c8aa7dd2e9cf1969df524d61e405b0"},"schema_version":"1.0","source":{"id":"2306.04904","kind":"arxiv","version":2}},"canonical_sha256":"d36ec12ae02bc7c8505baa8ad1ae616d50cc4d3ddbb78706ebe446ab01f0bea2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d36ec12ae02bc7c8505baa8ad1ae616d50cc4d3ddbb78706ebe446ab01f0bea2","first_computed_at":"2026-07-05T06:31:11.952486Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:31:11.952486Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qW8oUStzLA6YmkQxaAmv/tIpPXDN11bZEUf+7UjBXlusR3570tG5Gp8Nb9MC/rlcFNRSDFhRFHUqtbHruW4YDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:31:11.952946Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.04904","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdfbdfdb1f7fbb6b7ce12fa1fefab5ebef569b5928667a3213fe7f01c7cf14ad","sha256:9713b62fe27c92c0a6b6ddc2203e2e58b5d43c7b27c3e830b7156b6d6c0ba891"],"state_sha256":"d6461e063374a4d0855a4f04eba9da3c0331980062d16e4f24e9c5c3f1eaaf10"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7RvwSMaoUF9MHnvm9uogtFDMqpnxGo2QsFfd+Bzr/5XlVbZLRQT/HoousP/7tV+nted8c6jR6aspZuEG0COPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T18:05:31.523107Z","bundle_sha256":"ac5d624dfb2bfcc27e1db3acc59a6cec72843d608c217dd9c0ac5571a018f408"}}