{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:CAVQMFLSPEJYV2M3EQONPJJGOV","short_pith_number":"pith:CAVQMFLS","canonical_record":{"source":{"id":"2212.08989","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-12-18T02:03:00Z","cross_cats_sorted":[],"title_canon_sha256":"739e55ca47e02d4f8e44e46aa0191cbdcf1bd07c73c7de06746dd814c878b1d8","abstract_canon_sha256":"defcfc758ffef1c852d7ffc14691672f934ecb5e6710dc14532c0b4a8c4921ae"},"schema_version":"1.0"},"canonical_sha256":"102b06157279138ae99b241cd7a526754c0b205912f0c4d916336dcc6fd13535","source":{"kind":"arxiv","id":"2212.08989","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.08989","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"2212.08989v3","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.08989","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"CAVQMFLSPEJY","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_16","alias_value":"CAVQMFLSPEJYV2M3","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_8","alias_value":"CAVQMFLS","created_at":"2026-05-21T01:05:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:CAVQMFLSPEJYV2M3EQONPJJGOV","target":"record","payload":{"canonical_record":{"source":{"id":"2212.08989","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-12-18T02:03:00Z","cross_cats_sorted":[],"title_canon_sha256":"739e55ca47e02d4f8e44e46aa0191cbdcf1bd07c73c7de06746dd814c878b1d8","abstract_canon_sha256":"defcfc758ffef1c852d7ffc14691672f934ecb5e6710dc14532c0b4a8c4921ae"},"schema_version":"1.0"},"canonical_sha256":"102b06157279138ae99b241cd7a526754c0b205912f0c4d916336dcc6fd13535","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:01.478124Z","signature_b64":"28oYq5OWFbdxvtcrmKEPv0DQoT9nKCu9NseYhv8B7iQUOaBnP/MRVdjNvPxSXESNveg5vyyq5QKHt1aDDo8YBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"102b06157279138ae99b241cd7a526754c0b205912f0c4d916336dcc6fd13535","last_reissued_at":"2026-05-21T01:05:01.477148Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:01.477148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.08989","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-21T01:05:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JbOFf1dtNwMFYvGwpdRkHM5vMaByjzUw4ksXWv3+hoCmYcZr3HixStczhbiISIIeKNeCZWTfypV99aTwei3yCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:46:16.426300Z"},"content_sha256":"1b25427812fd2170ff4065d995cb91b8ae09c2f4f033fbe36d6edb837bd3b919","schema_version":"1.0","event_id":"sha256:1b25427812fd2170ff4065d995cb91b8ae09c2f4f033fbe36d6edb837bd3b919"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:CAVQMFLSPEJYV2M3EQONPJJGOV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deep learning applied to computational mechanics: A comprehensive review, state of the art, and the classics","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Alexander Humer, Loc Vu-Quoc","submitted_at":"2022-12-18T02:03:00Z","abstract_excerpt":"Three recent breakthroughs due to AI in arts and science serve as motivation: An award winning digital image, protein folding, fast matrix multiplication. Many recent developments in artificial neural networks, particularly deep learning (DL), applied and relevant to computational mechanics (solid, fluids, finite-element technology) are reviewed in detail. Both hybrid and pure machine learning (ML) methods are discussed. Hybrid methods combine traditional PDE discretizations with ML methods either (1) to help model complex nonlinear constitutive relations, (2) to nonlinearly reduce the model o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.08989","kind":"arxiv","version":3},"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/2212.08989/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":"2026-05-21T01:05:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FB+g6WLvhBRyDFPG0tSOjxLfeU2A3EB/pREv8caGGywbGjUuNJqTzsMBq8sRvBeAiPtzIQqY3VGUATf/Z1IeCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T08:46:16.427021Z"},"content_sha256":"25ec6debd9c8d556780d5da8e281433301eb141d6b4763857ac49f890f687f63","schema_version":"1.0","event_id":"sha256:25ec6debd9c8d556780d5da8e281433301eb141d6b4763857ac49f890f687f63"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CAVQMFLSPEJYV2M3EQONPJJGOV/bundle.json","state_url":"https://pith.science/pith/CAVQMFLSPEJYV2M3EQONPJJGOV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CAVQMFLSPEJYV2M3EQONPJJGOV/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":"2026-05-26T08:46:16Z","links":{"resolver":"https://pith.science/pith/CAVQMFLSPEJYV2M3EQONPJJGOV","bundle":"https://pith.science/pith/CAVQMFLSPEJYV2M3EQONPJJGOV/bundle.json","state":"https://pith.science/pith/CAVQMFLSPEJYV2M3EQONPJJGOV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CAVQMFLSPEJYV2M3EQONPJJGOV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:CAVQMFLSPEJYV2M3EQONPJJGOV","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":"defcfc758ffef1c852d7ffc14691672f934ecb5e6710dc14532c0b4a8c4921ae","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-12-18T02:03:00Z","title_canon_sha256":"739e55ca47e02d4f8e44e46aa0191cbdcf1bd07c73c7de06746dd814c878b1d8"},"schema_version":"1.0","source":{"id":"2212.08989","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.08989","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"2212.08989v3","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.08989","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"CAVQMFLSPEJY","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_16","alias_value":"CAVQMFLSPEJYV2M3","created_at":"2026-05-21T01:05:01Z"},{"alias_kind":"pith_short_8","alias_value":"CAVQMFLS","created_at":"2026-05-21T01:05:01Z"}],"graph_snapshots":[{"event_id":"sha256:25ec6debd9c8d556780d5da8e281433301eb141d6b4763857ac49f890f687f63","target":"graph","created_at":"2026-05-21T01:05:01Z","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/2212.08989/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Three recent breakthroughs due to AI in arts and science serve as motivation: An award winning digital image, protein folding, fast matrix multiplication. Many recent developments in artificial neural networks, particularly deep learning (DL), applied and relevant to computational mechanics (solid, fluids, finite-element technology) are reviewed in detail. Both hybrid and pure machine learning (ML) methods are discussed. Hybrid methods combine traditional PDE discretizations with ML methods either (1) to help model complex nonlinear constitutive relations, (2) to nonlinearly reduce the model o","authors_text":"Alexander Humer, Loc Vu-Quoc","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-12-18T02:03:00Z","title":"Deep learning applied to computational mechanics: A comprehensive review, state of the art, and the classics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.08989","kind":"arxiv","version":3},"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":"sha256:1b25427812fd2170ff4065d995cb91b8ae09c2f4f033fbe36d6edb837bd3b919","target":"record","created_at":"2026-05-21T01:05:01Z","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":"defcfc758ffef1c852d7ffc14691672f934ecb5e6710dc14532c0b4a8c4921ae","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-12-18T02:03:00Z","title_canon_sha256":"739e55ca47e02d4f8e44e46aa0191cbdcf1bd07c73c7de06746dd814c878b1d8"},"schema_version":"1.0","source":{"id":"2212.08989","kind":"arxiv","version":3}},"canonical_sha256":"102b06157279138ae99b241cd7a526754c0b205912f0c4d916336dcc6fd13535","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"102b06157279138ae99b241cd7a526754c0b205912f0c4d916336dcc6fd13535","first_computed_at":"2026-05-21T01:05:01.477148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:05:01.477148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"28oYq5OWFbdxvtcrmKEPv0DQoT9nKCu9NseYhv8B7iQUOaBnP/MRVdjNvPxSXESNveg5vyyq5QKHt1aDDo8YBQ==","signature_status":"signed_v1","signed_at":"2026-05-21T01:05:01.478124Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.08989","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b25427812fd2170ff4065d995cb91b8ae09c2f4f033fbe36d6edb837bd3b919","sha256:25ec6debd9c8d556780d5da8e281433301eb141d6b4763857ac49f890f687f63"],"state_sha256":"8f76c7ac33a034a980db2b2467f9ac4326581edb7013319fbe22548801f7417b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WyuTrqqViPJZv+jmTgX0Q+kViAvrxsjmBZUR7n6T/L6E445P2oZucsTpXKbztFjdZvVT/6SR0jMWDXNWv5acDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T08:46:16.429697Z","bundle_sha256":"5de779b8005dfc54047e87efa62f94baf5c2a78897c1c512b7dd3a93120be5f9"}}