{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZNXRBVGG7OGK3QZ6QV5NHUJW7Z","short_pith_number":"pith:ZNXRBVGG","canonical_record":{"source":{"id":"2502.07325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-02-11T07:43:03Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"7ceb5db1de87472206c58edccc3edb166416b8fd085538b8cc1441012cc0be06","abstract_canon_sha256":"711d3101b0a576b69969fb4980caf5c4ebfac1bd89b3a3f0ad33edb61c79029b"},"schema_version":"1.0"},"canonical_sha256":"cb6f10d4c6fb8cadc33e857ad3d136fe59f1823250d8ad2e69622af9f74f8ae2","source":{"kind":"arxiv","id":"2502.07325","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.07325","created_at":"2026-07-05T10:12:36Z"},{"alias_kind":"arxiv_version","alias_value":"2502.07325v1","created_at":"2026-07-05T10:12:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.07325","created_at":"2026-07-05T10:12:36Z"},{"alias_kind":"pith_short_12","alias_value":"ZNXRBVGG7OGK","created_at":"2026-07-05T10:12:36Z"},{"alias_kind":"pith_short_16","alias_value":"ZNXRBVGG7OGK3QZ6","created_at":"2026-07-05T10:12:36Z"},{"alias_kind":"pith_short_8","alias_value":"ZNXRBVGG","created_at":"2026-07-05T10:12:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZNXRBVGG7OGK3QZ6QV5NHUJW7Z","target":"record","payload":{"canonical_record":{"source":{"id":"2502.07325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-02-11T07:43:03Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"7ceb5db1de87472206c58edccc3edb166416b8fd085538b8cc1441012cc0be06","abstract_canon_sha256":"711d3101b0a576b69969fb4980caf5c4ebfac1bd89b3a3f0ad33edb61c79029b"},"schema_version":"1.0"},"canonical_sha256":"cb6f10d4c6fb8cadc33e857ad3d136fe59f1823250d8ad2e69622af9f74f8ae2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:12:36.081020Z","signature_b64":"7+E4dhozCAZPmdfW/SsW4DimyJd0RLDw8R+hnOd2O4/yLyGESSfCK4gVJNTeFBQAGO5waMm59yxWScgky7IKCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb6f10d4c6fb8cadc33e857ad3d136fe59f1823250d8ad2e69622af9f74f8ae2","last_reissued_at":"2026-07-05T10:12:36.080457Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:12:36.080457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.07325","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":"2026-07-05T10:12:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fiXA38QD8zozZ4Tmk4VRrR3EZASV59BhKBE+HwalLItaU/VrU3E+SqM9SKjWqPVumr0bK/cZwpf7oWsIm3yeAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T15:41:45.952923Z"},"content_sha256":"c5a32fa2e6998432353591b46b4a03d146f3f2f82d3802424ddd923f2c975656","schema_version":"1.0","event_id":"sha256:c5a32fa2e6998432353591b46b4a03d146f3f2f82d3802424ddd923f2c975656"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZNXRBVGG7OGK3QZ6QV5NHUJW7Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Long-term simulation of physical and mechanical behaviors using curriculum-transfer-learning based physics-informed neural networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cs.LG","authors_text":"Jian Min, Shiyu Lin, Xiaoting Liu, Xiaoying Zhuang, Youssef F. Rashed, Yuan Guo, Zhuojia Fu","submitted_at":"2025-02-11T07:43:03Z","abstract_excerpt":"This paper proposes a Curriculum-Transfer-Learning based physics-informed neural network (CTL-PINN) for long-term simulation of physical and mechanical behaviors. The main innovation of CTL-PINN lies in decomposing long-term problems into a sequence of short-term subproblems. Initially, the standard PINN is employed to solve the first sub-problem. As the simulation progresses, subsequent time-domain problems are addressed using a curriculum learning approach that integrates information from previous steps. Furthermore, transfer learning techniques are incorporated, allowing the model to effect"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.07325","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/2502.07325/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":"2026-07-05T10:12:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSg/FeGArjgHSe3oVArAu3kElxDXo0tel15MVCLKBSh/SfwwMiem5d4FCzFLgcQNyr2yX97M0q7xO1Fdg3YdDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T15:41:45.953454Z"},"content_sha256":"810a5331c63bb1c89372f884509171f267d5a4bdd6a81de5f3a70af25d59212b","schema_version":"1.0","event_id":"sha256:810a5331c63bb1c89372f884509171f267d5a4bdd6a81de5f3a70af25d59212b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZNXRBVGG7OGK3QZ6QV5NHUJW7Z/bundle.json","state_url":"https://pith.science/pith/ZNXRBVGG7OGK3QZ6QV5NHUJW7Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZNXRBVGG7OGK3QZ6QV5NHUJW7Z/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":"2026-08-09T15:41:45Z","links":{"resolver":"https://pith.science/pith/ZNXRBVGG7OGK3QZ6QV5NHUJW7Z","bundle":"https://pith.science/pith/ZNXRBVGG7OGK3QZ6QV5NHUJW7Z/bundle.json","state":"https://pith.science/pith/ZNXRBVGG7OGK3QZ6QV5NHUJW7Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZNXRBVGG7OGK3QZ6QV5NHUJW7Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZNXRBVGG7OGK3QZ6QV5NHUJW7Z","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":"711d3101b0a576b69969fb4980caf5c4ebfac1bd89b3a3f0ad33edb61c79029b","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-02-11T07:43:03Z","title_canon_sha256":"7ceb5db1de87472206c58edccc3edb166416b8fd085538b8cc1441012cc0be06"},"schema_version":"1.0","source":{"id":"2502.07325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.07325","created_at":"2026-07-05T10:12:36Z"},{"alias_kind":"arxiv_version","alias_value":"2502.07325v1","created_at":"2026-07-05T10:12:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.07325","created_at":"2026-07-05T10:12:36Z"},{"alias_kind":"pith_short_12","alias_value":"ZNXRBVGG7OGK","created_at":"2026-07-05T10:12:36Z"},{"alias_kind":"pith_short_16","alias_value":"ZNXRBVGG7OGK3QZ6","created_at":"2026-07-05T10:12:36Z"},{"alias_kind":"pith_short_8","alias_value":"ZNXRBVGG","created_at":"2026-07-05T10:12:36Z"}],"graph_snapshots":[{"event_id":"sha256:810a5331c63bb1c89372f884509171f267d5a4bdd6a81de5f3a70af25d59212b","target":"graph","created_at":"2026-07-05T10:12:36Z","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/2502.07325/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proposes a Curriculum-Transfer-Learning based physics-informed neural network (CTL-PINN) for long-term simulation of physical and mechanical behaviors. The main innovation of CTL-PINN lies in decomposing long-term problems into a sequence of short-term subproblems. Initially, the standard PINN is employed to solve the first sub-problem. As the simulation progresses, subsequent time-domain problems are addressed using a curriculum learning approach that integrates information from previous steps. Furthermore, transfer learning techniques are incorporated, allowing the model to effect","authors_text":"Jian Min, Shiyu Lin, Xiaoting Liu, Xiaoying Zhuang, Youssef F. Rashed, Yuan Guo, Zhuojia Fu","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-02-11T07:43:03Z","title":"Long-term simulation of physical and mechanical behaviors using curriculum-transfer-learning based physics-informed neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.07325","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:c5a32fa2e6998432353591b46b4a03d146f3f2f82d3802424ddd923f2c975656","target":"record","created_at":"2026-07-05T10:12:36Z","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":"711d3101b0a576b69969fb4980caf5c4ebfac1bd89b3a3f0ad33edb61c79029b","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-02-11T07:43:03Z","title_canon_sha256":"7ceb5db1de87472206c58edccc3edb166416b8fd085538b8cc1441012cc0be06"},"schema_version":"1.0","source":{"id":"2502.07325","kind":"arxiv","version":1}},"canonical_sha256":"cb6f10d4c6fb8cadc33e857ad3d136fe59f1823250d8ad2e69622af9f74f8ae2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb6f10d4c6fb8cadc33e857ad3d136fe59f1823250d8ad2e69622af9f74f8ae2","first_computed_at":"2026-07-05T10:12:36.080457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:12:36.080457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7+E4dhozCAZPmdfW/SsW4DimyJd0RLDw8R+hnOd2O4/yLyGESSfCK4gVJNTeFBQAGO5waMm59yxWScgky7IKCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:12:36.081020Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.07325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5a32fa2e6998432353591b46b4a03d146f3f2f82d3802424ddd923f2c975656","sha256:810a5331c63bb1c89372f884509171f267d5a4bdd6a81de5f3a70af25d59212b"],"state_sha256":"30953eb1ce541f0a1eafc1150d5f67f49cc6d07992ad5aafeef0229cc6cffb5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mY7jcrHG05Qn9pDyjzIARhQaMwibHiAUyK0YqTbZaTOGloQWzSblZYEXaKgD4f9bCr5nt8py8bM7HSvlRYcvCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T15:41:45.957193Z","bundle_sha256":"3477f54e69c687434b232774627c7b429f60fd56a447fe8de05a01dac42cfc6e"}}