{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:QNXAEYVHV5EZ7JBA6FGPDWRSGH","short_pith_number":"pith:QNXAEYVH","canonical_record":{"source":{"id":"2508.05638","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2025-07-23T05:07:24Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"41870f03f5d31183e56cdd5f1ab7df4d5f51768f6e1d4c535a656d4f70357596","abstract_canon_sha256":"cfb3b83acf3be448b7ba5473ef625de93c006bfd5c0b474df50f10a4cf428afa"},"schema_version":"1.0"},"canonical_sha256":"836e0262a7af499fa420f14cf1da3231d0aa3ec04c4d5c0a7a110eafe4a396d3","source":{"kind":"arxiv","id":"2508.05638","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.05638","created_at":"2026-07-05T11:50:40Z"},{"alias_kind":"arxiv_version","alias_value":"2508.05638v1","created_at":"2026-07-05T11:50:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.05638","created_at":"2026-07-05T11:50:40Z"},{"alias_kind":"pith_short_12","alias_value":"QNXAEYVHV5EZ","created_at":"2026-07-05T11:50:40Z"},{"alias_kind":"pith_short_16","alias_value":"QNXAEYVHV5EZ7JBA","created_at":"2026-07-05T11:50:40Z"},{"alias_kind":"pith_short_8","alias_value":"QNXAEYVH","created_at":"2026-07-05T11:50:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:QNXAEYVHV5EZ7JBA6FGPDWRSGH","target":"record","payload":{"canonical_record":{"source":{"id":"2508.05638","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2025-07-23T05:07:24Z","cross_cats_sorted":["physics.data-an"],"title_canon_sha256":"41870f03f5d31183e56cdd5f1ab7df4d5f51768f6e1d4c535a656d4f70357596","abstract_canon_sha256":"cfb3b83acf3be448b7ba5473ef625de93c006bfd5c0b474df50f10a4cf428afa"},"schema_version":"1.0"},"canonical_sha256":"836e0262a7af499fa420f14cf1da3231d0aa3ec04c4d5c0a7a110eafe4a396d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:50:40.622331Z","signature_b64":"wEySWES/JH6ZWDy2osBQ0rfgMS2rJXRwlwWOi68WQbayx7sa3f7oV5FXtgjwYv0Ydvv9LQgshUfZ22Al5Fl6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"836e0262a7af499fa420f14cf1da3231d0aa3ec04c4d5c0a7a110eafe4a396d3","last_reissued_at":"2026-07-05T11:50:40.621846Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:50:40.621846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.05638","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":"2026-07-05T11:50:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jLXN4bXaC0uICI6gIx5fsCA9DmJmr28+JlO7armumNs6+nFm9CZZza0KvvoxgwlCZ0q++9UtGmPH7YSMi/zTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:39:35.712808Z"},"content_sha256":"5987c65fbd065ca28ffe3280731e379d09736c9a751df429b40906459868adcd","schema_version":"1.0","event_id":"sha256:5987c65fbd065ca28ffe3280731e379d09736c9a751df429b40906459868adcd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:QNXAEYVHV5EZ7JBA6FGPDWRSGH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Physics-Augmented Machine Learning Constitutive Model for Damage in Solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an"],"primary_cat":"physics.app-ph","authors_text":"Adrian Buganza Tepole, Amirhossein Amiri-Hezaveh","submitted_at":"2025-07-23T05:07:24Z","abstract_excerpt":"We propose a data-driven constitutive framework for anisotropic damage mechanics based on the second-order damage tensor approach for both compressible and incompressible materials. The formulation is thermodynamically consistent and satisfies the Clausius-Duhem inequality. The strain energy density potentials are expressed as isotropic functions of the right Cauchy-Green deformation tensor, along with structural tensors that encode anisotropy either present in the virgin material or resulting from damage. To guarantee the polyconvexity condition, non-decreasing convex neural networks with inp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.05638","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/2508.05638/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":"2026-07-05T11:50:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"keWuP37Vfxju0ct1jo/CAPEWggf5BQ3ZVKpcEjEztoUKTmOw/XZDx+96PmseJ5ju8e2zN3SmiUHjsidEL2SaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:39:35.713406Z"},"content_sha256":"b901ecb111b7315dd8d35ebfce7836ee6f0986e90fa4f7df33dcb524d78b72ea","schema_version":"1.0","event_id":"sha256:b901ecb111b7315dd8d35ebfce7836ee6f0986e90fa4f7df33dcb524d78b72ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QNXAEYVHV5EZ7JBA6FGPDWRSGH/bundle.json","state_url":"https://pith.science/pith/QNXAEYVHV5EZ7JBA6FGPDWRSGH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QNXAEYVHV5EZ7JBA6FGPDWRSGH/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":"2026-08-13T20:39:35Z","links":{"resolver":"https://pith.science/pith/QNXAEYVHV5EZ7JBA6FGPDWRSGH","bundle":"https://pith.science/pith/QNXAEYVHV5EZ7JBA6FGPDWRSGH/bundle.json","state":"https://pith.science/pith/QNXAEYVHV5EZ7JBA6FGPDWRSGH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QNXAEYVHV5EZ7JBA6FGPDWRSGH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QNXAEYVHV5EZ7JBA6FGPDWRSGH","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":"cfb3b83acf3be448b7ba5473ef625de93c006bfd5c0b474df50f10a4cf428afa","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2025-07-23T05:07:24Z","title_canon_sha256":"41870f03f5d31183e56cdd5f1ab7df4d5f51768f6e1d4c535a656d4f70357596"},"schema_version":"1.0","source":{"id":"2508.05638","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.05638","created_at":"2026-07-05T11:50:40Z"},{"alias_kind":"arxiv_version","alias_value":"2508.05638v1","created_at":"2026-07-05T11:50:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.05638","created_at":"2026-07-05T11:50:40Z"},{"alias_kind":"pith_short_12","alias_value":"QNXAEYVHV5EZ","created_at":"2026-07-05T11:50:40Z"},{"alias_kind":"pith_short_16","alias_value":"QNXAEYVHV5EZ7JBA","created_at":"2026-07-05T11:50:40Z"},{"alias_kind":"pith_short_8","alias_value":"QNXAEYVH","created_at":"2026-07-05T11:50:40Z"}],"graph_snapshots":[{"event_id":"sha256:b901ecb111b7315dd8d35ebfce7836ee6f0986e90fa4f7df33dcb524d78b72ea","target":"graph","created_at":"2026-07-05T11:50:40Z","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/2508.05638/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a data-driven constitutive framework for anisotropic damage mechanics based on the second-order damage tensor approach for both compressible and incompressible materials. The formulation is thermodynamically consistent and satisfies the Clausius-Duhem inequality. The strain energy density potentials are expressed as isotropic functions of the right Cauchy-Green deformation tensor, along with structural tensors that encode anisotropy either present in the virgin material or resulting from damage. To guarantee the polyconvexity condition, non-decreasing convex neural networks with inp","authors_text":"Adrian Buganza Tepole, Amirhossein Amiri-Hezaveh","cross_cats":["physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2025-07-23T05:07:24Z","title":"A Physics-Augmented Machine Learning Constitutive Model for Damage in Solids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.05638","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":"sha256:5987c65fbd065ca28ffe3280731e379d09736c9a751df429b40906459868adcd","target":"record","created_at":"2026-07-05T11:50:40Z","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":"cfb3b83acf3be448b7ba5473ef625de93c006bfd5c0b474df50f10a4cf428afa","cross_cats_sorted":["physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.app-ph","submitted_at":"2025-07-23T05:07:24Z","title_canon_sha256":"41870f03f5d31183e56cdd5f1ab7df4d5f51768f6e1d4c535a656d4f70357596"},"schema_version":"1.0","source":{"id":"2508.05638","kind":"arxiv","version":1}},"canonical_sha256":"836e0262a7af499fa420f14cf1da3231d0aa3ec04c4d5c0a7a110eafe4a396d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"836e0262a7af499fa420f14cf1da3231d0aa3ec04c4d5c0a7a110eafe4a396d3","first_computed_at":"2026-07-05T11:50:40.621846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:50:40.621846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wEySWES/JH6ZWDy2osBQ0rfgMS2rJXRwlwWOi68WQbayx7sa3f7oV5FXtgjwYv0Ydvv9LQgshUfZ22Al5Fl6AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:50:40.622331Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.05638","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5987c65fbd065ca28ffe3280731e379d09736c9a751df429b40906459868adcd","sha256:b901ecb111b7315dd8d35ebfce7836ee6f0986e90fa4f7df33dcb524d78b72ea"],"state_sha256":"6a04830a025228bd176072d69fb7d98d418de7ec31b329b8bc5109f20e345801"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7mRJIhlDDI+nqiMvtu2SVVcqgisKecHupZwrs7SdMVvkOFOjPx+3il30Rlm22yo10m6J2EnzZvNHTRPFlO6iCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T20:39:35.721380Z","bundle_sha256":"d96a7ba4faaa77e123584ac6b0a66c639f65381cd742f054ec33dbd29116f2d9"}}