{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:263HJBJE3EAPY6SEGZ7K2WZL6X","short_pith_number":"pith:263HJBJE","canonical_record":{"source":{"id":"2605.13682","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-05-13T15:39:34Z","cross_cats_sorted":[],"title_canon_sha256":"8a1509a5f43648fe75f2126298ff257dbcc81761492848eab250ae7d298b4092","abstract_canon_sha256":"f4f4d82b75f82351915d2806d56dde6d054af61389b24867b073cefd82589d96"},"schema_version":"1.0"},"canonical_sha256":"d7b6748524d900fc7a44367ead5b2bf5ce418b1e4a8c62b2dcd05a7feedf7f8e","source":{"kind":"arxiv","id":"2605.13682","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13682","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13682v1","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13682","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"pith_short_12","alias_value":"263HJBJE3EAP","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"263HJBJE3EAPY6SE","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"263HJBJE","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:263HJBJE3EAPY6SEGZ7K2WZL6X","target":"record","payload":{"canonical_record":{"source":{"id":"2605.13682","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-05-13T15:39:34Z","cross_cats_sorted":[],"title_canon_sha256":"8a1509a5f43648fe75f2126298ff257dbcc81761492848eab250ae7d298b4092","abstract_canon_sha256":"f4f4d82b75f82351915d2806d56dde6d054af61389b24867b073cefd82589d96"},"schema_version":"1.0"},"canonical_sha256":"d7b6748524d900fc7a44367ead5b2bf5ce418b1e4a8c62b2dcd05a7feedf7f8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:17.025029Z","signature_b64":"NJGeRuJS+KtMKUJ7sh5fIMiMlhQKg93p5A3NKQYLqbZ4vKAbgt93LAPuoiFFBcC/U1Dtr4TyuUO3AfUMh+lWCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7b6748524d900fc7a44367ead5b2bf5ce418b1e4a8c62b2dcd05a7feedf7f8e","last_reissued_at":"2026-05-18T02:44:17.024594Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:17.024594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.13682","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":"2026-05-18T02:44:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3DUhL3JlXedOCWI0VEDVOEqZDMlSzFaeM+yKnRliNwiumJJ34OQ1YicG9ywtfxM3WUztxyi1ayLsCqcz/IBvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:07:52.329800Z"},"content_sha256":"868a4c896b26101a6e6a53f579ea83f5f85b8931ac278de3c39bd1d815ed68df","schema_version":"1.0","event_id":"sha256:868a4c896b26101a6e6a53f579ea83f5f85b8931ac278de3c39bd1d815ed68df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:263HJBJE3EAPY6SEGZ7K2WZL6X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theory of fracture initiation and propagation in viscoelastic media","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"A variational framework based on the principle of virtual work predicts the delay time before cracks initiate in viscoelastic materials under arbitrary loads.","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Cosimo Mandriotab, Giuseppe Carbonea, Guido Violanob, Luciano Afferrante, Nicola Menga","submitted_at":"2026-05-13T15:39:34Z","abstract_excerpt":"Crack initiation and propagation are fundamental problems in materials science, often leading to catastrophic failure. While fracture in elastic solids occurs instantaneously above a critical load, viscoelastic materials may sustain high loads for a finite time before cracks start to propagate. This phenomenon, known as delayed fracture, has been widely observed experimentally but is still only partially understood theoretically. In this study, we present a rigorous framework based on the Lagrange--d'Alembert principle of virtual work (PVW) to predict both the viscoelastic delay time and the s"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We present a rigorous framework based on the Lagrange--d'Alembert principle of virtual work (PVW) to predict both the viscoelastic delay time and the subsequent crack evolution under arbitrary loading histories. ... We also present, for the first time, a rigorous J-integral formulation valid for linear viscoelastic solids under arbitrary, time-varying loading histories. The result restores path independence and yields a generalized Griffith criterion that naturally predicts delayed fracture initiation in non-conservative materials. Remarkably, fracture initiation can be described without specifying the detailed stress distribution within the process zone, as long as it remains small relative to the crack length.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"Fracture initiation can be described without specifying the detailed stress distribution within the process zone, as long as it remains small relative to the crack length.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A PVW-based framework predicts viscoelastic crack delay times and crack evolution under arbitrary loads while introducing a path-independent J-integral that yields a generalized Griffith criterion for delayed fracture.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A variational framework based on the principle of virtual work predicts the delay time before cracks initiate in viscoelastic materials under arbitrary loads.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"f7822bf2edb09893291da3dad03bd29e2eb8067d42c9229a32f2a0c75dea5ed9"},"source":{"id":"2605.13682","kind":"arxiv","version":1},"verdict":{"id":"c9f4c9ab-a059-47c4-ba24-997889a1c5e2","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T17:43:03.556761Z","strongest_claim":"We present a rigorous framework based on the Lagrange--d'Alembert principle of virtual work (PVW) to predict both the viscoelastic delay time and the subsequent crack evolution under arbitrary loading histories. ... We also present, for the first time, a rigorous J-integral formulation valid for linear viscoelastic solids under arbitrary, time-varying loading histories. The result restores path independence and yields a generalized Griffith criterion that naturally predicts delayed fracture initiation in non-conservative materials. Remarkably, fracture initiation can be described without specifying the detailed stress distribution within the process zone, as long as it remains small relative to the crack length.","one_line_summary":"A PVW-based framework predicts viscoelastic crack delay times and crack evolution under arbitrary loads while introducing a path-independent J-integral that yields a generalized Griffith criterion for delayed fracture.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"Fracture initiation can be described without specifying the detailed stress distribution within the process zone, as long as it remains small relative to the crack length.","pith_extraction_headline":"A variational framework based on the principle of virtual work predicts the delay time before cracks initiate in viscoelastic materials under arbitrary loads."},"references":{"count":93,"sample":[{"doi":"10.1016/j.jmps.2021.104669","year":2022,"title":"On the effective surface energy in viscoelastic hertzian contacts","work_id":"48ba8fa4-08e0-4128-9719-938c3dda12db","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Ateshian, G.A., Kroupa, K., Petersen, C.A., Zimmerman, B., Maas, S.A., Weiss, J.A.,","work_id":"290eeae3-5615-4564-ad3f-7db25096a5fd","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1115/1.4056063","year":null,"title":"Journal of Biomechanical Engineering URL:http://dx.doi.org/10.1115/1.4056063, doi:10.1 115/1.4056063","work_id":"42fc5fee-6789-4a90-8fe1-6f5c2e6ed75d","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1016/j.pmatsci.2","year":2016,"title":"Cracks, microcracks and fracture in polymer structures: Formation, detection, autonomic repair","work_id":"33a4bb69-fb70-4aef-b77b-8b33054e6835","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1016/s1043-4526(08)6","year":1996,"title":"The Rheology of Semiliq- uid Foods","work_id":"b78d9054-eb1d-417f-b0dc-42e63ef72bea","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":93,"snapshot_sha256":"b06c4cd013a82c5e51e21ea34feddab4930971583782532f711abaab612d685d","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"e9107ce6445382cce40cccf86168295083da1e2c51f73535db5424932aab1632"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"c9f4c9ab-a059-47c4-ba24-997889a1c5e2"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wUcVAFDEZ5qAQEP9pg1ry8kOpaNPv/0QbUyX7Q+z7USzYfNwByNc5q4XOE39cH87nQpYoJWaTkfTkKBzTsxsDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:07:52.330361Z"},"content_sha256":"24446f5f308826abf8ad056d0e8b04983e8b37d52ace898ab5c5032d348bbd64","schema_version":"1.0","event_id":"sha256:24446f5f308826abf8ad056d0e8b04983e8b37d52ace898ab5c5032d348bbd64"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:263HJBJE3EAPY6SEGZ7K2WZL6X","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1016/0020-7683(73)90009-8) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"Nilsson, F., 1973. A path-independent integral for transient crack problems. Interna- tional Journal of Solids and Structures 9, 1107–1115. doi:10.1016/0020-7683(73)900 09-8","arxiv_id":"2605.13682","detector":"doi_compliance","evidence":{"ref_index":62,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"Nilsson, F., 1973. A path-independent integral for transient crack problems. Interna- tional Journal of Solids and Structures 9, 1107–1115. doi:10.1016/0020-7683(73)900 09-8","reconstructed_doi":"10.1016/0020-7683(73)90009-8"},"severity":"advisory","ref_index":62,"audited_at":"2026-05-19T06:19:18.916767Z","event_type":"pith.integrity.v1","detected_doi":"10.1016/0020-7683(73)90009-8","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"fec24e6782472baa475a9890b3b552f9377b918d14a75ef2cdc3392234435732","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":114,"payload_sha256":"ff77618d4a36daf4ecf2839f99032b3cd0fc3c70d0763802fe6acda638db195a","signature_b64":"rFRMHm9GGRI2r/m8e8y7Ut5Q0Zr7eXypX/fG0Fy+MScOrkWEypmFESCabBOs+eZvhkAH7MIvhMXxkItjeF8BCg==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-19T06:21:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NLhnnSa59HvphwrI2hOyGZUfovY4IVoejHdzteTTxx74Lux7S6o8jy7f8Mj7UUS7rTvMQyJbdAQ8Z4iPXsJMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T19:07:52.331257Z"},"content_sha256":"bd7d4c8161181246bf1cd206e7fb3cc801bebfa0135e254a2489eb6b54899161","schema_version":"1.0","event_id":"sha256:bd7d4c8161181246bf1cd206e7fb3cc801bebfa0135e254a2489eb6b54899161"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/263HJBJE3EAPY6SEGZ7K2WZL6X/bundle.json","state_url":"https://pith.science/pith/263HJBJE3EAPY6SEGZ7K2WZL6X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/263HJBJE3EAPY6SEGZ7K2WZL6X/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":"2026-05-21T19:07:52Z","links":{"resolver":"https://pith.science/pith/263HJBJE3EAPY6SEGZ7K2WZL6X","bundle":"https://pith.science/pith/263HJBJE3EAPY6SEGZ7K2WZL6X/bundle.json","state":"https://pith.science/pith/263HJBJE3EAPY6SEGZ7K2WZL6X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/263HJBJE3EAPY6SEGZ7K2WZL6X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:263HJBJE3EAPY6SEGZ7K2WZL6X","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f4f4d82b75f82351915d2806d56dde6d054af61389b24867b073cefd82589d96","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-05-13T15:39:34Z","title_canon_sha256":"8a1509a5f43648fe75f2126298ff257dbcc81761492848eab250ae7d298b4092"},"schema_version":"1.0","source":{"id":"2605.13682","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13682","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13682v1","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13682","created_at":"2026-05-18T02:44:17Z"},{"alias_kind":"pith_short_12","alias_value":"263HJBJE3EAP","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"263HJBJE3EAPY6SE","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"263HJBJE","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:24446f5f308826abf8ad056d0e8b04983e8b37d52ace898ab5c5032d348bbd64","target":"graph","created_at":"2026-05-18T02:44:17Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We present a rigorous framework based on the Lagrange--d'Alembert principle of virtual work (PVW) to predict both the viscoelastic delay time and the subsequent crack evolution under arbitrary loading histories. ... We also present, for the first time, a rigorous J-integral formulation valid for linear viscoelastic solids under arbitrary, time-varying loading histories. The result restores path independence and yields a generalized Griffith criterion that naturally predicts delayed fracture initiation in non-conservative materials. Remarkably, fracture initiation can be described without specifying the detailed stress distribution within the process zone, as long as it remains small relative to the crack length."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"Fracture initiation can be described without specifying the detailed stress distribution within the process zone, as long as it remains small relative to the crack length."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"A PVW-based framework predicts viscoelastic crack delay times and crack evolution under arbitrary loads while introducing a path-independent J-integral that yields a generalized Griffith criterion for delayed fracture."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A variational framework based on the principle of virtual work predicts the delay time before cracks initiate in viscoelastic materials under arbitrary loads."}],"snapshot_sha256":"f7822bf2edb09893291da3dad03bd29e2eb8067d42c9229a32f2a0c75dea5ed9"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"e9107ce6445382cce40cccf86168295083da1e2c51f73535db5424932aab1632"},"paper":{"abstract_excerpt":"Crack initiation and propagation are fundamental problems in materials science, often leading to catastrophic failure. While fracture in elastic solids occurs instantaneously above a critical load, viscoelastic materials may sustain high loads for a finite time before cracks start to propagate. This phenomenon, known as delayed fracture, has been widely observed experimentally but is still only partially understood theoretically. In this study, we present a rigorous framework based on the Lagrange--d'Alembert principle of virtual work (PVW) to predict both the viscoelastic delay time and the s","authors_text":"Cosimo Mandriotab, Giuseppe Carbonea, Guido Violanob, Luciano Afferrante, Nicola Menga","cross_cats":[],"headline":"A variational framework based on the principle of virtual work predicts the delay time before cracks initiate in viscoelastic materials under arbitrary loads.","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-05-13T15:39:34Z","title":"Theory of fracture initiation and propagation in viscoelastic media"},"references":{"count":93,"internal_anchors":0,"resolved_work":93,"sample":[{"cited_arxiv_id":"","doi":"10.1016/j.jmps.2021.104669","is_internal_anchor":false,"ref_index":1,"title":"On the effective surface energy in viscoelastic hertzian contacts","work_id":"48ba8fa4-08e0-4128-9719-938c3dda12db","year":2022},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Ateshian, G.A., Kroupa, K., Petersen, C.A., Zimmerman, B., Maas, S.A., Weiss, J.A.,","work_id":"290eeae3-5615-4564-ad3f-7db25096a5fd","year":null},{"cited_arxiv_id":"","doi":"10.1115/1.4056063","is_internal_anchor":false,"ref_index":3,"title":"Journal of Biomechanical Engineering URL:http://dx.doi.org/10.1115/1.4056063, doi:10.1 115/1.4056063","work_id":"42fc5fee-6789-4a90-8fe1-6f5c2e6ed75d","year":null},{"cited_arxiv_id":"","doi":"10.1016/j.pmatsci.2","is_internal_anchor":false,"ref_index":4,"title":"Cracks, microcracks and fracture in polymer structures: Formation, detection, autonomic repair","work_id":"33a4bb69-fb70-4aef-b77b-8b33054e6835","year":2016},{"cited_arxiv_id":"","doi":"10.1016/s1043-4526(08)6","is_internal_anchor":false,"ref_index":5,"title":"The Rheology of Semiliq- uid Foods","work_id":"b78d9054-eb1d-417f-b0dc-42e63ef72bea","year":1996}],"snapshot_sha256":"b06c4cd013a82c5e51e21ea34feddab4930971583782532f711abaab612d685d"},"source":{"id":"2605.13682","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T17:43:03.556761Z","id":"c9f4c9ab-a059-47c4-ba24-997889a1c5e2","model_set":{"reader":"grok-4.3"},"one_line_summary":"A PVW-based framework predicts viscoelastic crack delay times and crack evolution under arbitrary loads while introducing a path-independent J-integral that yields a generalized Griffith criterion for delayed fracture.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A variational framework based on the principle of virtual work predicts the delay time before cracks initiate in viscoelastic materials under arbitrary loads.","strongest_claim":"We present a rigorous framework based on the Lagrange--d'Alembert principle of virtual work (PVW) to predict both the viscoelastic delay time and the subsequent crack evolution under arbitrary loading histories. ... We also present, for the first time, a rigorous J-integral formulation valid for linear viscoelastic solids under arbitrary, time-varying loading histories. The result restores path independence and yields a generalized Griffith criterion that naturally predicts delayed fracture initiation in non-conservative materials. Remarkably, fracture initiation can be described without specifying the detailed stress distribution within the process zone, as long as it remains small relative to the crack length.","weakest_assumption":"Fracture initiation can be described without specifying the detailed stress distribution within the process zone, as long as it remains small relative to the crack length."}},"verdict_id":"c9f4c9ab-a059-47c4-ba24-997889a1c5e2"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:868a4c896b26101a6e6a53f579ea83f5f85b8931ac278de3c39bd1d815ed68df","target":"record","created_at":"2026-05-18T02:44:17Z","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":"f4f4d82b75f82351915d2806d56dde6d054af61389b24867b073cefd82589d96","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-05-13T15:39:34Z","title_canon_sha256":"8a1509a5f43648fe75f2126298ff257dbcc81761492848eab250ae7d298b4092"},"schema_version":"1.0","source":{"id":"2605.13682","kind":"arxiv","version":1}},"canonical_sha256":"d7b6748524d900fc7a44367ead5b2bf5ce418b1e4a8c62b2dcd05a7feedf7f8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7b6748524d900fc7a44367ead5b2bf5ce418b1e4a8c62b2dcd05a7feedf7f8e","first_computed_at":"2026-05-18T02:44:17.024594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:17.024594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NJGeRuJS+KtMKUJ7sh5fIMiMlhQKg93p5A3NKQYLqbZ4vKAbgt93LAPuoiFFBcC/U1Dtr4TyuUO3AfUMh+lWCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:17.025029Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.13682","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:868a4c896b26101a6e6a53f579ea83f5f85b8931ac278de3c39bd1d815ed68df","sha256:24446f5f308826abf8ad056d0e8b04983e8b37d52ace898ab5c5032d348bbd64","sha256:bd7d4c8161181246bf1cd206e7fb3cc801bebfa0135e254a2489eb6b54899161"],"state_sha256":"bcd587fd7998e16774a1a5374541dc654562071b78844fcc56ad362450fc1eec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0mySEfpDtl5MOjPGa3yBXh38v3lQ1rfzyjJGqgbELorTEU9MlA/+GkrmcSxk548phUZ8i3BKQk9j9bD2apQWCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T19:07:52.333703Z","bundle_sha256":"a4225b6d659780199f24bc4ab3349a9dc995bed289f6395ebb61af696bfdef20"}}