{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:X5DSPA2EFDVPRS5MKCKLUOSK7F","short_pith_number":"pith:X5DSPA2E","schema_version":"1.0","canonical_sha256":"bf4727834428eaf8cbac5094ba3a4af97f02876f8a3407a481dfd4561c64b3f5","source":{"kind":"arxiv","id":"1802.04098","version":1},"attestation_state":"computed","paper":{"title":"Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Gianluca Orlando, Giuliano Lazzaroni, Vito Crismale","submitted_at":"2018-02-08T18:25:19Z","abstract_excerpt":"In this paper we prove the existence of quasistatic evolutions for a cohesive fracture on a prescribed crack surface, in small-strain antiplane elasticity. The main feature of the model is that the density of the energy dissipated in the fracture process depends on the total variation of the amplitude of the jump. Thus, any change in the crack opening entails a loss of energy, until the crack is complete. In particular this implies a fatigue phenomenon, i.e., a complete fracture may be produced by oscillation of small jumps.\n  The first step of the existence proof is the construction of approx"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1802.04098","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-08T18:25:19Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"b81c6a225c83a52daa74120fea182976853ef614b59ce1b33ead7253d3b52b63","abstract_canon_sha256":"871f22fc4c6f5bc662d9b292d5262b6c01c9298ce0959a7491c976bdb4cb0979"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:46.859107Z","signature_b64":"YP/eWvsEUQ/d6q0mOA0gUjRnTi2RCsyBgTIRhUYt4+Q4nOtvA3oRw8J/uCJvb+h1hhAKCJma2juCJ9jGaMhCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf4727834428eaf8cbac5094ba3a4af97f02876f8a3407a481dfd4561c64b3f5","last_reissued_at":"2026-05-18T00:23:46.858641Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:46.858641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Gianluca Orlando, Giuliano Lazzaroni, Vito Crismale","submitted_at":"2018-02-08T18:25:19Z","abstract_excerpt":"In this paper we prove the existence of quasistatic evolutions for a cohesive fracture on a prescribed crack surface, in small-strain antiplane elasticity. The main feature of the model is that the density of the energy dissipated in the fracture process depends on the total variation of the amplitude of the jump. Thus, any change in the crack opening entails a loss of energy, until the crack is complete. In particular this implies a fatigue phenomenon, i.e., a complete fracture may be produced by oscillation of small jumps.\n  The first step of the existence proof is the construction of approx"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04098","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1802.04098","created_at":"2026-05-18T00:23:46.858694+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.04098v1","created_at":"2026-05-18T00:23:46.858694+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04098","created_at":"2026-05-18T00:23:46.858694+00:00"},{"alias_kind":"pith_short_12","alias_value":"X5DSPA2EFDVP","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"X5DSPA2EFDVPRS5M","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"X5DSPA2E","created_at":"2026-05-18T12:33:01.666342+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X5DSPA2EFDVPRS5MKCKLUOSK7F","json":"https://pith.science/pith/X5DSPA2EFDVPRS5MKCKLUOSK7F.json","graph_json":"https://pith.science/api/pith-number/X5DSPA2EFDVPRS5MKCKLUOSK7F/graph.json","events_json":"https://pith.science/api/pith-number/X5DSPA2EFDVPRS5MKCKLUOSK7F/events.json","paper":"https://pith.science/paper/X5DSPA2E"},"agent_actions":{"view_html":"https://pith.science/pith/X5DSPA2EFDVPRS5MKCKLUOSK7F","download_json":"https://pith.science/pith/X5DSPA2EFDVPRS5MKCKLUOSK7F.json","view_paper":"https://pith.science/paper/X5DSPA2E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.04098&json=true","fetch_graph":"https://pith.science/api/pith-number/X5DSPA2EFDVPRS5MKCKLUOSK7F/graph.json","fetch_events":"https://pith.science/api/pith-number/X5DSPA2EFDVPRS5MKCKLUOSK7F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X5DSPA2EFDVPRS5MKCKLUOSK7F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X5DSPA2EFDVPRS5MKCKLUOSK7F/action/storage_attestation","attest_author":"https://pith.science/pith/X5DSPA2EFDVPRS5MKCKLUOSK7F/action/author_attestation","sign_citation":"https://pith.science/pith/X5DSPA2EFDVPRS5MKCKLUOSK7F/action/citation_signature","submit_replication":"https://pith.science/pith/X5DSPA2EFDVPRS5MKCKLUOSK7F/action/replication_record"}},"created_at":"2026-05-18T00:23:46.858694+00:00","updated_at":"2026-05-18T00:23:46.858694+00:00"}