{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:R6IZGEMKDBVKGHAUUVSFGR3L7V","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":"fcb0982cec12c17e9bd3a94ae98a08a713e171c4a8bbd04bb65b448cb52571de","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-05T00:47:35Z","title_canon_sha256":"0a10c8a6d80890ceb4c93dbcf5beb8211ec98216c0708b0639f5b3188ac59033"},"schema_version":"1.0","source":{"id":"1510.02008","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02008","created_at":"2026-05-18T01:30:49Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02008v1","created_at":"2026-05-18T01:30:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02008","created_at":"2026-05-18T01:30:49Z"},{"alias_kind":"pith_short_12","alias_value":"R6IZGEMKDBVK","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"R6IZGEMKDBVKGHAU","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"R6IZGEMK","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:8f963f23a94e3a716f78d3a124bdfeac5f157f4b26c2f2f81189693806c6a23e","target":"graph","created_at":"2026-05-18T01:30:49Z","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"},"paper":{"abstract_excerpt":"The two-dimensional transient problem that is studied concerns a semi-infinite crack in an isotropic solid comprising an infinite strip and a half-plane joined together and having the same elastic constants. The crack propagates along the interface at constant speed subject to time-independent loading. By means of the Laplace and Fourier transforms the problem is formulated as a vector Riemann-Hilbert problem. When the distance from the crack to the boundary grows to infinity the problem admits a closed-form solution. In the general case, a method of partial matrix factorization is proposed. I","authors_text":"A.V. Smirnov, Y.A. Antipov","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-05T00:47:35Z","title":"Fundamental solution and the weight functions of the transient problem on a semi-infinite crack propagating in a half-plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02008","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":"sha256:3e8a4767adb4b796adea9630735a6f2b82c69ccb7b1053f3d0b7c2f6e08db22d","target":"record","created_at":"2026-05-18T01:30:49Z","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":"fcb0982cec12c17e9bd3a94ae98a08a713e171c4a8bbd04bb65b448cb52571de","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-05T00:47:35Z","title_canon_sha256":"0a10c8a6d80890ceb4c93dbcf5beb8211ec98216c0708b0639f5b3188ac59033"},"schema_version":"1.0","source":{"id":"1510.02008","kind":"arxiv","version":1}},"canonical_sha256":"8f9193118a186aa31c14a56453476bfd401d5f455073cac61d73ecb1ade448c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f9193118a186aa31c14a56453476bfd401d5f455073cac61d73ecb1ade448c3","first_computed_at":"2026-05-18T01:30:49.896266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:49.896266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mRD5D/LvBmMH4ermrZP6Xu+AL6MAoU2d9NhTHc8XZrlcwPqfCLRJvhx3rw6PrQuZoFP5Id9oas2kiYnzNIBgDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:49.896736Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02008","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e8a4767adb4b796adea9630735a6f2b82c69ccb7b1053f3d0b7c2f6e08db22d","sha256:8f963f23a94e3a716f78d3a124bdfeac5f157f4b26c2f2f81189693806c6a23e"],"state_sha256":"fab19ea047794ded3203ab347a2cfcccf696ac29e363e4b9b31f331a89bfee30"}