{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BFAALWPKWXGWBBGZQMVV2XIWSP","short_pith_number":"pith:BFAALWPK","canonical_record":{"source":{"id":"1412.8593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-30T09:37:09Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"a8d7e9baf15b201621300db33cd14052cef851295b7f4a1bb355614a215c16f4","abstract_canon_sha256":"ac0c1f18e84c9d8070c4c41e7ad411d7ead8aa6a2a472710a18f04ff12b9a6d5"},"schema_version":"1.0"},"canonical_sha256":"094005d9eab5cd6084d9832b5d5d1693c45d5080aa3091590db8f2fde9448d12","source":{"kind":"arxiv","id":"1412.8593","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.8593","created_at":"2026-05-18T02:30:16Z"},{"alias_kind":"arxiv_version","alias_value":"1412.8593v1","created_at":"2026-05-18T02:30:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8593","created_at":"2026-05-18T02:30:16Z"},{"alias_kind":"pith_short_12","alias_value":"BFAALWPKWXGW","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BFAALWPKWXGWBBGZ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BFAALWPK","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BFAALWPKWXGWBBGZQMVV2XIWSP","target":"record","payload":{"canonical_record":{"source":{"id":"1412.8593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-30T09:37:09Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"a8d7e9baf15b201621300db33cd14052cef851295b7f4a1bb355614a215c16f4","abstract_canon_sha256":"ac0c1f18e84c9d8070c4c41e7ad411d7ead8aa6a2a472710a18f04ff12b9a6d5"},"schema_version":"1.0"},"canonical_sha256":"094005d9eab5cd6084d9832b5d5d1693c45d5080aa3091590db8f2fde9448d12","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:16.934481Z","signature_b64":"8MpaE7blN6fvCIb76V6WCQACXXuUhYU0mxWrw5syZfOVhLevB3+WbM7HgwDScxfqay2Iv7N3+5Tcdkl4z+XJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"094005d9eab5cd6084d9832b5d5d1693c45d5080aa3091590db8f2fde9448d12","last_reissued_at":"2026-05-18T02:30:16.934035Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:16.934035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.8593","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":"2026-05-18T02:30:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L+WV+9Iz8qy/9Q95vpQLLwCJngvZ9UOcpx1Zz/LXvnsGS6Stfn4CR5vaHMy+eJ0TQ/RxJ6li1izez2GGyD3eDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:24:30.688390Z"},"content_sha256":"8a1bc6c542317e8c6c86c064af25a357ed36bafc78a383389e8f2e4e6e553c2c","schema_version":"1.0","event_id":"sha256:8a1bc6c542317e8c6c86c064af25a357ed36bafc78a383389e8f2e4e6e553c2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BFAALWPKWXGWBBGZQMVV2XIWSP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local-solution approach to quasistatic rate-independent mixed-mode delamination","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.AP","authors_text":"Christos Panagiotopoulos, Tomas Roubicek, Vladislav Mantic","submitted_at":"2014-12-30T09:37:09Z","abstract_excerpt":"The quasistatic rate-independent evolution of a delamination at small strains in the so-called mixed mode, i.e.~distinguishing opening (Mode I) from shearing (Mode II) is rigorously analyzed in the context of a concept of stress-driven local solutions. The model has separately convex stored energy and is associative, namely the 1-homogeneous potential of dissipative force driving the delamination depends only on rates of internal parameters. An efficient fractional-step-type semi-implicit discretisation in time is shown to converge to specific, stress-driven like) local solutions that may appr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8593","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:30:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"va8VlH+pLVZc+V3y9PgAC0uRW5Gou8FsfGKhpbn1C95LsOZftqVeWgR8MHOvPLdyZyjmIdeTInaBY7v/mabQBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:24:30.688742Z"},"content_sha256":"40898eb4af5037cf552956449e394865eeceb13ab217eda13ba45a33213bb58f","schema_version":"1.0","event_id":"sha256:40898eb4af5037cf552956449e394865eeceb13ab217eda13ba45a33213bb58f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BFAALWPKWXGWBBGZQMVV2XIWSP/bundle.json","state_url":"https://pith.science/pith/BFAALWPKWXGWBBGZQMVV2XIWSP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BFAALWPKWXGWBBGZQMVV2XIWSP/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":"2026-06-03T20:24:30Z","links":{"resolver":"https://pith.science/pith/BFAALWPKWXGWBBGZQMVV2XIWSP","bundle":"https://pith.science/pith/BFAALWPKWXGWBBGZQMVV2XIWSP/bundle.json","state":"https://pith.science/pith/BFAALWPKWXGWBBGZQMVV2XIWSP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BFAALWPKWXGWBBGZQMVV2XIWSP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BFAALWPKWXGWBBGZQMVV2XIWSP","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":"ac0c1f18e84c9d8070c4c41e7ad411d7ead8aa6a2a472710a18f04ff12b9a6d5","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-30T09:37:09Z","title_canon_sha256":"a8d7e9baf15b201621300db33cd14052cef851295b7f4a1bb355614a215c16f4"},"schema_version":"1.0","source":{"id":"1412.8593","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.8593","created_at":"2026-05-18T02:30:16Z"},{"alias_kind":"arxiv_version","alias_value":"1412.8593v1","created_at":"2026-05-18T02:30:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.8593","created_at":"2026-05-18T02:30:16Z"},{"alias_kind":"pith_short_12","alias_value":"BFAALWPKWXGW","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BFAALWPKWXGWBBGZ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BFAALWPK","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:40898eb4af5037cf552956449e394865eeceb13ab217eda13ba45a33213bb58f","target":"graph","created_at":"2026-05-18T02:30:16Z","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 quasistatic rate-independent evolution of a delamination at small strains in the so-called mixed mode, i.e.~distinguishing opening (Mode I) from shearing (Mode II) is rigorously analyzed in the context of a concept of stress-driven local solutions. The model has separately convex stored energy and is associative, namely the 1-homogeneous potential of dissipative force driving the delamination depends only on rates of internal parameters. An efficient fractional-step-type semi-implicit discretisation in time is shown to converge to specific, stress-driven like) local solutions that may appr","authors_text":"Christos Panagiotopoulos, Tomas Roubicek, Vladislav Mantic","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-30T09:37:09Z","title":"Local-solution approach to quasistatic rate-independent mixed-mode delamination"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.8593","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":"sha256:8a1bc6c542317e8c6c86c064af25a357ed36bafc78a383389e8f2e4e6e553c2c","target":"record","created_at":"2026-05-18T02:30:16Z","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":"ac0c1f18e84c9d8070c4c41e7ad411d7ead8aa6a2a472710a18f04ff12b9a6d5","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-12-30T09:37:09Z","title_canon_sha256":"a8d7e9baf15b201621300db33cd14052cef851295b7f4a1bb355614a215c16f4"},"schema_version":"1.0","source":{"id":"1412.8593","kind":"arxiv","version":1}},"canonical_sha256":"094005d9eab5cd6084d9832b5d5d1693c45d5080aa3091590db8f2fde9448d12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"094005d9eab5cd6084d9832b5d5d1693c45d5080aa3091590db8f2fde9448d12","first_computed_at":"2026-05-18T02:30:16.934035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:16.934035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8MpaE7blN6fvCIb76V6WCQACXXuUhYU0mxWrw5syZfOVhLevB3+WbM7HgwDScxfqay2Iv7N3+5Tcdkl4z+XJDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:16.934481Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.8593","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a1bc6c542317e8c6c86c064af25a357ed36bafc78a383389e8f2e4e6e553c2c","sha256:40898eb4af5037cf552956449e394865eeceb13ab217eda13ba45a33213bb58f"],"state_sha256":"7b560a756f4a2c0a34a60c7c88c67eab4ade98a4a03181705fe6b0efa977c9a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6VonLu+PHsi2vls6D9eEUINx70yMeNbwnpVaWza1QrY00uy5uZLK54FxhTuuJz/cU9yXsrgvSakqQVGppLHrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:24:30.690749Z","bundle_sha256":"96a18dd824c5b985985ad2f0d5e149c0df53ffebe1e90832a5251b80f9b437d0"}}