{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7YSM3EWO22KR7CSMQ7YLFLJ5H7","short_pith_number":"pith:7YSM3EWO","canonical_record":{"source":{"id":"1407.8313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-31T08:39:50Z","cross_cats_sorted":[],"title_canon_sha256":"dab06e584e5a6a05a6e5472e7645147df64aa78ce4b11fc104c7ce5dd16c9260","abstract_canon_sha256":"86bbedc4433ede65831c5ce192b34bad4e1a69e1bc460d40661c97935f94bf3f"},"schema_version":"1.0"},"canonical_sha256":"fe24cd92ced6951f8a4c87f0b2ad3d3fe2e37cb95abc87fd57db6245abaad653","source":{"kind":"arxiv","id":"1407.8313","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.8313","created_at":"2026-05-18T01:42:26Z"},{"alias_kind":"arxiv_version","alias_value":"1407.8313v1","created_at":"2026-05-18T01:42:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8313","created_at":"2026-05-18T01:42:26Z"},{"alias_kind":"pith_short_12","alias_value":"7YSM3EWO22KR","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7YSM3EWO22KR7CSM","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7YSM3EWO","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7YSM3EWO22KR7CSMQ7YLFLJ5H7","target":"record","payload":{"canonical_record":{"source":{"id":"1407.8313","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-31T08:39:50Z","cross_cats_sorted":[],"title_canon_sha256":"dab06e584e5a6a05a6e5472e7645147df64aa78ce4b11fc104c7ce5dd16c9260","abstract_canon_sha256":"86bbedc4433ede65831c5ce192b34bad4e1a69e1bc460d40661c97935f94bf3f"},"schema_version":"1.0"},"canonical_sha256":"fe24cd92ced6951f8a4c87f0b2ad3d3fe2e37cb95abc87fd57db6245abaad653","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:26.915853Z","signature_b64":"aiBu8wry46d92Jznduyy3A4KOrNIcM8AXGe6KlNvYOAjpSET8zwqNDgvnEmstaulq8ovLV/UmwP2UtLzx+G8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe24cd92ced6951f8a4c87f0b2ad3d3fe2e37cb95abc87fd57db6245abaad653","last_reissued_at":"2026-05-18T01:42:26.915310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:26.915310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.8313","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":"2026-05-18T01:42:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kn6MjQ9a+5002cEvcw7hDMO/wlPh89a1b1BeLtMDN8wfPuIXcuwAYdEZNgx8X08EQ4j4nunTTELN798ATxy4Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T02:59:26.290727Z"},"content_sha256":"fd606bf87b1ee128e96bf5c93e64906ad58dd6fab6603aced5afde203d587036","schema_version":"1.0","event_id":"sha256:fd606bf87b1ee128e96bf5c93e64906ad58dd6fab6603aced5afde203d587036"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7YSM3EWO22KR7CSMQ7YLFLJ5H7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Isogeometric mortar methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Annalisa Buffa, Barbara Wohlmuth, Ericka Brivadis, Linus Wunderlich","submitted_at":"2014-07-31T08:39:50Z","abstract_excerpt":"The application of mortar methods in the framework of isogeometric analysis is investigated theoretically as well as numerically. For the Lagrange multiplier two choices of uniformly stable spaces are presented, both of them are spline spaces but of a different degree.\n  In one case, we consider an equal order pairing for which a cross point modification based on a local degree reduction is required. In the other case, the degree of the dual space is reduced by two compared to the primal. This pairing is proven to be inf-sup stable without any necessary cross point modification. Several numeri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8313","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":"2026-05-18T01:42:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dtl0NjxMItDY7IBnZSisevNgBRJR2y41+aesij/YInSMxcA5rP+uld63zq+k9BA4sddkrXdNMBZldOItpjMXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T02:59:26.291067Z"},"content_sha256":"befde4691cdc830ac1f4c88236c79809e8654995dc08f572c87a57df51ace108","schema_version":"1.0","event_id":"sha256:befde4691cdc830ac1f4c88236c79809e8654995dc08f572c87a57df51ace108"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7YSM3EWO22KR7CSMQ7YLFLJ5H7/bundle.json","state_url":"https://pith.science/pith/7YSM3EWO22KR7CSMQ7YLFLJ5H7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7YSM3EWO22KR7CSMQ7YLFLJ5H7/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":"2026-06-20T02:59:26Z","links":{"resolver":"https://pith.science/pith/7YSM3EWO22KR7CSMQ7YLFLJ5H7","bundle":"https://pith.science/pith/7YSM3EWO22KR7CSMQ7YLFLJ5H7/bundle.json","state":"https://pith.science/pith/7YSM3EWO22KR7CSMQ7YLFLJ5H7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7YSM3EWO22KR7CSMQ7YLFLJ5H7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7YSM3EWO22KR7CSMQ7YLFLJ5H7","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":"86bbedc4433ede65831c5ce192b34bad4e1a69e1bc460d40661c97935f94bf3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-31T08:39:50Z","title_canon_sha256":"dab06e584e5a6a05a6e5472e7645147df64aa78ce4b11fc104c7ce5dd16c9260"},"schema_version":"1.0","source":{"id":"1407.8313","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.8313","created_at":"2026-05-18T01:42:26Z"},{"alias_kind":"arxiv_version","alias_value":"1407.8313v1","created_at":"2026-05-18T01:42:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8313","created_at":"2026-05-18T01:42:26Z"},{"alias_kind":"pith_short_12","alias_value":"7YSM3EWO22KR","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7YSM3EWO22KR7CSM","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7YSM3EWO","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:befde4691cdc830ac1f4c88236c79809e8654995dc08f572c87a57df51ace108","target":"graph","created_at":"2026-05-18T01:42:26Z","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 application of mortar methods in the framework of isogeometric analysis is investigated theoretically as well as numerically. For the Lagrange multiplier two choices of uniformly stable spaces are presented, both of them are spline spaces but of a different degree.\n  In one case, we consider an equal order pairing for which a cross point modification based on a local degree reduction is required. In the other case, the degree of the dual space is reduced by two compared to the primal. This pairing is proven to be inf-sup stable without any necessary cross point modification. Several numeri","authors_text":"Annalisa Buffa, Barbara Wohlmuth, Ericka Brivadis, Linus Wunderlich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-31T08:39:50Z","title":"Isogeometric mortar methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8313","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:fd606bf87b1ee128e96bf5c93e64906ad58dd6fab6603aced5afde203d587036","target":"record","created_at":"2026-05-18T01:42:26Z","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":"86bbedc4433ede65831c5ce192b34bad4e1a69e1bc460d40661c97935f94bf3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-07-31T08:39:50Z","title_canon_sha256":"dab06e584e5a6a05a6e5472e7645147df64aa78ce4b11fc104c7ce5dd16c9260"},"schema_version":"1.0","source":{"id":"1407.8313","kind":"arxiv","version":1}},"canonical_sha256":"fe24cd92ced6951f8a4c87f0b2ad3d3fe2e37cb95abc87fd57db6245abaad653","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe24cd92ced6951f8a4c87f0b2ad3d3fe2e37cb95abc87fd57db6245abaad653","first_computed_at":"2026-05-18T01:42:26.915310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:42:26.915310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aiBu8wry46d92Jznduyy3A4KOrNIcM8AXGe6KlNvYOAjpSET8zwqNDgvnEmstaulq8ovLV/UmwP2UtLzx+G8CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:42:26.915853Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.8313","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd606bf87b1ee128e96bf5c93e64906ad58dd6fab6603aced5afde203d587036","sha256:befde4691cdc830ac1f4c88236c79809e8654995dc08f572c87a57df51ace108"],"state_sha256":"0cc6d4b9758dd788b39c08dc34635a3d7a8f88cbf9917d98b6389596ad085941"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9EZjuq1bgf7klSbS7iiqLNafi66rG/GBpzEjzmdBT7ijSwHHLBiHBkJe+pFsaEoxnipM3pAjTtvFKPPP5DT/Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T02:59:26.292999Z","bundle_sha256":"da187fc1ef582e73fdaa64dbd087ce3603ed238d4a7490a87ecf6d7dc8a09414"}}