{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XN3Y5NYLCHVF5ZKGO7EF7ZJOQD","short_pith_number":"pith:XN3Y5NYL","canonical_record":{"source":{"id":"1805.08864","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-22T20:56:45Z","cross_cats_sorted":[],"title_canon_sha256":"2e9fb2b968d04aa63b1bc65402294209c1e35e9adf052acfeee733d8764db278","abstract_canon_sha256":"43983d2c1e58f929fe19e95b2996306b91f7f893c588ca16be6ee62ca65cae0e"},"schema_version":"1.0"},"canonical_sha256":"bb778eb70b11ea5ee54677c85fe52e80d51d1ea146dcf0a2f91fb2db27e14aee","source":{"kind":"arxiv","id":"1805.08864","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08864","created_at":"2026-05-18T00:15:09Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08864v1","created_at":"2026-05-18T00:15:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08864","created_at":"2026-05-18T00:15:09Z"},{"alias_kind":"pith_short_12","alias_value":"XN3Y5NYLCHVF","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XN3Y5NYLCHVF5ZKG","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XN3Y5NYL","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XN3Y5NYLCHVF5ZKGO7EF7ZJOQD","target":"record","payload":{"canonical_record":{"source":{"id":"1805.08864","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-22T20:56:45Z","cross_cats_sorted":[],"title_canon_sha256":"2e9fb2b968d04aa63b1bc65402294209c1e35e9adf052acfeee733d8764db278","abstract_canon_sha256":"43983d2c1e58f929fe19e95b2996306b91f7f893c588ca16be6ee62ca65cae0e"},"schema_version":"1.0"},"canonical_sha256":"bb778eb70b11ea5ee54677c85fe52e80d51d1ea146dcf0a2f91fb2db27e14aee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:09.260525Z","signature_b64":"4Zh7ebaxcwQIXaaCbiCDl0+LIHAoIdxFPvJs+V0qIyPNphioE07MjZTySQfCpWDh4OoPUmCZZNQPOuQ21cEsCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb778eb70b11ea5ee54677c85fe52e80d51d1ea146dcf0a2f91fb2db27e14aee","last_reissued_at":"2026-05-18T00:15:09.260113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:09.260113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.08864","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":"2026-05-18T00:15:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"olX61kUZyXHcktGfyUbjaLA1KsOh2Ltdqau2rsoNP46ZmAHmSO7aAEkfHOEwBwAgypF8qJShOh8mxojjYK8mCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:43:56.703374Z"},"content_sha256":"46008df5ee9bfaf5dceafa98852b56d7e956ed28080fc8afc99205a26ffa3e70","schema_version":"1.0","event_id":"sha256:46008df5ee9bfaf5dceafa98852b56d7e956ed28080fc8afc99205a26ffa3e70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XN3Y5NYLCHVF5ZKGO7EF7ZJOQD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fully discrete DPG methods for the Kirchhoff-Love plate bending model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Norbert Heuer, Thomas F\\\"uhrer","submitted_at":"2018-05-22T20:56:45Z","abstract_excerpt":"We extend the analysis and discretization of the Kirchhoff-Love plate bending problem from [T. F\\\"uhrer, N. Heuer, A.H. Niemi, An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation, arXiv:1805.07835, 2018] in two aspects. First, we present a well-posed formulation and quasi-optimal DPG discretization that includes the gradient of the deflection. Second, we construct Fortin operators that prove the well-posedness and quasi-optimal convergence of lowest-order discrete schemes with approximated test functions for both formulations. Our results apply to the case "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08864","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":"2026-05-18T00:15:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X2tV+1aNLnDbv9PH8QBVmdD7LFGy4d526A01qk3YO/9B5j4GySt8PhI6NEl+CbOLB7Ndfdg1W0eHRvJQWm4gBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T14:43:56.703989Z"},"content_sha256":"821a08da214fb4340282803a352769a20a3d60e2bf4880a0dbc2a696f7f3f97e","schema_version":"1.0","event_id":"sha256:821a08da214fb4340282803a352769a20a3d60e2bf4880a0dbc2a696f7f3f97e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XN3Y5NYLCHVF5ZKGO7EF7ZJOQD/bundle.json","state_url":"https://pith.science/pith/XN3Y5NYLCHVF5ZKGO7EF7ZJOQD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XN3Y5NYLCHVF5ZKGO7EF7ZJOQD/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":"2026-06-09T14:43:56Z","links":{"resolver":"https://pith.science/pith/XN3Y5NYLCHVF5ZKGO7EF7ZJOQD","bundle":"https://pith.science/pith/XN3Y5NYLCHVF5ZKGO7EF7ZJOQD/bundle.json","state":"https://pith.science/pith/XN3Y5NYLCHVF5ZKGO7EF7ZJOQD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XN3Y5NYLCHVF5ZKGO7EF7ZJOQD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XN3Y5NYLCHVF5ZKGO7EF7ZJOQD","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":"43983d2c1e58f929fe19e95b2996306b91f7f893c588ca16be6ee62ca65cae0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-22T20:56:45Z","title_canon_sha256":"2e9fb2b968d04aa63b1bc65402294209c1e35e9adf052acfeee733d8764db278"},"schema_version":"1.0","source":{"id":"1805.08864","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08864","created_at":"2026-05-18T00:15:09Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08864v1","created_at":"2026-05-18T00:15:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08864","created_at":"2026-05-18T00:15:09Z"},{"alias_kind":"pith_short_12","alias_value":"XN3Y5NYLCHVF","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XN3Y5NYLCHVF5ZKG","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XN3Y5NYL","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:821a08da214fb4340282803a352769a20a3d60e2bf4880a0dbc2a696f7f3f97e","target":"graph","created_at":"2026-05-18T00:15:09Z","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":"We extend the analysis and discretization of the Kirchhoff-Love plate bending problem from [T. F\\\"uhrer, N. Heuer, A.H. Niemi, An ultraweak formulation of the Kirchhoff-Love plate bending model and DPG approximation, arXiv:1805.07835, 2018] in two aspects. First, we present a well-posed formulation and quasi-optimal DPG discretization that includes the gradient of the deflection. Second, we construct Fortin operators that prove the well-posedness and quasi-optimal convergence of lowest-order discrete schemes with approximated test functions for both formulations. Our results apply to the case ","authors_text":"Norbert Heuer, Thomas F\\\"uhrer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-22T20:56:45Z","title":"Fully discrete DPG methods for the Kirchhoff-Love plate bending model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08864","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":"sha256:46008df5ee9bfaf5dceafa98852b56d7e956ed28080fc8afc99205a26ffa3e70","target":"record","created_at":"2026-05-18T00:15:09Z","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":"43983d2c1e58f929fe19e95b2996306b91f7f893c588ca16be6ee62ca65cae0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-22T20:56:45Z","title_canon_sha256":"2e9fb2b968d04aa63b1bc65402294209c1e35e9adf052acfeee733d8764db278"},"schema_version":"1.0","source":{"id":"1805.08864","kind":"arxiv","version":1}},"canonical_sha256":"bb778eb70b11ea5ee54677c85fe52e80d51d1ea146dcf0a2f91fb2db27e14aee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb778eb70b11ea5ee54677c85fe52e80d51d1ea146dcf0a2f91fb2db27e14aee","first_computed_at":"2026-05-18T00:15:09.260113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:09.260113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Zh7ebaxcwQIXaaCbiCDl0+LIHAoIdxFPvJs+V0qIyPNphioE07MjZTySQfCpWDh4OoPUmCZZNQPOuQ21cEsCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:09.260525Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.08864","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46008df5ee9bfaf5dceafa98852b56d7e956ed28080fc8afc99205a26ffa3e70","sha256:821a08da214fb4340282803a352769a20a3d60e2bf4880a0dbc2a696f7f3f97e"],"state_sha256":"82b11defc79f06554bd6e857019582322ef73521e6e489a105741bf35bd16ac4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+uMPqNHDBu1LjD+XNPNQ7UoChQkrP7HSmgjudLycgqrrzdsIMT83UEsps90HlDNIvYNa6b3zjlY9r60J4xEyCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T14:43:56.706133Z","bundle_sha256":"7bd3456a37927a392cd94f628b9c92d2148eda5996f9ab53323056e7b4be54b8"}}