{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:LWTE36IUDR7TUDAKDMG3KNMXGV","short_pith_number":"pith:LWTE36IU","canonical_record":{"source":{"id":"1305.0466","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-05-02T15:02:11Z","cross_cats_sorted":[],"title_canon_sha256":"4a36495b709cbc0f371ad52b51976f2307078ae3817c576c10c65b756a10ef6c","abstract_canon_sha256":"c1bfe6ced7608d460cbd4e0f13f7869d14c9452c7899849d19dbbb21e3ba859e"},"schema_version":"1.0"},"canonical_sha256":"5da64df9141c7f3a0c0a1b0db53597354d075b5f776cfcd6a66b5aefef4e8cdc","source":{"kind":"arxiv","id":"1305.0466","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0466","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0466v4","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0466","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"pith_short_12","alias_value":"LWTE36IUDR7T","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LWTE36IUDR7TUDAK","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LWTE36IU","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:LWTE36IUDR7TUDAKDMG3KNMXGV","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0466","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-05-02T15:02:11Z","cross_cats_sorted":[],"title_canon_sha256":"4a36495b709cbc0f371ad52b51976f2307078ae3817c576c10c65b756a10ef6c","abstract_canon_sha256":"c1bfe6ced7608d460cbd4e0f13f7869d14c9452c7899849d19dbbb21e3ba859e"},"schema_version":"1.0"},"canonical_sha256":"5da64df9141c7f3a0c0a1b0db53597354d075b5f776cfcd6a66b5aefef4e8cdc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:52.012105Z","signature_b64":"LKBTeZIZMSp6s2UkIc8GStRZy7i1nfhAqJDwiy6ztPJwLDTidv2Wjo2elCpwbpMs8cNBG+a0NO4Ex5nBhPXXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5da64df9141c7f3a0c0a1b0db53597354d075b5f776cfcd6a66b5aefef4e8cdc","last_reissued_at":"2026-05-18T00:56:52.011363Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:52.011363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0466","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:56:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vYX0lCLDDdoVEiR479NF38plqenh5IZF2f0WD7lpfDLrHURHfyAV5sxT6k/WCQCatbaVtj4c3HdXA4q+st30AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:14:28.642386Z"},"content_sha256":"6400b812271fc43dda79de854727e9cf2ebc8bb165df0d1d364a640852998fdb","schema_version":"1.0","event_id":"sha256:6400b812271fc43dda79de854727e9cf2ebc8bb165df0d1d364a640852998fdb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:LWTE36IUDR7TUDAKDMG3KNMXGV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On stability, convergence and accuracy of bES-FEM and bFS-FEM for nearly incompressible elasticity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Chang-Kye Lee, Claire E. Heaney, G.R. Liu, H. Nguyen-Xuan, Thanh Hai Ong","submitted_at":"2013-05-02T15:02:11Z","abstract_excerpt":"We present in this paper a rigorous theoretical framework to show stability, convergence and accuracy of improved edge-based and face-based smoothed finite element methods (bESFEM and bFS-FEM) for nearly-incompressible elasticity problems. The crucial idea is that the space of piecewise linear polynomials used for the displacements is enriched with bubble functions on each element, while the pressure is a piecewise constant function. The meshes of triangular or tetrahedral elements required by these methods can be generated automatically. The enrichment induces a softening in the bilinear form"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0466","kind":"arxiv","version":4},"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":"2026-05-18T00:56:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qws4v5gCOyOLvOrM1rwHpWGu5s2M8Ri3G6DHkHyXvZJ14C/XTspD6Bu2lai2Edi+k7jUofPI2xsxOKQb/CGCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:14:28.643100Z"},"content_sha256":"1f3d755a7326270b411c8dc1382d8e272768fe7bef22fee2632565d33eba3423","schema_version":"1.0","event_id":"sha256:1f3d755a7326270b411c8dc1382d8e272768fe7bef22fee2632565d33eba3423"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LWTE36IUDR7TUDAKDMG3KNMXGV/bundle.json","state_url":"https://pith.science/pith/LWTE36IUDR7TUDAKDMG3KNMXGV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LWTE36IUDR7TUDAKDMG3KNMXGV/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":"2026-06-07T22:14:28Z","links":{"resolver":"https://pith.science/pith/LWTE36IUDR7TUDAKDMG3KNMXGV","bundle":"https://pith.science/pith/LWTE36IUDR7TUDAKDMG3KNMXGV/bundle.json","state":"https://pith.science/pith/LWTE36IUDR7TUDAKDMG3KNMXGV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LWTE36IUDR7TUDAKDMG3KNMXGV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LWTE36IUDR7TUDAKDMG3KNMXGV","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":"c1bfe6ced7608d460cbd4e0f13f7869d14c9452c7899849d19dbbb21e3ba859e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-05-02T15:02:11Z","title_canon_sha256":"4a36495b709cbc0f371ad52b51976f2307078ae3817c576c10c65b756a10ef6c"},"schema_version":"1.0","source":{"id":"1305.0466","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0466","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0466v4","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0466","created_at":"2026-05-18T00:56:52Z"},{"alias_kind":"pith_short_12","alias_value":"LWTE36IUDR7T","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LWTE36IUDR7TUDAK","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LWTE36IU","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:1f3d755a7326270b411c8dc1382d8e272768fe7bef22fee2632565d33eba3423","target":"graph","created_at":"2026-05-18T00:56:52Z","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 present in this paper a rigorous theoretical framework to show stability, convergence and accuracy of improved edge-based and face-based smoothed finite element methods (bESFEM and bFS-FEM) for nearly-incompressible elasticity problems. The crucial idea is that the space of piecewise linear polynomials used for the displacements is enriched with bubble functions on each element, while the pressure is a piecewise constant function. The meshes of triangular or tetrahedral elements required by these methods can be generated automatically. The enrichment induces a softening in the bilinear form","authors_text":"Chang-Kye Lee, Claire E. Heaney, G.R. Liu, H. Nguyen-Xuan, Thanh Hai Ong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-05-02T15:02:11Z","title":"On stability, convergence and accuracy of bES-FEM and bFS-FEM for nearly incompressible elasticity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0466","kind":"arxiv","version":4},"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":"sha256:6400b812271fc43dda79de854727e9cf2ebc8bb165df0d1d364a640852998fdb","target":"record","created_at":"2026-05-18T00:56:52Z","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":"c1bfe6ced7608d460cbd4e0f13f7869d14c9452c7899849d19dbbb21e3ba859e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-05-02T15:02:11Z","title_canon_sha256":"4a36495b709cbc0f371ad52b51976f2307078ae3817c576c10c65b756a10ef6c"},"schema_version":"1.0","source":{"id":"1305.0466","kind":"arxiv","version":4}},"canonical_sha256":"5da64df9141c7f3a0c0a1b0db53597354d075b5f776cfcd6a66b5aefef4e8cdc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5da64df9141c7f3a0c0a1b0db53597354d075b5f776cfcd6a66b5aefef4e8cdc","first_computed_at":"2026-05-18T00:56:52.011363Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:52.011363Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LKBTeZIZMSp6s2UkIc8GStRZy7i1nfhAqJDwiy6ztPJwLDTidv2Wjo2elCpwbpMs8cNBG+a0NO4Ex5nBhPXXBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:52.012105Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0466","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6400b812271fc43dda79de854727e9cf2ebc8bb165df0d1d364a640852998fdb","sha256:1f3d755a7326270b411c8dc1382d8e272768fe7bef22fee2632565d33eba3423"],"state_sha256":"8a10eedb2866e70dcb30bac4e3352b7b1273ecab9ac7e1b4c16005c7f7bf7bb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hgkzfq6DbgYrDn3/2yxiwJobcmG2N4ccnNF2DzqSvrP2BDSYZrTowkSg3FaYGk81Kg25MGShCK8iLiPJDwRDDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T22:14:28.646525Z","bundle_sha256":"c95bfe442e8225d23ba8f7c9d13ca715dfe6907362ed335623e0fb196f02bd73"}}