{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:RIOTFXFCYOKOD6WUPVLLXUWMV6","short_pith_number":"pith:RIOTFXFC","canonical_record":{"source":{"id":"1006.0995","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-06-04T21:21:48Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"ecf9165356adf01cab0d2c084d5544c33c373a583db677892914f8c7350e4c72","abstract_canon_sha256":"9d4727fa07ab1b12b7a7585222bcb44b3d7da89d6dcd41002a649d3f0c4f3393"},"schema_version":"1.0"},"canonical_sha256":"8a1d32dca2c394e1fad47d56bbd2ccaf9bdbcc1ad349c0bcc0081c0b688a4d03","source":{"kind":"arxiv","id":"1006.0995","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0995","created_at":"2026-06-03T23:06:38Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0995v1","created_at":"2026-06-03T23:06:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0995","created_at":"2026-06-03T23:06:38Z"},{"alias_kind":"pith_short_12","alias_value":"RIOTFXFCYOKO","created_at":"2026-06-03T23:06:38Z"},{"alias_kind":"pith_short_16","alias_value":"RIOTFXFCYOKOD6WU","created_at":"2026-06-03T23:06:38Z"},{"alias_kind":"pith_short_8","alias_value":"RIOTFXFC","created_at":"2026-06-03T23:06:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:RIOTFXFCYOKOD6WUPVLLXUWMV6","target":"record","payload":{"canonical_record":{"source":{"id":"1006.0995","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-06-04T21:21:48Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"ecf9165356adf01cab0d2c084d5544c33c373a583db677892914f8c7350e4c72","abstract_canon_sha256":"9d4727fa07ab1b12b7a7585222bcb44b3d7da89d6dcd41002a649d3f0c4f3393"},"schema_version":"1.0"},"canonical_sha256":"8a1d32dca2c394e1fad47d56bbd2ccaf9bdbcc1ad349c0bcc0081c0b688a4d03","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T23:06:38.108774Z","signature_b64":"jF09tY831BvtduoEpB5yESKvYMlFOVHmdw3/xl8qiG/rQUtUOTXtPOVJvkidjP6v9CC80yi1h7wjyCAsgPnvAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a1d32dca2c394e1fad47d56bbd2ccaf9bdbcc1ad349c0bcc0081c0b688a4d03","last_reissued_at":"2026-06-03T23:06:38.108356Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T23:06:38.108356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.0995","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":"2026-06-03T23:06:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KlUy6u+vOviINgyfrrxF++o/1oFmaHBfvkDDBU54EsLUJ1YNLgZ0Au0GVCWN/Qbfi9kSyeRn72X9777nQ8E0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:32:51.839442Z"},"content_sha256":"44c5646d8219d8af78ad020d9341f028cf0ccf6c5a179fb9a86c5817316b72ea","schema_version":"1.0","event_id":"sha256:44c5646d8219d8af78ad020d9341f028cf0ccf6c5a179fb9a86c5817316b72ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:RIOTFXFCYOKOD6WUPVLLXUWMV6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mixed hp-finite element method for linear elasticity with weakly imposed symmetry III: Stability analysis in 3D","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Leszek Demkowicz, Weifeng Qiu","submitted_at":"2010-06-04T21:21:48Z","abstract_excerpt":"The paper presents a generalization of Arnold-Falk-Winther elements for three dimensional linear elasticity, to meshes with elements of variable order. The generalization is straightforward but the stability analysis involves a non-trivial modification of involved interpolation operators. The analysis addresses only the h-convergence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0995","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1006.0995/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-03T23:06:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C35t5q8ras6B3ETmuSKMGLyEEiTk2NxVGlecnR31UOuvSQiCs6t3tZQL4V5INfWlLePxNYR9PONID0EvdiKuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:32:51.840150Z"},"content_sha256":"51d22d15cca0fbd724d171465ad5b6555ee6666badd73255a56f6ad278304a3d","schema_version":"1.0","event_id":"sha256:51d22d15cca0fbd724d171465ad5b6555ee6666badd73255a56f6ad278304a3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RIOTFXFCYOKOD6WUPVLLXUWMV6/bundle.json","state_url":"https://pith.science/pith/RIOTFXFCYOKOD6WUPVLLXUWMV6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RIOTFXFCYOKOD6WUPVLLXUWMV6/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":"2026-06-05T18:32:51Z","links":{"resolver":"https://pith.science/pith/RIOTFXFCYOKOD6WUPVLLXUWMV6","bundle":"https://pith.science/pith/RIOTFXFCYOKOD6WUPVLLXUWMV6/bundle.json","state":"https://pith.science/pith/RIOTFXFCYOKOD6WUPVLLXUWMV6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RIOTFXFCYOKOD6WUPVLLXUWMV6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:RIOTFXFCYOKOD6WUPVLLXUWMV6","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":"9d4727fa07ab1b12b7a7585222bcb44b3d7da89d6dcd41002a649d3f0c4f3393","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-06-04T21:21:48Z","title_canon_sha256":"ecf9165356adf01cab0d2c084d5544c33c373a583db677892914f8c7350e4c72"},"schema_version":"1.0","source":{"id":"1006.0995","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0995","created_at":"2026-06-03T23:06:38Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0995v1","created_at":"2026-06-03T23:06:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0995","created_at":"2026-06-03T23:06:38Z"},{"alias_kind":"pith_short_12","alias_value":"RIOTFXFCYOKO","created_at":"2026-06-03T23:06:38Z"},{"alias_kind":"pith_short_16","alias_value":"RIOTFXFCYOKOD6WU","created_at":"2026-06-03T23:06:38Z"},{"alias_kind":"pith_short_8","alias_value":"RIOTFXFC","created_at":"2026-06-03T23:06:38Z"}],"graph_snapshots":[{"event_id":"sha256:51d22d15cca0fbd724d171465ad5b6555ee6666badd73255a56f6ad278304a3d","target":"graph","created_at":"2026-06-03T23:06:38Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1006.0995/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The paper presents a generalization of Arnold-Falk-Winther elements for three dimensional linear elasticity, to meshes with elements of variable order. The generalization is straightforward but the stability analysis involves a non-trivial modification of involved interpolation operators. The analysis addresses only the h-convergence.","authors_text":"Leszek Demkowicz, Weifeng Qiu","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-06-04T21:21:48Z","title":"Mixed hp-finite element method for linear elasticity with weakly imposed symmetry III: Stability analysis in 3D"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0995","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":"sha256:44c5646d8219d8af78ad020d9341f028cf0ccf6c5a179fb9a86c5817316b72ea","target":"record","created_at":"2026-06-03T23:06:38Z","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":"9d4727fa07ab1b12b7a7585222bcb44b3d7da89d6dcd41002a649d3f0c4f3393","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-06-04T21:21:48Z","title_canon_sha256":"ecf9165356adf01cab0d2c084d5544c33c373a583db677892914f8c7350e4c72"},"schema_version":"1.0","source":{"id":"1006.0995","kind":"arxiv","version":1}},"canonical_sha256":"8a1d32dca2c394e1fad47d56bbd2ccaf9bdbcc1ad349c0bcc0081c0b688a4d03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a1d32dca2c394e1fad47d56bbd2ccaf9bdbcc1ad349c0bcc0081c0b688a4d03","first_computed_at":"2026-06-03T23:06:38.108356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:38.108356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jF09tY831BvtduoEpB5yESKvYMlFOVHmdw3/xl8qiG/rQUtUOTXtPOVJvkidjP6v9CC80yi1h7wjyCAsgPnvAg==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:38.108774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0995","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44c5646d8219d8af78ad020d9341f028cf0ccf6c5a179fb9a86c5817316b72ea","sha256:51d22d15cca0fbd724d171465ad5b6555ee6666badd73255a56f6ad278304a3d"],"state_sha256":"e19757464f4e5bf2b81670d2e3fb9470e5561a7f327913524f36c25fe4995e4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m5udORkbNWEXomxSd3rrtYXfD3DkeQMclkp+ht98X+HVYs2s5V51jotXyL9knL0qqfRqWzp2pRnzIlQH8zs4Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:32:51.843305Z","bundle_sha256":"d26ea396d6d7c8cdfa634a9049dfc4e16a69ae6d0b5ca7a51e57856366dd0879"}}