{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HC2XJCWFJ4TXWETVG67QQI5MFR","short_pith_number":"pith:HC2XJCWF","canonical_record":{"source":{"id":"1011.0974","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-03T19:03:35Z","cross_cats_sorted":[],"title_canon_sha256":"e8ad4dec2a550f8b201938f39ed3de75c419b3eca73d030a1c05d6a9a6c559c6","abstract_canon_sha256":"20cf6f1b64fc19231934a3be475506e6143aafd786a80cd568ce7b070e644b76"},"schema_version":"1.0"},"canonical_sha256":"38b5748ac54f277b127537bf0823ac2c65d9099e92f27e94dc84a0b7e90e99d4","source":{"kind":"arxiv","id":"1011.0974","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.0974","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"arxiv_version","alias_value":"1011.0974v1","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.0974","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"pith_short_12","alias_value":"HC2XJCWFJ4TX","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HC2XJCWFJ4TXWETV","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HC2XJCWF","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HC2XJCWFJ4TXWETVG67QQI5MFR","target":"record","payload":{"canonical_record":{"source":{"id":"1011.0974","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-03T19:03:35Z","cross_cats_sorted":[],"title_canon_sha256":"e8ad4dec2a550f8b201938f39ed3de75c419b3eca73d030a1c05d6a9a6c559c6","abstract_canon_sha256":"20cf6f1b64fc19231934a3be475506e6143aafd786a80cd568ce7b070e644b76"},"schema_version":"1.0"},"canonical_sha256":"38b5748ac54f277b127537bf0823ac2c65d9099e92f27e94dc84a0b7e90e99d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:37:12.003506Z","signature_b64":"Tk0IG/rpbbQYyMmubNgXdtgDy0s38SJlccq9eZLchG0j6Ui5ZfzBvBTJjUg7h0JiV95GH6KjjPBt9yQ4ACnjCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38b5748ac54f277b127537bf0823ac2c65d9099e92f27e94dc84a0b7e90e99d4","last_reissued_at":"2026-05-18T04:37:12.002853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:37:12.002853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.0974","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":"2026-05-18T04:37:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xywYp5P0IwysQNeISaLoX5GkaC9ryTOZkGhxUhfymfT2CU8Qgc+cQsNZ3mTBYKDIYXKt2XrszZbp7709UZreAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:36:58.767246Z"},"content_sha256":"e3418590cd687a10b54509eb21f9cb23317be129df6f8420fe15bc310ed45ea2","schema_version":"1.0","event_id":"sha256:e3418590cd687a10b54509eb21f9cb23317be129df6f8420fe15bc310ed45ea2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HC2XJCWFJ4TXWETVG67QQI5MFR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Emmanuel Creus\\'e (INRIA Lille - Nord Europe), Emmanuel Verhille, Serge Nicaise (LAMAV)","submitted_at":"2010-11-03T19:03:35Z","abstract_excerpt":"We consider a conforming finite element approximation of the Reissner-Mindlin system. We propose a new robust a posteriori error estimator based on H(div) conforming finite elements and equilibrated fluxes. It is shown that this estimator gives rise to an upper bound where the constant is one up to higher order terms. Lower bounds can also be established with constants depending on the shape regularity of the mesh. The reliability and efficiency of the proposed estimator are confirmed by some numerical tests."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.0974","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":"2026-05-18T04:37:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h+XZ8WVVw1KAgjzIcXHWSjogC8C71yUX0iHak4gd3273hcL7x3bY0NzpgUU3Ne/ySFcVGvOWsKJLxXEQ3/G5CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:36:58.767910Z"},"content_sha256":"352c8687e6a0f8103be18a2c868da48da438b0f24af08171fb3526d9b777605e","schema_version":"1.0","event_id":"sha256:352c8687e6a0f8103be18a2c868da48da438b0f24af08171fb3526d9b777605e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HC2XJCWFJ4TXWETVG67QQI5MFR/bundle.json","state_url":"https://pith.science/pith/HC2XJCWFJ4TXWETVG67QQI5MFR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HC2XJCWFJ4TXWETVG67QQI5MFR/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":"2026-06-05T01:36:58Z","links":{"resolver":"https://pith.science/pith/HC2XJCWFJ4TXWETVG67QQI5MFR","bundle":"https://pith.science/pith/HC2XJCWFJ4TXWETVG67QQI5MFR/bundle.json","state":"https://pith.science/pith/HC2XJCWFJ4TXWETVG67QQI5MFR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HC2XJCWFJ4TXWETVG67QQI5MFR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HC2XJCWFJ4TXWETVG67QQI5MFR","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":"20cf6f1b64fc19231934a3be475506e6143aafd786a80cd568ce7b070e644b76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-03T19:03:35Z","title_canon_sha256":"e8ad4dec2a550f8b201938f39ed3de75c419b3eca73d030a1c05d6a9a6c559c6"},"schema_version":"1.0","source":{"id":"1011.0974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.0974","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"arxiv_version","alias_value":"1011.0974v1","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.0974","created_at":"2026-05-18T04:37:12Z"},{"alias_kind":"pith_short_12","alias_value":"HC2XJCWFJ4TX","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HC2XJCWFJ4TXWETV","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HC2XJCWF","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:352c8687e6a0f8103be18a2c868da48da438b0f24af08171fb3526d9b777605e","target":"graph","created_at":"2026-05-18T04:37:12Z","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 consider a conforming finite element approximation of the Reissner-Mindlin system. We propose a new robust a posteriori error estimator based on H(div) conforming finite elements and equilibrated fluxes. It is shown that this estimator gives rise to an upper bound where the constant is one up to higher order terms. Lower bounds can also be established with constants depending on the shape regularity of the mesh. The reliability and efficiency of the proposed estimator are confirmed by some numerical tests.","authors_text":"Emmanuel Creus\\'e (INRIA Lille - Nord Europe), Emmanuel Verhille, Serge Nicaise (LAMAV)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-03T19:03:35Z","title":"Robust equilibrated a posteriori error estimators for the Reissner-Mindlin system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.0974","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:e3418590cd687a10b54509eb21f9cb23317be129df6f8420fe15bc310ed45ea2","target":"record","created_at":"2026-05-18T04:37:12Z","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":"20cf6f1b64fc19231934a3be475506e6143aafd786a80cd568ce7b070e644b76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2010-11-03T19:03:35Z","title_canon_sha256":"e8ad4dec2a550f8b201938f39ed3de75c419b3eca73d030a1c05d6a9a6c559c6"},"schema_version":"1.0","source":{"id":"1011.0974","kind":"arxiv","version":1}},"canonical_sha256":"38b5748ac54f277b127537bf0823ac2c65d9099e92f27e94dc84a0b7e90e99d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38b5748ac54f277b127537bf0823ac2c65d9099e92f27e94dc84a0b7e90e99d4","first_computed_at":"2026-05-18T04:37:12.002853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:37:12.002853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tk0IG/rpbbQYyMmubNgXdtgDy0s38SJlccq9eZLchG0j6Ui5ZfzBvBTJjUg7h0JiV95GH6KjjPBt9yQ4ACnjCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:37:12.003506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.0974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3418590cd687a10b54509eb21f9cb23317be129df6f8420fe15bc310ed45ea2","sha256:352c8687e6a0f8103be18a2c868da48da438b0f24af08171fb3526d9b777605e"],"state_sha256":"39509e869e28156a2ce8ee37fd337f8e281e71eaaea53a72ed53197b11709d3f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g/jj7DQhktcQ3YqSd9IUi8qwf1a/J8Eks9sqttG9sX/XNaCBCz50iPfY6Cs13Z0DfMXPv3URgG5zftt9kRw9Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T01:36:58.771363Z","bundle_sha256":"b6126d492ed81ecbf27835b652213c7610992e63539497c4a48869b997cef8c9"}}