{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7TBIH7C2RX4CSDDVUUPJMVANSM","short_pith_number":"pith:7TBIH7C2","canonical_record":{"source":{"id":"1410.0326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-01T18:55:16Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"f001138818c6a30ca73786f406de384f6e5a8ec7fd0668a49e65a5a675aea72e","abstract_canon_sha256":"ea176737557b61426e49fa6653b331738c80386fa4eee78dfca966564c68eee2"},"schema_version":"1.0"},"canonical_sha256":"fcc283fc5a8df8290c75a51e96540d9330b01f886ec5bbce7d7b38c08e65fbc0","source":{"kind":"arxiv","id":"1410.0326","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0326","created_at":"2026-05-18T02:41:17Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0326v1","created_at":"2026-05-18T02:41:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0326","created_at":"2026-05-18T02:41:17Z"},{"alias_kind":"pith_short_12","alias_value":"7TBIH7C2RX4C","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7TBIH7C2RX4CSDDV","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7TBIH7C2","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7TBIH7C2RX4CSDDVUUPJMVANSM","target":"record","payload":{"canonical_record":{"source":{"id":"1410.0326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-01T18:55:16Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"f001138818c6a30ca73786f406de384f6e5a8ec7fd0668a49e65a5a675aea72e","abstract_canon_sha256":"ea176737557b61426e49fa6653b331738c80386fa4eee78dfca966564c68eee2"},"schema_version":"1.0"},"canonical_sha256":"fcc283fc5a8df8290c75a51e96540d9330b01f886ec5bbce7d7b38c08e65fbc0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:17.556206Z","signature_b64":"zQP1ntFbc5hsQpT4bPu9bKTGwBWUHyX5NTGB3F12uyybeee0SIxoiIx12NmadmIA2Z2aYi0p73rEctrYsb2NAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fcc283fc5a8df8290c75a51e96540d9330b01f886ec5bbce7d7b38c08e65fbc0","last_reissued_at":"2026-05-18T02:41:17.555534Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:17.555534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.0326","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":"2026-05-18T02:41:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GPO8WQAGovwkR1gDAr1kNVV7+VPeUwYOonTtrigEwkM40oDGQ3qmZZcdI2NF0EmIsiVQqPDMa2T0U6wnRiJnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:03:14.479769Z"},"content_sha256":"a89ea2aca377cbd514a0d6aee81780d3a7e6c63127a81d95b60c2a01b6ef02de","schema_version":"1.0","event_id":"sha256:a89ea2aca377cbd514a0d6aee81780d3a7e6c63127a81d95b60c2a01b6ef02de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7TBIH7C2RX4CSDDVUUPJMVANSM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A $\\Gamma$-Convergence Result for the Upper Bound Limit Analysis of Plates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"Gabriel Peyr\\'e (CEREMADE), Guillaume Carlier (CEREMADE), Jean-Marie Mirebeau (CEREMADE), J\\'er\\'emy Bleyer (NAVIER), Vincent Duval (INRIA Paris-Rocquencourt)","submitted_at":"2014-10-01T18:55:16Z","abstract_excerpt":"Upper bound limit analysis allows one to evaluate directly the ultimate load of structures without performing a cumbersome incremental analysis. In order to numerically apply this method to thin plates in bending, several authors have proposed to use various finite elements discretizations. We provide in this paper a mathematical analysis which ensures the convergence of the finite element method, even with finite elements with discontinuous derivatives such as the quadratic 6 node Lagrange triangles and the cubic Hermite triangles. More precisely, we prove the $\\Gamma$-convergence of the disc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0326","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":"2026-05-18T02:41:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D4sSfyV07e/BGNa8CPNIsNWij2DeSD2xyyNUJ822MBG9b24sA+FS7cPQw48YAPsdk+WtYXWcsf45SzWYvO+LDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T22:03:14.480151Z"},"content_sha256":"f03fa205b9718c7aba39472213d0a8d05a9b3373d9051adeb5b9e58cdbf043d8","schema_version":"1.0","event_id":"sha256:f03fa205b9718c7aba39472213d0a8d05a9b3373d9051adeb5b9e58cdbf043d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7TBIH7C2RX4CSDDVUUPJMVANSM/bundle.json","state_url":"https://pith.science/pith/7TBIH7C2RX4CSDDVUUPJMVANSM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7TBIH7C2RX4CSDDVUUPJMVANSM/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":"2026-06-24T22:03:14Z","links":{"resolver":"https://pith.science/pith/7TBIH7C2RX4CSDDVUUPJMVANSM","bundle":"https://pith.science/pith/7TBIH7C2RX4CSDDVUUPJMVANSM/bundle.json","state":"https://pith.science/pith/7TBIH7C2RX4CSDDVUUPJMVANSM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7TBIH7C2RX4CSDDVUUPJMVANSM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7TBIH7C2RX4CSDDVUUPJMVANSM","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":"ea176737557b61426e49fa6653b331738c80386fa4eee78dfca966564c68eee2","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-01T18:55:16Z","title_canon_sha256":"f001138818c6a30ca73786f406de384f6e5a8ec7fd0668a49e65a5a675aea72e"},"schema_version":"1.0","source":{"id":"1410.0326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0326","created_at":"2026-05-18T02:41:17Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0326v1","created_at":"2026-05-18T02:41:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0326","created_at":"2026-05-18T02:41:17Z"},{"alias_kind":"pith_short_12","alias_value":"7TBIH7C2RX4C","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7TBIH7C2RX4CSDDV","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7TBIH7C2","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:f03fa205b9718c7aba39472213d0a8d05a9b3373d9051adeb5b9e58cdbf043d8","target":"graph","created_at":"2026-05-18T02:41:17Z","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":"Upper bound limit analysis allows one to evaluate directly the ultimate load of structures without performing a cumbersome incremental analysis. In order to numerically apply this method to thin plates in bending, several authors have proposed to use various finite elements discretizations. We provide in this paper a mathematical analysis which ensures the convergence of the finite element method, even with finite elements with discontinuous derivatives such as the quadratic 6 node Lagrange triangles and the cubic Hermite triangles. More precisely, we prove the $\\Gamma$-convergence of the disc","authors_text":"Gabriel Peyr\\'e (CEREMADE), Guillaume Carlier (CEREMADE), Jean-Marie Mirebeau (CEREMADE), J\\'er\\'emy Bleyer (NAVIER), Vincent Duval (INRIA Paris-Rocquencourt)","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-01T18:55:16Z","title":"A $\\Gamma$-Convergence Result for the Upper Bound Limit Analysis of Plates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0326","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:a89ea2aca377cbd514a0d6aee81780d3a7e6c63127a81d95b60c2a01b6ef02de","target":"record","created_at":"2026-05-18T02:41:17Z","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":"ea176737557b61426e49fa6653b331738c80386fa4eee78dfca966564c68eee2","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-10-01T18:55:16Z","title_canon_sha256":"f001138818c6a30ca73786f406de384f6e5a8ec7fd0668a49e65a5a675aea72e"},"schema_version":"1.0","source":{"id":"1410.0326","kind":"arxiv","version":1}},"canonical_sha256":"fcc283fc5a8df8290c75a51e96540d9330b01f886ec5bbce7d7b38c08e65fbc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcc283fc5a8df8290c75a51e96540d9330b01f886ec5bbce7d7b38c08e65fbc0","first_computed_at":"2026-05-18T02:41:17.555534Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:17.555534Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zQP1ntFbc5hsQpT4bPu9bKTGwBWUHyX5NTGB3F12uyybeee0SIxoiIx12NmadmIA2Z2aYi0p73rEctrYsb2NAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:17.556206Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.0326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a89ea2aca377cbd514a0d6aee81780d3a7e6c63127a81d95b60c2a01b6ef02de","sha256:f03fa205b9718c7aba39472213d0a8d05a9b3373d9051adeb5b9e58cdbf043d8"],"state_sha256":"e81df18427056c1a94693d226d6da579497a590a445b786af786e7a6a1cd581e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WIdEOOBcU0sNHhn3nxnAhMJfQZJp2MAn7E0yEsccu0CCD46hCKiMBlzbGD49AKarLzpYEUOQKKDz/2jCt1HCDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T22:03:14.482336Z","bundle_sha256":"ea6733c268ce3888c377f20d6c6daf882ac6fc09f797d8f36a09daeb4d2083e8"}}