{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7YDBGRGSCGK7S2VYPKXNPNPRU6","short_pith_number":"pith:7YDBGRGS","canonical_record":{"source":{"id":"1302.2753","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-12T10:21:18Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c4eb1588968b4f379a1f462125d6277ebea5faed92d3f59d3d07234a71e94430","abstract_canon_sha256":"80a9ba001ed255e164cdea6c889648f3e2df237b24ac54715ac92ded2b98b74e"},"schema_version":"1.0"},"canonical_sha256":"fe061344d21195f96ab87aaed7b5f1a7bc32118a237373fa585033042c11665d","source":{"kind":"arxiv","id":"1302.2753","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2753","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2753v1","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2753","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"7YDBGRGSCGK7","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"7YDBGRGSCGK7S2VY","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"7YDBGRGS","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7YDBGRGSCGK7S2VYPKXNPNPRU6","target":"record","payload":{"canonical_record":{"source":{"id":"1302.2753","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-12T10:21:18Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c4eb1588968b4f379a1f462125d6277ebea5faed92d3f59d3d07234a71e94430","abstract_canon_sha256":"80a9ba001ed255e164cdea6c889648f3e2df237b24ac54715ac92ded2b98b74e"},"schema_version":"1.0"},"canonical_sha256":"fe061344d21195f96ab87aaed7b5f1a7bc32118a237373fa585033042c11665d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:50.995093Z","signature_b64":"7F2hs+4gCXwA7LgIK7+R8gwd65TIlsymJaZ6qusVAKcemfORhE1pX9ZeLW1rDMTDphm1tq2EAtCN4CCy86CaDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe061344d21195f96ab87aaed7b5f1a7bc32118a237373fa585033042c11665d","last_reissued_at":"2026-05-18T03:33:50.994354Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:50.994354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.2753","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":"2026-05-18T03:33:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HQ0zAP8e/2EZd6Z7F7sgDJ+MvjfePK1qTHvGGsepMHafUDg2Bb+KN2nl3ghbQ8gNpjQ/XF0ZJ+St7496TgZZCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:38:25.797100Z"},"content_sha256":"bdf0db3acef7d49a5aaa3349b6397cb8f029dd7fb5d92039f495fdf912855d20","schema_version":"1.0","event_id":"sha256:bdf0db3acef7d49a5aaa3349b6397cb8f029dd7fb5d92039f495fdf912855d20"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7YDBGRGSCGK7S2VYPKXNPNPRU6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Variational Finite Element Model for Large-Eddy Simulations of Turbulent Flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Roger Lewandowski, Tomas Chacon Rebello","submitted_at":"2013-02-12T10:21:18Z","abstract_excerpt":"We introduce a new Large Eddy Simulation model in a channel, based on the projection on finite element spaces as filtering operation in its variational form, for a given triangulation $\\{{\\cal T}_h \\}_{h>0}$. The eddy viscosity is expressed in terms of the friction velocity in the boundary layer due to the wall, and is of a standard sub grid-model form outside the boundary layer. The mixing length scale is locally equal to the grid size. The computational domain is the channel without the linear sub-layer of the boundary layer. The no slip boundary condition (BC) is replaced by a Navier (BC) a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2753","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":"2026-05-18T03:33:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ostd8Ibt0iZIZgNxQBoKotlFo733aVH8FAKo71n2lUMM1qP8NElRX6uWbisqYCAp/RzMJP7e7QQRf9HUfMKSBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:38:25.797462Z"},"content_sha256":"739ec1ddbfed00da73c93ea21a25b00fd8b129abddd05d505bc5522233e1a5d7","schema_version":"1.0","event_id":"sha256:739ec1ddbfed00da73c93ea21a25b00fd8b129abddd05d505bc5522233e1a5d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7YDBGRGSCGK7S2VYPKXNPNPRU6/bundle.json","state_url":"https://pith.science/pith/7YDBGRGSCGK7S2VYPKXNPNPRU6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7YDBGRGSCGK7S2VYPKXNPNPRU6/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":"2026-06-03T08:38:25Z","links":{"resolver":"https://pith.science/pith/7YDBGRGSCGK7S2VYPKXNPNPRU6","bundle":"https://pith.science/pith/7YDBGRGSCGK7S2VYPKXNPNPRU6/bundle.json","state":"https://pith.science/pith/7YDBGRGSCGK7S2VYPKXNPNPRU6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7YDBGRGSCGK7S2VYPKXNPNPRU6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7YDBGRGSCGK7S2VYPKXNPNPRU6","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":"80a9ba001ed255e164cdea6c889648f3e2df237b24ac54715ac92ded2b98b74e","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-12T10:21:18Z","title_canon_sha256":"c4eb1588968b4f379a1f462125d6277ebea5faed92d3f59d3d07234a71e94430"},"schema_version":"1.0","source":{"id":"1302.2753","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2753","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2753v1","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2753","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"7YDBGRGSCGK7","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"7YDBGRGSCGK7S2VY","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"7YDBGRGS","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:739ec1ddbfed00da73c93ea21a25b00fd8b129abddd05d505bc5522233e1a5d7","target":"graph","created_at":"2026-05-18T03:33:50Z","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 introduce a new Large Eddy Simulation model in a channel, based on the projection on finite element spaces as filtering operation in its variational form, for a given triangulation $\\{{\\cal T}_h \\}_{h>0}$. The eddy viscosity is expressed in terms of the friction velocity in the boundary layer due to the wall, and is of a standard sub grid-model form outside the boundary layer. The mixing length scale is locally equal to the grid size. The computational domain is the channel without the linear sub-layer of the boundary layer. The no slip boundary condition (BC) is replaced by a Navier (BC) a","authors_text":"Roger Lewandowski, Tomas Chacon Rebello","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-12T10:21:18Z","title":"A Variational Finite Element Model for Large-Eddy Simulations of Turbulent Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2753","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:bdf0db3acef7d49a5aaa3349b6397cb8f029dd7fb5d92039f495fdf912855d20","target":"record","created_at":"2026-05-18T03:33:50Z","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":"80a9ba001ed255e164cdea6c889648f3e2df237b24ac54715ac92ded2b98b74e","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-12T10:21:18Z","title_canon_sha256":"c4eb1588968b4f379a1f462125d6277ebea5faed92d3f59d3d07234a71e94430"},"schema_version":"1.0","source":{"id":"1302.2753","kind":"arxiv","version":1}},"canonical_sha256":"fe061344d21195f96ab87aaed7b5f1a7bc32118a237373fa585033042c11665d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe061344d21195f96ab87aaed7b5f1a7bc32118a237373fa585033042c11665d","first_computed_at":"2026-05-18T03:33:50.994354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:50.994354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7F2hs+4gCXwA7LgIK7+R8gwd65TIlsymJaZ6qusVAKcemfORhE1pX9ZeLW1rDMTDphm1tq2EAtCN4CCy86CaDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:50.995093Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.2753","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdf0db3acef7d49a5aaa3349b6397cb8f029dd7fb5d92039f495fdf912855d20","sha256:739ec1ddbfed00da73c93ea21a25b00fd8b129abddd05d505bc5522233e1a5d7"],"state_sha256":"977ae3a163534143bf0619e8094da0eee9d7a5ab53b1c8e3fa5963d998a9ebfa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3qpYRKgRvQIkAEIHVjjn25GwYIy7I736cRsBYPSkJJauRWBVxEEvhycTLaDO/ERiQlAZPcLCZ8HrN2wTP+QsBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:38:25.799432Z","bundle_sha256":"45b5329fd8524068ced0df0dd22facd064fb4e7ff44c97dc3930d9ccb4a7d2db"}}