{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:G4OZKGOBQNU2ZLPXX6M6IEJ3BF","short_pith_number":"pith:G4OZKGOB","canonical_record":{"source":{"id":"1705.05559","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-16T07:33:59Z","cross_cats_sorted":[],"title_canon_sha256":"17aa3afade9682c8af58ada6cb2cbef885f2d38ca6fb74fb7836c397dfb3521d","abstract_canon_sha256":"e774c8a3c0177f40b2951a8c40325414d7b05f36350370c77fc4cde11301c2cb"},"schema_version":"1.0"},"canonical_sha256":"371d9519c18369acadf7bf99e4113b09727dd27a76b0fb518a09452c0b4ecaa3","source":{"kind":"arxiv","id":"1705.05559","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05559","created_at":"2026-05-18T00:38:26Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05559v1","created_at":"2026-05-18T00:38:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05559","created_at":"2026-05-18T00:38:26Z"},{"alias_kind":"pith_short_12","alias_value":"G4OZKGOBQNU2","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"G4OZKGOBQNU2ZLPX","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"G4OZKGOB","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:G4OZKGOBQNU2ZLPXX6M6IEJ3BF","target":"record","payload":{"canonical_record":{"source":{"id":"1705.05559","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-16T07:33:59Z","cross_cats_sorted":[],"title_canon_sha256":"17aa3afade9682c8af58ada6cb2cbef885f2d38ca6fb74fb7836c397dfb3521d","abstract_canon_sha256":"e774c8a3c0177f40b2951a8c40325414d7b05f36350370c77fc4cde11301c2cb"},"schema_version":"1.0"},"canonical_sha256":"371d9519c18369acadf7bf99e4113b09727dd27a76b0fb518a09452c0b4ecaa3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:26.214643Z","signature_b64":"v76lDqHvdSBkWKhsTRWG982YZT7LjYcdw0fOMop2mLVPvmMpPAoSX9ctWCIpfYDP0bts3kwrye6meSY6swryBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"371d9519c18369acadf7bf99e4113b09727dd27a76b0fb518a09452c0b4ecaa3","last_reissued_at":"2026-05-18T00:38:26.213961Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:26.213961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.05559","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":"2026-05-18T00:38:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cDrn/oPsKUP5cT2o4rW/38HHkJC5bMrYLNfffDXfqaq0EPFJ5KGUHONhxV4GhItp0yZJ5epduF1HjVbHjo32Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:40:36.428872Z"},"content_sha256":"2a03373cf26b887084a0db714918eb2861931ce75997eef8a2a248fb4c1dc763","schema_version":"1.0","event_id":"sha256:2a03373cf26b887084a0db714918eb2861931ce75997eef8a2a248fb4c1dc763"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:G4OZKGOBQNU2ZLPXX6M6IEJ3BF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a non-solenoidal approximation to the incompressible Navier-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Lorenzo Brandolese (ICJ)","submitted_at":"2017-05-16T07:33:59Z","abstract_excerpt":"We establish an asymptotic profile that sharply describes the behavior as $t\\to\\infty$ for solutions to a non-solenoidal approximation of the incompressible Navier-Stokes equations introduced by Temam. The solutions of Temam's model are known to converge to the corresponding solutions of the classical Navier-Stokes, e.g., in  $L^3\\_{\\rm loc} (R^+ \\times R^3)$, provided $\\epsilon\\to0$, where $\\epsilon>0$ is the physical parameter related to the artificial compressibility term. However, we show that such model is no longer a good approximation of Navier-Stokes for large times: indeed, its soluti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05559","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":"2026-05-18T00:38:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f2rEjAUG5zEaSXgGdfw38oziuOqir7Ubw7EBdF754L2Pv+Vsx0q53HXOj5/u6z/C3WrNoZoJEeL0HwfdZlnwDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:40:36.429530Z"},"content_sha256":"639853a0618da28082d3f7f22bddfb320bb37a776b817fc0ec025a9bc0869cf4","schema_version":"1.0","event_id":"sha256:639853a0618da28082d3f7f22bddfb320bb37a776b817fc0ec025a9bc0869cf4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G4OZKGOBQNU2ZLPXX6M6IEJ3BF/bundle.json","state_url":"https://pith.science/pith/G4OZKGOBQNU2ZLPXX6M6IEJ3BF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G4OZKGOBQNU2ZLPXX6M6IEJ3BF/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":"2026-06-07T10:40:36Z","links":{"resolver":"https://pith.science/pith/G4OZKGOBQNU2ZLPXX6M6IEJ3BF","bundle":"https://pith.science/pith/G4OZKGOBQNU2ZLPXX6M6IEJ3BF/bundle.json","state":"https://pith.science/pith/G4OZKGOBQNU2ZLPXX6M6IEJ3BF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G4OZKGOBQNU2ZLPXX6M6IEJ3BF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:G4OZKGOBQNU2ZLPXX6M6IEJ3BF","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":"e774c8a3c0177f40b2951a8c40325414d7b05f36350370c77fc4cde11301c2cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-16T07:33:59Z","title_canon_sha256":"17aa3afade9682c8af58ada6cb2cbef885f2d38ca6fb74fb7836c397dfb3521d"},"schema_version":"1.0","source":{"id":"1705.05559","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05559","created_at":"2026-05-18T00:38:26Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05559v1","created_at":"2026-05-18T00:38:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05559","created_at":"2026-05-18T00:38:26Z"},{"alias_kind":"pith_short_12","alias_value":"G4OZKGOBQNU2","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"G4OZKGOBQNU2ZLPX","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"G4OZKGOB","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:639853a0618da28082d3f7f22bddfb320bb37a776b817fc0ec025a9bc0869cf4","target":"graph","created_at":"2026-05-18T00:38:26Z","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 establish an asymptotic profile that sharply describes the behavior as $t\\to\\infty$ for solutions to a non-solenoidal approximation of the incompressible Navier-Stokes equations introduced by Temam. The solutions of Temam's model are known to converge to the corresponding solutions of the classical Navier-Stokes, e.g., in  $L^3\\_{\\rm loc} (R^+ \\times R^3)$, provided $\\epsilon\\to0$, where $\\epsilon>0$ is the physical parameter related to the artificial compressibility term. However, we show that such model is no longer a good approximation of Navier-Stokes for large times: indeed, its soluti","authors_text":"Lorenzo Brandolese (ICJ)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-16T07:33:59Z","title":"On a non-solenoidal approximation to the incompressible Navier-Stokes equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05559","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":"sha256:2a03373cf26b887084a0db714918eb2861931ce75997eef8a2a248fb4c1dc763","target":"record","created_at":"2026-05-18T00:38:26Z","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":"e774c8a3c0177f40b2951a8c40325414d7b05f36350370c77fc4cde11301c2cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-05-16T07:33:59Z","title_canon_sha256":"17aa3afade9682c8af58ada6cb2cbef885f2d38ca6fb74fb7836c397dfb3521d"},"schema_version":"1.0","source":{"id":"1705.05559","kind":"arxiv","version":1}},"canonical_sha256":"371d9519c18369acadf7bf99e4113b09727dd27a76b0fb518a09452c0b4ecaa3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"371d9519c18369acadf7bf99e4113b09727dd27a76b0fb518a09452c0b4ecaa3","first_computed_at":"2026-05-18T00:38:26.213961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:26.213961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v76lDqHvdSBkWKhsTRWG982YZT7LjYcdw0fOMop2mLVPvmMpPAoSX9ctWCIpfYDP0bts3kwrye6meSY6swryBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:26.214643Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05559","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a03373cf26b887084a0db714918eb2861931ce75997eef8a2a248fb4c1dc763","sha256:639853a0618da28082d3f7f22bddfb320bb37a776b817fc0ec025a9bc0869cf4"],"state_sha256":"007ea371ce9c8cb01f295c518e7fdb75a0de66671f4fd8f88fb3eaa5ff559796"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l1xNr6S9C64qD1Kl6/QzbLd0OxA3e4cPtTj2SYHDoBPM9z3HsWHUz5VCfTnCaH3417JrlVA3ajadHT/OVVA6Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:40:36.432726Z","bundle_sha256":"ac250da72448c4257ec61394e25fc693bd8913c6aa21a5d7e42f12a1561a0d68"}}