{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RGRZFIUIKTSYI7D7WL6GKUXLMD","short_pith_number":"pith:RGRZFIUI","canonical_record":{"source":{"id":"1402.2305","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-10T21:22:15Z","cross_cats_sorted":[],"title_canon_sha256":"15113408eb6e93b12444ba5b7721ac971699b1e4b569287ea6a9e4a9a266f4ae","abstract_canon_sha256":"1441e6600a11009f15b51a2ad517ff1a252d1b73510b58441bd117f21fbd5a22"},"schema_version":"1.0"},"canonical_sha256":"89a392a28854e5847c7fb2fc6552eb60ec94ef01de8ff88718bc4312090a28d4","source":{"kind":"arxiv","id":"1402.2305","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2305","created_at":"2026-05-18T02:18:58Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2305v2","created_at":"2026-05-18T02:18:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2305","created_at":"2026-05-18T02:18:58Z"},{"alias_kind":"pith_short_12","alias_value":"RGRZFIUIKTSY","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RGRZFIUIKTSYI7D7","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RGRZFIUI","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RGRZFIUIKTSYI7D7WL6GKUXLMD","target":"record","payload":{"canonical_record":{"source":{"id":"1402.2305","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-10T21:22:15Z","cross_cats_sorted":[],"title_canon_sha256":"15113408eb6e93b12444ba5b7721ac971699b1e4b569287ea6a9e4a9a266f4ae","abstract_canon_sha256":"1441e6600a11009f15b51a2ad517ff1a252d1b73510b58441bd117f21fbd5a22"},"schema_version":"1.0"},"canonical_sha256":"89a392a28854e5847c7fb2fc6552eb60ec94ef01de8ff88718bc4312090a28d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:58.485583Z","signature_b64":"a2bnugCqV4r7HkmAMpmUOiZ1UiGEpC+uRy6WT2zagZe8foei6ZuNozEpKQ/lnCR6s4dBPAau/Ujp1psUOg5MCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"89a392a28854e5847c7fb2fc6552eb60ec94ef01de8ff88718bc4312090a28d4","last_reissued_at":"2026-05-18T02:18:58.485063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:58.485063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.2305","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:18:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y25jZ6Qu1yHCcJNvIPpsQuThxWiW/7nkihDkczoqE0tQPWbGBmJDTEhBuFg8of4aTo4PX+TbPQk0y3vkM3GuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:41:17.652025Z"},"content_sha256":"8d4ccd322fb4748cd737f4f33ecda8bb653346bea25b4cba89eaf67736827b71","schema_version":"1.0","event_id":"sha256:8d4ccd322fb4748cd737f4f33ecda8bb653346bea25b4cba89eaf67736827b71"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RGRZFIUIKTSYI7D7WL6GKUXLMD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Nonperiodic Euler Flows with H\\\"{o}lder Regularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Philip Isett, Sung-Jin Oh","submitted_at":"2014-02-10T21:22:15Z","abstract_excerpt":"In [Isett,13], the first author proposed a strengthening of Onsager's conjecture on the failure of energy conservation for incompressible Euler flows with H\\\"{o}lder regularity not exceeding $1/3$. This stronger form of the conjecture implies that anomalous dissipation will fail for a generic Euler flow with regularity below the Onsager critical space $L_t^\\infty B_{3,\\infty}^{1/3}$ due to low regularity of the energy profile. In this paper, we establish two theorems that may be viewed as first steps towards establishing the conjectured failure of energy regularity for generic solutions with H"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2305","kind":"arxiv","version":2},"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":"2026-05-18T02:18:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TTS9YFDSyAGtZVWIbt/Z9EjkF6T0XZ1MBZs/w4bKna5JGegoWrVnC5k2jBEzGlPBhh1yxaBd4Jl2Fng+dOFpAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T09:41:17.652393Z"},"content_sha256":"5365304618eb699636d408d32df5ac7246263551769cdb85ca824846ad3df8cf","schema_version":"1.0","event_id":"sha256:5365304618eb699636d408d32df5ac7246263551769cdb85ca824846ad3df8cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGRZFIUIKTSYI7D7WL6GKUXLMD/bundle.json","state_url":"https://pith.science/pith/RGRZFIUIKTSYI7D7WL6GKUXLMD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGRZFIUIKTSYI7D7WL6GKUXLMD/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":"2026-06-03T09:41:17Z","links":{"resolver":"https://pith.science/pith/RGRZFIUIKTSYI7D7WL6GKUXLMD","bundle":"https://pith.science/pith/RGRZFIUIKTSYI7D7WL6GKUXLMD/bundle.json","state":"https://pith.science/pith/RGRZFIUIKTSYI7D7WL6GKUXLMD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGRZFIUIKTSYI7D7WL6GKUXLMD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RGRZFIUIKTSYI7D7WL6GKUXLMD","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":"1441e6600a11009f15b51a2ad517ff1a252d1b73510b58441bd117f21fbd5a22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-10T21:22:15Z","title_canon_sha256":"15113408eb6e93b12444ba5b7721ac971699b1e4b569287ea6a9e4a9a266f4ae"},"schema_version":"1.0","source":{"id":"1402.2305","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2305","created_at":"2026-05-18T02:18:58Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2305v2","created_at":"2026-05-18T02:18:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2305","created_at":"2026-05-18T02:18:58Z"},{"alias_kind":"pith_short_12","alias_value":"RGRZFIUIKTSY","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RGRZFIUIKTSYI7D7","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RGRZFIUI","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:5365304618eb699636d408d32df5ac7246263551769cdb85ca824846ad3df8cf","target":"graph","created_at":"2026-05-18T02:18:58Z","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":"In [Isett,13], the first author proposed a strengthening of Onsager's conjecture on the failure of energy conservation for incompressible Euler flows with H\\\"{o}lder regularity not exceeding $1/3$. This stronger form of the conjecture implies that anomalous dissipation will fail for a generic Euler flow with regularity below the Onsager critical space $L_t^\\infty B_{3,\\infty}^{1/3}$ due to low regularity of the energy profile. In this paper, we establish two theorems that may be viewed as first steps towards establishing the conjectured failure of energy regularity for generic solutions with H","authors_text":"Philip Isett, Sung-Jin Oh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-10T21:22:15Z","title":"On Nonperiodic Euler Flows with H\\\"{o}lder Regularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2305","kind":"arxiv","version":2},"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":"sha256:8d4ccd322fb4748cd737f4f33ecda8bb653346bea25b4cba89eaf67736827b71","target":"record","created_at":"2026-05-18T02:18:58Z","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":"1441e6600a11009f15b51a2ad517ff1a252d1b73510b58441bd117f21fbd5a22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-02-10T21:22:15Z","title_canon_sha256":"15113408eb6e93b12444ba5b7721ac971699b1e4b569287ea6a9e4a9a266f4ae"},"schema_version":"1.0","source":{"id":"1402.2305","kind":"arxiv","version":2}},"canonical_sha256":"89a392a28854e5847c7fb2fc6552eb60ec94ef01de8ff88718bc4312090a28d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89a392a28854e5847c7fb2fc6552eb60ec94ef01de8ff88718bc4312090a28d4","first_computed_at":"2026-05-18T02:18:58.485063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:58.485063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a2bnugCqV4r7HkmAMpmUOiZ1UiGEpC+uRy6WT2zagZe8foei6ZuNozEpKQ/lnCR6s4dBPAau/Ujp1psUOg5MCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:58.485583Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2305","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d4ccd322fb4748cd737f4f33ecda8bb653346bea25b4cba89eaf67736827b71","sha256:5365304618eb699636d408d32df5ac7246263551769cdb85ca824846ad3df8cf"],"state_sha256":"d36bdad0a59e56b16fefdcfbc41a955df72950371922622dd3ab266a20e09946"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tC+zl7g3CFsDUKJGM3+Qqfw7zBgxlNkl6g0MgkUZo70c+oAoM4N0UJ/ERrKx1QnkwfKO84lOjIHoatTgB+/YDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T09:41:17.654347Z","bundle_sha256":"6a20360a9903b8507fb2038107e259a38871dd8abad3c34504b579e798fb83c9"}}