{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KLBPHZZG7IP5AWH4DZSTDNGVBZ","short_pith_number":"pith:KLBPHZZG","canonical_record":{"source":{"id":"1302.2815","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-12T15:19:06Z","cross_cats_sorted":[],"title_canon_sha256":"7245aa70d4bf1ae10bf63892d3d51457b75125958610d538c8143a92b173906e","abstract_canon_sha256":"89409cfb87f77f804fa4fe68a68addca312a222d7e5c24289af60716e9611eb1"},"schema_version":"1.0"},"canonical_sha256":"52c2f3e726fa1fd058fc1e6531b4d50e6963aec013fa5cb284540a38d21f6e78","source":{"kind":"arxiv","id":"1302.2815","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2815","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2815v3","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2815","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"KLBPHZZG7IP5","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KLBPHZZG7IP5AWH4","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KLBPHZZG","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KLBPHZZG7IP5AWH4DZSTDNGVBZ","target":"record","payload":{"canonical_record":{"source":{"id":"1302.2815","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-12T15:19:06Z","cross_cats_sorted":[],"title_canon_sha256":"7245aa70d4bf1ae10bf63892d3d51457b75125958610d538c8143a92b173906e","abstract_canon_sha256":"89409cfb87f77f804fa4fe68a68addca312a222d7e5c24289af60716e9611eb1"},"schema_version":"1.0"},"canonical_sha256":"52c2f3e726fa1fd058fc1e6531b4d50e6963aec013fa5cb284540a38d21f6e78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:01.541518Z","signature_b64":"e+u9Ou8JlZjhB740Y7Yk24HM370SLcz6EnGQb2d/f2RxeJ6JOmJ39hsB4nK1SxfguL3bL74JTV9Qb8SDjT3xAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52c2f3e726fa1fd058fc1e6531b4d50e6963aec013fa5cb284540a38d21f6e78","last_reissued_at":"2026-05-18T03:05:01.540678Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:01.540678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.2815","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:05:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0EZdPo2S3rDXDjohZfgvSbAXJptUF1pnD9U0lDrOgYGLf9qr5bVll/zH4NcbWHMyauUoox0vXAi1mRsHcHOlCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:45:34.804736Z"},"content_sha256":"e65effaa128ee5da820e7060ab6d332688469fd6479d98bc467383b8ed00c862","schema_version":"1.0","event_id":"sha256:e65effaa128ee5da820e7060ab6d332688469fd6479d98bc467383b8ed00c862"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KLBPHZZG7IP5AWH4DZSTDNGVBZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transporting microstructure and dissipative Euler flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Camillo De Lellis, L\\'aszl\\'o Sz\\'ekelyhidi Jr, Tristan Buckmaster","submitted_at":"2013-02-12T15:19:06Z","abstract_excerpt":"Recently the second and third author developed an iterative scheme for obtaining rough solutions of the 3D incompressible Euler equations in H\\\"older spaces (arXiv:1202.1751 and arXiv:1205.3626 (2012)). The motivation comes from Onsager's conjecture. The construction involves a superposition of weakly interacting perturbed Beltrami flows on infinitely many scales. An obstruction to better regularity arises from the errors in the linear transport of a fast periodic flow by a slow velocity field.\n  In a recent paper P. Isett (arXiv:1211.4065) has improved upon our methods, introducing some novel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2815","kind":"arxiv","version":3},"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":"2026-05-18T03:05:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UBYK8nrxSOcsnkTqWQLziDr4Zd6+0qK+sQrEwo8QjeI0rE4B1I3rc5p8Ntp4PanWbiEq1DsQigJePZ/7RyifAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:45:34.805082Z"},"content_sha256":"dee9dfbcc7cca8114f877d1784784594611ed9022b5dabf0759e98b22aba5608","schema_version":"1.0","event_id":"sha256:dee9dfbcc7cca8114f877d1784784594611ed9022b5dabf0759e98b22aba5608"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KLBPHZZG7IP5AWH4DZSTDNGVBZ/bundle.json","state_url":"https://pith.science/pith/KLBPHZZG7IP5AWH4DZSTDNGVBZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KLBPHZZG7IP5AWH4DZSTDNGVBZ/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":"2026-06-01T16:45:34Z","links":{"resolver":"https://pith.science/pith/KLBPHZZG7IP5AWH4DZSTDNGVBZ","bundle":"https://pith.science/pith/KLBPHZZG7IP5AWH4DZSTDNGVBZ/bundle.json","state":"https://pith.science/pith/KLBPHZZG7IP5AWH4DZSTDNGVBZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KLBPHZZG7IP5AWH4DZSTDNGVBZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KLBPHZZG7IP5AWH4DZSTDNGVBZ","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":"89409cfb87f77f804fa4fe68a68addca312a222d7e5c24289af60716e9611eb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-12T15:19:06Z","title_canon_sha256":"7245aa70d4bf1ae10bf63892d3d51457b75125958610d538c8143a92b173906e"},"schema_version":"1.0","source":{"id":"1302.2815","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2815","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2815v3","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2815","created_at":"2026-05-18T03:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"KLBPHZZG7IP5","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KLBPHZZG7IP5AWH4","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KLBPHZZG","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:dee9dfbcc7cca8114f877d1784784594611ed9022b5dabf0759e98b22aba5608","target":"graph","created_at":"2026-05-18T03:05:01Z","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":"Recently the second and third author developed an iterative scheme for obtaining rough solutions of the 3D incompressible Euler equations in H\\\"older spaces (arXiv:1202.1751 and arXiv:1205.3626 (2012)). The motivation comes from Onsager's conjecture. The construction involves a superposition of weakly interacting perturbed Beltrami flows on infinitely many scales. An obstruction to better regularity arises from the errors in the linear transport of a fast periodic flow by a slow velocity field.\n  In a recent paper P. Isett (arXiv:1211.4065) has improved upon our methods, introducing some novel","authors_text":"Camillo De Lellis, L\\'aszl\\'o Sz\\'ekelyhidi Jr, Tristan Buckmaster","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-12T15:19:06Z","title":"Transporting microstructure and dissipative Euler flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2815","kind":"arxiv","version":3},"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:e65effaa128ee5da820e7060ab6d332688469fd6479d98bc467383b8ed00c862","target":"record","created_at":"2026-05-18T03:05:01Z","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":"89409cfb87f77f804fa4fe68a68addca312a222d7e5c24289af60716e9611eb1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-02-12T15:19:06Z","title_canon_sha256":"7245aa70d4bf1ae10bf63892d3d51457b75125958610d538c8143a92b173906e"},"schema_version":"1.0","source":{"id":"1302.2815","kind":"arxiv","version":3}},"canonical_sha256":"52c2f3e726fa1fd058fc1e6531b4d50e6963aec013fa5cb284540a38d21f6e78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52c2f3e726fa1fd058fc1e6531b4d50e6963aec013fa5cb284540a38d21f6e78","first_computed_at":"2026-05-18T03:05:01.540678Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:01.540678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e+u9Ou8JlZjhB740Y7Yk24HM370SLcz6EnGQb2d/f2RxeJ6JOmJ39hsB4nK1SxfguL3bL74JTV9Qb8SDjT3xAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:01.541518Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.2815","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e65effaa128ee5da820e7060ab6d332688469fd6479d98bc467383b8ed00c862","sha256:dee9dfbcc7cca8114f877d1784784594611ed9022b5dabf0759e98b22aba5608"],"state_sha256":"28b5cf51ba7d928f12e2e5e912469d16e7fff4261d63382c748a721f660938a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T4DurgKLSU1V/ibySfVvFiWIlSwBXBj7/szI5CpCIAktECmvDD3cKeKZhyq/qvqr5LAkDnla9q1iOrt8WNyJDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:45:34.806975Z","bundle_sha256":"b461738cd2f8e01ccbe0fda897d1010cda84f44601b89db98987992de640b11f"}}