{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:E74PZ5LEXWMED3KXHKJB2A4R6O","short_pith_number":"pith:E74PZ5LE","canonical_record":{"source":{"id":"1811.01553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-05T08:44:20Z","cross_cats_sorted":[],"title_canon_sha256":"ac2f63248eb452dfac7fef264dab246eae36bbc2f4d20e6671f747650e152cd3","abstract_canon_sha256":"1df854bcc9d31a8351222b58eafab3f70663ca098a9eb5e3ddaed8ca52c672dc"},"schema_version":"1.0"},"canonical_sha256":"27f8fcf564bd9841ed573a921d0391f3ba5ba2f8bffbcb4fadde2296383db37a","source":{"kind":"arxiv","id":"1811.01553","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.01553","created_at":"2026-05-18T00:01:33Z"},{"alias_kind":"arxiv_version","alias_value":"1811.01553v1","created_at":"2026-05-18T00:01:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01553","created_at":"2026-05-18T00:01:33Z"},{"alias_kind":"pith_short_12","alias_value":"E74PZ5LEXWME","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"E74PZ5LEXWMED3KX","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"E74PZ5LE","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:E74PZ5LEXWMED3KXHKJB2A4R6O","target":"record","payload":{"canonical_record":{"source":{"id":"1811.01553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-05T08:44:20Z","cross_cats_sorted":[],"title_canon_sha256":"ac2f63248eb452dfac7fef264dab246eae36bbc2f4d20e6671f747650e152cd3","abstract_canon_sha256":"1df854bcc9d31a8351222b58eafab3f70663ca098a9eb5e3ddaed8ca52c672dc"},"schema_version":"1.0"},"canonical_sha256":"27f8fcf564bd9841ed573a921d0391f3ba5ba2f8bffbcb4fadde2296383db37a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:33.989352Z","signature_b64":"4deje7tYSyj7TFvu09+LGgDT67J1nB78x0fTA5Shy4M7FltMV+L3qle+s0BaqYqGdz0VvOgzxG0tFjcijuw+Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"27f8fcf564bd9841ed573a921d0391f3ba5ba2f8bffbcb4fadde2296383db37a","last_reissued_at":"2026-05-18T00:01:33.988813Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:33.988813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.01553","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":"2026-05-18T00:01:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4RA8zndmtUyI5l3ARZR1Da4re8s/yvdFvdCcjahUoVk4nPtAux+TT/+j++KS33mjoFeHct9TRYZxj5pdK3s8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T09:57:16.097442Z"},"content_sha256":"683d62599fed868d6eab8978d3fd0e96e89c3984d983a6e79bf943e30e516569","schema_version":"1.0","event_id":"sha256:683d62599fed868d6eab8978d3fd0e96e89c3984d983a6e79bf943e30e516569"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:E74PZ5LEXWMED3KXHKJB2A4R6O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong continuity for the 2D Euler equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Elizaveta Semenova, Gianluca Crippa, Stefano Spirito","submitted_at":"2018-11-05T08:44:20Z","abstract_excerpt":"We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution. The second result provides uniform continuity and is restricted to H\\\"older continuous solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01553","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":"2026-05-18T00:01:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MrtJ6ps3Q/gfjyHSoTNWNSzMaYWv5nYtZZEzKBrihT6WxEGER/haLIrhDaAnE3IcjrN/oztEJqvJlkNLtSIWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T09:57:16.097782Z"},"content_sha256":"a2df6bdfa7e7828622129d3c0730bad8ccdb984c133b7c410e76522eb1e6016e","schema_version":"1.0","event_id":"sha256:a2df6bdfa7e7828622129d3c0730bad8ccdb984c133b7c410e76522eb1e6016e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E74PZ5LEXWMED3KXHKJB2A4R6O/bundle.json","state_url":"https://pith.science/pith/E74PZ5LEXWMED3KXHKJB2A4R6O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E74PZ5LEXWMED3KXHKJB2A4R6O/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":"2026-06-20T09:57:16Z","links":{"resolver":"https://pith.science/pith/E74PZ5LEXWMED3KXHKJB2A4R6O","bundle":"https://pith.science/pith/E74PZ5LEXWMED3KXHKJB2A4R6O/bundle.json","state":"https://pith.science/pith/E74PZ5LEXWMED3KXHKJB2A4R6O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E74PZ5LEXWMED3KXHKJB2A4R6O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:E74PZ5LEXWMED3KXHKJB2A4R6O","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":"1df854bcc9d31a8351222b58eafab3f70663ca098a9eb5e3ddaed8ca52c672dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-05T08:44:20Z","title_canon_sha256":"ac2f63248eb452dfac7fef264dab246eae36bbc2f4d20e6671f747650e152cd3"},"schema_version":"1.0","source":{"id":"1811.01553","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.01553","created_at":"2026-05-18T00:01:33Z"},{"alias_kind":"arxiv_version","alias_value":"1811.01553v1","created_at":"2026-05-18T00:01:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.01553","created_at":"2026-05-18T00:01:33Z"},{"alias_kind":"pith_short_12","alias_value":"E74PZ5LEXWME","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"E74PZ5LEXWMED3KX","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"E74PZ5LE","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:a2df6bdfa7e7828622129d3c0730bad8ccdb984c133b7c410e76522eb1e6016e","target":"graph","created_at":"2026-05-18T00:01:33Z","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 prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution. The second result provides uniform continuity and is restricted to H\\\"older continuous solutions.","authors_text":"Elizaveta Semenova, Gianluca Crippa, Stefano Spirito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-05T08:44:20Z","title":"Strong continuity for the 2D Euler equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.01553","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":"sha256:683d62599fed868d6eab8978d3fd0e96e89c3984d983a6e79bf943e30e516569","target":"record","created_at":"2026-05-18T00:01:33Z","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":"1df854bcc9d31a8351222b58eafab3f70663ca098a9eb5e3ddaed8ca52c672dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-11-05T08:44:20Z","title_canon_sha256":"ac2f63248eb452dfac7fef264dab246eae36bbc2f4d20e6671f747650e152cd3"},"schema_version":"1.0","source":{"id":"1811.01553","kind":"arxiv","version":1}},"canonical_sha256":"27f8fcf564bd9841ed573a921d0391f3ba5ba2f8bffbcb4fadde2296383db37a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27f8fcf564bd9841ed573a921d0391f3ba5ba2f8bffbcb4fadde2296383db37a","first_computed_at":"2026-05-18T00:01:33.988813Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:33.988813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4deje7tYSyj7TFvu09+LGgDT67J1nB78x0fTA5Shy4M7FltMV+L3qle+s0BaqYqGdz0VvOgzxG0tFjcijuw+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:33.989352Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.01553","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:683d62599fed868d6eab8978d3fd0e96e89c3984d983a6e79bf943e30e516569","sha256:a2df6bdfa7e7828622129d3c0730bad8ccdb984c133b7c410e76522eb1e6016e"],"state_sha256":"79d8ffa45d26e29c77bb2d78c8586abb7017e3012e2233d89981e1962ba386d9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4J3Ez0Z2quMYvF/rUNGIzdWUufv20QSfv9tvaFme9ZpYd7xFrBYMwWdr8YhYi+iuX3NWKAxZ97EwEQGJZ8VgDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T09:57:16.099567Z","bundle_sha256":"2448f3c68c1f0c2edbe5fe8fbc522907a9c6ef1b4eefd2c97a98673418be7911"}}