{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:QBT553J4TRJ6BG4ODJ7FWNBL7Q","short_pith_number":"pith:QBT553J4","canonical_record":{"source":{"id":"1605.06663","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-21T15:56:30Z","cross_cats_sorted":[],"title_canon_sha256":"39686b1b89c88cf1d6099bfb3ee438336bfbe4437c0916eb287f92383f00c497","abstract_canon_sha256":"4c8a3131cbd2d72b6f4333c14888c4639202a8869e1e5a2e190b56d5529d5f23"},"schema_version":"1.0"},"canonical_sha256":"8067deed3c9c53e09b8e1a7e5b342bfc1d6fb78001018f34468bef70fd35d6df","source":{"kind":"arxiv","id":"1605.06663","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06663","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06663v3","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06663","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"QBT553J4TRJ6","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QBT553J4TRJ6BG4O","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QBT553J4","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:QBT553J4TRJ6BG4ODJ7FWNBL7Q","target":"record","payload":{"canonical_record":{"source":{"id":"1605.06663","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-21T15:56:30Z","cross_cats_sorted":[],"title_canon_sha256":"39686b1b89c88cf1d6099bfb3ee438336bfbe4437c0916eb287f92383f00c497","abstract_canon_sha256":"4c8a3131cbd2d72b6f4333c14888c4639202a8869e1e5a2e190b56d5529d5f23"},"schema_version":"1.0"},"canonical_sha256":"8067deed3c9c53e09b8e1a7e5b342bfc1d6fb78001018f34468bef70fd35d6df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:31.425137Z","signature_b64":"QJG8Oz4tVz5bbSfSYk61mkszNlOqF1YVyogKwR+Ib0mck2oR1Z2W/caIlvcPN3zsEdUggWisA7sJTkevotEsCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8067deed3c9c53e09b8e1a7e5b342bfc1d6fb78001018f34468bef70fd35d6df","last_reissued_at":"2026-05-18T00:43:31.424679Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:31.424679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.06663","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":"2026-05-18T00:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pfj0V7dLFBUcWRZ3RN6Xs06L+BGU4qXsZc/zbgH8bj0DxdFp41u7KsEbzcr137V74pKp2VxiXoufpK/0KyHmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T05:27:59.959594Z"},"content_sha256":"39f951e9be297e5299b477bc13d801dff7d6f81ef118ea818b869e0b9a04e34a","schema_version":"1.0","event_id":"sha256:39f951e9be297e5299b477bc13d801dff7d6f81ef118ea818b869e0b9a04e34a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:QBT553J4TRJ6BG4ODJ7FWNBL7Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniqueness for SQG patch solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Antonio C\\'ordoba, Diego C\\'ordoba, Francisco Gancedo","submitted_at":"2016-05-21T15:56:30Z","abstract_excerpt":"This paper is about the evolution of a temperature front governed by the Surface quasi-geostrophic equation. The existence part of that program within the scale of Sobolev spaces was obtained by one of the authors [10]. Here we revisit that proof introducing some new tools and points of view which allow us to conclude the also needed uniqueness result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06663","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":"2026-05-18T00:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PNQr0iDmI8XLwdHilhfRT8ZYEqdyx6Au9Nsrui3xWPvDwuf1YxaytyddayNIrR3iGjh7BCkBaHzA8jHJ7YUVBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T05:27:59.959940Z"},"content_sha256":"f04465bca8db6487eeec63625e8459e0750cfbe45f79a5652ebd391a445795ea","schema_version":"1.0","event_id":"sha256:f04465bca8db6487eeec63625e8459e0750cfbe45f79a5652ebd391a445795ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBT553J4TRJ6BG4ODJ7FWNBL7Q/bundle.json","state_url":"https://pith.science/pith/QBT553J4TRJ6BG4ODJ7FWNBL7Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBT553J4TRJ6BG4ODJ7FWNBL7Q/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":"2026-06-22T05:27:59Z","links":{"resolver":"https://pith.science/pith/QBT553J4TRJ6BG4ODJ7FWNBL7Q","bundle":"https://pith.science/pith/QBT553J4TRJ6BG4ODJ7FWNBL7Q/bundle.json","state":"https://pith.science/pith/QBT553J4TRJ6BG4ODJ7FWNBL7Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBT553J4TRJ6BG4ODJ7FWNBL7Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:QBT553J4TRJ6BG4ODJ7FWNBL7Q","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":"4c8a3131cbd2d72b6f4333c14888c4639202a8869e1e5a2e190b56d5529d5f23","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-21T15:56:30Z","title_canon_sha256":"39686b1b89c88cf1d6099bfb3ee438336bfbe4437c0916eb287f92383f00c497"},"schema_version":"1.0","source":{"id":"1605.06663","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06663","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06663v3","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06663","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"QBT553J4TRJ6","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"QBT553J4TRJ6BG4O","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"QBT553J4","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:f04465bca8db6487eeec63625e8459e0750cfbe45f79a5652ebd391a445795ea","target":"graph","created_at":"2026-05-18T00:43:31Z","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":"This paper is about the evolution of a temperature front governed by the Surface quasi-geostrophic equation. The existence part of that program within the scale of Sobolev spaces was obtained by one of the authors [10]. Here we revisit that proof introducing some new tools and points of view which allow us to conclude the also needed uniqueness result.","authors_text":"Antonio C\\'ordoba, Diego C\\'ordoba, Francisco Gancedo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-21T15:56:30Z","title":"Uniqueness for SQG patch solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06663","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":"sha256:39f951e9be297e5299b477bc13d801dff7d6f81ef118ea818b869e0b9a04e34a","target":"record","created_at":"2026-05-18T00:43:31Z","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":"4c8a3131cbd2d72b6f4333c14888c4639202a8869e1e5a2e190b56d5529d5f23","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-05-21T15:56:30Z","title_canon_sha256":"39686b1b89c88cf1d6099bfb3ee438336bfbe4437c0916eb287f92383f00c497"},"schema_version":"1.0","source":{"id":"1605.06663","kind":"arxiv","version":3}},"canonical_sha256":"8067deed3c9c53e09b8e1a7e5b342bfc1d6fb78001018f34468bef70fd35d6df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8067deed3c9c53e09b8e1a7e5b342bfc1d6fb78001018f34468bef70fd35d6df","first_computed_at":"2026-05-18T00:43:31.424679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:31.424679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QJG8Oz4tVz5bbSfSYk61mkszNlOqF1YVyogKwR+Ib0mck2oR1Z2W/caIlvcPN3zsEdUggWisA7sJTkevotEsCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:31.425137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.06663","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39f951e9be297e5299b477bc13d801dff7d6f81ef118ea818b869e0b9a04e34a","sha256:f04465bca8db6487eeec63625e8459e0750cfbe45f79a5652ebd391a445795ea"],"state_sha256":"892422042884b5f7585c2f022c12a710b6de54b872d2adb051fe8d70fa83f457"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"owLHdSK5tPpiTyzOSliwejQZfNK4grHTaSd6nbp/JxKM6u/0zeVTcK3ZE0jgHubSSyMRTDalNY50a2YIJ0JDBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T05:27:59.961775Z","bundle_sha256":"7bc0ad8d41c415d03e47d8e3cbdb61bb83fbdb400fe07e6ae1bbcab03ba9e851"}}