{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:EYAFHOJGJBFDHRSCE7HVHQUXKK","short_pith_number":"pith:EYAFHOJG","canonical_record":{"source":{"id":"2411.12958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-20T01:25:12Z","cross_cats_sorted":[],"title_canon_sha256":"9fe6fd2ec5b978e2a2ceab307af90ae0bb628456c46ea706074652b92822833c","abstract_canon_sha256":"cbc165b9a1661a4e06e9f5e301967a4db4cf25121492976e643ae1397943d373"},"schema_version":"1.0"},"canonical_sha256":"260053b926484a33c64227cf53c297528fb23270da3a3311d7ca8d26a29c6dc2","source":{"kind":"arxiv","id":"2411.12958","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.12958","created_at":"2026-07-05T09:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"2411.12958v1","created_at":"2026-07-05T09:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.12958","created_at":"2026-07-05T09:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"EYAFHOJGJBFD","created_at":"2026-07-05T09:38:02Z"},{"alias_kind":"pith_short_16","alias_value":"EYAFHOJGJBFDHRSC","created_at":"2026-07-05T09:38:02Z"},{"alias_kind":"pith_short_8","alias_value":"EYAFHOJG","created_at":"2026-07-05T09:38:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:EYAFHOJGJBFDHRSCE7HVHQUXKK","target":"record","payload":{"canonical_record":{"source":{"id":"2411.12958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-20T01:25:12Z","cross_cats_sorted":[],"title_canon_sha256":"9fe6fd2ec5b978e2a2ceab307af90ae0bb628456c46ea706074652b92822833c","abstract_canon_sha256":"cbc165b9a1661a4e06e9f5e301967a4db4cf25121492976e643ae1397943d373"},"schema_version":"1.0"},"canonical_sha256":"260053b926484a33c64227cf53c297528fb23270da3a3311d7ca8d26a29c6dc2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:38:02.653198Z","signature_b64":"Z7mxQOJ+utsP3G9WIu9W3MC4sr9k+f8PQP/gpCzRwonxmGgF1B8HpXOeTtH3R41C54QxjVSO89Z3TbSthOdZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"260053b926484a33c64227cf53c297528fb23270da3a3311d7ca8d26a29c6dc2","last_reissued_at":"2026-07-05T09:38:02.652697Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:38:02.652697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.12958","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":"2026-07-05T09:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BzFR1Z714NBFEznEf531kOkuhBq8+Bcmjfz8GB3z0v/WPvpDa6PCUI9+cX2ElkXyQGkieWehw6GhU786L77EDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T15:09:45.152381Z"},"content_sha256":"bb4477b511d657b2d413e40818b4a9298cac9efe07a51574072ed92553a8070b","schema_version":"1.0","event_id":"sha256:bb4477b511d657b2d413e40818b4a9298cac9efe07a51574072ed92553a8070b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:EYAFHOJGJBFDHRSCE7HVHQUXKK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence of analytic non-convex V-states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gerard Castro-L\\'opez, Javier G\\'omez-Serrano","submitted_at":"2024-11-20T01:25:12Z","abstract_excerpt":"V-states are uniformly rotating vortex patches of the incompressible 2D Euler equation and the only known explicit examples are circles and ellipses. In this paper, we prove the existence of non-convex V-states with analytic boundary which are far from the known examples. To prove it, we use a combination of analysis of the linearized operator at an approximate solution and computer-assisted proof techniques."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.12958","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.12958/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:38:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u0VLlvor0SLXLWXl2lY1+UCQc+y+IXCeDZm3nlrAYE7oznzlQy4fM5oDz+aq/Po0H+NRF3YDAkFgVSc+Qx6qAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T15:09:45.153351Z"},"content_sha256":"95543061e1de0b88baaba228d45144aa0296d5cb41880545bc251cd8f1105f36","schema_version":"1.0","event_id":"sha256:95543061e1de0b88baaba228d45144aa0296d5cb41880545bc251cd8f1105f36"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EYAFHOJGJBFDHRSCE7HVHQUXKK/bundle.json","state_url":"https://pith.science/pith/EYAFHOJGJBFDHRSCE7HVHQUXKK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EYAFHOJGJBFDHRSCE7HVHQUXKK/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":"2026-08-13T15:09:45Z","links":{"resolver":"https://pith.science/pith/EYAFHOJGJBFDHRSCE7HVHQUXKK","bundle":"https://pith.science/pith/EYAFHOJGJBFDHRSCE7HVHQUXKK/bundle.json","state":"https://pith.science/pith/EYAFHOJGJBFDHRSCE7HVHQUXKK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EYAFHOJGJBFDHRSCE7HVHQUXKK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:EYAFHOJGJBFDHRSCE7HVHQUXKK","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":"cbc165b9a1661a4e06e9f5e301967a4db4cf25121492976e643ae1397943d373","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-20T01:25:12Z","title_canon_sha256":"9fe6fd2ec5b978e2a2ceab307af90ae0bb628456c46ea706074652b92822833c"},"schema_version":"1.0","source":{"id":"2411.12958","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.12958","created_at":"2026-07-05T09:38:02Z"},{"alias_kind":"arxiv_version","alias_value":"2411.12958v1","created_at":"2026-07-05T09:38:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.12958","created_at":"2026-07-05T09:38:02Z"},{"alias_kind":"pith_short_12","alias_value":"EYAFHOJGJBFD","created_at":"2026-07-05T09:38:02Z"},{"alias_kind":"pith_short_16","alias_value":"EYAFHOJGJBFDHRSC","created_at":"2026-07-05T09:38:02Z"},{"alias_kind":"pith_short_8","alias_value":"EYAFHOJG","created_at":"2026-07-05T09:38:02Z"}],"graph_snapshots":[{"event_id":"sha256:95543061e1de0b88baaba228d45144aa0296d5cb41880545bc251cd8f1105f36","target":"graph","created_at":"2026-07-05T09:38:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.12958/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"V-states are uniformly rotating vortex patches of the incompressible 2D Euler equation and the only known explicit examples are circles and ellipses. In this paper, we prove the existence of non-convex V-states with analytic boundary which are far from the known examples. To prove it, we use a combination of analysis of the linearized operator at an approximate solution and computer-assisted proof techniques.","authors_text":"Gerard Castro-L\\'opez, Javier G\\'omez-Serrano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-20T01:25:12Z","title":"Existence of analytic non-convex V-states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.12958","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:bb4477b511d657b2d413e40818b4a9298cac9efe07a51574072ed92553a8070b","target":"record","created_at":"2026-07-05T09:38:02Z","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":"cbc165b9a1661a4e06e9f5e301967a4db4cf25121492976e643ae1397943d373","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-20T01:25:12Z","title_canon_sha256":"9fe6fd2ec5b978e2a2ceab307af90ae0bb628456c46ea706074652b92822833c"},"schema_version":"1.0","source":{"id":"2411.12958","kind":"arxiv","version":1}},"canonical_sha256":"260053b926484a33c64227cf53c297528fb23270da3a3311d7ca8d26a29c6dc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"260053b926484a33c64227cf53c297528fb23270da3a3311d7ca8d26a29c6dc2","first_computed_at":"2026-07-05T09:38:02.652697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:38:02.652697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z7mxQOJ+utsP3G9WIu9W3MC4sr9k+f8PQP/gpCzRwonxmGgF1B8HpXOeTtH3R41C54QxjVSO89Z3TbSthOdZBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:38:02.653198Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.12958","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb4477b511d657b2d413e40818b4a9298cac9efe07a51574072ed92553a8070b","sha256:95543061e1de0b88baaba228d45144aa0296d5cb41880545bc251cd8f1105f36"],"state_sha256":"bf44e80d94e040edfef953dd9b9b30d3cdeede48c36f57089ad38e610dfc2d72"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ssi+tTBoPGOLFzHCIUpk9oipUlFv3NVocUFvm3DH6Ry+T3L0mvYYtDKkcNjvtMPsQWW0BCO3XHyE/LGOoM37Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T15:09:45.340163Z","bundle_sha256":"d9931b5a2b0706daef5e7b757d29e9e6daa77b0fb175316eb21527cfe7a58fad"}}