{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:NZCXVGOVSH4KC2DEL7EOTZGTAW","short_pith_number":"pith:NZCXVGOV","canonical_record":{"source":{"id":"2312.17610","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-12-29T14:10:50Z","cross_cats_sorted":[],"title_canon_sha256":"8b5c0c0b534849f918f994de1431ad1711c16ebef778354b113a4cb4a278264f","abstract_canon_sha256":"4b00a2a6ce1ffbd7061b766dd4cdfe535581e311a582b15aeaaba6d33be4aa7e"},"schema_version":"1.0"},"canonical_sha256":"6e457a99d591f8a168645fc8e9e4d30587b9e80fad779e3709bd2b38c3072eba","source":{"kind":"arxiv","id":"2312.17610","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.17610","created_at":"2026-07-05T07:28:54Z"},{"alias_kind":"arxiv_version","alias_value":"2312.17610v1","created_at":"2026-07-05T07:28:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.17610","created_at":"2026-07-05T07:28:54Z"},{"alias_kind":"pith_short_12","alias_value":"NZCXVGOVSH4K","created_at":"2026-07-05T07:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"NZCXVGOVSH4KC2DE","created_at":"2026-07-05T07:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"NZCXVGOV","created_at":"2026-07-05T07:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:NZCXVGOVSH4KC2DEL7EOTZGTAW","target":"record","payload":{"canonical_record":{"source":{"id":"2312.17610","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-12-29T14:10:50Z","cross_cats_sorted":[],"title_canon_sha256":"8b5c0c0b534849f918f994de1431ad1711c16ebef778354b113a4cb4a278264f","abstract_canon_sha256":"4b00a2a6ce1ffbd7061b766dd4cdfe535581e311a582b15aeaaba6d33be4aa7e"},"schema_version":"1.0"},"canonical_sha256":"6e457a99d591f8a168645fc8e9e4d30587b9e80fad779e3709bd2b38c3072eba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:28:54.233645Z","signature_b64":"mwBWrQT9tSkEU+r1KKtETx7Obg44gcE5o4oU6Uzm9FwXX2J+CWp3A8X9+rjRQ/DN23xoV/rzg9mzUKrgE4VjBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e457a99d591f8a168645fc8e9e4d30587b9e80fad779e3709bd2b38c3072eba","last_reissued_at":"2026-07-05T07:28:54.233200Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:28:54.233200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.17610","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":"2026-07-05T07:28:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HgWohM+bq1/NsGBgd/HOvNg0lEc3/vKuZehHpdhrd7oCehbw1Vzav6+UwSX58Bv1EBvZ5q+lCIPHNAGE/h7/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T06:25:21.771874Z"},"content_sha256":"80d17b9f866073ff3ad7c8959829911b649825237366faf701aae0c2e069b7a3","schema_version":"1.0","event_id":"sha256:80d17b9f866073ff3ad7c8959829911b649825237366faf701aae0c2e069b7a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:NZCXVGOVSH4KC2DEL7EOTZGTAW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wellposedness and singularity formation beyond the Yudovich class","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ayman R. Said, Ryan W. Murray, Tarek M. Elgindi","submitted_at":"2023-12-29T14:10:50Z","abstract_excerpt":"We introduce a local-in-time existence and uniqueness class for solutions to the 2d Euler equation with unbounded vorticity. Furthermore, we show that solutions belonging to this class can develop stronger singularities in finite time, meaning that they experience finite time blow up and exit the wellposedness class. Such solutions may be continued as weak solutions (potentially non-uniquely) after the singularity. While the general dynamics of 2d Euler solutions beyond the Yudovich class will certainly not be so tame, studying such solutions gives a way to study singular phenomena in a more c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.17610","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/2312.17610/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":"2026-07-05T07:28:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kFWxu660Ary6z3KE4K17eKcd4Xo4gHf+eCU4++fwLd6/XCYN2Yebig3bnVEUG672AdTYVRGMDjxwN4BKTh5JDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T06:25:21.772372Z"},"content_sha256":"0e3a4f2269d4f150f835662d938e670e0073f22b0b76faf66194b6cefaa52788","schema_version":"1.0","event_id":"sha256:0e3a4f2269d4f150f835662d938e670e0073f22b0b76faf66194b6cefaa52788"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NZCXVGOVSH4KC2DEL7EOTZGTAW/bundle.json","state_url":"https://pith.science/pith/NZCXVGOVSH4KC2DEL7EOTZGTAW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NZCXVGOVSH4KC2DEL7EOTZGTAW/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":"2026-08-09T06:25:21Z","links":{"resolver":"https://pith.science/pith/NZCXVGOVSH4KC2DEL7EOTZGTAW","bundle":"https://pith.science/pith/NZCXVGOVSH4KC2DEL7EOTZGTAW/bundle.json","state":"https://pith.science/pith/NZCXVGOVSH4KC2DEL7EOTZGTAW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NZCXVGOVSH4KC2DEL7EOTZGTAW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NZCXVGOVSH4KC2DEL7EOTZGTAW","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":"4b00a2a6ce1ffbd7061b766dd4cdfe535581e311a582b15aeaaba6d33be4aa7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-12-29T14:10:50Z","title_canon_sha256":"8b5c0c0b534849f918f994de1431ad1711c16ebef778354b113a4cb4a278264f"},"schema_version":"1.0","source":{"id":"2312.17610","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.17610","created_at":"2026-07-05T07:28:54Z"},{"alias_kind":"arxiv_version","alias_value":"2312.17610v1","created_at":"2026-07-05T07:28:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.17610","created_at":"2026-07-05T07:28:54Z"},{"alias_kind":"pith_short_12","alias_value":"NZCXVGOVSH4K","created_at":"2026-07-05T07:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"NZCXVGOVSH4KC2DE","created_at":"2026-07-05T07:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"NZCXVGOV","created_at":"2026-07-05T07:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:0e3a4f2269d4f150f835662d938e670e0073f22b0b76faf66194b6cefaa52788","target":"graph","created_at":"2026-07-05T07:28:54Z","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/2312.17610/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a local-in-time existence and uniqueness class for solutions to the 2d Euler equation with unbounded vorticity. Furthermore, we show that solutions belonging to this class can develop stronger singularities in finite time, meaning that they experience finite time blow up and exit the wellposedness class. Such solutions may be continued as weak solutions (potentially non-uniquely) after the singularity. While the general dynamics of 2d Euler solutions beyond the Yudovich class will certainly not be so tame, studying such solutions gives a way to study singular phenomena in a more c","authors_text":"Ayman R. Said, Ryan W. Murray, Tarek M. Elgindi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-12-29T14:10:50Z","title":"Wellposedness and singularity formation beyond the Yudovich class"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.17610","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":"sha256:80d17b9f866073ff3ad7c8959829911b649825237366faf701aae0c2e069b7a3","target":"record","created_at":"2026-07-05T07:28:54Z","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":"4b00a2a6ce1ffbd7061b766dd4cdfe535581e311a582b15aeaaba6d33be4aa7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-12-29T14:10:50Z","title_canon_sha256":"8b5c0c0b534849f918f994de1431ad1711c16ebef778354b113a4cb4a278264f"},"schema_version":"1.0","source":{"id":"2312.17610","kind":"arxiv","version":1}},"canonical_sha256":"6e457a99d591f8a168645fc8e9e4d30587b9e80fad779e3709bd2b38c3072eba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e457a99d591f8a168645fc8e9e4d30587b9e80fad779e3709bd2b38c3072eba","first_computed_at":"2026-07-05T07:28:54.233200Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:28:54.233200Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mwBWrQT9tSkEU+r1KKtETx7Obg44gcE5o4oU6Uzm9FwXX2J+CWp3A8X9+rjRQ/DN23xoV/rzg9mzUKrgE4VjBw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:28:54.233645Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.17610","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80d17b9f866073ff3ad7c8959829911b649825237366faf701aae0c2e069b7a3","sha256:0e3a4f2269d4f150f835662d938e670e0073f22b0b76faf66194b6cefaa52788"],"state_sha256":"028dd14cfa5f0f0af9f1d93f693c6a25123f4f6f55e6885202fe0a096e4166a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JAsn5bQaX+ahS3lZyQQz1Ildbrha/qnlMeCWKoN7uFI84/nNwLKW3HKxEWOyns0/8xIKdSzXKZ8PFvwdyp6OAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T06:25:21.776034Z","bundle_sha256":"d55abe03cd618a8917adf8a2723d8457816ff13c9ed0059fff75d468e5205ab7"}}