{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PB2EGG5D73427PUKUY7YNCGFJL","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":"29a916b77f2db057c932269f642170760220f9c13411e86b09dc1ea8a6d313ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-13T13:50:14Z","title_canon_sha256":"f3df76695cf02868722f60580f38272cdf82c601cfa00611756ad3b840142354"},"schema_version":"1.0","source":{"id":"1410.3309","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.3309","created_at":"2026-05-18T02:40:11Z"},{"alias_kind":"arxiv_version","alias_value":"1410.3309v1","created_at":"2026-05-18T02:40:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.3309","created_at":"2026-05-18T02:40:11Z"},{"alias_kind":"pith_short_12","alias_value":"PB2EGG5D7342","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PB2EGG5D73427PUK","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PB2EGG5D","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:d51974443cfae15376f48b7d1c2531f558aad765c6aa697f18c9c4d0a37c7364","target":"graph","created_at":"2026-05-18T02:40:11Z","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":"In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained via vanishing viscosity approximation are renormalized.","authors_text":"Gianluca Crippa, Stefano Spirito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-13T13:50:14Z","title":"Renormalized solutions of the 2d Euler equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.3309","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:a4b585a0de2388e4ab828c5cda1e049f9dbe8890ad10571a113f2b8eb9dca6f9","target":"record","created_at":"2026-05-18T02:40:11Z","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":"29a916b77f2db057c932269f642170760220f9c13411e86b09dc1ea8a6d313ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-13T13:50:14Z","title_canon_sha256":"f3df76695cf02868722f60580f38272cdf82c601cfa00611756ad3b840142354"},"schema_version":"1.0","source":{"id":"1410.3309","kind":"arxiv","version":1}},"canonical_sha256":"7874431ba3fef9afbe8aa63f8688c54ae02b44eb18f1e011f92aaa20b4116074","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7874431ba3fef9afbe8aa63f8688c54ae02b44eb18f1e011f92aaa20b4116074","first_computed_at":"2026-05-18T02:40:11.588389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:11.588389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CESecEgQSJIYz37OAwgj7SqKVEqdb/QPID1MlT3KcvWR11ZyBGGCvvD83izo8PNfC6/Sv75P9+GP6OLbVpe5CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:11.588806Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.3309","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4b585a0de2388e4ab828c5cda1e049f9dbe8890ad10571a113f2b8eb9dca6f9","sha256:d51974443cfae15376f48b7d1c2531f558aad765c6aa697f18c9c4d0a37c7364"],"state_sha256":"fa84a61af3f047bf9c11ea02f13accabbed2ac452a4ba537c911d458cbcb1df5"}