{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:KSDCTCNE6SZI62BY3H5MDFGODZ","short_pith_number":"pith:KSDCTCNE","schema_version":"1.0","canonical_sha256":"54862989a4f4b28f6838d9fac194ce1e5fec559cff8222975ad9f2e3fe6648a1","source":{"kind":"arxiv","id":"1806.02483","version":1},"attestation_state":"computed","paper":{"title":"On the Extension of Onsager's Conjecture for General Conservation Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Agnieszka \\'Swierczewska-Gwiazda, Claude Bardos, Edriss S. Titi, Emil Wiedemann, Piotr Gwiazda","submitted_at":"2018-06-07T01:43:09Z","abstract_excerpt":"The aim of this work is to extend and prove the Onsager conjecture for a class of conservation laws that possess generalized entropy. One of the main findings of this work is the \"universality\" of the Onsager exponent, $\\alpha > 1/3$, concerning the regularity of the solutions, say in $C^{0,\\alpha}$, that guarantees the conservation of the generalized entropy; regardless of the structure of the genuine nonlinearity in the underlying system."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1806.02483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-06-07T01:43:09Z","cross_cats_sorted":[],"title_canon_sha256":"dfe4832d63211bb5037145fed2d3d16893879c8cd76adec6a44c1ab98f759496","abstract_canon_sha256":"8254c2c66b0d8e2752f4d0875759391c4541fdd594a25ef5f71b581afbd669b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:05.402349Z","signature_b64":"/4F6bNQlftceDCYQ+S3UVFP6Ozc18lZh2ivdapXzMX2LzJHzA/w+rsxG3TyyiBzG4ommANrdEMw8f9bvGOaBAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54862989a4f4b28f6838d9fac194ce1e5fec559cff8222975ad9f2e3fe6648a1","last_reissued_at":"2026-05-18T00:03:05.401862Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:05.401862Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Extension of Onsager's Conjecture for General Conservation Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Agnieszka \\'Swierczewska-Gwiazda, Claude Bardos, Edriss S. Titi, Emil Wiedemann, Piotr Gwiazda","submitted_at":"2018-06-07T01:43:09Z","abstract_excerpt":"The aim of this work is to extend and prove the Onsager conjecture for a class of conservation laws that possess generalized entropy. One of the main findings of this work is the \"universality\" of the Onsager exponent, $\\alpha > 1/3$, concerning the regularity of the solutions, say in $C^{0,\\alpha}$, that guarantees the conservation of the generalized entropy; regardless of the structure of the genuine nonlinearity in the underlying system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02483","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1806.02483","created_at":"2026-05-18T00:03:05.401926+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.02483v1","created_at":"2026-05-18T00:03:05.401926+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.02483","created_at":"2026-05-18T00:03:05.401926+00:00"},{"alias_kind":"pith_short_12","alias_value":"KSDCTCNE6SZI","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"KSDCTCNE6SZI62BY","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"KSDCTCNE","created_at":"2026-05-18T12:32:33.847187+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KSDCTCNE6SZI62BY3H5MDFGODZ","json":"https://pith.science/pith/KSDCTCNE6SZI62BY3H5MDFGODZ.json","graph_json":"https://pith.science/api/pith-number/KSDCTCNE6SZI62BY3H5MDFGODZ/graph.json","events_json":"https://pith.science/api/pith-number/KSDCTCNE6SZI62BY3H5MDFGODZ/events.json","paper":"https://pith.science/paper/KSDCTCNE"},"agent_actions":{"view_html":"https://pith.science/pith/KSDCTCNE6SZI62BY3H5MDFGODZ","download_json":"https://pith.science/pith/KSDCTCNE6SZI62BY3H5MDFGODZ.json","view_paper":"https://pith.science/paper/KSDCTCNE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.02483&json=true","fetch_graph":"https://pith.science/api/pith-number/KSDCTCNE6SZI62BY3H5MDFGODZ/graph.json","fetch_events":"https://pith.science/api/pith-number/KSDCTCNE6SZI62BY3H5MDFGODZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KSDCTCNE6SZI62BY3H5MDFGODZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KSDCTCNE6SZI62BY3H5MDFGODZ/action/storage_attestation","attest_author":"https://pith.science/pith/KSDCTCNE6SZI62BY3H5MDFGODZ/action/author_attestation","sign_citation":"https://pith.science/pith/KSDCTCNE6SZI62BY3H5MDFGODZ/action/citation_signature","submit_replication":"https://pith.science/pith/KSDCTCNE6SZI62BY3H5MDFGODZ/action/replication_record"}},"created_at":"2026-05-18T00:03:05.401926+00:00","updated_at":"2026-05-18T00:03:05.401926+00:00"}