{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CPUQ7Q7MJU4VLE2VIMUI3TBLMK","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":"aabe2f36294a0542e7db61949e6cef3095d8ff49e9b08a3161c2c54aa55758f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-13T19:17:14Z","title_canon_sha256":"cc75be9a6bf617f07f730b11ed8fe0fb75bae97ec845f69f17bc0dc7b679d3c7"},"schema_version":"1.0","source":{"id":"1203.2895","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.2895","created_at":"2026-05-18T04:00:14Z"},{"alias_kind":"arxiv_version","alias_value":"1203.2895v1","created_at":"2026-05-18T04:00:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2895","created_at":"2026-05-18T04:00:14Z"},{"alias_kind":"pith_short_12","alias_value":"CPUQ7Q7MJU4V","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CPUQ7Q7MJU4VLE2V","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CPUQ7Q7M","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:f833a8c47837b643656c3b3ceb28442eb57477a8cc2ddc7914521b8cf3b507db","target":"graph","created_at":"2026-05-18T04:00:14Z","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":"We describe some relations between the properties of the Cauchy problem for an ODE and the properties of the Cauchy problem for the associated continuity equation in the class of measures.","authors_text":"Patrick Bernard (CEREMADE)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-13T19:17:14Z","title":"Some remarks on the continuity equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2895","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":"sha256:50c41c5b0a3c88f17ebe1cf33310a2ea5b5e35d46a5b1a601b1a2c617a0aef4a","target":"record","created_at":"2026-05-18T04:00:14Z","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":"aabe2f36294a0542e7db61949e6cef3095d8ff49e9b08a3161c2c54aa55758f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-13T19:17:14Z","title_canon_sha256":"cc75be9a6bf617f07f730b11ed8fe0fb75bae97ec845f69f17bc0dc7b679d3c7"},"schema_version":"1.0","source":{"id":"1203.2895","kind":"arxiv","version":1}},"canonical_sha256":"13e90fc3ec4d3955935543288dcc2b629e026ca979f69992aaeffebdb4aae7f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13e90fc3ec4d3955935543288dcc2b629e026ca979f69992aaeffebdb4aae7f5","first_computed_at":"2026-05-18T04:00:14.271828Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:14.271828Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MySPDF7zrG1x/XFTBlUn6HkvMjFIvJS+wpUJSr68ZQZ2kjhZl1joShFQlTXg7jgM47kU3ct5p+NUBmSFayD5CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:14.272731Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.2895","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50c41c5b0a3c88f17ebe1cf33310a2ea5b5e35d46a5b1a601b1a2c617a0aef4a","sha256:f833a8c47837b643656c3b3ceb28442eb57477a8cc2ddc7914521b8cf3b507db"],"state_sha256":"72fbc7c4d92b2766abfd00346e159b43a0b595037d403ca6a22f96afa4723df7"}