{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LO3OOI4NJ2NAJTHCEWU3X7O47Z","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":"f97d23e7274ecc5161d7cb8ce774f8e8d276765b9fd5cce88bdc005b1ab43bba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-04-11T14:45:02Z","title_canon_sha256":"8f89605bac38623e72b32ab2c530c5efd5f45c875904d506b176da655ee8bfb6"},"schema_version":"1.0","source":{"id":"1304.3327","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.3327","created_at":"2026-05-18T03:28:17Z"},{"alias_kind":"arxiv_version","alias_value":"1304.3327v1","created_at":"2026-05-18T03:28:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.3327","created_at":"2026-05-18T03:28:17Z"},{"alias_kind":"pith_short_12","alias_value":"LO3OOI4NJ2NA","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LO3OOI4NJ2NAJTHC","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LO3OOI4N","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:acfca185d1bb028ea1289cef72a754814f8e625584ed0b8815dda68b19ff798b","target":"graph","created_at":"2026-05-18T03:28:17Z","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 extend the concept of expansive measure \\cite{am} defined for homeomorphism to flows. We obtain some properties for such measures including abscense of singularities in the support, aperiodicity, expansivity with respect to time-$T$ maps, invariance under flow-equivalence, negligibleness of orbits, characterization of expansive measures for expansive flows and naturallity under suspensions. As an application we obtain a new proof of the well known fact that there are no continuous expansive flows on surfaces (e.g. \\cite{hs}).","authors_text":"C. A. Morales, D. Carrasco-Olivera","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-04-11T14:45:02Z","title":"Expansive measures for flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.3327","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:c0c3204ad87ebc84f25fefc64bebcf497561241713d74b6f1837078ae3b8634c","target":"record","created_at":"2026-05-18T03:28:17Z","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":"f97d23e7274ecc5161d7cb8ce774f8e8d276765b9fd5cce88bdc005b1ab43bba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-04-11T14:45:02Z","title_canon_sha256":"8f89605bac38623e72b32ab2c530c5efd5f45c875904d506b176da655ee8bfb6"},"schema_version":"1.0","source":{"id":"1304.3327","kind":"arxiv","version":1}},"canonical_sha256":"5bb6e7238d4e9a04cce225a9bbfddcfe73c56411acdab80326c52f74efc4cd05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5bb6e7238d4e9a04cce225a9bbfddcfe73c56411acdab80326c52f74efc4cd05","first_computed_at":"2026-05-18T03:28:17.966798Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:17.966798Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NYJbI7UGH8YipritW+YlVvWkqpQ/+kp1+nyt+kyxOl3OCkbrDKzaHv0qh7zUROcmqAyuVBhT62Q4WCFrJYWNCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:17.967338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.3327","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0c3204ad87ebc84f25fefc64bebcf497561241713d74b6f1837078ae3b8634c","sha256:acfca185d1bb028ea1289cef72a754814f8e625584ed0b8815dda68b19ff798b"],"state_sha256":"57c7ebe9e8379014f0236295476ec4cdf8c9aefcbfee8174a7d391717d025ed8"}