{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:FRPP2BR2TXHV7U6OQRMWEOY66V","short_pith_number":"pith:FRPP2BR2","schema_version":"1.0","canonical_sha256":"2c5efd063a9dcf5fd3ce8459623b1ef5520ff861cd313ff826614f92b705af23","source":{"kind":"arxiv","id":"1910.14357","version":1},"attestation_state":"computed","paper":{"title":"Orbit Growth Of Contact Structures After Surgery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DS","authors_text":"Anne Vaugon (LMO), Boris Hasselblatt, Patrick Foulon (CIRM)","submitted_at":"2019-10-31T10:43:42Z","abstract_excerpt":"Investigation of the effects of a contact surgery construction and of invariance of contact homology reveals a rich new field of inquiry at the intersection of dynamical systems and contact geometry. We produce contact 3-flows not topologically orbit-equivalent to any algebraic flow, including examples on many hyperbolic 3-manifolds, and we show how the surgery produces dynamical complexity for any Reeb flow compatible with the resulting contact structure. This includes exponential complexity when neither the surg-ered flow nor the surgered manifold are hyperbolic. We also demonstrate the use "},"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":"1910.14357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-10-31T10:43:42Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"b78af09626d3e0acba8866f86851d734b1bea1a4cd51d3dd6d5ef69b5e7b385e","abstract_canon_sha256":"2c8a5ebd7bf1183328cb13daad4eccbbcb5dc086f51fba4c8f0029db67dba7ba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:16:09.931621Z","signature_b64":"RsU+LN1eUTe43nO59DOwMjNdJ+nnyjwpMcTKuRl6f5pguBH7SHyzo6ZfT5+R87PJ1ScXrpa4DB3mkkCHLSzmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c5efd063a9dcf5fd3ce8459623b1ef5520ff861cd313ff826614f92b705af23","last_reissued_at":"2026-07-05T00:16:09.931176Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:16:09.931176Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orbit Growth Of Contact Structures After Surgery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DS","authors_text":"Anne Vaugon (LMO), Boris Hasselblatt, Patrick Foulon (CIRM)","submitted_at":"2019-10-31T10:43:42Z","abstract_excerpt":"Investigation of the effects of a contact surgery construction and of invariance of contact homology reveals a rich new field of inquiry at the intersection of dynamical systems and contact geometry. We produce contact 3-flows not topologically orbit-equivalent to any algebraic flow, including examples on many hyperbolic 3-manifolds, and we show how the surgery produces dynamical complexity for any Reeb flow compatible with the resulting contact structure. This includes exponential complexity when neither the surg-ered flow nor the surgered manifold are hyperbolic. We also demonstrate the use "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.14357","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/1910.14357/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1910.14357","created_at":"2026-07-05T00:16:09.931240+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.14357v1","created_at":"2026-07-05T00:16:09.931240+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.14357","created_at":"2026-07-05T00:16:09.931240+00:00"},{"alias_kind":"pith_short_12","alias_value":"FRPP2BR2TXHV","created_at":"2026-07-05T00:16:09.931240+00:00"},{"alias_kind":"pith_short_16","alias_value":"FRPP2BR2TXHV7U6O","created_at":"2026-07-05T00:16:09.931240+00:00"},{"alias_kind":"pith_short_8","alias_value":"FRPP2BR2","created_at":"2026-07-05T00:16:09.931240+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.02324","citing_title":"$C^0$ stability of boundary actions and inequivalent Anosov flows","ref_index":21,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FRPP2BR2TXHV7U6OQRMWEOY66V","json":"https://pith.science/pith/FRPP2BR2TXHV7U6OQRMWEOY66V.json","graph_json":"https://pith.science/api/pith-number/FRPP2BR2TXHV7U6OQRMWEOY66V/graph.json","events_json":"https://pith.science/api/pith-number/FRPP2BR2TXHV7U6OQRMWEOY66V/events.json","paper":"https://pith.science/paper/FRPP2BR2"},"agent_actions":{"view_html":"https://pith.science/pith/FRPP2BR2TXHV7U6OQRMWEOY66V","download_json":"https://pith.science/pith/FRPP2BR2TXHV7U6OQRMWEOY66V.json","view_paper":"https://pith.science/paper/FRPP2BR2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.14357&json=true","fetch_graph":"https://pith.science/api/pith-number/FRPP2BR2TXHV7U6OQRMWEOY66V/graph.json","fetch_events":"https://pith.science/api/pith-number/FRPP2BR2TXHV7U6OQRMWEOY66V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FRPP2BR2TXHV7U6OQRMWEOY66V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FRPP2BR2TXHV7U6OQRMWEOY66V/action/storage_attestation","attest_author":"https://pith.science/pith/FRPP2BR2TXHV7U6OQRMWEOY66V/action/author_attestation","sign_citation":"https://pith.science/pith/FRPP2BR2TXHV7U6OQRMWEOY66V/action/citation_signature","submit_replication":"https://pith.science/pith/FRPP2BR2TXHV7U6OQRMWEOY66V/action/replication_record"}},"created_at":"2026-07-05T00:16:09.931240+00:00","updated_at":"2026-07-05T00:16:09.931240+00:00"}