{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:F76PNNFYLZV64NQSUBE7GXRPPS","short_pith_number":"pith:F76PNNFY","schema_version":"1.0","canonical_sha256":"2ffcf6b4b85e6bee3612a049f35e2f7c8016ebf0c48454ad3648dc3214f69a08","source":{"kind":"arxiv","id":"2202.01328","version":2},"attestation_state":"computed","paper":{"title":"Goodman surgery and projectively Anosov flows","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.GT","math.SG"],"primary_cat":"math.DS","authors_text":"Federico Salmoiraghi","submitted_at":"2022-02-02T23:39:04Z","abstract_excerpt":"We introduce a generalization of Goodman surgery to the category of projectively Anosov flows. This construction is performed along a knot that is simultaneously Legendrian and transverse for a supporting bi-contact structure. If the flow is Anosov there is a particular class of supporting bi-contact structures that induce Lorentzian metrics satisfying Barbot's criterion of hyperbolicity. Foulon and Hasselblatt construct new contact Anosov flows by surgery from a geodesic flow. We generalize their result showing that in any contact Anosov flow there is a family of Legendrian knots that can be "},"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":"2202.01328","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DS","submitted_at":"2022-02-02T23:39:04Z","cross_cats_sorted":["math.GT","math.SG"],"title_canon_sha256":"64b44410d7414ac31e13bd18397b7c3634ff47ef8d716be6c8cfe0909cb7aafe","abstract_canon_sha256":"2ffe0a0a5a0281b7fb0780d1470b591c55c9256b99c4985daed8781773cfcf8d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:26:39.509809Z","signature_b64":"AjiqX5niwiT/PhtlwFq6LYVed9HNrbSgmjlpdlBtCjG6CU5yqPO76+Sgrmi0ZVJZFlR6xMutXZZuBEFwdS2hBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ffcf6b4b85e6bee3612a049f35e2f7c8016ebf0c48454ad3648dc3214f69a08","last_reissued_at":"2026-07-05T06:26:39.509366Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:26:39.509366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Goodman surgery and projectively Anosov flows","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.GT","math.SG"],"primary_cat":"math.DS","authors_text":"Federico Salmoiraghi","submitted_at":"2022-02-02T23:39:04Z","abstract_excerpt":"We introduce a generalization of Goodman surgery to the category of projectively Anosov flows. This construction is performed along a knot that is simultaneously Legendrian and transverse for a supporting bi-contact structure. If the flow is Anosov there is a particular class of supporting bi-contact structures that induce Lorentzian metrics satisfying Barbot's criterion of hyperbolicity. Foulon and Hasselblatt construct new contact Anosov flows by surgery from a geodesic flow. We generalize their result showing that in any contact Anosov flow there is a family of Legendrian knots that can be "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.01328","kind":"arxiv","version":2},"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/2202.01328/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":"2202.01328","created_at":"2026-07-05T06:26:39.509425+00:00"},{"alias_kind":"arxiv_version","alias_value":"2202.01328v2","created_at":"2026-07-05T06:26:39.509425+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.01328","created_at":"2026-07-05T06:26:39.509425+00:00"},{"alias_kind":"pith_short_12","alias_value":"F76PNNFYLZV6","created_at":"2026-07-05T06:26:39.509425+00:00"},{"alias_kind":"pith_short_16","alias_value":"F76PNNFYLZV64NQS","created_at":"2026-07-05T06:26:39.509425+00:00"},{"alias_kind":"pith_short_8","alias_value":"F76PNNFY","created_at":"2026-07-05T06:26:39.509425+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.28316","citing_title":"Infinite ECH Capacities and Anosov Flows","ref_index":79,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/F76PNNFYLZV64NQSUBE7GXRPPS","json":"https://pith.science/pith/F76PNNFYLZV64NQSUBE7GXRPPS.json","graph_json":"https://pith.science/api/pith-number/F76PNNFYLZV64NQSUBE7GXRPPS/graph.json","events_json":"https://pith.science/api/pith-number/F76PNNFYLZV64NQSUBE7GXRPPS/events.json","paper":"https://pith.science/paper/F76PNNFY"},"agent_actions":{"view_html":"https://pith.science/pith/F76PNNFYLZV64NQSUBE7GXRPPS","download_json":"https://pith.science/pith/F76PNNFYLZV64NQSUBE7GXRPPS.json","view_paper":"https://pith.science/paper/F76PNNFY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2202.01328&json=true","fetch_graph":"https://pith.science/api/pith-number/F76PNNFYLZV64NQSUBE7GXRPPS/graph.json","fetch_events":"https://pith.science/api/pith-number/F76PNNFYLZV64NQSUBE7GXRPPS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F76PNNFYLZV64NQSUBE7GXRPPS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F76PNNFYLZV64NQSUBE7GXRPPS/action/storage_attestation","attest_author":"https://pith.science/pith/F76PNNFYLZV64NQSUBE7GXRPPS/action/author_attestation","sign_citation":"https://pith.science/pith/F76PNNFYLZV64NQSUBE7GXRPPS/action/citation_signature","submit_replication":"https://pith.science/pith/F76PNNFYLZV64NQSUBE7GXRPPS/action/replication_record"}},"created_at":"2026-07-05T06:26:39.509425+00:00","updated_at":"2026-07-05T06:26:39.509425+00:00"}