{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:MHIUSUCD6SO2W6JCIDR3WIIQOX","short_pith_number":"pith:MHIUSUCD","schema_version":"1.0","canonical_sha256":"61d1495043f49dab792240e3bb211075c9eb7f3cd13e90eaa19ec7f06852458c","source":{"kind":"arxiv","id":"2410.21248","version":2},"attestation_state":"computed","paper":{"title":"Filtered instanton homology and cosmetic surgery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Aliakbar Daemi, Mike Miller Eismeier, Tye Lidman","submitted_at":"2024-10-28T17:46:38Z","abstract_excerpt":"The cosmetic surgery conjecture predicts that for a non-trivial knot in the three-sphere, performing two different Dehn surgeries results in distinct oriented three-manifolds. Hanselman reduced the problem to $\\pm 2$ or $\\pm 1/n$ surgeries being the only possible cosmetic surgeries. We remove the case of $\\pm 1/n$-surgeries using the Chern-Simons filtration on Floer's original irreducible-only instanton homology, reducing the conjecture to the case of $\\pm 2$ surgery on genus $2$ knots with trivial Alexander polynomial. We also prove some similar results for surgeries on knots in $S^2 \\times S"},"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":"2410.21248","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2024-10-28T17:46:38Z","cross_cats_sorted":[],"title_canon_sha256":"5d22fbe4b194506b48f06cc6b6c76367804b475bcbdcd6c96d07d6b773278888","abstract_canon_sha256":"1aae703ca6f79118ae950b5666d4254ee8906d6292ec8484320ff83fdfc40c66"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:36:30.726338Z","signature_b64":"NtTvka9w6FavM1/Ep1h5Jh1mjU20dl7VEMxUAp4g4m+Wkd2Qh3Emi+5c6rSaSu8IGQ05amzQRNGNH8fOdpN2AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"61d1495043f49dab792240e3bb211075c9eb7f3cd13e90eaa19ec7f06852458c","last_reissued_at":"2026-07-05T10:36:30.725782Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:36:30.725782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Filtered instanton homology and cosmetic surgery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Aliakbar Daemi, Mike Miller Eismeier, Tye Lidman","submitted_at":"2024-10-28T17:46:38Z","abstract_excerpt":"The cosmetic surgery conjecture predicts that for a non-trivial knot in the three-sphere, performing two different Dehn surgeries results in distinct oriented three-manifolds. Hanselman reduced the problem to $\\pm 2$ or $\\pm 1/n$ surgeries being the only possible cosmetic surgeries. We remove the case of $\\pm 1/n$-surgeries using the Chern-Simons filtration on Floer's original irreducible-only instanton homology, reducing the conjecture to the case of $\\pm 2$ surgery on genus $2$ knots with trivial Alexander polynomial. We also prove some similar results for surgeries on knots in $S^2 \\times S"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.21248","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/2410.21248/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":"2410.21248","created_at":"2026-07-05T10:36:30.725842+00:00"},{"alias_kind":"arxiv_version","alias_value":"2410.21248v2","created_at":"2026-07-05T10:36:30.725842+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.21248","created_at":"2026-07-05T10:36:30.725842+00:00"},{"alias_kind":"pith_short_12","alias_value":"MHIUSUCD6SO2","created_at":"2026-07-05T10:36:30.725842+00:00"},{"alias_kind":"pith_short_16","alias_value":"MHIUSUCD6SO2W6JC","created_at":"2026-07-05T10:36:30.725842+00:00"},{"alias_kind":"pith_short_8","alias_value":"MHIUSUCD","created_at":"2026-07-05T10:36:30.725842+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.02672","citing_title":"Families of cosmetic surgeries","ref_index":1,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MHIUSUCD6SO2W6JCIDR3WIIQOX","json":"https://pith.science/pith/MHIUSUCD6SO2W6JCIDR3WIIQOX.json","graph_json":"https://pith.science/api/pith-number/MHIUSUCD6SO2W6JCIDR3WIIQOX/graph.json","events_json":"https://pith.science/api/pith-number/MHIUSUCD6SO2W6JCIDR3WIIQOX/events.json","paper":"https://pith.science/paper/MHIUSUCD"},"agent_actions":{"view_html":"https://pith.science/pith/MHIUSUCD6SO2W6JCIDR3WIIQOX","download_json":"https://pith.science/pith/MHIUSUCD6SO2W6JCIDR3WIIQOX.json","view_paper":"https://pith.science/paper/MHIUSUCD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2410.21248&json=true","fetch_graph":"https://pith.science/api/pith-number/MHIUSUCD6SO2W6JCIDR3WIIQOX/graph.json","fetch_events":"https://pith.science/api/pith-number/MHIUSUCD6SO2W6JCIDR3WIIQOX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MHIUSUCD6SO2W6JCIDR3WIIQOX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MHIUSUCD6SO2W6JCIDR3WIIQOX/action/storage_attestation","attest_author":"https://pith.science/pith/MHIUSUCD6SO2W6JCIDR3WIIQOX/action/author_attestation","sign_citation":"https://pith.science/pith/MHIUSUCD6SO2W6JCIDR3WIIQOX/action/citation_signature","submit_replication":"https://pith.science/pith/MHIUSUCD6SO2W6JCIDR3WIIQOX/action/replication_record"}},"created_at":"2026-07-05T10:36:30.725842+00:00","updated_at":"2026-07-05T10:36:30.725842+00:00"}