{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:GO3HXCPLXLFCG3YCYLJEDGESLC","short_pith_number":"pith:GO3HXCPL","schema_version":"1.0","canonical_sha256":"33b67b89ebbaca236f02c2d241989258853278841c7ebcec5ea96df5fd559937","source":{"kind":"arxiv","id":"1408.1508","version":1},"attestation_state":"computed","paper":{"title":"Surgery obstructions and Heegaard Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Cagri Karakurt, Jennifer Hom, Tye Lidman","submitted_at":"2014-08-07T08:02:17Z","abstract_excerpt":"Using Taubes' periodic ends theorem, Auckly gave examples of toroidal and hyperbolic irreducible integer homology spheres which are not surgery on a knot in the three-sphere. We give an obstruction to a homology sphere being surgery on a knot coming from Heegaard Floer homology. This is used to construct infinitely many small Seifert fibered examples."},"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":"1408.1508","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-07T08:02:17Z","cross_cats_sorted":[],"title_canon_sha256":"098e1b9223c33a212a87dabf4edfa5eb187ed6e03f47daf147adec46311eca7c","abstract_canon_sha256":"f5b365c4ac4a9febdf9810197c00a4dec391b1d35699bf9820f3198d4e90fb75"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:14.868505Z","signature_b64":"dz38MVQVkoLUdP3ntJY7pn1IB85lzEFSJ9JAZbX+clJGBAK9PhnbwXPYJGBboSy1jUPEVtjXqU1w80rtpkphDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33b67b89ebbaca236f02c2d241989258853278841c7ebcec5ea96df5fd559937","last_reissued_at":"2026-05-18T01:04:14.868111Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:14.868111Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Surgery obstructions and Heegaard Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Cagri Karakurt, Jennifer Hom, Tye Lidman","submitted_at":"2014-08-07T08:02:17Z","abstract_excerpt":"Using Taubes' periodic ends theorem, Auckly gave examples of toroidal and hyperbolic irreducible integer homology spheres which are not surgery on a knot in the three-sphere. We give an obstruction to a homology sphere being surgery on a knot coming from Heegaard Floer homology. This is used to construct infinitely many small Seifert fibered examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1508","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":""},"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":"1408.1508","created_at":"2026-05-18T01:04:14.868170+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.1508v1","created_at":"2026-05-18T01:04:14.868170+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1508","created_at":"2026-05-18T01:04:14.868170+00:00"},{"alias_kind":"pith_short_12","alias_value":"GO3HXCPLXLFC","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"GO3HXCPLXLFCG3YC","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"GO3HXCPL","created_at":"2026-05-18T12:28:30.664211+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GO3HXCPLXLFCG3YCYLJEDGESLC","json":"https://pith.science/pith/GO3HXCPLXLFCG3YCYLJEDGESLC.json","graph_json":"https://pith.science/api/pith-number/GO3HXCPLXLFCG3YCYLJEDGESLC/graph.json","events_json":"https://pith.science/api/pith-number/GO3HXCPLXLFCG3YCYLJEDGESLC/events.json","paper":"https://pith.science/paper/GO3HXCPL"},"agent_actions":{"view_html":"https://pith.science/pith/GO3HXCPLXLFCG3YCYLJEDGESLC","download_json":"https://pith.science/pith/GO3HXCPLXLFCG3YCYLJEDGESLC.json","view_paper":"https://pith.science/paper/GO3HXCPL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.1508&json=true","fetch_graph":"https://pith.science/api/pith-number/GO3HXCPLXLFCG3YCYLJEDGESLC/graph.json","fetch_events":"https://pith.science/api/pith-number/GO3HXCPLXLFCG3YCYLJEDGESLC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GO3HXCPLXLFCG3YCYLJEDGESLC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GO3HXCPLXLFCG3YCYLJEDGESLC/action/storage_attestation","attest_author":"https://pith.science/pith/GO3HXCPLXLFCG3YCYLJEDGESLC/action/author_attestation","sign_citation":"https://pith.science/pith/GO3HXCPLXLFCG3YCYLJEDGESLC/action/citation_signature","submit_replication":"https://pith.science/pith/GO3HXCPLXLFCG3YCYLJEDGESLC/action/replication_record"}},"created_at":"2026-05-18T01:04:14.868170+00:00","updated_at":"2026-05-18T01:04:14.868170+00:00"}