{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:7XFZ325D4LH3IMSQBP3S2OWUFX","short_pith_number":"pith:7XFZ325D","schema_version":"1.0","canonical_sha256":"fdcb9deba3e2cfb432500bf72d3ad42df0f2517391b925643cce49a8f8e7b796","source":{"kind":"arxiv","id":"1904.04628","version":2},"attestation_state":"computed","paper":{"title":"Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Nathan M. Dunfield","submitted_at":"2019-04-09T12:50:42Z","abstract_excerpt":"This paper explores the conjecture that the following are equivalent for rational homology 3-spheres: having left-orderable fundamental group, having non-minimal Heegaard Floer homology, and admitting a co-orientable taut foliation. In particular, it adds further evidence in favor of this conjecture by studying these three properties for more than 300,000 hyperbolic rational homology 3-spheres. New or much improved methods for studying each of these properties form the bulk of the paper, including a new combinatorial criterion, called a foliar orientation, for showing that a 3-manifold has a t"},"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":"1904.04628","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-04-09T12:50:42Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"bac3cb59bbae7bfbd02ea4fcd5763e2396d1ed72e6313d6eefee9aff27a1462c","abstract_canon_sha256":"61a80b30b999780993a4fc45fa97805565fc78ac7e98b2046184bad473c55e73"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:52:14.667791Z","signature_b64":"uQURZ4jTq1u+Otl0iDYMXBJwdArlFpt9OQMqhRon66Z7H1tN0RGcIuyIPm98z7MiT958iZpuEZwF5ma8IUc1BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdcb9deba3e2cfb432500bf72d3ad42df0f2517391b925643cce49a8f8e7b796","last_reissued_at":"2026-07-05T01:52:14.667365Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:52:14.667365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.GT","authors_text":"Nathan M. Dunfield","submitted_at":"2019-04-09T12:50:42Z","abstract_excerpt":"This paper explores the conjecture that the following are equivalent for rational homology 3-spheres: having left-orderable fundamental group, having non-minimal Heegaard Floer homology, and admitting a co-orientable taut foliation. In particular, it adds further evidence in favor of this conjecture by studying these three properties for more than 300,000 hyperbolic rational homology 3-spheres. New or much improved methods for studying each of these properties form the bulk of the paper, including a new combinatorial criterion, called a foliar orientation, for showing that a 3-manifold has a t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.04628","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/1904.04628/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":"1904.04628","created_at":"2026-07-05T01:52:14.667422+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.04628v2","created_at":"2026-07-05T01:52:14.667422+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.04628","created_at":"2026-07-05T01:52:14.667422+00:00"},{"alias_kind":"pith_short_12","alias_value":"7XFZ325D4LH3","created_at":"2026-07-05T01:52:14.667422+00:00"},{"alias_kind":"pith_short_16","alias_value":"7XFZ325D4LH3IMSQ","created_at":"2026-07-05T01:52:14.667422+00:00"},{"alias_kind":"pith_short_8","alias_value":"7XFZ325D","created_at":"2026-07-05T01:52:14.667422+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/7XFZ325D4LH3IMSQBP3S2OWUFX","json":"https://pith.science/pith/7XFZ325D4LH3IMSQBP3S2OWUFX.json","graph_json":"https://pith.science/api/pith-number/7XFZ325D4LH3IMSQBP3S2OWUFX/graph.json","events_json":"https://pith.science/api/pith-number/7XFZ325D4LH3IMSQBP3S2OWUFX/events.json","paper":"https://pith.science/paper/7XFZ325D"},"agent_actions":{"view_html":"https://pith.science/pith/7XFZ325D4LH3IMSQBP3S2OWUFX","download_json":"https://pith.science/pith/7XFZ325D4LH3IMSQBP3S2OWUFX.json","view_paper":"https://pith.science/paper/7XFZ325D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.04628&json=true","fetch_graph":"https://pith.science/api/pith-number/7XFZ325D4LH3IMSQBP3S2OWUFX/graph.json","fetch_events":"https://pith.science/api/pith-number/7XFZ325D4LH3IMSQBP3S2OWUFX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7XFZ325D4LH3IMSQBP3S2OWUFX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7XFZ325D4LH3IMSQBP3S2OWUFX/action/storage_attestation","attest_author":"https://pith.science/pith/7XFZ325D4LH3IMSQBP3S2OWUFX/action/author_attestation","sign_citation":"https://pith.science/pith/7XFZ325D4LH3IMSQBP3S2OWUFX/action/citation_signature","submit_replication":"https://pith.science/pith/7XFZ325D4LH3IMSQBP3S2OWUFX/action/replication_record"}},"created_at":"2026-07-05T01:52:14.667422+00:00","updated_at":"2026-07-05T01:52:14.667422+00:00"}