{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5RHSFD536MJT4H7SUJ4IBWMU4O","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"612e0449783ee8641e0361c8d62f001379309206048765880e1df12686634a56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-03-24T10:41:12Z","title_canon_sha256":"e196e9383cec69988447ae6b47ccb52ef406b2dfc053a7b33b933b38557ae3cf"},"schema_version":"1.0","source":{"id":"1403.5904","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5904","created_at":"2026-05-17T23:54:07Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5904v2","created_at":"2026-05-17T23:54:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5904","created_at":"2026-05-17T23:54:07Z"},{"alias_kind":"pith_short_12","alias_value":"5RHSFD536MJT","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5RHSFD536MJT4H7S","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5RHSFD53","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:9a208473e977f77442b23d46aed48535a4fe00a1709ac9c89b947b8d4f10bb36","target":"graph","created_at":"2026-05-17T23:54:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider double plumbings of two disk bundles over spheres. We calculate the Heegaard-Floer homology with its absolute grading of the boundary of such a plumbing. Given a closed smooth 4-manifold $X$ and a suitable pair of classes in $H_{2}(X)$, we investigate when this pair of classes may be represented by a configuration of surfaces in $X$ whose regular neighbourhood is a double plumbing of disk bundles over spheres. Using similar methods we study single plumbings of two disk bundles over spheres inside $X$.","authors_text":"Eva Horvat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-03-24T10:41:12Z","title":"Double plumbings of disk bundles over spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5904","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d087ccbb14fc97c48614eb00773ebdbea42cbcd2c84723e020cef6542b6bf443","target":"record","created_at":"2026-05-17T23:54:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"612e0449783ee8641e0361c8d62f001379309206048765880e1df12686634a56","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-03-24T10:41:12Z","title_canon_sha256":"e196e9383cec69988447ae6b47ccb52ef406b2dfc053a7b33b933b38557ae3cf"},"schema_version":"1.0","source":{"id":"1403.5904","kind":"arxiv","version":2}},"canonical_sha256":"ec4f228fbbf3133e1ff2a27880d994e3a2e16e4f60c45dd55747285b4ac534e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ec4f228fbbf3133e1ff2a27880d994e3a2e16e4f60c45dd55747285b4ac534e0","first_computed_at":"2026-05-17T23:54:07.906174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:07.906174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+DRbGz/vrtBEVWOCqNJ1A8FvHGBlw1MRRnWSDjXT2K5ZKbva6/HjsS8oNMgTeetxSc5cJ0tzAyO/AgrR5SbsDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:07.906621Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.5904","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d087ccbb14fc97c48614eb00773ebdbea42cbcd2c84723e020cef6542b6bf443","sha256:9a208473e977f77442b23d46aed48535a4fe00a1709ac9c89b947b8d4f10bb36"],"state_sha256":"3c39e45ea0dba1f74bfb7845c52456f6c52facb00f3525b25d8fe5c2f99bbbe5"}