{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:U6QLUPP64SLVP4HJJPWFQAQIME","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":"9fdad7eeeb444075af1587445177e5162f82f663938abd8d3ab5166c59d0b8d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-04-27T20:58:28Z","title_canon_sha256":"bb2c55027038c56ac0be14d4c939242e34bddf6dcfa605d12e877c957cb30d28"},"schema_version":"1.0","source":{"id":"1604.08240","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.08240","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"arxiv_version","alias_value":"1604.08240v1","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.08240","created_at":"2026-05-18T00:18:20Z"},{"alias_kind":"pith_short_12","alias_value":"U6QLUPP64SLV","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"U6QLUPP64SLVP4HJ","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"U6QLUPP6","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:7a833e33fda2757e236db96e284bbf1cd92afd46d6b62ae2d56b505d047c12e0","target":"graph","created_at":"2026-05-18T00:18:20Z","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":"Let $Y$ be a closed and oriented $3$-manifold. We define different versions of unfolded Seiberg-Witten Floer spectra for $Y$. These invariants generalize Manolescu's Seiberg-Witten Floer spectrum for rational homology $3$-spheres. We also compute some examples when $Y$ is a Seifert space.","authors_text":"Hirofumi Sasahira, Jianfeng Lin, Tirasan Khandhawit","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-04-27T20:58:28Z","title":"Unfolded Seiberg-Witten Floer spectra, I: Definition and invariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.08240","kind":"arxiv","version":1},"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:f9a9f99f04a290a0f7fd7b6717a285cb834e2e5e828bdcb1f82cbbbb06976f03","target":"record","created_at":"2026-05-18T00:18:20Z","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":"9fdad7eeeb444075af1587445177e5162f82f663938abd8d3ab5166c59d0b8d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-04-27T20:58:28Z","title_canon_sha256":"bb2c55027038c56ac0be14d4c939242e34bddf6dcfa605d12e877c957cb30d28"},"schema_version":"1.0","source":{"id":"1604.08240","kind":"arxiv","version":1}},"canonical_sha256":"a7a0ba3dfee49757f0e94bec5802086130287e3193488bc4f9638f9e94284ba2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7a0ba3dfee49757f0e94bec5802086130287e3193488bc4f9638f9e94284ba2","first_computed_at":"2026-05-18T00:18:20.777127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:20.777127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LBcgP3mUcpBUMaQwDH+F77tt3A7WqHCMDzc5o1J+jSDIIA9HtVC9Ys/RWlgTiTFbTt5WlDPAN2DUG83zXWJTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:20.777665Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.08240","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9a9f99f04a290a0f7fd7b6717a285cb834e2e5e828bdcb1f82cbbbb06976f03","sha256:7a833e33fda2757e236db96e284bbf1cd92afd46d6b62ae2d56b505d047c12e0"],"state_sha256":"11e9c2009095d854a46122a9c055232a2a74abde5486a477bce728866a63d27c"}