{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:QV6PUKO62545KPQ24MDZLUUVAV","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":"d68d357b1f7c4d25e144a406d4aa77c0d3648def835c94f2fdd407474eaac42f","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2022-10-27T22:30:59Z","title_canon_sha256":"537ade5747c10bee3f1246741130fca31399b0669b8b4055a68e5b3096a9fa1b"},"schema_version":"1.0","source":{"id":"2210.15792","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.15792","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"arxiv_version","alias_value":"2210.15792v2","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.15792","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"pith_short_12","alias_value":"QV6PUKO62545","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"pith_short_16","alias_value":"QV6PUKO62545KPQ2","created_at":"2026-07-05T07:52:39Z"},{"alias_kind":"pith_short_8","alias_value":"QV6PUKO6","created_at":"2026-07-05T07:52:39Z"}],"graph_snapshots":[{"event_id":"sha256:2985cf130ebbafc9a983169ef04cd0d80a5dc9e8e88dc57ae1e90116928adbc1","target":"graph","created_at":"2026-07-05T07:52:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.15792/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define a link lattice complex for plumbed links, generalizing constructions of Ozsv\\'ath, Stipsicz and Szab\\'o, and of Gorsky and N\\'emethi. We prove that for all plumbed links in rational homology 3-spheres, the link lattice complex is homotopy equivalent to the link Floer complex as an $A_\\infty$-module. Additionally, we prove that the link Floer complex of a plumbed L-space link is a free resolution of its homology. As a consequence, we give an algorithm to compute the link Floer complexes of plumbed L-space links, in particular of algebraic links, from their multivariable Alexander poly","authors_text":"Beibei Liu, Ian Zemke, Maciej Borodzik","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2022-10-27T22:30:59Z","title":"Lattice homology, formality, and plumbed L-space links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.15792","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:ed31d07cbe0236a369bed60a73aecf0a2c41705701149e044435409737199310","target":"record","created_at":"2026-07-05T07:52:39Z","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":"d68d357b1f7c4d25e144a406d4aa77c0d3648def835c94f2fdd407474eaac42f","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2022-10-27T22:30:59Z","title_canon_sha256":"537ade5747c10bee3f1246741130fca31399b0669b8b4055a68e5b3096a9fa1b"},"schema_version":"1.0","source":{"id":"2210.15792","kind":"arxiv","version":2}},"canonical_sha256":"857cfa29ded779d53e1ae30795d2950579e690e340679931d5689eb81ea78800","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"857cfa29ded779d53e1ae30795d2950579e690e340679931d5689eb81ea78800","first_computed_at":"2026-07-05T07:52:39.099245Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:52:39.099245Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wqrO7vRQJPCZUjaVzKvEztQFfdT+6iKdMHmSdtDNCoQjNPcl79yoAJ+Vm9/UHljmecl3CloOqwwup1XCSj4vAw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:52:39.099597Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.15792","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed31d07cbe0236a369bed60a73aecf0a2c41705701149e044435409737199310","sha256:2985cf130ebbafc9a983169ef04cd0d80a5dc9e8e88dc57ae1e90116928adbc1"],"state_sha256":"03a5ff5a9d5714a4c796cf6ab5290efd912583956cdfc233454f5eccb61af09c"}