{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:3HUB2O35FFXSRGBN5TEALHVMFU","short_pith_number":"pith:3HUB2O35","schema_version":"1.0","canonical_sha256":"d9e81d3b7d296f28982decc8059eac2d179ecc5ad38762c9e811eed355f6361b","source":{"kind":"arxiv","id":"2308.05086","version":6},"attestation_state":"computed","paper":{"title":"Aspherical Lagrangian submanifolds, Audin's conjecture and cyclic dilations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Yin Li","submitted_at":"2023-08-09T17:28:54Z","abstract_excerpt":"Given a closed, oriented Lagrangian submanifold $L$ in a Liouville domain $\\overline{M}$, one can define a Maurer-Cartan element with respect to a certain $L_\\infty$-structure on the string homology $\\widehat{H}_\\ast^{S^1}(\\mathcal{L}L;\\mathbb{R})$, completed with respect to the action filtration. When the first Gutt-Hutchings capacity of $\\overline{M}$ is finite, and $L$ is a $K(\\pi,1)$ space, we show that $L$ bounds a pseudoholomorphic disc of Maslov index 2. This confirms a general form of Audin's conjecture and generalizes the works of Fukaya and Irie in the case of $\\mathbb{C}^n$ to a wid"},"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":"2308.05086","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2023-08-09T17:28:54Z","cross_cats_sorted":[],"title_canon_sha256":"accc329f94d83557b6261c5b7b90812581355b326bd9f9fca746a07191caef64","abstract_canon_sha256":"97464273b91a1d3d8b80fa02b227014d456df151af7a1c00071b6c5033a77186"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:43.860076Z","signature_b64":"L0hZEjtqQ390HJcWeNFydsur7iEC97uUMl7vF3UA7m+2yrqPowVm8/ggZlEsAj/ZiSLxDj2zsC3hi9vE7spUAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9e81d3b7d296f28982decc8059eac2d179ecc5ad38762c9e811eed355f6361b","last_reissued_at":"2026-06-19T16:12:43.859685Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:43.859685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Aspherical Lagrangian submanifolds, Audin's conjecture and cyclic dilations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Yin Li","submitted_at":"2023-08-09T17:28:54Z","abstract_excerpt":"Given a closed, oriented Lagrangian submanifold $L$ in a Liouville domain $\\overline{M}$, one can define a Maurer-Cartan element with respect to a certain $L_\\infty$-structure on the string homology $\\widehat{H}_\\ast^{S^1}(\\mathcal{L}L;\\mathbb{R})$, completed with respect to the action filtration. When the first Gutt-Hutchings capacity of $\\overline{M}$ is finite, and $L$ is a $K(\\pi,1)$ space, we show that $L$ bounds a pseudoholomorphic disc of Maslov index 2. This confirms a general form of Audin's conjecture and generalizes the works of Fukaya and Irie in the case of $\\mathbb{C}^n$ to a wid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.05086","kind":"arxiv","version":6},"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/2308.05086/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":"2308.05086","created_at":"2026-06-19T16:12:43.859741+00:00"},{"alias_kind":"arxiv_version","alias_value":"2308.05086v6","created_at":"2026-06-19T16:12:43.859741+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.05086","created_at":"2026-06-19T16:12:43.859741+00:00"},{"alias_kind":"pith_short_12","alias_value":"3HUB2O35FFXS","created_at":"2026-06-19T16:12:43.859741+00:00"},{"alias_kind":"pith_short_16","alias_value":"3HUB2O35FFXSRGBN","created_at":"2026-06-19T16:12:43.859741+00:00"},{"alias_kind":"pith_short_8","alias_value":"3HUB2O35","created_at":"2026-06-19T16:12:43.859741+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2606.13122","citing_title":"Existence of pseudo-holomorphic disks via non-archimedean disk potentials","ref_index":8,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3HUB2O35FFXSRGBN5TEALHVMFU","json":"https://pith.science/pith/3HUB2O35FFXSRGBN5TEALHVMFU.json","graph_json":"https://pith.science/api/pith-number/3HUB2O35FFXSRGBN5TEALHVMFU/graph.json","events_json":"https://pith.science/api/pith-number/3HUB2O35FFXSRGBN5TEALHVMFU/events.json","paper":"https://pith.science/paper/3HUB2O35"},"agent_actions":{"view_html":"https://pith.science/pith/3HUB2O35FFXSRGBN5TEALHVMFU","download_json":"https://pith.science/pith/3HUB2O35FFXSRGBN5TEALHVMFU.json","view_paper":"https://pith.science/paper/3HUB2O35","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2308.05086&json=true","fetch_graph":"https://pith.science/api/pith-number/3HUB2O35FFXSRGBN5TEALHVMFU/graph.json","fetch_events":"https://pith.science/api/pith-number/3HUB2O35FFXSRGBN5TEALHVMFU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3HUB2O35FFXSRGBN5TEALHVMFU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3HUB2O35FFXSRGBN5TEALHVMFU/action/storage_attestation","attest_author":"https://pith.science/pith/3HUB2O35FFXSRGBN5TEALHVMFU/action/author_attestation","sign_citation":"https://pith.science/pith/3HUB2O35FFXSRGBN5TEALHVMFU/action/citation_signature","submit_replication":"https://pith.science/pith/3HUB2O35FFXSRGBN5TEALHVMFU/action/replication_record"}},"created_at":"2026-06-19T16:12:43.859741+00:00","updated_at":"2026-06-19T16:12:43.859741+00:00"}