{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:4ZNUEP2AXBNKFX5DQ26GEJI7Y3","short_pith_number":"pith:4ZNUEP2A","schema_version":"1.0","canonical_sha256":"e65b423f40b85aa2dfa386bc62251fc6e6786112f35ecbe6527515179ef84951","source":{"kind":"arxiv","id":"1607.04222","version":1},"attestation_state":"computed","paper":{"title":"Comments On The Two-Dimensional Landau-Ginzburg Approach To Link Homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Dmitry Galakhov, Gregory W. Moore","submitted_at":"2016-07-14T17:38:53Z","abstract_excerpt":"We describe rules for computing a homology theory of knots and links in $\\mathbb{R}^3$. It is derived from the theory of framed BPS states bound to domain walls separating two-dimensional Landau-Ginzburg models with (2,2) supersymmetry. We illustrate the rules with some sample computations, obtaining results consistent with Khovanov homology. We show that of the two Landau-Ginzburg models discussed in this context by Gaiotto and Witten one, (the so-called Yang-Yang-Landau-Ginzburg model) does not lead to topological invariants of links while the other, based on a model with target space equal "},"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":"1607.04222","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-14T17:38:53Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d282bd2ac9b1fb6f3c78ecad00e59d0577d8bc5865e00575ed13e84693cbe7f4","abstract_canon_sha256":"3f28e569de2c3317d28f08fb2a85039a26d045c6ddc950ce727457134a225410"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:03.841146Z","signature_b64":"iDkINGcPkg39Rw46uri5nWa0OCz32Po/Fpnh4/BOFwxw3QPEwxfmq0m9iDjJ8/gFAzVSynP9uWTbrfQwiCNuCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e65b423f40b85aa2dfa386bc62251fc6e6786112f35ecbe6527515179ef84951","last_reissued_at":"2026-05-18T01:11:03.840644Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:03.840644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Comments On The Two-Dimensional Landau-Ginzburg Approach To Link Homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Dmitry Galakhov, Gregory W. Moore","submitted_at":"2016-07-14T17:38:53Z","abstract_excerpt":"We describe rules for computing a homology theory of knots and links in $\\mathbb{R}^3$. It is derived from the theory of framed BPS states bound to domain walls separating two-dimensional Landau-Ginzburg models with (2,2) supersymmetry. We illustrate the rules with some sample computations, obtaining results consistent with Khovanov homology. We show that of the two Landau-Ginzburg models discussed in this context by Gaiotto and Witten one, (the so-called Yang-Yang-Landau-Ginzburg model) does not lead to topological invariants of links while the other, based on a model with target space equal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04222","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1607.04222","created_at":"2026-05-18T01:11:03.840725+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.04222v1","created_at":"2026-05-18T01:11:03.840725+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04222","created_at":"2026-05-18T01:11:03.840725+00:00"},{"alias_kind":"pith_short_12","alias_value":"4ZNUEP2AXBNK","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_16","alias_value":"4ZNUEP2AXBNKFX5D","created_at":"2026-05-18T12:29:58.707656+00:00"},{"alias_kind":"pith_short_8","alias_value":"4ZNUEP2A","created_at":"2026-05-18T12:29:58.707656+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/4ZNUEP2AXBNKFX5DQ26GEJI7Y3","json":"https://pith.science/pith/4ZNUEP2AXBNKFX5DQ26GEJI7Y3.json","graph_json":"https://pith.science/api/pith-number/4ZNUEP2AXBNKFX5DQ26GEJI7Y3/graph.json","events_json":"https://pith.science/api/pith-number/4ZNUEP2AXBNKFX5DQ26GEJI7Y3/events.json","paper":"https://pith.science/paper/4ZNUEP2A"},"agent_actions":{"view_html":"https://pith.science/pith/4ZNUEP2AXBNKFX5DQ26GEJI7Y3","download_json":"https://pith.science/pith/4ZNUEP2AXBNKFX5DQ26GEJI7Y3.json","view_paper":"https://pith.science/paper/4ZNUEP2A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.04222&json=true","fetch_graph":"https://pith.science/api/pith-number/4ZNUEP2AXBNKFX5DQ26GEJI7Y3/graph.json","fetch_events":"https://pith.science/api/pith-number/4ZNUEP2AXBNKFX5DQ26GEJI7Y3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4ZNUEP2AXBNKFX5DQ26GEJI7Y3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4ZNUEP2AXBNKFX5DQ26GEJI7Y3/action/storage_attestation","attest_author":"https://pith.science/pith/4ZNUEP2AXBNKFX5DQ26GEJI7Y3/action/author_attestation","sign_citation":"https://pith.science/pith/4ZNUEP2AXBNKFX5DQ26GEJI7Y3/action/citation_signature","submit_replication":"https://pith.science/pith/4ZNUEP2AXBNKFX5DQ26GEJI7Y3/action/replication_record"}},"created_at":"2026-05-18T01:11:03.840725+00:00","updated_at":"2026-05-18T01:11:03.840725+00:00"}