{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:KYSHTT64C3CT43Z4CDTOYNK6E5","short_pith_number":"pith:KYSHTT64","schema_version":"1.0","canonical_sha256":"562479cfdc16c53e6f3c10e6ec355e27707f7659e00fefd9f0f6739890dd34e9","source":{"kind":"arxiv","id":"1512.08898","version":1},"attestation_state":"computed","paper":{"title":"Donaldson-Thomas theory for categories of homological dimension one with potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT","math.RT"],"primary_cat":"math.AG","authors_text":"Ben Davison, Sven Meinhardt","submitted_at":"2015-12-30T10:17:02Z","abstract_excerpt":"The aim of the paper is twofold. Firstly, we give an axiomatic presentation of Donaldson-Thomas theory for categories of homological dimension at most one with potential. In particular, we provide rigorous proofs of all standard results concerning the integration map, wall-crossing, PT-DT correspondence, etc. following Kontsevich and Soibelman. We also show the equivalence of their approach and the one given by Joyce and Song. Secondly, we relate Donaldson-Thomas functions for such a category with arbitrary potential to those with zero potential under some mild conditions. As a result of this,"},"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":"1512.08898","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-12-30T10:17:02Z","cross_cats_sorted":["math.CT","math.RT"],"title_canon_sha256":"34b59164168030f80edc6323f8ebced121e6d0b6ee542444252f5bba5440054a","abstract_canon_sha256":"d9b56d8061721cc164c1d705f46758bb70bd750b8fed3ec53d17f9aa8c052408"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:34.563122Z","signature_b64":"cbcjcJbpUFyxDhc2wOmhsih8RGVoBB4kPED1Cp8sturGsZMbUqlWxSEyR558eZGePinko5FDZv8kGgODDGVwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"562479cfdc16c53e6f3c10e6ec355e27707f7659e00fefd9f0f6739890dd34e9","last_reissued_at":"2026-05-18T01:23:34.562445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:34.562445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Donaldson-Thomas theory for categories of homological dimension one with potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT","math.RT"],"primary_cat":"math.AG","authors_text":"Ben Davison, Sven Meinhardt","submitted_at":"2015-12-30T10:17:02Z","abstract_excerpt":"The aim of the paper is twofold. Firstly, we give an axiomatic presentation of Donaldson-Thomas theory for categories of homological dimension at most one with potential. In particular, we provide rigorous proofs of all standard results concerning the integration map, wall-crossing, PT-DT correspondence, etc. following Kontsevich and Soibelman. We also show the equivalence of their approach and the one given by Joyce and Song. Secondly, we relate Donaldson-Thomas functions for such a category with arbitrary potential to those with zero potential under some mild conditions. As a result of this,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08898","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":"1512.08898","created_at":"2026-05-18T01:23:34.562577+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.08898v1","created_at":"2026-05-18T01:23:34.562577+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08898","created_at":"2026-05-18T01:23:34.562577+00:00"},{"alias_kind":"pith_short_12","alias_value":"KYSHTT64C3CT","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_16","alias_value":"KYSHTT64C3CT43Z4","created_at":"2026-05-18T12:29:29.992203+00:00"},{"alias_kind":"pith_short_8","alias_value":"KYSHTT64","created_at":"2026-05-18T12:29:29.992203+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/KYSHTT64C3CT43Z4CDTOYNK6E5","json":"https://pith.science/pith/KYSHTT64C3CT43Z4CDTOYNK6E5.json","graph_json":"https://pith.science/api/pith-number/KYSHTT64C3CT43Z4CDTOYNK6E5/graph.json","events_json":"https://pith.science/api/pith-number/KYSHTT64C3CT43Z4CDTOYNK6E5/events.json","paper":"https://pith.science/paper/KYSHTT64"},"agent_actions":{"view_html":"https://pith.science/pith/KYSHTT64C3CT43Z4CDTOYNK6E5","download_json":"https://pith.science/pith/KYSHTT64C3CT43Z4CDTOYNK6E5.json","view_paper":"https://pith.science/paper/KYSHTT64","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.08898&json=true","fetch_graph":"https://pith.science/api/pith-number/KYSHTT64C3CT43Z4CDTOYNK6E5/graph.json","fetch_events":"https://pith.science/api/pith-number/KYSHTT64C3CT43Z4CDTOYNK6E5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KYSHTT64C3CT43Z4CDTOYNK6E5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KYSHTT64C3CT43Z4CDTOYNK6E5/action/storage_attestation","attest_author":"https://pith.science/pith/KYSHTT64C3CT43Z4CDTOYNK6E5/action/author_attestation","sign_citation":"https://pith.science/pith/KYSHTT64C3CT43Z4CDTOYNK6E5/action/citation_signature","submit_replication":"https://pith.science/pith/KYSHTT64C3CT43Z4CDTOYNK6E5/action/replication_record"}},"created_at":"2026-05-18T01:23:34.562577+00:00","updated_at":"2026-05-18T01:23:34.562577+00:00"}