{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:YUWGLFHP6VI6K25BPGH4ZKI7ZY","short_pith_number":"pith:YUWGLFHP","schema_version":"1.0","canonical_sha256":"c52c6594eff551e56ba1798fcca91fce3ae0df5b28a9699ef47be4a30a957069","source":{"kind":"arxiv","id":"2011.07908","version":2},"attestation_state":"computed","paper":{"title":"A Thurston compactification of the space of stability conditions","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math.AG","math.CT","math.GT"],"primary_cat":"math.RT","authors_text":"Anand Deopurkar, Anthony M. Licata, Asilata Bapat","submitted_at":"2020-11-16T12:54:14Z","abstract_excerpt":"We propose compactifications of the moduli space of Bridgeland stability conditions of a triangulated category. Our construction arises from a viewing a stability condition as a metric on the underlying category and is inspired by the Thurston compactification of the Teichm\\\"uller space of hyperbolic metrics on a surface. The key ingredient in the construction are maps from the stability manifold to an infinite projective space. We prove that, under suitable hypotheses, these maps are injective and their image has a compact closure. We identify a family of points in the boundary that are categ"},"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":"2011.07908","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.RT","submitted_at":"2020-11-16T12:54:14Z","cross_cats_sorted":["math.AG","math.CT","math.GT"],"title_canon_sha256":"dfca449742b8c0e7c6eeff40fd3bbdc7e252ba2be0b0608a43bacd44146fdb41","abstract_canon_sha256":"ec7138866f961afd4f63e2094c8b3fac94df72047543ce2b7ec6f649d94a20ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:10:44.417007Z","signature_b64":"w0CpOQ8YQpn0vKwB6BSSXBlfQ7qie/cFY+CiIhQxiH2ksOY1el+xrIv+ZK3LSKClDQ1lU5s9gURUeKmhlS5jCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c52c6594eff551e56ba1798fcca91fce3ae0df5b28a9699ef47be4a30a957069","last_reissued_at":"2026-07-05T07:10:44.416608Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:10:44.416608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Thurston compactification of the space of stability conditions","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math.AG","math.CT","math.GT"],"primary_cat":"math.RT","authors_text":"Anand Deopurkar, Anthony M. Licata, Asilata Bapat","submitted_at":"2020-11-16T12:54:14Z","abstract_excerpt":"We propose compactifications of the moduli space of Bridgeland stability conditions of a triangulated category. Our construction arises from a viewing a stability condition as a metric on the underlying category and is inspired by the Thurston compactification of the Teichm\\\"uller space of hyperbolic metrics on a surface. The key ingredient in the construction are maps from the stability manifold to an infinite projective space. We prove that, under suitable hypotheses, these maps are injective and their image has a compact closure. We identify a family of points in the boundary that are categ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.07908","kind":"arxiv","version":2},"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/2011.07908/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":"2011.07908","created_at":"2026-07-05T07:10:44.416660+00:00"},{"alias_kind":"arxiv_version","alias_value":"2011.07908v2","created_at":"2026-07-05T07:10:44.416660+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.07908","created_at":"2026-07-05T07:10:44.416660+00:00"},{"alias_kind":"pith_short_12","alias_value":"YUWGLFHP6VI6","created_at":"2026-07-05T07:10:44.416660+00:00"},{"alias_kind":"pith_short_16","alias_value":"YUWGLFHP6VI6K25B","created_at":"2026-07-05T07:10:44.416660+00:00"},{"alias_kind":"pith_short_8","alias_value":"YUWGLFHP","created_at":"2026-07-05T07:10:44.416660+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.00396","citing_title":"Properties of deformed mass and phase functions","ref_index":82,"is_internal_anchor":false},{"citing_arxiv_id":"2208.03173","citing_title":"Partial compactification of stability manifolds via massless semistable objects","ref_index":1,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YUWGLFHP6VI6K25BPGH4ZKI7ZY","json":"https://pith.science/pith/YUWGLFHP6VI6K25BPGH4ZKI7ZY.json","graph_json":"https://pith.science/api/pith-number/YUWGLFHP6VI6K25BPGH4ZKI7ZY/graph.json","events_json":"https://pith.science/api/pith-number/YUWGLFHP6VI6K25BPGH4ZKI7ZY/events.json","paper":"https://pith.science/paper/YUWGLFHP"},"agent_actions":{"view_html":"https://pith.science/pith/YUWGLFHP6VI6K25BPGH4ZKI7ZY","download_json":"https://pith.science/pith/YUWGLFHP6VI6K25BPGH4ZKI7ZY.json","view_paper":"https://pith.science/paper/YUWGLFHP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2011.07908&json=true","fetch_graph":"https://pith.science/api/pith-number/YUWGLFHP6VI6K25BPGH4ZKI7ZY/graph.json","fetch_events":"https://pith.science/api/pith-number/YUWGLFHP6VI6K25BPGH4ZKI7ZY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YUWGLFHP6VI6K25BPGH4ZKI7ZY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YUWGLFHP6VI6K25BPGH4ZKI7ZY/action/storage_attestation","attest_author":"https://pith.science/pith/YUWGLFHP6VI6K25BPGH4ZKI7ZY/action/author_attestation","sign_citation":"https://pith.science/pith/YUWGLFHP6VI6K25BPGH4ZKI7ZY/action/citation_signature","submit_replication":"https://pith.science/pith/YUWGLFHP6VI6K25BPGH4ZKI7ZY/action/replication_record"}},"created_at":"2026-07-05T07:10:44.416660+00:00","updated_at":"2026-07-05T07:10:44.416660+00:00"}