{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:BFFLNZ2YK2UZJAY6TNFOWCOKNW","short_pith_number":"pith:BFFLNZ2Y","schema_version":"1.0","canonical_sha256":"094ab6e75856a994831e9b4aeb09ca6da6cb88ef980f7efb626902ef2c57957e","source":{"kind":"arxiv","id":"1107.1907","version":4},"attestation_state":"computed","paper":{"title":"Toric Stacks II: Intrinsic Characterization of Toric Stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Anton Geraschenko, Matthew Satriano","submitted_at":"2011-07-10T22:27:03Z","abstract_excerpt":"The purpose of this paper and its prequel (Toric Stacks I) is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks defined in [Laf02, BCS05, FMN10, Iwa09, Sat12, Tyo12], as well as classical toric varieties.\n  While the focus of the prequel is on how to work with toric stacks, the focus of this paper is how to show a stack is toric. For toric varieties, a classical result says that any normal variety with an action of a dense open torus arises from a fan. In [FMN09, Theorem 7.24], it is shown that a smooth separated DM stack with an action"},"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":"1107.1907","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-07-10T22:27:03Z","cross_cats_sorted":[],"title_canon_sha256":"c15eab9ee8ade0d6d1edd0fc43b96538ab3fd7323c1fb0f690a9ea3e7507e799","abstract_canon_sha256":"018dde4e202aba1fd61ab6a82411f345c34616adef7a0131b16347cb380fabc0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:02.639049Z","signature_b64":"Su5FwskI01WAatyUC8gVMUm1CQO/iTGjhRgVoTAvI4RLnkU5NjxoC8r8ELI/9DwhSIzwShp1ibmxKDveEOFQAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"094ab6e75856a994831e9b4aeb09ca6da6cb88ef980f7efb626902ef2c57957e","last_reissued_at":"2026-05-18T02:31:02.638551Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:02.638551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Toric Stacks II: Intrinsic Characterization of Toric Stacks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Anton Geraschenko, Matthew Satriano","submitted_at":"2011-07-10T22:27:03Z","abstract_excerpt":"The purpose of this paper and its prequel (Toric Stacks I) is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks defined in [Laf02, BCS05, FMN10, Iwa09, Sat12, Tyo12], as well as classical toric varieties.\n  While the focus of the prequel is on how to work with toric stacks, the focus of this paper is how to show a stack is toric. For toric varieties, a classical result says that any normal variety with an action of a dense open torus arises from a fan. In [FMN09, Theorem 7.24], it is shown that a smooth separated DM stack with an action"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1907","kind":"arxiv","version":4},"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":"1107.1907","created_at":"2026-05-18T02:31:02.638631+00:00"},{"alias_kind":"arxiv_version","alias_value":"1107.1907v4","created_at":"2026-05-18T02:31:02.638631+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1907","created_at":"2026-05-18T02:31:02.638631+00:00"},{"alias_kind":"pith_short_12","alias_value":"BFFLNZ2YK2UZ","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_16","alias_value":"BFFLNZ2YK2UZJAY6","created_at":"2026-05-18T12:26:24.575870+00:00"},{"alias_kind":"pith_short_8","alias_value":"BFFLNZ2Y","created_at":"2026-05-18T12:26:24.575870+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/BFFLNZ2YK2UZJAY6TNFOWCOKNW","json":"https://pith.science/pith/BFFLNZ2YK2UZJAY6TNFOWCOKNW.json","graph_json":"https://pith.science/api/pith-number/BFFLNZ2YK2UZJAY6TNFOWCOKNW/graph.json","events_json":"https://pith.science/api/pith-number/BFFLNZ2YK2UZJAY6TNFOWCOKNW/events.json","paper":"https://pith.science/paper/BFFLNZ2Y"},"agent_actions":{"view_html":"https://pith.science/pith/BFFLNZ2YK2UZJAY6TNFOWCOKNW","download_json":"https://pith.science/pith/BFFLNZ2YK2UZJAY6TNFOWCOKNW.json","view_paper":"https://pith.science/paper/BFFLNZ2Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1107.1907&json=true","fetch_graph":"https://pith.science/api/pith-number/BFFLNZ2YK2UZJAY6TNFOWCOKNW/graph.json","fetch_events":"https://pith.science/api/pith-number/BFFLNZ2YK2UZJAY6TNFOWCOKNW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BFFLNZ2YK2UZJAY6TNFOWCOKNW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BFFLNZ2YK2UZJAY6TNFOWCOKNW/action/storage_attestation","attest_author":"https://pith.science/pith/BFFLNZ2YK2UZJAY6TNFOWCOKNW/action/author_attestation","sign_citation":"https://pith.science/pith/BFFLNZ2YK2UZJAY6TNFOWCOKNW/action/citation_signature","submit_replication":"https://pith.science/pith/BFFLNZ2YK2UZJAY6TNFOWCOKNW/action/replication_record"}},"created_at":"2026-05-18T02:31:02.638631+00:00","updated_at":"2026-05-18T02:31:02.638631+00:00"}