{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:4WFMJMFTNXNS2FTJQDGEHY4IRI","short_pith_number":"pith:4WFMJMFT","schema_version":"1.0","canonical_sha256":"e58ac4b0b36ddb2d166980cc43e3888a3242988199e33fbadeac47e52b04fa5b","source":{"kind":"arxiv","id":"0710.2166","version":3},"attestation_state":"computed","paper":{"title":"Local torus actions modeled on the standard representation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Takahiko Yoshida","submitted_at":"2007-10-11T05:08:40Z","abstract_excerpt":"We introduce the notion of a local torus action modeled on the standard representation (for simplicity, we call it a local torus action). It is a generalization of a locally standard torus action and also an underlying structure of a locally toric Lagrangian fibration. For a local torus action, we define two invariants called a characteristic pair and an Euler class of the orbit map, and prove that local torus actions are classified topologically by them. As a corollary, we obtain a topological classification of locally standard torus actions, which is a generalization of the topological class"},"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":"0710.2166","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2007-10-11T05:08:40Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"276bd2605080d1964a187c3a9e643018d386ecc16c3df608cbab7e3266a6de84","abstract_canon_sha256":"110a69d119ab5e9af91259184bad04f70bbcbb18a2d2d91bd26f88ecff99e112"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:51.454913Z","signature_b64":"v90LS499DCO1GgX61A9QMIZcbVkWMIlrC6Wv6+iAJO1WvrESKOQ7bGEaePwIfDqKdvWOXi4vIyR8UR2ssFhbCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e58ac4b0b36ddb2d166980cc43e3888a3242988199e33fbadeac47e52b04fa5b","last_reissued_at":"2026-05-18T04:20:51.454411Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:51.454411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Local torus actions modeled on the standard representation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"Takahiko Yoshida","submitted_at":"2007-10-11T05:08:40Z","abstract_excerpt":"We introduce the notion of a local torus action modeled on the standard representation (for simplicity, we call it a local torus action). It is a generalization of a locally standard torus action and also an underlying structure of a locally toric Lagrangian fibration. For a local torus action, we define two invariants called a characteristic pair and an Euler class of the orbit map, and prove that local torus actions are classified topologically by them. As a corollary, we obtain a topological classification of locally standard torus actions, which is a generalization of the topological class"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.2166","kind":"arxiv","version":3},"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":"0710.2166","created_at":"2026-05-18T04:20:51.454488+00:00"},{"alias_kind":"arxiv_version","alias_value":"0710.2166v3","created_at":"2026-05-18T04:20:51.454488+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.2166","created_at":"2026-05-18T04:20:51.454488+00:00"},{"alias_kind":"pith_short_12","alias_value":"4WFMJMFTNXNS","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"4WFMJMFTNXNS2FTJ","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"4WFMJMFT","created_at":"2026-05-18T12:25:55.427421+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/4WFMJMFTNXNS2FTJQDGEHY4IRI","json":"https://pith.science/pith/4WFMJMFTNXNS2FTJQDGEHY4IRI.json","graph_json":"https://pith.science/api/pith-number/4WFMJMFTNXNS2FTJQDGEHY4IRI/graph.json","events_json":"https://pith.science/api/pith-number/4WFMJMFTNXNS2FTJQDGEHY4IRI/events.json","paper":"https://pith.science/paper/4WFMJMFT"},"agent_actions":{"view_html":"https://pith.science/pith/4WFMJMFTNXNS2FTJQDGEHY4IRI","download_json":"https://pith.science/pith/4WFMJMFTNXNS2FTJQDGEHY4IRI.json","view_paper":"https://pith.science/paper/4WFMJMFT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0710.2166&json=true","fetch_graph":"https://pith.science/api/pith-number/4WFMJMFTNXNS2FTJQDGEHY4IRI/graph.json","fetch_events":"https://pith.science/api/pith-number/4WFMJMFTNXNS2FTJQDGEHY4IRI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4WFMJMFTNXNS2FTJQDGEHY4IRI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4WFMJMFTNXNS2FTJQDGEHY4IRI/action/storage_attestation","attest_author":"https://pith.science/pith/4WFMJMFTNXNS2FTJQDGEHY4IRI/action/author_attestation","sign_citation":"https://pith.science/pith/4WFMJMFTNXNS2FTJQDGEHY4IRI/action/citation_signature","submit_replication":"https://pith.science/pith/4WFMJMFTNXNS2FTJQDGEHY4IRI/action/replication_record"}},"created_at":"2026-05-18T04:20:51.454488+00:00","updated_at":"2026-05-18T04:20:51.454488+00:00"}