{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:KL5FRZO3HUO5QIRVLCQWJV2WIU","short_pith_number":"pith:KL5FRZO3","schema_version":"1.0","canonical_sha256":"52fa58e5db3d1dd8223558a164d756453eb1694f640919c33831d4f36cca7206","source":{"kind":"arxiv","id":"1407.3300","version":3},"attestation_state":"computed","paper":{"title":"The tropical momentum map: a classification of toric log symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Alvaro Pelayo, Marco Gualtieri, Songhao Li, Tudor Ratiu","submitted_at":"2014-07-11T21:15:16Z","abstract_excerpt":"We give a generalization of toric symplectic geometry to Poisson manifolds which are symplectic away from a collection of hypersurfaces forming a normal crossing configuration. We introduce the tropical momentum map, which takes values in a generalization of affine space called a log affine manifold. Using this momentum map, we obtain a complete classification of such manifolds in terms of decorated log affine polytopes, hence extending the classification of symplectic toric manifolds achieved by Atiyah, Guillemin-Sternberg, Kostant, and Delzant."},"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":"1407.3300","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-07-11T21:15:16Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"eaa3e076ebf05a2bb1d5c7bfaab1b45ef95ce615dd906110524b49d371c059cc","abstract_canon_sha256":"72701c3ff6c2fbb52e6f81b9f8a8826289d9ce3a69fafcd4095ac89794c3d21c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:00.376910Z","signature_b64":"rcNzv6nqhPJ8EyBnyzIfS4mZjjSeKkmqDqGR2xxIxiOnxSDCGk4nOC/iYSaCHTa5FjWsAEgw+ZYk0KAXbf3jAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52fa58e5db3d1dd8223558a164d756453eb1694f640919c33831d4f36cca7206","last_reissued_at":"2026-05-18T00:49:00.376172Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:00.376172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The tropical momentum map: a classification of toric log symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Alvaro Pelayo, Marco Gualtieri, Songhao Li, Tudor Ratiu","submitted_at":"2014-07-11T21:15:16Z","abstract_excerpt":"We give a generalization of toric symplectic geometry to Poisson manifolds which are symplectic away from a collection of hypersurfaces forming a normal crossing configuration. We introduce the tropical momentum map, which takes values in a generalization of affine space called a log affine manifold. Using this momentum map, we obtain a complete classification of such manifolds in terms of decorated log affine polytopes, hence extending the classification of symplectic toric manifolds achieved by Atiyah, Guillemin-Sternberg, Kostant, and Delzant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3300","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":"1407.3300","created_at":"2026-05-18T00:49:00.376277+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.3300v3","created_at":"2026-05-18T00:49:00.376277+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3300","created_at":"2026-05-18T00:49:00.376277+00:00"},{"alias_kind":"pith_short_12","alias_value":"KL5FRZO3HUO5","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"KL5FRZO3HUO5QIRV","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"KL5FRZO3","created_at":"2026-05-18T12:28:35.611951+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/KL5FRZO3HUO5QIRVLCQWJV2WIU","json":"https://pith.science/pith/KL5FRZO3HUO5QIRVLCQWJV2WIU.json","graph_json":"https://pith.science/api/pith-number/KL5FRZO3HUO5QIRVLCQWJV2WIU/graph.json","events_json":"https://pith.science/api/pith-number/KL5FRZO3HUO5QIRVLCQWJV2WIU/events.json","paper":"https://pith.science/paper/KL5FRZO3"},"agent_actions":{"view_html":"https://pith.science/pith/KL5FRZO3HUO5QIRVLCQWJV2WIU","download_json":"https://pith.science/pith/KL5FRZO3HUO5QIRVLCQWJV2WIU.json","view_paper":"https://pith.science/paper/KL5FRZO3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.3300&json=true","fetch_graph":"https://pith.science/api/pith-number/KL5FRZO3HUO5QIRVLCQWJV2WIU/graph.json","fetch_events":"https://pith.science/api/pith-number/KL5FRZO3HUO5QIRVLCQWJV2WIU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KL5FRZO3HUO5QIRVLCQWJV2WIU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KL5FRZO3HUO5QIRVLCQWJV2WIU/action/storage_attestation","attest_author":"https://pith.science/pith/KL5FRZO3HUO5QIRVLCQWJV2WIU/action/author_attestation","sign_citation":"https://pith.science/pith/KL5FRZO3HUO5QIRVLCQWJV2WIU/action/citation_signature","submit_replication":"https://pith.science/pith/KL5FRZO3HUO5QIRVLCQWJV2WIU/action/replication_record"}},"created_at":"2026-05-18T00:49:00.376277+00:00","updated_at":"2026-05-18T00:49:00.376277+00:00"}