{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SWFMJ62RFWMJSYKFFU2AKI4D5R","short_pith_number":"pith:SWFMJ62R","schema_version":"1.0","canonical_sha256":"958ac4fb512d989961452d34052383ec7a2cc78aa59cd07b106ec0bccff5708e","source":{"kind":"arxiv","id":"1703.07336","version":2},"attestation_state":"computed","paper":{"title":"Simple Length Rigidity for Hitchin Representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.GT","authors_text":"Fran\\c{c}ois Labourie, Martin Bridgeman, Richard Canary","submitted_at":"2017-03-21T17:45:52Z","abstract_excerpt":"We show that a Hitchin representation is determined by the spectral radii of the images of simple, non-separating closed curves. As a consequence, we classify isometries of the intersection function on Hitchin components of dimension 3 and on the self-dual Hitchin components in all dimensions. As an important tool in the proof, we establish a transversality result for positive quadruples of flags."},"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":"1703.07336","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-21T17:45:52Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"189ab0e4a2961850b6bd5bf91762fc86b02bf49a0a1e1e3637bf6ecc208cf389","abstract_canon_sha256":"7afa9fe2b5e51c6050d9d3f640821d03b877c8cba47d37d95551629bac73c570"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:37.795364Z","signature_b64":"j9KGblxATMtUq6VRKNP+KNvNsliq8QYdsIJGsZEI7k+AawJVWhZITnC3+ZB31PSEaO9s3B5B61ZX4DszCLxrAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"958ac4fb512d989961452d34052383ec7a2cc78aa59cd07b106ec0bccff5708e","last_reissued_at":"2026-05-18T00:15:37.794822Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:37.794822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple Length Rigidity for Hitchin Representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.GT","authors_text":"Fran\\c{c}ois Labourie, Martin Bridgeman, Richard Canary","submitted_at":"2017-03-21T17:45:52Z","abstract_excerpt":"We show that a Hitchin representation is determined by the spectral radii of the images of simple, non-separating closed curves. As a consequence, we classify isometries of the intersection function on Hitchin components of dimension 3 and on the self-dual Hitchin components in all dimensions. As an important tool in the proof, we establish a transversality result for positive quadruples of flags."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07336","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":""},"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":"1703.07336","created_at":"2026-05-18T00:15:37.794908+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.07336v2","created_at":"2026-05-18T00:15:37.794908+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07336","created_at":"2026-05-18T00:15:37.794908+00:00"},{"alias_kind":"pith_short_12","alias_value":"SWFMJ62RFWMJ","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SWFMJ62RFWMJSYKF","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SWFMJ62R","created_at":"2026-05-18T12:31:43.269735+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/SWFMJ62RFWMJSYKFFU2AKI4D5R","json":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R.json","graph_json":"https://pith.science/api/pith-number/SWFMJ62RFWMJSYKFFU2AKI4D5R/graph.json","events_json":"https://pith.science/api/pith-number/SWFMJ62RFWMJSYKFFU2AKI4D5R/events.json","paper":"https://pith.science/paper/SWFMJ62R"},"agent_actions":{"view_html":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R","download_json":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R.json","view_paper":"https://pith.science/paper/SWFMJ62R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.07336&json=true","fetch_graph":"https://pith.science/api/pith-number/SWFMJ62RFWMJSYKFFU2AKI4D5R/graph.json","fetch_events":"https://pith.science/api/pith-number/SWFMJ62RFWMJSYKFFU2AKI4D5R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/action/storage_attestation","attest_author":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/action/author_attestation","sign_citation":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/action/citation_signature","submit_replication":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/action/replication_record"}},"created_at":"2026-05-18T00:15:37.794908+00:00","updated_at":"2026-05-18T00:15:37.794908+00:00"}