{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SWFMJ62RFWMJSYKFFU2AKI4D5R","short_pith_number":"pith:SWFMJ62R","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"},"canonical_sha256":"958ac4fb512d989961452d34052383ec7a2cc78aa59cd07b106ec0bccff5708e","source":{"kind":"arxiv","id":"1703.07336","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07336","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07336v2","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07336","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"SWFMJ62RFWMJ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SWFMJ62RFWMJSYKF","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SWFMJ62R","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SWFMJ62RFWMJSYKFFU2AKI4D5R","target":"record","payload":{"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"},"canonical_sha256":"958ac4fb512d989961452d34052383ec7a2cc78aa59cd07b106ec0bccff5708e","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"},"source_kind":"arxiv","source_id":"1703.07336","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xe5tYFQYTWHCQPpMxQ/iHqfNXpBnlDGWNdv2TSciSu//dHJDnzPfGhVVwg4oPYiQYL6lw7PYXXssLJZgpl+bCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:56:44.937036Z"},"content_sha256":"b0ada2292a66c58e75f62d7bcc22049c037e63ee6f14ac349f5e9d9930eab1ad","schema_version":"1.0","event_id":"sha256:b0ada2292a66c58e75f62d7bcc22049c037e63ee6f14ac349f5e9d9930eab1ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SWFMJ62RFWMJSYKFFU2AKI4D5R","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:15:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZuHFQ91jSIClaq72tuL5hkY5eswVVUDbYbf5QAn8V1chxhVP0q1ETpMzoEYW986mOkbqAPJv4Q9RXFPuHeedDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:56:44.937677Z"},"content_sha256":"d1a6623ac8c82957c3c3313849694e3b170ea967460bd06db3d964ca8d5e0561","schema_version":"1.0","event_id":"sha256:d1a6623ac8c82957c3c3313849694e3b170ea967460bd06db3d964ca8d5e0561"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/bundle.json","state_url":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T12:56:44Z","links":{"resolver":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R","bundle":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/bundle.json","state":"https://pith.science/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SWFMJ62RFWMJSYKFFU2AKI4D5R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SWFMJ62RFWMJSYKFFU2AKI4D5R","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7afa9fe2b5e51c6050d9d3f640821d03b877c8cba47d37d95551629bac73c570","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-21T17:45:52Z","title_canon_sha256":"189ab0e4a2961850b6bd5bf91762fc86b02bf49a0a1e1e3637bf6ecc208cf389"},"schema_version":"1.0","source":{"id":"1703.07336","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07336","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07336v2","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07336","created_at":"2026-05-18T00:15:37Z"},{"alias_kind":"pith_short_12","alias_value":"SWFMJ62RFWMJ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SWFMJ62RFWMJSYKF","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SWFMJ62R","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:d1a6623ac8c82957c3c3313849694e3b170ea967460bd06db3d964ca8d5e0561","target":"graph","created_at":"2026-05-18T00:15:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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.","authors_text":"Fran\\c{c}ois Labourie, Martin Bridgeman, Richard Canary","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-21T17:45:52Z","title":"Simple Length Rigidity for Hitchin Representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07336","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b0ada2292a66c58e75f62d7bcc22049c037e63ee6f14ac349f5e9d9930eab1ad","target":"record","created_at":"2026-05-18T00:15:37Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7afa9fe2b5e51c6050d9d3f640821d03b877c8cba47d37d95551629bac73c570","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-21T17:45:52Z","title_canon_sha256":"189ab0e4a2961850b6bd5bf91762fc86b02bf49a0a1e1e3637bf6ecc208cf389"},"schema_version":"1.0","source":{"id":"1703.07336","kind":"arxiv","version":2}},"canonical_sha256":"958ac4fb512d989961452d34052383ec7a2cc78aa59cd07b106ec0bccff5708e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"958ac4fb512d989961452d34052383ec7a2cc78aa59cd07b106ec0bccff5708e","first_computed_at":"2026-05-18T00:15:37.794822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:37.794822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j9KGblxATMtUq6VRKNP+KNvNsliq8QYdsIJGsZEI7k+AawJVWhZITnC3+ZB31PSEaO9s3B5B61ZX4DszCLxrAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:37.795364Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.07336","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0ada2292a66c58e75f62d7bcc22049c037e63ee6f14ac349f5e9d9930eab1ad","sha256:d1a6623ac8c82957c3c3313849694e3b170ea967460bd06db3d964ca8d5e0561"],"state_sha256":"88defa195061552c396a2d01670bebf2264fb515a7b16c001b9567ec87237426"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6gHQ2QnIHaEuYtivgzOL4uDQIhD+swvX7CFiyuOBq8y7ytP6dEsN/TFfL2cbiWCg+zqm9s5i+f1y7oLq7ajvCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:56:44.940728Z","bundle_sha256":"ef2e1ac986000bd5bd7e0667b913b95f19cf261d25df19cb5f1e5b6df855b555"}}