{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2RSSMYISNSB5SUE7OJ73YC6VHR","short_pith_number":"pith:2RSSMYIS","canonical_record":{"source":{"id":"1412.4396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-12-14T19:15:57Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"7ff80b91e759f69097fcf32fb2dc0098e3b3ceecebb4b41c50147646267c1d6d","abstract_canon_sha256":"85282a2d68f2b52aa9357714063259392a11e01b430050cd74235a9c71d761e0"},"schema_version":"1.0"},"canonical_sha256":"d4652661126c83d9509f727fbc0bd53c4db05ef43cec8c2a9f92401846b04f12","source":{"kind":"arxiv","id":"1412.4396","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4396","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4396v1","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4396","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"2RSSMYISNSB5","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2RSSMYISNSB5SUE7","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2RSSMYIS","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2RSSMYISNSB5SUE7OJ73YC6VHR","target":"record","payload":{"canonical_record":{"source":{"id":"1412.4396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-12-14T19:15:57Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"7ff80b91e759f69097fcf32fb2dc0098e3b3ceecebb4b41c50147646267c1d6d","abstract_canon_sha256":"85282a2d68f2b52aa9357714063259392a11e01b430050cd74235a9c71d761e0"},"schema_version":"1.0"},"canonical_sha256":"d4652661126c83d9509f727fbc0bd53c4db05ef43cec8c2a9f92401846b04f12","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:05.939540Z","signature_b64":"PY6OR/Jln+JtGrr8YdDXaGryr3siSMaFFhjqs+3AB5Uv9wyvrPanEzcMk1x64JqebhLZfLjepZjS+gfzeGXRAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4652661126c83d9509f727fbc0bd53c4db05ef43cec8c2a9f92401846b04f12","last_reissued_at":"2026-05-18T01:04:05.939015Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:05.939015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.4396","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fSNorI6sa81pjDzRbjatyMb2wgxiPhQF0XmfypOn+90QYaY8Pm9Vz/y5QKABYs6JGhLgAQGwiwJV/pY9A8xrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T11:17:49.169978Z"},"content_sha256":"5548aea69f62619242f08804506dbb6f49307900f4ae72319ced1c67d5fed3d0","schema_version":"1.0","event_id":"sha256:5548aea69f62619242f08804506dbb6f49307900f4ae72319ced1c67d5fed3d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2RSSMYISNSB5SUE7OJ73YC6VHR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Homotopy type of free group character varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.AT","authors_text":"Ana Casimiro, Andr\\'e Oliveira, Carlos Florentino, Sean Lawton","submitted_at":"2014-12-14T19:15:57Z","abstract_excerpt":"Let G be a real reductive algebraic group with maximal compact subgroup K, and let F be a rank r free group. Here, we summarize the construction of a natural strong deformation retraction from the space of closed orbits in Hom(F,G)/G to the orbit space Hom(F,K)/K. In particular, these spaces have the same homotopy type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4396","kind":"arxiv","version":1},"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":"2026-05-18T01:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vR1Vh38NFGHN5eViNBdTIx1JbLI/z9rW8tAFhfH+mbG/XL5Cj3mxngOIitzZ//zmWNsoJFUGMI1LCfUFDscIDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T11:17:49.170329Z"},"content_sha256":"5115689dc3ba875d8871708418e13c3e123893207d16ef47ea839e48f5aa8266","schema_version":"1.0","event_id":"sha256:5115689dc3ba875d8871708418e13c3e123893207d16ef47ea839e48f5aa8266"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2RSSMYISNSB5SUE7OJ73YC6VHR/bundle.json","state_url":"https://pith.science/pith/2RSSMYISNSB5SUE7OJ73YC6VHR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2RSSMYISNSB5SUE7OJ73YC6VHR/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":"2026-06-20T11:17:49Z","links":{"resolver":"https://pith.science/pith/2RSSMYISNSB5SUE7OJ73YC6VHR","bundle":"https://pith.science/pith/2RSSMYISNSB5SUE7OJ73YC6VHR/bundle.json","state":"https://pith.science/pith/2RSSMYISNSB5SUE7OJ73YC6VHR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2RSSMYISNSB5SUE7OJ73YC6VHR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2RSSMYISNSB5SUE7OJ73YC6VHR","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":"85282a2d68f2b52aa9357714063259392a11e01b430050cd74235a9c71d761e0","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-12-14T19:15:57Z","title_canon_sha256":"7ff80b91e759f69097fcf32fb2dc0098e3b3ceecebb4b41c50147646267c1d6d"},"schema_version":"1.0","source":{"id":"1412.4396","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4396","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4396v1","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4396","created_at":"2026-05-18T01:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"2RSSMYISNSB5","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"2RSSMYISNSB5SUE7","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"2RSSMYIS","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:5115689dc3ba875d8871708418e13c3e123893207d16ef47ea839e48f5aa8266","target":"graph","created_at":"2026-05-18T01:04:05Z","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":"Let G be a real reductive algebraic group with maximal compact subgroup K, and let F be a rank r free group. Here, we summarize the construction of a natural strong deformation retraction from the space of closed orbits in Hom(F,G)/G to the orbit space Hom(F,K)/K. In particular, these spaces have the same homotopy type.","authors_text":"Ana Casimiro, Andr\\'e Oliveira, Carlos Florentino, Sean Lawton","cross_cats":["math.AG","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-12-14T19:15:57Z","title":"Homotopy type of free group character varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4396","kind":"arxiv","version":1},"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":"sha256:5548aea69f62619242f08804506dbb6f49307900f4ae72319ced1c67d5fed3d0","target":"record","created_at":"2026-05-18T01:04:05Z","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":"85282a2d68f2b52aa9357714063259392a11e01b430050cd74235a9c71d761e0","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-12-14T19:15:57Z","title_canon_sha256":"7ff80b91e759f69097fcf32fb2dc0098e3b3ceecebb4b41c50147646267c1d6d"},"schema_version":"1.0","source":{"id":"1412.4396","kind":"arxiv","version":1}},"canonical_sha256":"d4652661126c83d9509f727fbc0bd53c4db05ef43cec8c2a9f92401846b04f12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4652661126c83d9509f727fbc0bd53c4db05ef43cec8c2a9f92401846b04f12","first_computed_at":"2026-05-18T01:04:05.939015Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:05.939015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PY6OR/Jln+JtGrr8YdDXaGryr3siSMaFFhjqs+3AB5Uv9wyvrPanEzcMk1x64JqebhLZfLjepZjS+gfzeGXRAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:05.939540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4396","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5548aea69f62619242f08804506dbb6f49307900f4ae72319ced1c67d5fed3d0","sha256:5115689dc3ba875d8871708418e13c3e123893207d16ef47ea839e48f5aa8266"],"state_sha256":"07a7ab3e080a3887a5e0599a61d9f13cea93277f407978adc394fb1f8f00786f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CwZ1K9ji5F1VYNX2+IUN/G60+7AMM6zXKBuVTtdqFjnSJGLQXith7PIbDi3XZBqw6T43PUDW6JmXgkJiU8CMDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T11:17:49.172117Z","bundle_sha256":"e71c1509cfbfe7bdae833264b049595413d0568cfa08d26955d209d60dc7f3e4"}}