{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:RI7HXSIJXILXYOLFMKBQXNWC33","short_pith_number":"pith:RI7HXSIJ","canonical_record":{"source":{"id":"0802.2035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2008-02-14T15:31:09Z","cross_cats_sorted":[],"title_canon_sha256":"f101246361ee932a4c96f6902affa1f714a8c12b86ac9e05bcdd6ae387be5aa6","abstract_canon_sha256":"52ddfd185bca7fdb25266b6a854dd193676b299e55f1ffaea01c863644183275"},"schema_version":"1.0"},"canonical_sha256":"8a3e7bc909ba177c396562830bb6c2dec45988efbfabb6d0517ba51f6427f8f8","source":{"kind":"arxiv","id":"0802.2035","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.2035","created_at":"2026-05-18T01:09:24Z"},{"alias_kind":"arxiv_version","alias_value":"0802.2035v1","created_at":"2026-05-18T01:09:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.2035","created_at":"2026-05-18T01:09:24Z"},{"alias_kind":"pith_short_12","alias_value":"RI7HXSIJXILX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"RI7HXSIJXILXYOLF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"RI7HXSIJ","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:RI7HXSIJXILXYOLFMKBQXNWC33","target":"record","payload":{"canonical_record":{"source":{"id":"0802.2035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2008-02-14T15:31:09Z","cross_cats_sorted":[],"title_canon_sha256":"f101246361ee932a4c96f6902affa1f714a8c12b86ac9e05bcdd6ae387be5aa6","abstract_canon_sha256":"52ddfd185bca7fdb25266b6a854dd193676b299e55f1ffaea01c863644183275"},"schema_version":"1.0"},"canonical_sha256":"8a3e7bc909ba177c396562830bb6c2dec45988efbfabb6d0517ba51f6427f8f8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:24.538732Z","signature_b64":"P3I3coh1XVB0D1S5GNCQlbBdmz2zwh8s2APKpdbjiPo5I27FEXEW3E9vOiQ2ag9SDk1hClyHkZ6m2aCRL2KhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a3e7bc909ba177c396562830bb6c2dec45988efbfabb6d0517ba51f6427f8f8","last_reissued_at":"2026-05-18T01:09:24.538251Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:24.538251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0802.2035","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":"2026-05-18T01:09:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nkmvw8LJeITV5VVzfgxU7xYpCQH9o9wUjTwFwWXe2WDn8bLkoRg4zOicON4XjNLt4/lPTHDatd7C202WR4e2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T00:49:52.119600Z"},"content_sha256":"f5de67c55d8c3e6d894c5455b057052cdcdee258b74523c42e6144d080c2f1da","schema_version":"1.0","event_id":"sha256:f5de67c55d8c3e6d894c5455b057052cdcdee258b74523c42e6144d080c2f1da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:RI7HXSIJXILXYOLFMKBQXNWC33","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Free involutions on S^1xS^n","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Bj{\\o}rn Jahren, S{\\l}awomir Kwasik","submitted_at":"2008-02-14T15:31:09Z","abstract_excerpt":"Topological free involutions on S^1xS^n are classified up to conjugation. As a byproduct we obtain a new computation of the group of concordance classes of homeomorphisms of the projective space RP^n."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2035","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":"2026-05-18T01:09:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gz/tr0ZeeUL3ddQC9VFSmeTG85Z4VkSj9zRuFdmHT/VvFxvaQafYXDf4KQ5axRqlYNPBBTIby09vjC02EtGoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T00:49:52.119948Z"},"content_sha256":"b26010df4c4c6cb549b5372b6d24ad0b1321ba5d6b545ed4af2d972a94d77d88","schema_version":"1.0","event_id":"sha256:b26010df4c4c6cb549b5372b6d24ad0b1321ba5d6b545ed4af2d972a94d77d88"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RI7HXSIJXILXYOLFMKBQXNWC33/bundle.json","state_url":"https://pith.science/pith/RI7HXSIJXILXYOLFMKBQXNWC33/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RI7HXSIJXILXYOLFMKBQXNWC33/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":"2026-06-22T00:49:52Z","links":{"resolver":"https://pith.science/pith/RI7HXSIJXILXYOLFMKBQXNWC33","bundle":"https://pith.science/pith/RI7HXSIJXILXYOLFMKBQXNWC33/bundle.json","state":"https://pith.science/pith/RI7HXSIJXILXYOLFMKBQXNWC33/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RI7HXSIJXILXYOLFMKBQXNWC33/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:RI7HXSIJXILXYOLFMKBQXNWC33","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":"52ddfd185bca7fdb25266b6a854dd193676b299e55f1ffaea01c863644183275","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2008-02-14T15:31:09Z","title_canon_sha256":"f101246361ee932a4c96f6902affa1f714a8c12b86ac9e05bcdd6ae387be5aa6"},"schema_version":"1.0","source":{"id":"0802.2035","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.2035","created_at":"2026-05-18T01:09:24Z"},{"alias_kind":"arxiv_version","alias_value":"0802.2035v1","created_at":"2026-05-18T01:09:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.2035","created_at":"2026-05-18T01:09:24Z"},{"alias_kind":"pith_short_12","alias_value":"RI7HXSIJXILX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"RI7HXSIJXILXYOLF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"RI7HXSIJ","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:b26010df4c4c6cb549b5372b6d24ad0b1321ba5d6b545ed4af2d972a94d77d88","target":"graph","created_at":"2026-05-18T01:09:24Z","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":"Topological free involutions on S^1xS^n are classified up to conjugation. As a byproduct we obtain a new computation of the group of concordance classes of homeomorphisms of the projective space RP^n.","authors_text":"Bj{\\o}rn Jahren, S{\\l}awomir Kwasik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2008-02-14T15:31:09Z","title":"Free involutions on S^1xS^n"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2035","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:f5de67c55d8c3e6d894c5455b057052cdcdee258b74523c42e6144d080c2f1da","target":"record","created_at":"2026-05-18T01:09:24Z","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":"52ddfd185bca7fdb25266b6a854dd193676b299e55f1ffaea01c863644183275","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2008-02-14T15:31:09Z","title_canon_sha256":"f101246361ee932a4c96f6902affa1f714a8c12b86ac9e05bcdd6ae387be5aa6"},"schema_version":"1.0","source":{"id":"0802.2035","kind":"arxiv","version":1}},"canonical_sha256":"8a3e7bc909ba177c396562830bb6c2dec45988efbfabb6d0517ba51f6427f8f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a3e7bc909ba177c396562830bb6c2dec45988efbfabb6d0517ba51f6427f8f8","first_computed_at":"2026-05-18T01:09:24.538251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:24.538251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P3I3coh1XVB0D1S5GNCQlbBdmz2zwh8s2APKpdbjiPo5I27FEXEW3E9vOiQ2ag9SDk1hClyHkZ6m2aCRL2KhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:24.538732Z","signed_message":"canonical_sha256_bytes"},"source_id":"0802.2035","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5de67c55d8c3e6d894c5455b057052cdcdee258b74523c42e6144d080c2f1da","sha256:b26010df4c4c6cb549b5372b6d24ad0b1321ba5d6b545ed4af2d972a94d77d88"],"state_sha256":"18b7f691025caafb9914bef3ffc86264ab9fbe497be09616344919dc4e55cfcc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CtTkcN9EMrqGhJGEZm8FxYgl2e6kyKuif+j+Wy5yYXMHj+0R3lOrRBOEzu6Blhxtz0ogDA1NfpQK3GYWaYJlBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T00:49:52.121886Z","bundle_sha256":"0ed3dc1c24ed953a0b0ee5ea13fc4d04138f3c4747ea8fdd1f705aa5038b4a34"}}