{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:GXWENDVFV5ONZZRPR76E5XL4PG","short_pith_number":"pith:GXWENDVF","canonical_record":{"source":{"id":"math/0204077","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2002-04-06T10:04:47Z","cross_cats_sorted":[],"title_canon_sha256":"6b723af2ef8bd94880174de5a2fcb27368d2bbbd092138cc4c8e8f84e20c5a1e","abstract_canon_sha256":"7affecdc1e2af092c785efaefcea8dafdc0f17843ddee43bfabb5d9746624d27"},"schema_version":"1.0"},"canonical_sha256":"35ec468ea5af5cdce62f8ffc4edd7c79be679ae879ec3c191e492497605764a9","source":{"kind":"arxiv","id":"math/0204077","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0204077","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"arxiv_version","alias_value":"math/0204077v2","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0204077","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"pith_short_12","alias_value":"GXWENDVFV5ON","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GXWENDVFV5ONZZRP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GXWENDVF","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:GXWENDVFV5ONZZRPR76E5XL4PG","target":"record","payload":{"canonical_record":{"source":{"id":"math/0204077","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2002-04-06T10:04:47Z","cross_cats_sorted":[],"title_canon_sha256":"6b723af2ef8bd94880174de5a2fcb27368d2bbbd092138cc4c8e8f84e20c5a1e","abstract_canon_sha256":"7affecdc1e2af092c785efaefcea8dafdc0f17843ddee43bfabb5d9746624d27"},"schema_version":"1.0"},"canonical_sha256":"35ec468ea5af5cdce62f8ffc4edd7c79be679ae879ec3c191e492497605764a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:00.657937Z","signature_b64":"dzozRkJ47rls0zz1ufraOrHrJ6aO7JCoQ4/gWVUs8ReORlMaF7SnEldYOZ23NZvDV/YZs81AdDRrKEu0mdHaAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35ec468ea5af5cdce62f8ffc4edd7c79be679ae879ec3c191e492497605764a9","last_reissued_at":"2026-05-18T02:38:00.657498Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:00.657498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0204077","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":"2026-05-18T02:38:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Upg8t+EVoaPwZB2iqFvAi/ajiVGCaY6zC3S4a79vSN2W1GLuyUvnklGxkzGoQdgyOg3hYVqMd5iJW73jPSBeBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:45:57.195229Z"},"content_sha256":"4855de23957d83a3ed7cae211e7a145527a9efc3d3f4246aeb501c2e2b34507d","schema_version":"1.0","event_id":"sha256:4855de23957d83a3ed7cae211e7a145527a9efc3d3f4246aeb501c2e2b34507d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:GXWENDVFV5ONZZRPR76E5XL4PG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Period three actions on the three-sphere","license":"","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"J. Hyam Rubinstein, Joseph Maher","submitted_at":"2002-04-06T10:04:47Z","abstract_excerpt":"We show that a free period three action on the three-sphere is standard, i.e. the quotient is homeomorphic to a lens space. We use a minimax argument involving sweepouts."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0204077","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":"2026-05-18T02:38:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sO12Bs+xt0F1LMbiM5vi6hS7tLKuD0m2mGI7crYKJTJ3fXU+Znbj53ivPrtznz2CHwTBe0S3YOF45ud7GDyBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:45:57.195607Z"},"content_sha256":"8b730777ac5499af68507cb26766b2adaf1f3fd323693e2bb75f52deed6ac0e8","schema_version":"1.0","event_id":"sha256:8b730777ac5499af68507cb26766b2adaf1f3fd323693e2bb75f52deed6ac0e8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GXWENDVFV5ONZZRPR76E5XL4PG/bundle.json","state_url":"https://pith.science/pith/GXWENDVFV5ONZZRPR76E5XL4PG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GXWENDVFV5ONZZRPR76E5XL4PG/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":"2026-06-05T16:45:57Z","links":{"resolver":"https://pith.science/pith/GXWENDVFV5ONZZRPR76E5XL4PG","bundle":"https://pith.science/pith/GXWENDVFV5ONZZRPR76E5XL4PG/bundle.json","state":"https://pith.science/pith/GXWENDVFV5ONZZRPR76E5XL4PG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GXWENDVFV5ONZZRPR76E5XL4PG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:GXWENDVFV5ONZZRPR76E5XL4PG","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":"7affecdc1e2af092c785efaefcea8dafdc0f17843ddee43bfabb5d9746624d27","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2002-04-06T10:04:47Z","title_canon_sha256":"6b723af2ef8bd94880174de5a2fcb27368d2bbbd092138cc4c8e8f84e20c5a1e"},"schema_version":"1.0","source":{"id":"math/0204077","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0204077","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"arxiv_version","alias_value":"math/0204077v2","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0204077","created_at":"2026-05-18T02:38:00Z"},{"alias_kind":"pith_short_12","alias_value":"GXWENDVFV5ON","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"GXWENDVFV5ONZZRP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"GXWENDVF","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:8b730777ac5499af68507cb26766b2adaf1f3fd323693e2bb75f52deed6ac0e8","target":"graph","created_at":"2026-05-18T02:38:00Z","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 free period three action on the three-sphere is standard, i.e. the quotient is homeomorphic to a lens space. We use a minimax argument involving sweepouts.","authors_text":"J. Hyam Rubinstein, Joseph Maher","cross_cats":[],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2002-04-06T10:04:47Z","title":"Period three actions on the three-sphere"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0204077","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":"sha256:4855de23957d83a3ed7cae211e7a145527a9efc3d3f4246aeb501c2e2b34507d","target":"record","created_at":"2026-05-18T02:38:00Z","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":"7affecdc1e2af092c785efaefcea8dafdc0f17843ddee43bfabb5d9746624d27","cross_cats_sorted":[],"license":"","primary_cat":"math.GT","submitted_at":"2002-04-06T10:04:47Z","title_canon_sha256":"6b723af2ef8bd94880174de5a2fcb27368d2bbbd092138cc4c8e8f84e20c5a1e"},"schema_version":"1.0","source":{"id":"math/0204077","kind":"arxiv","version":2}},"canonical_sha256":"35ec468ea5af5cdce62f8ffc4edd7c79be679ae879ec3c191e492497605764a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35ec468ea5af5cdce62f8ffc4edd7c79be679ae879ec3c191e492497605764a9","first_computed_at":"2026-05-18T02:38:00.657498Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:00.657498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dzozRkJ47rls0zz1ufraOrHrJ6aO7JCoQ4/gWVUs8ReORlMaF7SnEldYOZ23NZvDV/YZs81AdDRrKEu0mdHaAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:00.657937Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0204077","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4855de23957d83a3ed7cae211e7a145527a9efc3d3f4246aeb501c2e2b34507d","sha256:8b730777ac5499af68507cb26766b2adaf1f3fd323693e2bb75f52deed6ac0e8"],"state_sha256":"31a5de902e90f7fd1232a986c735b4d7e19a470f77ec2d83f987eb28b9c7060a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TnRHJSJtTLHA70ZfRvhuU+7WlQ8fh46UXrQvA3UBwt3PC9Dy7UZLjuLt73xaXlPNVA4bG++v9ND3hcwaybnZDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:45:57.197601Z","bundle_sha256":"2369a1b10c41b0f9b45e0ad72288af19da205b61c7a0ce1ce12a6c8c7d7db8e3"}}