{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:LBP25HVGI3M5BSL34KHYTMLG5K","short_pith_number":"pith:LBP25HVG","canonical_record":{"source":{"id":"1707.00152","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-07-01T12:48:55Z","cross_cats_sorted":[],"title_canon_sha256":"bb47f41d191bbf96852f33470e441d08e0592253e16bc5adf4e482aedaaee822","abstract_canon_sha256":"6df175ee412aa158b2f5b94a15d14689f2298577af84d943f1ba841465d8fddd"},"schema_version":"1.0"},"canonical_sha256":"585fae9ea646d9d0c97be28f89b166eaaaf4890cb2bf80c18cb8cc18fcd475a6","source":{"kind":"arxiv","id":"1707.00152","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00152","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00152v2","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00152","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"LBP25HVGI3M5","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LBP25HVGI3M5BSL3","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LBP25HVG","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:LBP25HVGI3M5BSL34KHYTMLG5K","target":"record","payload":{"canonical_record":{"source":{"id":"1707.00152","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-07-01T12:48:55Z","cross_cats_sorted":[],"title_canon_sha256":"bb47f41d191bbf96852f33470e441d08e0592253e16bc5adf4e482aedaaee822","abstract_canon_sha256":"6df175ee412aa158b2f5b94a15d14689f2298577af84d943f1ba841465d8fddd"},"schema_version":"1.0"},"canonical_sha256":"585fae9ea646d9d0c97be28f89b166eaaaf4890cb2bf80c18cb8cc18fcd475a6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:34.298478Z","signature_b64":"0ARoxp41EMohmzMo02YZbRQ2bl0WRc3cbxpMQgytRnjjwlCWTb55FjOPFVIR4XEqpN6yql+iKyMc8iqlJJnvDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"585fae9ea646d9d0c97be28f89b166eaaaf4890cb2bf80c18cb8cc18fcd475a6","last_reissued_at":"2026-05-17T23:52:34.298033Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:34.298033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.00152","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":"2026-05-17T23:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9xBr109gi/0P5JaHs4rRniro/SdSj6fxGokcDSZ+LNh3rNerGXynMuJRSv9CMb+LTWplJvJ/MIffQkzIwZnVAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:45:52.222102Z"},"content_sha256":"cca11ecac2fa8da612c6185f2aac13964ead1b7f6cc7925c6d3b20ee7303d24a","schema_version":"1.0","event_id":"sha256:cca11ecac2fa8da612c6185f2aac13964ead1b7f6cc7925c6d3b20ee7303d24a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:LBP25HVGI3M5BSL34KHYTMLG5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chirally cosmetic surgeries and Casson invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Kazuhiro Ichihara, Tetsuya Ito, Toshio Saito","submitted_at":"2017-07-01T12:48:55Z","abstract_excerpt":"We study chirally cosmetic surgeries, that is, a pair of Dehn surgeries on a knot producing homeomorphic 3-manifolds with opposite orientations. Several constraints on knots and surgery slopes to admit such surgeries are given. Our main ingredients are the original and the $SL(2,\\mathbb{C})$ version of Casson invariants. As applications, we give a complete classification of chirally cosmetic surgeries on alternating knots of genus one."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00152","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":"2026-05-17T23:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CyuQsOppTbU1NUekijFCHjYpwjlzZV97rCCfMOfpB9Zm7sr4Y5L2BKnuXg5RGccPAXwFknbN2gjns3cYr8VzDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:45:52.222777Z"},"content_sha256":"96e5e905bc419caac031066051e51278417dd1b3e0ee856c844c73fb14635bb3","schema_version":"1.0","event_id":"sha256:96e5e905bc419caac031066051e51278417dd1b3e0ee856c844c73fb14635bb3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LBP25HVGI3M5BSL34KHYTMLG5K/bundle.json","state_url":"https://pith.science/pith/LBP25HVGI3M5BSL34KHYTMLG5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LBP25HVGI3M5BSL34KHYTMLG5K/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":"2026-06-08T10:45:52Z","links":{"resolver":"https://pith.science/pith/LBP25HVGI3M5BSL34KHYTMLG5K","bundle":"https://pith.science/pith/LBP25HVGI3M5BSL34KHYTMLG5K/bundle.json","state":"https://pith.science/pith/LBP25HVGI3M5BSL34KHYTMLG5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LBP25HVGI3M5BSL34KHYTMLG5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LBP25HVGI3M5BSL34KHYTMLG5K","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":"6df175ee412aa158b2f5b94a15d14689f2298577af84d943f1ba841465d8fddd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-07-01T12:48:55Z","title_canon_sha256":"bb47f41d191bbf96852f33470e441d08e0592253e16bc5adf4e482aedaaee822"},"schema_version":"1.0","source":{"id":"1707.00152","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00152","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00152v2","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00152","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"LBP25HVGI3M5","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LBP25HVGI3M5BSL3","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LBP25HVG","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:96e5e905bc419caac031066051e51278417dd1b3e0ee856c844c73fb14635bb3","target":"graph","created_at":"2026-05-17T23:52:34Z","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 study chirally cosmetic surgeries, that is, a pair of Dehn surgeries on a knot producing homeomorphic 3-manifolds with opposite orientations. Several constraints on knots and surgery slopes to admit such surgeries are given. Our main ingredients are the original and the $SL(2,\\mathbb{C})$ version of Casson invariants. As applications, we give a complete classification of chirally cosmetic surgeries on alternating knots of genus one.","authors_text":"Kazuhiro Ichihara, Tetsuya Ito, Toshio Saito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-07-01T12:48:55Z","title":"Chirally cosmetic surgeries and Casson invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00152","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:cca11ecac2fa8da612c6185f2aac13964ead1b7f6cc7925c6d3b20ee7303d24a","target":"record","created_at":"2026-05-17T23:52:34Z","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":"6df175ee412aa158b2f5b94a15d14689f2298577af84d943f1ba841465d8fddd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-07-01T12:48:55Z","title_canon_sha256":"bb47f41d191bbf96852f33470e441d08e0592253e16bc5adf4e482aedaaee822"},"schema_version":"1.0","source":{"id":"1707.00152","kind":"arxiv","version":2}},"canonical_sha256":"585fae9ea646d9d0c97be28f89b166eaaaf4890cb2bf80c18cb8cc18fcd475a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"585fae9ea646d9d0c97be28f89b166eaaaf4890cb2bf80c18cb8cc18fcd475a6","first_computed_at":"2026-05-17T23:52:34.298033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:34.298033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ARoxp41EMohmzMo02YZbRQ2bl0WRc3cbxpMQgytRnjjwlCWTb55FjOPFVIR4XEqpN6yql+iKyMc8iqlJJnvDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:34.298478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.00152","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cca11ecac2fa8da612c6185f2aac13964ead1b7f6cc7925c6d3b20ee7303d24a","sha256:96e5e905bc419caac031066051e51278417dd1b3e0ee856c844c73fb14635bb3"],"state_sha256":"75c34609302eef7b9e80051b0f1d8d2f0cf1f5c15dbd3d0a538cdfe60efaf375"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+5F3zrhX9fwUdLPKQZN3JwrE4u1tMSpSov/PZUwKf6j8hZxLp80toNGCIr+giBd5m27PRFQ2q1Kvix7GhgLlAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T10:45:52.225542Z","bundle_sha256":"f12125539b547dd5bd7ce0240d13d51acc9aef3d11c23ecdcf5dbd565e55e390"}}