{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YBEZBIGS5IBBQGE6RDOVSUD6AI","short_pith_number":"pith:YBEZBIGS","canonical_record":{"source":{"id":"1103.2510","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-03-13T11:08:41Z","cross_cats_sorted":[],"title_canon_sha256":"372b6f4cfab5c653a2cce931c516dde316b102498df6fede28ef201701bfb5b7","abstract_canon_sha256":"f67b17d667750f3c24bd389c53159d6010cce5fadbb6b752cf065e1491af5554"},"schema_version":"1.0"},"canonical_sha256":"c04990a0d2ea0218189e88dd59507e0223bf33a558ee449caacb6dd73312b53e","source":{"kind":"arxiv","id":"1103.2510","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.2510","created_at":"2026-05-18T04:26:55Z"},{"alias_kind":"arxiv_version","alias_value":"1103.2510v1","created_at":"2026-05-18T04:26:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2510","created_at":"2026-05-18T04:26:55Z"},{"alias_kind":"pith_short_12","alias_value":"YBEZBIGS5IBB","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YBEZBIGS5IBBQGE6","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YBEZBIGS","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YBEZBIGS5IBBQGE6RDOVSUD6AI","target":"record","payload":{"canonical_record":{"source":{"id":"1103.2510","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-03-13T11:08:41Z","cross_cats_sorted":[],"title_canon_sha256":"372b6f4cfab5c653a2cce931c516dde316b102498df6fede28ef201701bfb5b7","abstract_canon_sha256":"f67b17d667750f3c24bd389c53159d6010cce5fadbb6b752cf065e1491af5554"},"schema_version":"1.0"},"canonical_sha256":"c04990a0d2ea0218189e88dd59507e0223bf33a558ee449caacb6dd73312b53e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:55.144186Z","signature_b64":"6oWVlcSD/k8FwmePR1cKscqJojpGm7g5EnM1yrLeID0gOCty8jo3UV3XjccC06ixrJ/A8ZPYTIyDW+YXVGA3DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c04990a0d2ea0218189e88dd59507e0223bf33a558ee449caacb6dd73312b53e","last_reissued_at":"2026-05-18T04:26:55.143714Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:55.143714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.2510","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":"2026-05-18T04:26:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QhOxE97MeOQwiREXRESxFvRE0ZrCEeSUWq1bGsmXvuF78Q5/hK6W8by5gqlcNzYJ1RtI2EFTbxDFyflTBZAoDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:13:15.596003Z"},"content_sha256":"2559d0531779e2a900e64f7d94ffa50800a476d2793b93dcf5682ef0359fc8f1","schema_version":"1.0","event_id":"sha256:2559d0531779e2a900e64f7d94ffa50800a476d2793b93dcf5682ef0359fc8f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YBEZBIGS5IBBQGE6RDOVSUD6AI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exchange moves and braid representations of links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Alexander Stoimenow, Reiko Shinjo","submitted_at":"2011-03-13T11:08:41Z","abstract_excerpt":"We prove that under fairly general conditions an iterated exchange move gives infinitely many non-conjugate braids. As a consequence, every knot has infinitely many conjugacy classes of n-braid representations if and only if it has one admitting an exchange move."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2510","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":"2026-05-18T04:26:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IG38L47oRJuElTEWV8weHMYmMfPFOJPnrMuj3um/hUvZyloXCM6uUmbahtxTXbH2oIoQjMZEv57EtXB93T7uDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:13:15.596343Z"},"content_sha256":"68e8e9cdcba2d4427ad17473a57a72b847993cb060a52c82d37544a4ce6c5cf2","schema_version":"1.0","event_id":"sha256:68e8e9cdcba2d4427ad17473a57a72b847993cb060a52c82d37544a4ce6c5cf2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBEZBIGS5IBBQGE6RDOVSUD6AI/bundle.json","state_url":"https://pith.science/pith/YBEZBIGS5IBBQGE6RDOVSUD6AI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBEZBIGS5IBBQGE6RDOVSUD6AI/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":"2026-06-23T15:13:15Z","links":{"resolver":"https://pith.science/pith/YBEZBIGS5IBBQGE6RDOVSUD6AI","bundle":"https://pith.science/pith/YBEZBIGS5IBBQGE6RDOVSUD6AI/bundle.json","state":"https://pith.science/pith/YBEZBIGS5IBBQGE6RDOVSUD6AI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBEZBIGS5IBBQGE6RDOVSUD6AI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YBEZBIGS5IBBQGE6RDOVSUD6AI","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":"f67b17d667750f3c24bd389c53159d6010cce5fadbb6b752cf065e1491af5554","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-03-13T11:08:41Z","title_canon_sha256":"372b6f4cfab5c653a2cce931c516dde316b102498df6fede28ef201701bfb5b7"},"schema_version":"1.0","source":{"id":"1103.2510","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.2510","created_at":"2026-05-18T04:26:55Z"},{"alias_kind":"arxiv_version","alias_value":"1103.2510v1","created_at":"2026-05-18T04:26:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2510","created_at":"2026-05-18T04:26:55Z"},{"alias_kind":"pith_short_12","alias_value":"YBEZBIGS5IBB","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YBEZBIGS5IBBQGE6","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YBEZBIGS","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:68e8e9cdcba2d4427ad17473a57a72b847993cb060a52c82d37544a4ce6c5cf2","target":"graph","created_at":"2026-05-18T04:26:55Z","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 prove that under fairly general conditions an iterated exchange move gives infinitely many non-conjugate braids. As a consequence, every knot has infinitely many conjugacy classes of n-braid representations if and only if it has one admitting an exchange move.","authors_text":"Alexander Stoimenow, Reiko Shinjo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-03-13T11:08:41Z","title":"Exchange moves and braid representations of links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2510","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":"sha256:2559d0531779e2a900e64f7d94ffa50800a476d2793b93dcf5682ef0359fc8f1","target":"record","created_at":"2026-05-18T04:26:55Z","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":"f67b17d667750f3c24bd389c53159d6010cce5fadbb6b752cf065e1491af5554","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-03-13T11:08:41Z","title_canon_sha256":"372b6f4cfab5c653a2cce931c516dde316b102498df6fede28ef201701bfb5b7"},"schema_version":"1.0","source":{"id":"1103.2510","kind":"arxiv","version":1}},"canonical_sha256":"c04990a0d2ea0218189e88dd59507e0223bf33a558ee449caacb6dd73312b53e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c04990a0d2ea0218189e88dd59507e0223bf33a558ee449caacb6dd73312b53e","first_computed_at":"2026-05-18T04:26:55.143714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:55.143714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6oWVlcSD/k8FwmePR1cKscqJojpGm7g5EnM1yrLeID0gOCty8jo3UV3XjccC06ixrJ/A8ZPYTIyDW+YXVGA3DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:55.144186Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.2510","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2559d0531779e2a900e64f7d94ffa50800a476d2793b93dcf5682ef0359fc8f1","sha256:68e8e9cdcba2d4427ad17473a57a72b847993cb060a52c82d37544a4ce6c5cf2"],"state_sha256":"da9e44f44e68c3b0a8c9473bef553bc3e1116ebe0c7a49df9f01a387339099d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ax9XfENYsecNml81d97rXfVMuZ2bip8Xy7sxZ6jOEAtZKLUVA3St9PGi+TZc0wUg3vRB6Cme5gPROcQxv/ZBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:13:15.598200Z","bundle_sha256":"5a9aa88a0a21c289b044c2e863070b8ce22360cce778e1949221fe1b834e4465"}}