{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7RI3EFLWVSWILECVDZRKURNB4U","short_pith_number":"pith:7RI3EFLW","canonical_record":{"source":{"id":"1703.01716","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-06T03:22:31Z","cross_cats_sorted":[],"title_canon_sha256":"97b4f85427b3c296de0564ced501e10ef00849462df3a1fc1e4eb2f82baabe43","abstract_canon_sha256":"3d81046842552620007693c2bc34937a09ba112bf300ae50dfc9e9aa77e6a995"},"schema_version":"1.0"},"canonical_sha256":"fc51b21576acac8590551e62aa45a1e529f9dbec3181c15abeb901cfa6a97a81","source":{"kind":"arxiv","id":"1703.01716","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01716","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01716v1","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01716","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"pith_short_12","alias_value":"7RI3EFLWVSWI","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7RI3EFLWVSWILECV","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7RI3EFLW","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7RI3EFLWVSWILECVDZRKURNB4U","target":"record","payload":{"canonical_record":{"source":{"id":"1703.01716","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-06T03:22:31Z","cross_cats_sorted":[],"title_canon_sha256":"97b4f85427b3c296de0564ced501e10ef00849462df3a1fc1e4eb2f82baabe43","abstract_canon_sha256":"3d81046842552620007693c2bc34937a09ba112bf300ae50dfc9e9aa77e6a995"},"schema_version":"1.0"},"canonical_sha256":"fc51b21576acac8590551e62aa45a1e529f9dbec3181c15abeb901cfa6a97a81","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:29.880298Z","signature_b64":"z8CmM5EwhZIsrxpyzruUWGhrzTMcojx3QfVa35+KZLUGrUTAXfsB9QLKLOkQcmaZ2IruqS8TKxbMVBH/UUAFAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc51b21576acac8590551e62aa45a1e529f9dbec3181c15abeb901cfa6a97a81","last_reissued_at":"2026-05-18T00:49:29.879758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:29.879758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.01716","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":"2026-05-18T00:49:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Os8G+uWflD09+w6HRXq56AWlwAV07BZOHaWR7vamH4ldy/bpXJsDxlrXyg5e3kbYX/VAm3+3DWuecmf/GY0oDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:37:19.959146Z"},"content_sha256":"c7f6331412c9d70f0e467dcd5563fb8d6fae2af8be70e26a783105ea10852096","schema_version":"1.0","event_id":"sha256:c7f6331412c9d70f0e467dcd5563fb8d6fae2af8be70e26a783105ea10852096"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7RI3EFLWVSWILECVDZRKURNB4U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three Questions on Special Homeomorphisms on Subgroups of $R$ and $R^\\infty$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"James West, Raushan Buzyakova","submitted_at":"2017-03-06T03:22:31Z","abstract_excerpt":"We provide justifications for two questions on special maps on subgroups of the reals. We will show that the questions can be treated from different points of view. We also discuss two versions of Anderson's Involution Conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01716","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":"2026-05-18T00:49:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2XeHaHuuMwf0JorfllUvj6v52Cgk0oIFbdTXa7om1V2v7s4azntRouAU2vk3CBQa5OcPGjEb/DCxZU12G2lVAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T05:37:19.959786Z"},"content_sha256":"fcc0f536a573d71deebfebdac7886b2177ca843b032cb8fed5d625654e0fa724","schema_version":"1.0","event_id":"sha256:fcc0f536a573d71deebfebdac7886b2177ca843b032cb8fed5d625654e0fa724"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7RI3EFLWVSWILECVDZRKURNB4U/bundle.json","state_url":"https://pith.science/pith/7RI3EFLWVSWILECVDZRKURNB4U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7RI3EFLWVSWILECVDZRKURNB4U/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":"2026-06-05T05:37:19Z","links":{"resolver":"https://pith.science/pith/7RI3EFLWVSWILECVDZRKURNB4U","bundle":"https://pith.science/pith/7RI3EFLWVSWILECVDZRKURNB4U/bundle.json","state":"https://pith.science/pith/7RI3EFLWVSWILECVDZRKURNB4U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7RI3EFLWVSWILECVDZRKURNB4U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7RI3EFLWVSWILECVDZRKURNB4U","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":"3d81046842552620007693c2bc34937a09ba112bf300ae50dfc9e9aa77e6a995","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-06T03:22:31Z","title_canon_sha256":"97b4f85427b3c296de0564ced501e10ef00849462df3a1fc1e4eb2f82baabe43"},"schema_version":"1.0","source":{"id":"1703.01716","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01716","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01716v1","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01716","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"pith_short_12","alias_value":"7RI3EFLWVSWI","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7RI3EFLWVSWILECV","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7RI3EFLW","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:fcc0f536a573d71deebfebdac7886b2177ca843b032cb8fed5d625654e0fa724","target":"graph","created_at":"2026-05-18T00:49:29Z","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 provide justifications for two questions on special maps on subgroups of the reals. We will show that the questions can be treated from different points of view. We also discuss two versions of Anderson's Involution Conjecture.","authors_text":"James West, Raushan Buzyakova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-06T03:22:31Z","title":"Three Questions on Special Homeomorphisms on Subgroups of $R$ and $R^\\infty$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01716","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:c7f6331412c9d70f0e467dcd5563fb8d6fae2af8be70e26a783105ea10852096","target":"record","created_at":"2026-05-18T00:49:29Z","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":"3d81046842552620007693c2bc34937a09ba112bf300ae50dfc9e9aa77e6a995","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-03-06T03:22:31Z","title_canon_sha256":"97b4f85427b3c296de0564ced501e10ef00849462df3a1fc1e4eb2f82baabe43"},"schema_version":"1.0","source":{"id":"1703.01716","kind":"arxiv","version":1}},"canonical_sha256":"fc51b21576acac8590551e62aa45a1e529f9dbec3181c15abeb901cfa6a97a81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc51b21576acac8590551e62aa45a1e529f9dbec3181c15abeb901cfa6a97a81","first_computed_at":"2026-05-18T00:49:29.879758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:29.879758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z8CmM5EwhZIsrxpyzruUWGhrzTMcojx3QfVa35+KZLUGrUTAXfsB9QLKLOkQcmaZ2IruqS8TKxbMVBH/UUAFAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:29.880298Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.01716","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7f6331412c9d70f0e467dcd5563fb8d6fae2af8be70e26a783105ea10852096","sha256:fcc0f536a573d71deebfebdac7886b2177ca843b032cb8fed5d625654e0fa724"],"state_sha256":"356da89bcedd3a4a5d7585fd9ddec950c19dbcb5c9b1e57b7b67fb02720c6f4d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xnjRN5R31cs2HtCNxuu/x5DiQhpjaNIwI/Yjz3k3Egjf4zPMcqc+GsKStw2PsKAdYz6H4CLuEMNJhyqY5NlUDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T05:37:19.963073Z","bundle_sha256":"1a83e4b58cc0c91315b0ef2761d00fee03c95cf4f9252127a88732020129407a"}}