{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:JD6WQDLGHZEIRXG3J2GUCWMLYZ","short_pith_number":"pith:JD6WQDLG","canonical_record":{"source":{"id":"1201.0087","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-30T09:28:11Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"1c4705a5ee321ced24ac4e950976d825fd37cb337f0991936e18a752a49ad3f3","abstract_canon_sha256":"b2a0989fe6de15e4c6fa32d7f0c6dbb6221dc13dbb6c6becb11ba578ecdbc603"},"schema_version":"1.0"},"canonical_sha256":"48fd680d663e4888dcdb4e8d41598bc660fb78d01077652c1b0ddd1afe125a72","source":{"kind":"arxiv","id":"1201.0087","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0087","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0087v4","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0087","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"JD6WQDLGHZEI","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JD6WQDLGHZEIRXG3","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JD6WQDLG","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:JD6WQDLGHZEIRXG3J2GUCWMLYZ","target":"record","payload":{"canonical_record":{"source":{"id":"1201.0087","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-30T09:28:11Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"1c4705a5ee321ced24ac4e950976d825fd37cb337f0991936e18a752a49ad3f3","abstract_canon_sha256":"b2a0989fe6de15e4c6fa32d7f0c6dbb6221dc13dbb6c6becb11ba578ecdbc603"},"schema_version":"1.0"},"canonical_sha256":"48fd680d663e4888dcdb4e8d41598bc660fb78d01077652c1b0ddd1afe125a72","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:06.325507Z","signature_b64":"2VDkiw7OtsORDt90fkGZ+jLpKZoNYrJRVy4dE0+LLwjaT5O16WVn5pEL4HiBwd7dJ2P4CEbTicCYsxy9xKy5CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48fd680d663e4888dcdb4e8d41598bc660fb78d01077652c1b0ddd1afe125a72","last_reissued_at":"2026-05-18T03:22:06.324822Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:06.324822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.0087","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rzOBmLNqFKQBZNjnyTPEbPXqqh4yec3Jlv2cimXjpaBNqcaNUlEXVsGNMp+ze7f32KCp2eyp5pPBVG5HAemJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:41:39.130444Z"},"content_sha256":"6207b156573dc736553846d616a0850ec9e6426063f7868935f64aee4cfa4502","schema_version":"1.0","event_id":"sha256:6207b156573dc736553846d616a0850ec9e6426063f7868935f64aee4cfa4502"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:JD6WQDLGHZEIRXG3J2GUCWMLYZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraically determined topologies on permutation groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.GR","authors_text":"Igor Guran, Igor Protasov, Taras Banakh","submitted_at":"2011-12-30T09:28:11Z","abstract_excerpt":"In this paper we answer several questions of Dikran Dikranjan about algebraically determined topologies on the group of (finitely supported) permutations of a set X."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0087","kind":"arxiv","version":4},"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":"2026-05-18T03:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RWGvkDVezQxW83KLGyCX+oTLnwr3b3ufTdUj7D5dRH9CgLlcCF4FgaJA6WgDjba6ArIVQvufX2dubpf+WZR7BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:41:39.130826Z"},"content_sha256":"54c6347e85e31b32e8d07199c4ffcc818648b805e0ef4594403399ac2ed98e6a","schema_version":"1.0","event_id":"sha256:54c6347e85e31b32e8d07199c4ffcc818648b805e0ef4594403399ac2ed98e6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JD6WQDLGHZEIRXG3J2GUCWMLYZ/bundle.json","state_url":"https://pith.science/pith/JD6WQDLGHZEIRXG3J2GUCWMLYZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JD6WQDLGHZEIRXG3J2GUCWMLYZ/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":"2026-06-05T10:41:39Z","links":{"resolver":"https://pith.science/pith/JD6WQDLGHZEIRXG3J2GUCWMLYZ","bundle":"https://pith.science/pith/JD6WQDLGHZEIRXG3J2GUCWMLYZ/bundle.json","state":"https://pith.science/pith/JD6WQDLGHZEIRXG3J2GUCWMLYZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JD6WQDLGHZEIRXG3J2GUCWMLYZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JD6WQDLGHZEIRXG3J2GUCWMLYZ","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":"b2a0989fe6de15e4c6fa32d7f0c6dbb6221dc13dbb6c6becb11ba578ecdbc603","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-30T09:28:11Z","title_canon_sha256":"1c4705a5ee321ced24ac4e950976d825fd37cb337f0991936e18a752a49ad3f3"},"schema_version":"1.0","source":{"id":"1201.0087","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0087","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0087v4","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0087","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"JD6WQDLGHZEI","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JD6WQDLGHZEIRXG3","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JD6WQDLG","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:54c6347e85e31b32e8d07199c4ffcc818648b805e0ef4594403399ac2ed98e6a","target":"graph","created_at":"2026-05-18T03:22:06Z","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":"In this paper we answer several questions of Dikran Dikranjan about algebraically determined topologies on the group of (finitely supported) permutations of a set X.","authors_text":"Igor Guran, Igor Protasov, Taras Banakh","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-30T09:28:11Z","title":"Algebraically determined topologies on permutation groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0087","kind":"arxiv","version":4},"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":"sha256:6207b156573dc736553846d616a0850ec9e6426063f7868935f64aee4cfa4502","target":"record","created_at":"2026-05-18T03:22:06Z","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":"b2a0989fe6de15e4c6fa32d7f0c6dbb6221dc13dbb6c6becb11ba578ecdbc603","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2011-12-30T09:28:11Z","title_canon_sha256":"1c4705a5ee321ced24ac4e950976d825fd37cb337f0991936e18a752a49ad3f3"},"schema_version":"1.0","source":{"id":"1201.0087","kind":"arxiv","version":4}},"canonical_sha256":"48fd680d663e4888dcdb4e8d41598bc660fb78d01077652c1b0ddd1afe125a72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48fd680d663e4888dcdb4e8d41598bc660fb78d01077652c1b0ddd1afe125a72","first_computed_at":"2026-05-18T03:22:06.324822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:06.324822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2VDkiw7OtsORDt90fkGZ+jLpKZoNYrJRVy4dE0+LLwjaT5O16WVn5pEL4HiBwd7dJ2P4CEbTicCYsxy9xKy5CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:06.325507Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0087","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6207b156573dc736553846d616a0850ec9e6426063f7868935f64aee4cfa4502","sha256:54c6347e85e31b32e8d07199c4ffcc818648b805e0ef4594403399ac2ed98e6a"],"state_sha256":"f80dbf1a3dde65d45190ae93de51744d2407adc0a79535f83f7b4896ea7e5bc1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hq9ri+zd4wlmwj4mpVu93vtyyCKfi9dqHNY7uGvkmrInBoI+tOg0CEpgGDROQzRHyrh+Yaz3LQi4aMc6lgQWAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:41:39.132720Z","bundle_sha256":"f23d847cd575f4a93b85f9b9e0f252574009484e1437ee3a28d18a0291d7e8f1"}}