{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3DOUKNWBRLTHPFOAZVSBWLRFG6","short_pith_number":"pith:3DOUKNWB","canonical_record":{"source":{"id":"1807.00695","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-02T14:18:07Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"df63f4d4a4bdb734783bcd10fed18bbe2de002143ee9dcff23286964bae64e9e","abstract_canon_sha256":"638164d16bf312c2ed1ea014aa0ea083d8b77476e5dfc5d7da0318d7e4cfadde"},"schema_version":"1.0"},"canonical_sha256":"d8dd4536c18ae67795c0cd641b2e253794200f0154f9ed40bffe1c2f31c6f38e","source":{"kind":"arxiv","id":"1807.00695","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00695","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00695v2","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00695","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"pith_short_12","alias_value":"3DOUKNWBRLTH","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3DOUKNWBRLTHPFOA","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3DOUKNWB","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3DOUKNWBRLTHPFOAZVSBWLRFG6","target":"record","payload":{"canonical_record":{"source":{"id":"1807.00695","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-02T14:18:07Z","cross_cats_sorted":["math.GN"],"title_canon_sha256":"df63f4d4a4bdb734783bcd10fed18bbe2de002143ee9dcff23286964bae64e9e","abstract_canon_sha256":"638164d16bf312c2ed1ea014aa0ea083d8b77476e5dfc5d7da0318d7e4cfadde"},"schema_version":"1.0"},"canonical_sha256":"d8dd4536c18ae67795c0cd641b2e253794200f0154f9ed40bffe1c2f31c6f38e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:52.775944Z","signature_b64":"8CqrFZLUFIPlIejWEUYMZnBF+U61J9huq5+lAU896GKASCO8swMfaATUu55l7ZRJVVDSsJm1UynOnbO4sWFVAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8dd4536c18ae67795c0cd641b2e253794200f0154f9ed40bffe1c2f31c6f38e","last_reissued_at":"2026-05-17T23:49:52.775187Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:52.775187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.00695","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":"2026-05-17T23:49:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ut/jewYutrGpZCUds+7d4v7iCOjB+vR1BF5S7oVwSLaacLlNlKNISq1H/isEaLaVxUNyG40SuN7K3KZpzW0CAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:07:05.042673Z"},"content_sha256":"3d3616a6614a6f9355c25a7a2063c75e235587aa1710375497d675075e37843f","schema_version":"1.0","event_id":"sha256:3d3616a6614a6f9355c25a7a2063c75e235587aa1710375497d675075e37843f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3DOUKNWBRLTHPFOAZVSBWLRFG6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An affirmative answer to Yamada's Conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GN"],"primary_cat":"math.GR","authors_text":"Chuan Liu, Fucai Lin","submitted_at":"2018-07-02T14:18:07Z","abstract_excerpt":"In this paper, we give an affirmative answer to Yamada's Conjecture on free topological groups, which was posed in [K. Yamada, {\\it Fr\\'echet-Urysohn spaces in free topological groups}, Proc. Amer. Math. Soc., {\\bf 130}(2002), 2461--2469.]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00695","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":"2026-05-17T23:49:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yxV7mcU2tGr0eamYk99aT/uCiQgvOFOcBPx2cdb5c9DH8FUv6LK7+YfLw4uR2oGY2ISsg6Qo4JDpBfghZ4fAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T20:07:05.043261Z"},"content_sha256":"9d9d24af37fe00857de5217f60802ee88c46c5768d5d245799abd3396a5c8ac0","schema_version":"1.0","event_id":"sha256:9d9d24af37fe00857de5217f60802ee88c46c5768d5d245799abd3396a5c8ac0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3DOUKNWBRLTHPFOAZVSBWLRFG6/bundle.json","state_url":"https://pith.science/pith/3DOUKNWBRLTHPFOAZVSBWLRFG6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3DOUKNWBRLTHPFOAZVSBWLRFG6/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":"2026-06-06T20:07:05Z","links":{"resolver":"https://pith.science/pith/3DOUKNWBRLTHPFOAZVSBWLRFG6","bundle":"https://pith.science/pith/3DOUKNWBRLTHPFOAZVSBWLRFG6/bundle.json","state":"https://pith.science/pith/3DOUKNWBRLTHPFOAZVSBWLRFG6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3DOUKNWBRLTHPFOAZVSBWLRFG6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3DOUKNWBRLTHPFOAZVSBWLRFG6","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":"638164d16bf312c2ed1ea014aa0ea083d8b77476e5dfc5d7da0318d7e4cfadde","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-02T14:18:07Z","title_canon_sha256":"df63f4d4a4bdb734783bcd10fed18bbe2de002143ee9dcff23286964bae64e9e"},"schema_version":"1.0","source":{"id":"1807.00695","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00695","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00695v2","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00695","created_at":"2026-05-17T23:49:52Z"},{"alias_kind":"pith_short_12","alias_value":"3DOUKNWBRLTH","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"3DOUKNWBRLTHPFOA","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"3DOUKNWB","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:9d9d24af37fe00857de5217f60802ee88c46c5768d5d245799abd3396a5c8ac0","target":"graph","created_at":"2026-05-17T23:49:52Z","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 give an affirmative answer to Yamada's Conjecture on free topological groups, which was posed in [K. Yamada, {\\it Fr\\'echet-Urysohn spaces in free topological groups}, Proc. Amer. Math. Soc., {\\bf 130}(2002), 2461--2469.].","authors_text":"Chuan Liu, Fucai Lin","cross_cats":["math.GN"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-02T14:18:07Z","title":"An affirmative answer to Yamada's Conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00695","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":"sha256:3d3616a6614a6f9355c25a7a2063c75e235587aa1710375497d675075e37843f","target":"record","created_at":"2026-05-17T23:49:52Z","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":"638164d16bf312c2ed1ea014aa0ea083d8b77476e5dfc5d7da0318d7e4cfadde","cross_cats_sorted":["math.GN"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2018-07-02T14:18:07Z","title_canon_sha256":"df63f4d4a4bdb734783bcd10fed18bbe2de002143ee9dcff23286964bae64e9e"},"schema_version":"1.0","source":{"id":"1807.00695","kind":"arxiv","version":2}},"canonical_sha256":"d8dd4536c18ae67795c0cd641b2e253794200f0154f9ed40bffe1c2f31c6f38e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8dd4536c18ae67795c0cd641b2e253794200f0154f9ed40bffe1c2f31c6f38e","first_computed_at":"2026-05-17T23:49:52.775187Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:52.775187Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8CqrFZLUFIPlIejWEUYMZnBF+U61J9huq5+lAU896GKASCO8swMfaATUu55l7ZRJVVDSsJm1UynOnbO4sWFVAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:52.775944Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.00695","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d3616a6614a6f9355c25a7a2063c75e235587aa1710375497d675075e37843f","sha256:9d9d24af37fe00857de5217f60802ee88c46c5768d5d245799abd3396a5c8ac0"],"state_sha256":"92539f93eae509b32e65e64708e6aa25b07ccc2b10cfd5caf49a70b7f6ba2190"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nAnLkjFbLDmBQf8QRVCD1ri+2EhOTKx9zQG4ccsoKhD4XGl6y1u2rV1r544CVPbzCw46kMizQ7jaRk0Xor3PDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T20:07:05.045655Z","bundle_sha256":"f06973aae8906ed36b60b5410dd508db7502a4feb7e22f9353d48e68360fb972"}}