{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BQFAQKVLDZFVNAZHWBODUWYXUQ","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":"6c1f3a6a6e3c878483e8afd06d8e4c4cff9946e2bef46f719be1474c94b6dd11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2011-05-06T06:40:07Z","title_canon_sha256":"7837af1092e2c5fcc144ea12f8dcb4ba6b4ed05b185600ff13c9a53e1b1b52a8"},"schema_version":"1.0","source":{"id":"1105.1231","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.1231","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"arxiv_version","alias_value":"1105.1231v3","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1231","created_at":"2026-05-18T03:12:58Z"},{"alias_kind":"pith_short_12","alias_value":"BQFAQKVLDZFV","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BQFAQKVLDZFVNAZH","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BQFAQKVL","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:8d8300b0339afefba0f485c67723b9169576b5dcc015f0506022aa1f0f89b221","target":"graph","created_at":"2026-05-18T03:12:58Z","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":"Inclusion relations of metric balls defined by the hyperbolic, the quasihyperbolic, the $j$-metric and the chordal metric will be studied. The hyperbolic metric, the quasihyperbolic metric and the $j$-metric are considered in the unit ball.","authors_text":"Matti Vuorinen, Riku Kl\\'en","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2011-05-06T06:40:07Z","title":"Inclusion relations of hyperbolic type metric balls II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1231","kind":"arxiv","version":3},"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:db9ec94266e76a853a213b43e911943c0800396e70ef3712eeb3a125e7825072","target":"record","created_at":"2026-05-18T03:12:58Z","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":"6c1f3a6a6e3c878483e8afd06d8e4c4cff9946e2bef46f719be1474c94b6dd11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2011-05-06T06:40:07Z","title_canon_sha256":"7837af1092e2c5fcc144ea12f8dcb4ba6b4ed05b185600ff13c9a53e1b1b52a8"},"schema_version":"1.0","source":{"id":"1105.1231","kind":"arxiv","version":3}},"canonical_sha256":"0c0a082aab1e4b568327b05c3a5b17a43e0df4fbd1081e1318c7cdd8ca2a9d42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c0a082aab1e4b568327b05c3a5b17a43e0df4fbd1081e1318c7cdd8ca2a9d42","first_computed_at":"2026-05-18T03:12:58.221807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:58.221807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L79RETX2EhkDE4atg4y52wfPeFL4DZ8DQwexBlJ4ln0ZHGpOSa3nnQ9GL8AowXuvMKOqKst/YHlfBJcsfwJ4DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:58.222406Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.1231","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db9ec94266e76a853a213b43e911943c0800396e70ef3712eeb3a125e7825072","sha256:8d8300b0339afefba0f485c67723b9169576b5dcc015f0506022aa1f0f89b221"],"state_sha256":"4245a93c13f425dff856473dee518989665c896b024ee78f3161adecef0035bf"}