{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XVAUX36BZH6XG5YYZIFW44AD5Y","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":"8152579d381b08eda0bcb8dac94c96b8961597fcff6d6d28972d673d8b6673a8","cross_cats_sorted":["math.CA","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-07T17:30:08Z","title_canon_sha256":"56ecec9a58c850cbec99168075bb0be35a80e303361f24b7ee40770992ecc5b1"},"schema_version":"1.0","source":{"id":"1710.02710","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02710","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02710v2","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02710","created_at":"2026-05-18T00:19:41Z"},{"alias_kind":"pith_short_12","alias_value":"XVAUX36BZH6X","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XVAUX36BZH6XG5YY","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XVAUX36B","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:efc07de354a735f19ea8c56701431a30c87a336868c01797e3849a4c9c8f2dce","target":"graph","created_at":"2026-05-18T00:19:41Z","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 study a concept of inner function suited to Dirichlet-type spaces. We characterize Dirichlet-inner functions as those for which both the space and multiplier norms are equal to 1.","authors_text":"Daniel Seco","cross_cats":["math.CA","math.FA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-07T17:30:08Z","title":"A characterization of Dirichlet-inner functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02710","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:f655c2a8898e5c9dfd1b7bc39877698c5dc4ee8dd66d3e2587a51f41dcc6b63b","target":"record","created_at":"2026-05-18T00:19:41Z","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":"8152579d381b08eda0bcb8dac94c96b8961597fcff6d6d28972d673d8b6673a8","cross_cats_sorted":["math.CA","math.FA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-07T17:30:08Z","title_canon_sha256":"56ecec9a58c850cbec99168075bb0be35a80e303361f24b7ee40770992ecc5b1"},"schema_version":"1.0","source":{"id":"1710.02710","kind":"arxiv","version":2}},"canonical_sha256":"bd414befc1c9fd737718ca0b6e7003ee2235855fcf9739bad9fb8f17adab987d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd414befc1c9fd737718ca0b6e7003ee2235855fcf9739bad9fb8f17adab987d","first_computed_at":"2026-05-18T00:19:41.777152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:41.777152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"al+WXmCbQWR1MBn+sWOYak/TI9YvfFiY9SHjX4/GJ/xH6/qTv+8R7NkhIxXWyjx6exludRYdctf1gbMh33uoDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:41.777876Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.02710","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f655c2a8898e5c9dfd1b7bc39877698c5dc4ee8dd66d3e2587a51f41dcc6b63b","sha256:efc07de354a735f19ea8c56701431a30c87a336868c01797e3849a4c9c8f2dce"],"state_sha256":"9b201243d97448ee9023ef624df509f52d51a5987ee24029f4f8f695edd3cedf"}