{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:R6XJQ3PUV2RNR6OYATQ2FSLRED","short_pith_number":"pith:R6XJQ3PU","canonical_record":{"source":{"id":"1109.5275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-09-24T14:57:30Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"9e09f32f9407d89a6d7277c63551e730cdf87fee1859e14c59fa1f6f66971e85","abstract_canon_sha256":"a5badd931a481f4f073174d604f9191f519209f6512f102dbf9f523f98609883"},"schema_version":"1.0"},"canonical_sha256":"8fae986df4aea2d8f9d804e1a2c97120e9389b47a776dfae6e42e118e07eef64","source":{"kind":"arxiv","id":"1109.5275","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5275","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5275v1","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5275","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"pith_short_12","alias_value":"R6XJQ3PUV2RN","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"R6XJQ3PUV2RNR6OY","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"R6XJQ3PU","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:R6XJQ3PUV2RNR6OYATQ2FSLRED","target":"record","payload":{"canonical_record":{"source":{"id":"1109.5275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-09-24T14:57:30Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"9e09f32f9407d89a6d7277c63551e730cdf87fee1859e14c59fa1f6f66971e85","abstract_canon_sha256":"a5badd931a481f4f073174d604f9191f519209f6512f102dbf9f523f98609883"},"schema_version":"1.0"},"canonical_sha256":"8fae986df4aea2d8f9d804e1a2c97120e9389b47a776dfae6e42e118e07eef64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:20.173876Z","signature_b64":"P/PhHmAMbv+0DE2Bnw4xAeBx4CNB2ynwztTGgZyTjOQoFt5/ORhJ00Gv8u0XFGuSY1torPEGRN/MoacoTj2wBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8fae986df4aea2d8f9d804e1a2c97120e9389b47a776dfae6e42e118e07eef64","last_reissued_at":"2026-05-18T04:12:20.173156Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:20.173156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.5275","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":"2026-05-18T04:12:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t/V/b9aQu+TsYh+cNXZsRaxPRYKPvNur3M8OYrFIt7+G3B0BZ5oWRWxhXqY/4F4FL9PgR2vyNi+GojBPkIBDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T07:53:13.626126Z"},"content_sha256":"4860a564e0b1a636d04dd18913714a4b42ea1f0be7313b4397cac567fe69eabf","schema_version":"1.0","event_id":"sha256:4860a564e0b1a636d04dd18913714a4b42ea1f0be7313b4397cac567fe69eabf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:R6XJQ3PUV2RNR6OYATQ2FSLRED","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semigroups of Composition Operators on Hardy Spaces of the half-plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.FA","authors_text":"Athanasios G. Arvanitidis","submitted_at":"2011-09-24T14:57:30Z","abstract_excerpt":"We identify the semigroups consisting of bounded composition operators on the Hardy spaces $H^p(\\U)$ of the upper half-plane. We show that any such semigroup is strongly continuous on $H^p(\\U)$ but not uniformly continuous and we identify the infinitesimal generator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5275","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":"2026-05-18T04:12:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bysq+BkHc05rvUCBi85Sd6wmpOo3vipAS+LThE+CzrsXASyPsQGtxE/Mz+O3lOhLd+GayIoKp9dc4ByeqfQUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T07:53:13.626479Z"},"content_sha256":"da986288947e754e64dbc0e5ae4e376dfacc9a1cb4c58aece7ec123d45175d38","schema_version":"1.0","event_id":"sha256:da986288947e754e64dbc0e5ae4e376dfacc9a1cb4c58aece7ec123d45175d38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R6XJQ3PUV2RNR6OYATQ2FSLRED/bundle.json","state_url":"https://pith.science/pith/R6XJQ3PUV2RNR6OYATQ2FSLRED/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R6XJQ3PUV2RNR6OYATQ2FSLRED/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":"2026-06-02T07:53:13Z","links":{"resolver":"https://pith.science/pith/R6XJQ3PUV2RNR6OYATQ2FSLRED","bundle":"https://pith.science/pith/R6XJQ3PUV2RNR6OYATQ2FSLRED/bundle.json","state":"https://pith.science/pith/R6XJQ3PUV2RNR6OYATQ2FSLRED/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R6XJQ3PUV2RNR6OYATQ2FSLRED/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:R6XJQ3PUV2RNR6OYATQ2FSLRED","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":"a5badd931a481f4f073174d604f9191f519209f6512f102dbf9f523f98609883","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-09-24T14:57:30Z","title_canon_sha256":"9e09f32f9407d89a6d7277c63551e730cdf87fee1859e14c59fa1f6f66971e85"},"schema_version":"1.0","source":{"id":"1109.5275","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5275","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5275v1","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5275","created_at":"2026-05-18T04:12:20Z"},{"alias_kind":"pith_short_12","alias_value":"R6XJQ3PUV2RN","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"R6XJQ3PUV2RNR6OY","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"R6XJQ3PU","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:da986288947e754e64dbc0e5ae4e376dfacc9a1cb4c58aece7ec123d45175d38","target":"graph","created_at":"2026-05-18T04:12:20Z","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 identify the semigroups consisting of bounded composition operators on the Hardy spaces $H^p(\\U)$ of the upper half-plane. We show that any such semigroup is strongly continuous on $H^p(\\U)$ but not uniformly continuous and we identify the infinitesimal generator.","authors_text":"Athanasios G. Arvanitidis","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-09-24T14:57:30Z","title":"Semigroups of Composition Operators on Hardy Spaces of the half-plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5275","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":"sha256:4860a564e0b1a636d04dd18913714a4b42ea1f0be7313b4397cac567fe69eabf","target":"record","created_at":"2026-05-18T04:12:20Z","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":"a5badd931a481f4f073174d604f9191f519209f6512f102dbf9f523f98609883","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2011-09-24T14:57:30Z","title_canon_sha256":"9e09f32f9407d89a6d7277c63551e730cdf87fee1859e14c59fa1f6f66971e85"},"schema_version":"1.0","source":{"id":"1109.5275","kind":"arxiv","version":1}},"canonical_sha256":"8fae986df4aea2d8f9d804e1a2c97120e9389b47a776dfae6e42e118e07eef64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8fae986df4aea2d8f9d804e1a2c97120e9389b47a776dfae6e42e118e07eef64","first_computed_at":"2026-05-18T04:12:20.173156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:20.173156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P/PhHmAMbv+0DE2Bnw4xAeBx4CNB2ynwztTGgZyTjOQoFt5/ORhJ00Gv8u0XFGuSY1torPEGRN/MoacoTj2wBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:20.173876Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.5275","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4860a564e0b1a636d04dd18913714a4b42ea1f0be7313b4397cac567fe69eabf","sha256:da986288947e754e64dbc0e5ae4e376dfacc9a1cb4c58aece7ec123d45175d38"],"state_sha256":"a90650a376755c189406502c4362fe0d9dfd77cd1feb6c5baf1d158b7e2a8c8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"38T70HM3+Q5/g+Bi85RsSju/TbXqqM3Ja1/Li4tZSbV/3jXGh29ze54jngDkR+VSKh6s1xTJq6PvZzRewER/BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T07:53:13.628356Z","bundle_sha256":"09fa403f98df75d17930b1aa4baa6fc39287656ea6ee6808e3c45afcfb48bc74"}}