{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SYR5CWHITFMAY7PC6OQ3MHYMFY","short_pith_number":"pith:SYR5CWHI","canonical_record":{"source":{"id":"1602.03323","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-10T10:40:51Z","cross_cats_sorted":[],"title_canon_sha256":"434d3eefe1d7b8b5f909c95e0f716e4ace5da6114eeb3a0f5764e8b087f0237e","abstract_canon_sha256":"40aa761b9eba7cacb522b27401a71681148b07fded67882e3de92d43076eff36"},"schema_version":"1.0"},"canonical_sha256":"9623d158e899580c7de2f3a1b61f0c2e268241022d43d81c8bb2fb6daf1e06c1","source":{"kind":"arxiv","id":"1602.03323","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03323","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03323v1","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03323","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"pith_short_12","alias_value":"SYR5CWHITFMA","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SYR5CWHITFMAY7PC","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SYR5CWHI","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SYR5CWHITFMAY7PC6OQ3MHYMFY","target":"record","payload":{"canonical_record":{"source":{"id":"1602.03323","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-10T10:40:51Z","cross_cats_sorted":[],"title_canon_sha256":"434d3eefe1d7b8b5f909c95e0f716e4ace5da6114eeb3a0f5764e8b087f0237e","abstract_canon_sha256":"40aa761b9eba7cacb522b27401a71681148b07fded67882e3de92d43076eff36"},"schema_version":"1.0"},"canonical_sha256":"9623d158e899580c7de2f3a1b61f0c2e268241022d43d81c8bb2fb6daf1e06c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:59.551618Z","signature_b64":"Yaf5y6um9NgIozrh2MlgRwDZoZ+zzGSAZe4JK4rkMJF2tTBLpFHY8j+WABbw7gWf4dOf/fXZNx0+QKAFwVreDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9623d158e899580c7de2f3a1b61f0c2e268241022d43d81c8bb2fb6daf1e06c1","last_reissued_at":"2026-05-18T00:15:59.551034Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:59.551034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.03323","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":"2026-05-18T00:15:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"emHgnGbXyWqzIGQwit8iamTsLb96F/tpIPEdqBO25ODsDWn4EzgeLUCgGhUNCgwFhL8HZgy36+ZBaLliWZPfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:28:36.199295Z"},"content_sha256":"50115c533843a28869ecbba61bfeed8065eaa35bf4855e2d6760dbe0d15ff82c","schema_version":"1.0","event_id":"sha256:50115c533843a28869ecbba61bfeed8065eaa35bf4855e2d6760dbe0d15ff82c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SYR5CWHITFMAY7PC6OQ3MHYMFY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Boundary behaviour of Dirichlet series with applications to universal series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Myrto Manolaki, Stephen J. Gardiner","submitted_at":"2016-02-10T10:40:51Z","abstract_excerpt":"This paper establishes connections between the boundary behaviour of functions representable as absolutely convergent Dirichlet series in a half-plane and the convergence properties of partial sums of the Dirichlet series on the boundary. This yields insights into the boundary behaviour of Dirichlet series and Taylor series which have universal approximation properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03323","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":"2026-05-18T00:15:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UTOByB0yTHSd5S1v0JA4x4AEd9ZTBPju4Ks+PWj8nyeMCAP+uE2IB+4T6ypU3m8Y2wsZdbRn9in26oww2tqqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:28:36.199657Z"},"content_sha256":"b9f488198b1381c18241cc74414a30d84f3279295c874d24a3210f46ef16f3eb","schema_version":"1.0","event_id":"sha256:b9f488198b1381c18241cc74414a30d84f3279295c874d24a3210f46ef16f3eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SYR5CWHITFMAY7PC6OQ3MHYMFY/bundle.json","state_url":"https://pith.science/pith/SYR5CWHITFMAY7PC6OQ3MHYMFY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SYR5CWHITFMAY7PC6OQ3MHYMFY/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":"2026-06-01T14:28:36Z","links":{"resolver":"https://pith.science/pith/SYR5CWHITFMAY7PC6OQ3MHYMFY","bundle":"https://pith.science/pith/SYR5CWHITFMAY7PC6OQ3MHYMFY/bundle.json","state":"https://pith.science/pith/SYR5CWHITFMAY7PC6OQ3MHYMFY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SYR5CWHITFMAY7PC6OQ3MHYMFY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SYR5CWHITFMAY7PC6OQ3MHYMFY","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":"40aa761b9eba7cacb522b27401a71681148b07fded67882e3de92d43076eff36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-10T10:40:51Z","title_canon_sha256":"434d3eefe1d7b8b5f909c95e0f716e4ace5da6114eeb3a0f5764e8b087f0237e"},"schema_version":"1.0","source":{"id":"1602.03323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03323","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03323v1","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03323","created_at":"2026-05-18T00:15:59Z"},{"alias_kind":"pith_short_12","alias_value":"SYR5CWHITFMA","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SYR5CWHITFMAY7PC","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SYR5CWHI","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:b9f488198b1381c18241cc74414a30d84f3279295c874d24a3210f46ef16f3eb","target":"graph","created_at":"2026-05-18T00:15:59Z","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":"This paper establishes connections between the boundary behaviour of functions representable as absolutely convergent Dirichlet series in a half-plane and the convergence properties of partial sums of the Dirichlet series on the boundary. This yields insights into the boundary behaviour of Dirichlet series and Taylor series which have universal approximation properties.","authors_text":"Myrto Manolaki, Stephen J. Gardiner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-10T10:40:51Z","title":"Boundary behaviour of Dirichlet series with applications to universal series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03323","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":"sha256:50115c533843a28869ecbba61bfeed8065eaa35bf4855e2d6760dbe0d15ff82c","target":"record","created_at":"2026-05-18T00:15:59Z","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":"40aa761b9eba7cacb522b27401a71681148b07fded67882e3de92d43076eff36","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-02-10T10:40:51Z","title_canon_sha256":"434d3eefe1d7b8b5f909c95e0f716e4ace5da6114eeb3a0f5764e8b087f0237e"},"schema_version":"1.0","source":{"id":"1602.03323","kind":"arxiv","version":1}},"canonical_sha256":"9623d158e899580c7de2f3a1b61f0c2e268241022d43d81c8bb2fb6daf1e06c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9623d158e899580c7de2f3a1b61f0c2e268241022d43d81c8bb2fb6daf1e06c1","first_computed_at":"2026-05-18T00:15:59.551034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:59.551034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yaf5y6um9NgIozrh2MlgRwDZoZ+zzGSAZe4JK4rkMJF2tTBLpFHY8j+WABbw7gWf4dOf/fXZNx0+QKAFwVreDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:59.551618Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.03323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50115c533843a28869ecbba61bfeed8065eaa35bf4855e2d6760dbe0d15ff82c","sha256:b9f488198b1381c18241cc74414a30d84f3279295c874d24a3210f46ef16f3eb"],"state_sha256":"c07fa042c018935e7896610a48dfe5847fb7598f290338cd5b09b38ba5dc756b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fm6yKWzdaMpAGRCj3fSK4uEXrDvavihPw/D2BvR1vqYKrMuN0BMblC6OmK4XfBCiidFZGL/3m/TTQcPM3sOMAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T14:28:36.201701Z","bundle_sha256":"e582b69df6d2c8b505a7d6baef285360a98d14a130bc662747727a2ea4080900"}}