{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BFEDAY4JBYCMXSNQAULV6TVMYJ","short_pith_number":"pith:BFEDAY4J","canonical_record":{"source":{"id":"1710.02449","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-06T15:33:54Z","cross_cats_sorted":[],"title_canon_sha256":"3f540832ea3d98682366447b2b3cec30b38a66e12e114acc1f3f488896bae5d0","abstract_canon_sha256":"b3638ef3c9232cb8e67c22b19139912038a451438f95c0eedb9827173d3166b8"},"schema_version":"1.0"},"canonical_sha256":"09483063890e04cbc9b005175f4eacc246cd8d1939cc1f8febf3cc66692323c5","source":{"kind":"arxiv","id":"1710.02449","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02449","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02449v1","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02449","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"pith_short_12","alias_value":"BFEDAY4JBYCM","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BFEDAY4JBYCMXSNQ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BFEDAY4J","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BFEDAY4JBYCMXSNQAULV6TVMYJ","target":"record","payload":{"canonical_record":{"source":{"id":"1710.02449","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-06T15:33:54Z","cross_cats_sorted":[],"title_canon_sha256":"3f540832ea3d98682366447b2b3cec30b38a66e12e114acc1f3f488896bae5d0","abstract_canon_sha256":"b3638ef3c9232cb8e67c22b19139912038a451438f95c0eedb9827173d3166b8"},"schema_version":"1.0"},"canonical_sha256":"09483063890e04cbc9b005175f4eacc246cd8d1939cc1f8febf3cc66692323c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:33.382657Z","signature_b64":"2EaZeTHEgBU9et1qNOVEckP11DbV8938iJ0YBQ4wtDJLVu0AMjNFJUl+V3rWqlCwzu855z/r0EIKhWvXZUpGBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09483063890e04cbc9b005175f4eacc246cd8d1939cc1f8febf3cc66692323c5","last_reissued_at":"2026-05-18T00:33:33.382065Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:33.382065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.02449","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":"2026-05-18T00:33:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"20H63cWZe8r7/WIjVcdLhxd04JeFaAJTlGx1C7Gr+ojyGzRPQGHzhdUGHappHhupr7Cpy3lKvtB60yfKT0IaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:55:11.189515Z"},"content_sha256":"1ae76f8f8d6bf8118eede0762468763fc08354da6b817f7034618b524b33f1b1","schema_version":"1.0","event_id":"sha256:1ae76f8f8d6bf8118eede0762468763fc08354da6b817f7034618b524b33f1b1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BFEDAY4JBYCMXSNQAULV6TVMYJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$L^p$ estimates for the Bergman projection on some Reinhardt domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Zhenghui Huo","submitted_at":"2017-10-06T15:33:54Z","abstract_excerpt":"We obtain $L^p$ regularity for the Bergman projection on some Reinhardt domains. We start with a bounded initial domain $\\Omega$ with some symmetry properties and generate successor domains in higher {dimensions}. We prove: If the Bergman kernel on $\\Omega$ satisfies appropriate estimates, then the Bergman projection on the successor is $L^p$ bounded. For example, the Bergman projection on successors of strictly pseudoconvex initial domains is bounded on $L^p$ for $1<p<\\infty$. The successor domains need not have smooth boundary nor be strictly pseudoconvex."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02449","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":"2026-05-18T00:33:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uwlnTOGkUfNbS2qVwK0GjtjKnPYrkag9reUgPrTa4YzgazsCP9Scr6DkGAg97HatmD9KaJbYKrIrjav90C/iCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:55:11.190129Z"},"content_sha256":"b69ceaa67dbf183ad835e91153517dd40203a01d3a6b234941f6e21e77973f50","schema_version":"1.0","event_id":"sha256:b69ceaa67dbf183ad835e91153517dd40203a01d3a6b234941f6e21e77973f50"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BFEDAY4JBYCMXSNQAULV6TVMYJ/bundle.json","state_url":"https://pith.science/pith/BFEDAY4JBYCMXSNQAULV6TVMYJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BFEDAY4JBYCMXSNQAULV6TVMYJ/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":"2026-06-06T16:55:11Z","links":{"resolver":"https://pith.science/pith/BFEDAY4JBYCMXSNQAULV6TVMYJ","bundle":"https://pith.science/pith/BFEDAY4JBYCMXSNQAULV6TVMYJ/bundle.json","state":"https://pith.science/pith/BFEDAY4JBYCMXSNQAULV6TVMYJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BFEDAY4JBYCMXSNQAULV6TVMYJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BFEDAY4JBYCMXSNQAULV6TVMYJ","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":"b3638ef3c9232cb8e67c22b19139912038a451438f95c0eedb9827173d3166b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-06T15:33:54Z","title_canon_sha256":"3f540832ea3d98682366447b2b3cec30b38a66e12e114acc1f3f488896bae5d0"},"schema_version":"1.0","source":{"id":"1710.02449","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.02449","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"arxiv_version","alias_value":"1710.02449v1","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.02449","created_at":"2026-05-18T00:33:33Z"},{"alias_kind":"pith_short_12","alias_value":"BFEDAY4JBYCM","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BFEDAY4JBYCMXSNQ","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BFEDAY4J","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:b69ceaa67dbf183ad835e91153517dd40203a01d3a6b234941f6e21e77973f50","target":"graph","created_at":"2026-05-18T00:33:33Z","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 obtain $L^p$ regularity for the Bergman projection on some Reinhardt domains. We start with a bounded initial domain $\\Omega$ with some symmetry properties and generate successor domains in higher {dimensions}. We prove: If the Bergman kernel on $\\Omega$ satisfies appropriate estimates, then the Bergman projection on the successor is $L^p$ bounded. For example, the Bergman projection on successors of strictly pseudoconvex initial domains is bounded on $L^p$ for $1<p<\\infty$. The successor domains need not have smooth boundary nor be strictly pseudoconvex.","authors_text":"Zhenghui Huo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-06T15:33:54Z","title":"$L^p$ estimates for the Bergman projection on some Reinhardt domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.02449","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":"sha256:1ae76f8f8d6bf8118eede0762468763fc08354da6b817f7034618b524b33f1b1","target":"record","created_at":"2026-05-18T00:33:33Z","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":"b3638ef3c9232cb8e67c22b19139912038a451438f95c0eedb9827173d3166b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-10-06T15:33:54Z","title_canon_sha256":"3f540832ea3d98682366447b2b3cec30b38a66e12e114acc1f3f488896bae5d0"},"schema_version":"1.0","source":{"id":"1710.02449","kind":"arxiv","version":1}},"canonical_sha256":"09483063890e04cbc9b005175f4eacc246cd8d1939cc1f8febf3cc66692323c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09483063890e04cbc9b005175f4eacc246cd8d1939cc1f8febf3cc66692323c5","first_computed_at":"2026-05-18T00:33:33.382065Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:33.382065Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2EaZeTHEgBU9et1qNOVEckP11DbV8938iJ0YBQ4wtDJLVu0AMjNFJUl+V3rWqlCwzu855z/r0EIKhWvXZUpGBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:33.382657Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.02449","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ae76f8f8d6bf8118eede0762468763fc08354da6b817f7034618b524b33f1b1","sha256:b69ceaa67dbf183ad835e91153517dd40203a01d3a6b234941f6e21e77973f50"],"state_sha256":"4e45099faa5efb71058207257590301c15fb1734222e47ebb6e313f17c3dead0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E1gg+wWMS49yzi3TvwnKTwZmjCQdJOrrj0lp9WGCFZJ6uOAz1Ggij74yTaxeUKkEs8GLIQCYmtQLU9so+cA1Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:55:11.193210Z","bundle_sha256":"dcaa661aafe2ae44a74a2398d97ceb9e74bbc1fe3bf4a1d413a6fe437d7ad1f2"}}