{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RVFEOETOVRPA7SCKK6KP2XOPRG","short_pith_number":"pith:RVFEOETO","canonical_record":{"source":{"id":"1708.03043","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-10T01:37:21Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"a72b92716fbabc757b2fd8ad4568341d31d595f0419fb9cd1c34a86c52c1214b","abstract_canon_sha256":"6e2203a3c4e7fafd0e19c4909e86181e7399dd53071c998539073fd76ec506b0"},"schema_version":"1.0"},"canonical_sha256":"8d4a47126eac5e0fc84a5794fd5dcf89bc7c351e088dbd45ffa31775643f1e7d","source":{"kind":"arxiv","id":"1708.03043","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03043","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03043v2","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03043","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"pith_short_12","alias_value":"RVFEOETOVRPA","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RVFEOETOVRPA7SCK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RVFEOETO","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RVFEOETOVRPA7SCKK6KP2XOPRG","target":"record","payload":{"canonical_record":{"source":{"id":"1708.03043","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-10T01:37:21Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"a72b92716fbabc757b2fd8ad4568341d31d595f0419fb9cd1c34a86c52c1214b","abstract_canon_sha256":"6e2203a3c4e7fafd0e19c4909e86181e7399dd53071c998539073fd76ec506b0"},"schema_version":"1.0"},"canonical_sha256":"8d4a47126eac5e0fc84a5794fd5dcf89bc7c351e088dbd45ffa31775643f1e7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:11.543424Z","signature_b64":"xE0Ov8ZDMENBlzF5MuM9eLb4no0CjNieWmPF48rzi5vvOkftRy4t7nkIL1qWpBrp0ITeGcKweVANw7YjcJkjCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d4a47126eac5e0fc84a5794fd5dcf89bc7c351e088dbd45ffa31775643f1e7d","last_reissued_at":"2026-05-18T00:25:11.542847Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:11.542847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.03043","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:25:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"62C0OSCKjty7DfDA+tzzfqeRAVX07dljmHuTOwJoDP0D/SWQvrhH1T1cyMhB3H9gZZUzWRZGbAbFgN7U8IrnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:18:45.807698Z"},"content_sha256":"e6db8d9b053bf9a895c275ba06324d55b6359e522d7646f3a59e87f599a01e2d","schema_version":"1.0","event_id":"sha256:e6db8d9b053bf9a895c275ba06324d55b6359e522d7646f3a59e87f599a01e2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RVFEOETOVRPA7SCKK6KP2XOPRG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Atomic decompositions of mixed norm Bergman spaces on tube type domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.FA","authors_text":"Jens Gerlach Christensen","submitted_at":"2017-08-10T01:37:21Z","abstract_excerpt":"We use the author's previous work on atomic decompositions of Besov spaces with spectrum on symmetric cones, to derive new atomic decompositions for Bergman spaces on tube type domains. It is related to work by Ricci and Taibleson who derived decompositions for classical Besov spaces from atomic decompositions of Bergman spaces on the upper half plane. Moreover, for this class of domains our method is an alternative to classical results by Coifman and Rochberg, and it works for a larger range of Bergman spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03043","kind":"arxiv","version":2},"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":"2026-05-18T00:25:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HCks3dsPSauZeBw1FRhLCi/iGNgWNYpu/dGP78I3OkFUinlXz5ihjg50S0yevbEuSB2aE6MinB+YMdqv5RseBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:18:45.808059Z"},"content_sha256":"33207be37a93731d2c5aa60ca5af5b36fb19366069b1d4be9dabd8a73d00ed82","schema_version":"1.0","event_id":"sha256:33207be37a93731d2c5aa60ca5af5b36fb19366069b1d4be9dabd8a73d00ed82"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RVFEOETOVRPA7SCKK6KP2XOPRG/bundle.json","state_url":"https://pith.science/pith/RVFEOETOVRPA7SCKK6KP2XOPRG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RVFEOETOVRPA7SCKK6KP2XOPRG/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":"2026-06-01T06:18:45Z","links":{"resolver":"https://pith.science/pith/RVFEOETOVRPA7SCKK6KP2XOPRG","bundle":"https://pith.science/pith/RVFEOETOVRPA7SCKK6KP2XOPRG/bundle.json","state":"https://pith.science/pith/RVFEOETOVRPA7SCKK6KP2XOPRG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RVFEOETOVRPA7SCKK6KP2XOPRG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RVFEOETOVRPA7SCKK6KP2XOPRG","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":"6e2203a3c4e7fafd0e19c4909e86181e7399dd53071c998539073fd76ec506b0","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-10T01:37:21Z","title_canon_sha256":"a72b92716fbabc757b2fd8ad4568341d31d595f0419fb9cd1c34a86c52c1214b"},"schema_version":"1.0","source":{"id":"1708.03043","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03043","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03043v2","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03043","created_at":"2026-05-18T00:25:11Z"},{"alias_kind":"pith_short_12","alias_value":"RVFEOETOVRPA","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"RVFEOETOVRPA7SCK","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"RVFEOETO","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:33207be37a93731d2c5aa60ca5af5b36fb19366069b1d4be9dabd8a73d00ed82","target":"graph","created_at":"2026-05-18T00:25:11Z","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 use the author's previous work on atomic decompositions of Besov spaces with spectrum on symmetric cones, to derive new atomic decompositions for Bergman spaces on tube type domains. It is related to work by Ricci and Taibleson who derived decompositions for classical Besov spaces from atomic decompositions of Bergman spaces on the upper half plane. Moreover, for this class of domains our method is an alternative to classical results by Coifman and Rochberg, and it works for a larger range of Bergman spaces.","authors_text":"Jens Gerlach Christensen","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-10T01:37:21Z","title":"Atomic decompositions of mixed norm Bergman spaces on tube type domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03043","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:e6db8d9b053bf9a895c275ba06324d55b6359e522d7646f3a59e87f599a01e2d","target":"record","created_at":"2026-05-18T00:25:11Z","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":"6e2203a3c4e7fafd0e19c4909e86181e7399dd53071c998539073fd76ec506b0","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-08-10T01:37:21Z","title_canon_sha256":"a72b92716fbabc757b2fd8ad4568341d31d595f0419fb9cd1c34a86c52c1214b"},"schema_version":"1.0","source":{"id":"1708.03043","kind":"arxiv","version":2}},"canonical_sha256":"8d4a47126eac5e0fc84a5794fd5dcf89bc7c351e088dbd45ffa31775643f1e7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d4a47126eac5e0fc84a5794fd5dcf89bc7c351e088dbd45ffa31775643f1e7d","first_computed_at":"2026-05-18T00:25:11.542847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:11.542847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xE0Ov8ZDMENBlzF5MuM9eLb4no0CjNieWmPF48rzi5vvOkftRy4t7nkIL1qWpBrp0ITeGcKweVANw7YjcJkjCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:11.543424Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03043","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6db8d9b053bf9a895c275ba06324d55b6359e522d7646f3a59e87f599a01e2d","sha256:33207be37a93731d2c5aa60ca5af5b36fb19366069b1d4be9dabd8a73d00ed82"],"state_sha256":"614ccba162c68dba690a31c18340ea4aaa7a19adbcaf56b8ccaa84a8f54b5404"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NzfpAf0zUDUYMvuCwB6K9mWtDj5fDH3bwMZZ/fF0uTA+9CP0fNSYIPSFaCbS+gBKny7KbjOI59GXFqs6m+DoBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T06:18:45.810128Z","bundle_sha256":"38a5bdadaf2da4743985f81274ec13cc7db818a8630fa9eb0e2df4d4755e83ec"}}