{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TEFFGQTPQGQ7N56YN65ZG7AEJV","short_pith_number":"pith:TEFFGQTP","canonical_record":{"source":{"id":"1608.05986","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-08-21T19:13:59Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"fd584161665938a2d3eb0730fe059308de5a0639448163b93774ddd3e0249a89","abstract_canon_sha256":"af3566e2023e25865aaf00e408bb45c3963063f6c7069e252ab6352a93b81df1"},"schema_version":"1.0"},"canonical_sha256":"990a53426f81a1f6f7d86fbb937c044d68a52537ea5954f2a80dc624ce802e57","source":{"kind":"arxiv","id":"1608.05986","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.05986","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"arxiv_version","alias_value":"1608.05986v1","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05986","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"pith_short_12","alias_value":"TEFFGQTPQGQ7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TEFFGQTPQGQ7N56Y","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TEFFGQTP","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TEFFGQTPQGQ7N56YN65ZG7AEJV","target":"record","payload":{"canonical_record":{"source":{"id":"1608.05986","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-08-21T19:13:59Z","cross_cats_sorted":["math.OA"],"title_canon_sha256":"fd584161665938a2d3eb0730fe059308de5a0639448163b93774ddd3e0249a89","abstract_canon_sha256":"af3566e2023e25865aaf00e408bb45c3963063f6c7069e252ab6352a93b81df1"},"schema_version":"1.0"},"canonical_sha256":"990a53426f81a1f6f7d86fbb937c044d68a52537ea5954f2a80dc624ce802e57","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:34.141019Z","signature_b64":"/o2megALRLFRmXrg3wxar4dxLE7bNihzd1y5epouuGGC8Cdme6Jia3ogS8WdJ/WBjNNFuBRO/bPTE3yWLazaCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"990a53426f81a1f6f7d86fbb937c044d68a52537ea5954f2a80dc624ce802e57","last_reissued_at":"2026-05-17T23:53:34.140355Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:34.140355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.05986","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":"2026-05-17T23:53:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xlZNYs6Hwg4uFoKU1t6o1M0x2W7kdAMpLTEatgpbq1QwxWImUNubFioOMw7+HISAoOnfzxuospB7Xw3PedRrBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T23:41:07.914422Z"},"content_sha256":"3ee2c9e47bcafb84cb6aae5f14a36425e502453754059ae3d5520eaf04c3019f","schema_version":"1.0","event_id":"sha256:3ee2c9e47bcafb84cb6aae5f14a36425e502453754059ae3d5520eaf04c3019f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TEFFGQTPQGQ7N56YN65ZG7AEJV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"More on the Arens regularity of B(X)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OA"],"primary_cat":"math.FA","authors_text":"Hamid Reza Ebrahimi Vishki, Ramin Faal","submitted_at":"2016-08-21T19:13:59Z","abstract_excerpt":"We focus on a question raised by Daws [Arens regularity of the algebra of operators on a Banach space, Bull. Lond. Math. Soc. 36 (2004), 493-503] concerning the Arens regularity of B(X), the algebra of operators on a Banach space X. Among other things, we show that B(X) is Arens regular if and only if X is ultrareflexive ."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05986","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":"2026-05-17T23:53:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YycG1ckwQVhmio9WdCoObkHmlgwmGl6Hao9wFp18NuVy4GANuek/idM2ezAv2paT9MvbPliQyaexc1eIPmlIAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T23:41:07.914770Z"},"content_sha256":"e57ed581730014cbb6c646d66cf817e74be42ecdd5ccab4f966dafaee8118da6","schema_version":"1.0","event_id":"sha256:e57ed581730014cbb6c646d66cf817e74be42ecdd5ccab4f966dafaee8118da6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TEFFGQTPQGQ7N56YN65ZG7AEJV/bundle.json","state_url":"https://pith.science/pith/TEFFGQTPQGQ7N56YN65ZG7AEJV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TEFFGQTPQGQ7N56YN65ZG7AEJV/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":"2026-06-22T23:41:07Z","links":{"resolver":"https://pith.science/pith/TEFFGQTPQGQ7N56YN65ZG7AEJV","bundle":"https://pith.science/pith/TEFFGQTPQGQ7N56YN65ZG7AEJV/bundle.json","state":"https://pith.science/pith/TEFFGQTPQGQ7N56YN65ZG7AEJV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TEFFGQTPQGQ7N56YN65ZG7AEJV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TEFFGQTPQGQ7N56YN65ZG7AEJV","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":"af3566e2023e25865aaf00e408bb45c3963063f6c7069e252ab6352a93b81df1","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-08-21T19:13:59Z","title_canon_sha256":"fd584161665938a2d3eb0730fe059308de5a0639448163b93774ddd3e0249a89"},"schema_version":"1.0","source":{"id":"1608.05986","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.05986","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"arxiv_version","alias_value":"1608.05986v1","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05986","created_at":"2026-05-17T23:53:34Z"},{"alias_kind":"pith_short_12","alias_value":"TEFFGQTPQGQ7","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"TEFFGQTPQGQ7N56Y","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"TEFFGQTP","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:e57ed581730014cbb6c646d66cf817e74be42ecdd5ccab4f966dafaee8118da6","target":"graph","created_at":"2026-05-17T23:53:34Z","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 focus on a question raised by Daws [Arens regularity of the algebra of operators on a Banach space, Bull. Lond. Math. Soc. 36 (2004), 493-503] concerning the Arens regularity of B(X), the algebra of operators on a Banach space X. Among other things, we show that B(X) is Arens regular if and only if X is ultrareflexive .","authors_text":"Hamid Reza Ebrahimi Vishki, Ramin Faal","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-08-21T19:13:59Z","title":"More on the Arens regularity of B(X)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05986","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":"sha256:3ee2c9e47bcafb84cb6aae5f14a36425e502453754059ae3d5520eaf04c3019f","target":"record","created_at":"2026-05-17T23:53:34Z","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":"af3566e2023e25865aaf00e408bb45c3963063f6c7069e252ab6352a93b81df1","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-08-21T19:13:59Z","title_canon_sha256":"fd584161665938a2d3eb0730fe059308de5a0639448163b93774ddd3e0249a89"},"schema_version":"1.0","source":{"id":"1608.05986","kind":"arxiv","version":1}},"canonical_sha256":"990a53426f81a1f6f7d86fbb937c044d68a52537ea5954f2a80dc624ce802e57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"990a53426f81a1f6f7d86fbb937c044d68a52537ea5954f2a80dc624ce802e57","first_computed_at":"2026-05-17T23:53:34.140355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:34.140355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/o2megALRLFRmXrg3wxar4dxLE7bNihzd1y5epouuGGC8Cdme6Jia3ogS8WdJ/WBjNNFuBRO/bPTE3yWLazaCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:34.141019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.05986","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ee2c9e47bcafb84cb6aae5f14a36425e502453754059ae3d5520eaf04c3019f","sha256:e57ed581730014cbb6c646d66cf817e74be42ecdd5ccab4f966dafaee8118da6"],"state_sha256":"5b785e235218c7d12358c0d48487898d87f8a9a927d6eac56c315e176ee3bb3e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dx8tqGCpW9q5/82+nSgcIxv/uPJZEahW+QvImIF+zKgqWqQ3ozb7VJl23CZJ0UajpdtA3jNMV1bzpOLoDcseCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T23:41:07.916700Z","bundle_sha256":"f8548c5622756b09c659a345f6a06917c0ca9b601acbb3b671548ff379e46571"}}