{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KFNXU7ZRZNA7INORJJISAOK63N","short_pith_number":"pith:KFNXU7ZR","canonical_record":{"source":{"id":"1711.06755","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-17T22:41:57Z","cross_cats_sorted":[],"title_canon_sha256":"82ee892237232614a81ecc81c28fab9bfe4fbed5dbf8ab4c76c14e7920184942","abstract_canon_sha256":"3dc32a5cbd478b959f55a1e48731f76c22e1ce8a82c578b7e907fdd3b230c629"},"schema_version":"1.0"},"canonical_sha256":"515b7a7f31cb41f435d14a5120395edb5f19e033f24041d3c4e9ef567f4ea322","source":{"kind":"arxiv","id":"1711.06755","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.06755","created_at":"2026-05-18T00:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1711.06755v1","created_at":"2026-05-18T00:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06755","created_at":"2026-05-18T00:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"KFNXU7ZRZNA7","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KFNXU7ZRZNA7INOR","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KFNXU7ZR","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KFNXU7ZRZNA7INORJJISAOK63N","target":"record","payload":{"canonical_record":{"source":{"id":"1711.06755","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-17T22:41:57Z","cross_cats_sorted":[],"title_canon_sha256":"82ee892237232614a81ecc81c28fab9bfe4fbed5dbf8ab4c76c14e7920184942","abstract_canon_sha256":"3dc32a5cbd478b959f55a1e48731f76c22e1ce8a82c578b7e907fdd3b230c629"},"schema_version":"1.0"},"canonical_sha256":"515b7a7f31cb41f435d14a5120395edb5f19e033f24041d3c4e9ef567f4ea322","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:15.726064Z","signature_b64":"3xhXxZiZxnWnWs95YScJa9E1AcBizdnlx4EpV9baDbhzThfmCpupq4RJeXLlYoiEtB1/d5Q0/3DSnlxP457UDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"515b7a7f31cb41f435d14a5120395edb5f19e033f24041d3c4e9ef567f4ea322","last_reissued_at":"2026-05-18T00:30:15.725413Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:15.725413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.06755","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":"2026-05-18T00:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hvwTabtbM5HIX4PkshDB/QL3BLimRCYtJiDOkciRAj4DWxBOe8C2Wi+5xcuqtn4e8eVfXHJNKCO0r/o56Ps3Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:16:12.821095Z"},"content_sha256":"6153518e2ea319d51b66b96ac7f271544088a34a4c188dbc545323304e58a31d","schema_version":"1.0","event_id":"sha256:6153518e2ea319d51b66b96ac7f271544088a34a4c188dbc545323304e58a31d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KFNXU7ZRZNA7INORJJISAOK63N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Twisted Orlicz algebras, I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ebrahim Samei, Serap \\\"Oztop","submitted_at":"2017-11-17T22:41:57Z","abstract_excerpt":"Let G be a locally compact group, let $\\Omega:G\\times G\\to \\mathbb{C}^*$ be a 2-cocycle, and let $\\Phi$ be a Young function. In this paper, we consider the Orlicz space $L^\\Phi(G)$ and investigate its algebraic property under the twisted convolution $\\circledast$ coming from $\\Omega$. We find sufficient conditions under which $(L^\\Phi(G),\\circledast)$ becomes a Banach algebra or a Banach $*$-algebra; we call it a {\\it twisted Orlicz algebra}. Furthermore, we study its harmonic analysis properties, such as symmetry, existence of functional calculus, regularity, and having Wiener property, mostl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06755","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":"2026-05-18T00:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OfMbw1SDRYqNe1yQ7DBscfM4FnT4FE3RM2puoOWXl9kw4ya1LqYt4t4VOCIXn4jq9Hf0jChvgNjpAprK74bjAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:16:12.821476Z"},"content_sha256":"ac138f1103f2a8793b7f23269ccf9327304a48ab597159f1dfcc4fa8891fdaed","schema_version":"1.0","event_id":"sha256:ac138f1103f2a8793b7f23269ccf9327304a48ab597159f1dfcc4fa8891fdaed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KFNXU7ZRZNA7INORJJISAOK63N/bundle.json","state_url":"https://pith.science/pith/KFNXU7ZRZNA7INORJJISAOK63N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KFNXU7ZRZNA7INORJJISAOK63N/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":"2026-06-22T12:16:12Z","links":{"resolver":"https://pith.science/pith/KFNXU7ZRZNA7INORJJISAOK63N","bundle":"https://pith.science/pith/KFNXU7ZRZNA7INORJJISAOK63N/bundle.json","state":"https://pith.science/pith/KFNXU7ZRZNA7INORJJISAOK63N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KFNXU7ZRZNA7INORJJISAOK63N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KFNXU7ZRZNA7INORJJISAOK63N","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":"3dc32a5cbd478b959f55a1e48731f76c22e1ce8a82c578b7e907fdd3b230c629","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-17T22:41:57Z","title_canon_sha256":"82ee892237232614a81ecc81c28fab9bfe4fbed5dbf8ab4c76c14e7920184942"},"schema_version":"1.0","source":{"id":"1711.06755","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.06755","created_at":"2026-05-18T00:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1711.06755v1","created_at":"2026-05-18T00:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06755","created_at":"2026-05-18T00:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"KFNXU7ZRZNA7","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KFNXU7ZRZNA7INOR","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KFNXU7ZR","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:ac138f1103f2a8793b7f23269ccf9327304a48ab597159f1dfcc4fa8891fdaed","target":"graph","created_at":"2026-05-18T00:30:15Z","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":"Let G be a locally compact group, let $\\Omega:G\\times G\\to \\mathbb{C}^*$ be a 2-cocycle, and let $\\Phi$ be a Young function. In this paper, we consider the Orlicz space $L^\\Phi(G)$ and investigate its algebraic property under the twisted convolution $\\circledast$ coming from $\\Omega$. We find sufficient conditions under which $(L^\\Phi(G),\\circledast)$ becomes a Banach algebra or a Banach $*$-algebra; we call it a {\\it twisted Orlicz algebra}. Furthermore, we study its harmonic analysis properties, such as symmetry, existence of functional calculus, regularity, and having Wiener property, mostl","authors_text":"Ebrahim Samei, Serap \\\"Oztop","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-17T22:41:57Z","title":"Twisted Orlicz algebras, I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06755","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":"sha256:6153518e2ea319d51b66b96ac7f271544088a34a4c188dbc545323304e58a31d","target":"record","created_at":"2026-05-18T00:30:15Z","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":"3dc32a5cbd478b959f55a1e48731f76c22e1ce8a82c578b7e907fdd3b230c629","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-17T22:41:57Z","title_canon_sha256":"82ee892237232614a81ecc81c28fab9bfe4fbed5dbf8ab4c76c14e7920184942"},"schema_version":"1.0","source":{"id":"1711.06755","kind":"arxiv","version":1}},"canonical_sha256":"515b7a7f31cb41f435d14a5120395edb5f19e033f24041d3c4e9ef567f4ea322","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"515b7a7f31cb41f435d14a5120395edb5f19e033f24041d3c4e9ef567f4ea322","first_computed_at":"2026-05-18T00:30:15.725413Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:15.725413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3xhXxZiZxnWnWs95YScJa9E1AcBizdnlx4EpV9baDbhzThfmCpupq4RJeXLlYoiEtB1/d5Q0/3DSnlxP457UDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:15.726064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.06755","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6153518e2ea319d51b66b96ac7f271544088a34a4c188dbc545323304e58a31d","sha256:ac138f1103f2a8793b7f23269ccf9327304a48ab597159f1dfcc4fa8891fdaed"],"state_sha256":"a4e2771c6957d8cdc332c03fbf46b106a2f65dcbde09e2f04b15b1b3769186e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DpWmpw8Q8c6OYqv5P3+L5yMMSuGgFqWb1nhjcEPOEsHaLJjs5fHQrDaJRj9hYr1jQ4Sf9w+qwjzjCw9Kq9psDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T12:16:12.823661Z","bundle_sha256":"6e387e340d6de072cd4c90c738d51e4cb84cb07815b34c97f05c95552f8668b1"}}