{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:MJXOIBLSWKUVAHWEB43G5YUETC","short_pith_number":"pith:MJXOIBLS","canonical_record":{"source":{"id":"1709.08095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-23T18:38:38Z","cross_cats_sorted":["math.CV","math.PR"],"title_canon_sha256":"cd0af9305972b459847d71ed0d1972c29899a4e4f81f49fb01f5a29728ef2d17","abstract_canon_sha256":"df9281bd5f0aac6ef13123d54a31270bc6f1c966e4e7cde072d84cb08898c5a2"},"schema_version":"1.0"},"canonical_sha256":"626ee40572b2a9501ec40f366ee28498adfdc7a2ec1e893b3739310fbc423678","source":{"kind":"arxiv","id":"1709.08095","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.08095","created_at":"2026-05-18T00:34:28Z"},{"alias_kind":"arxiv_version","alias_value":"1709.08095v1","created_at":"2026-05-18T00:34:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08095","created_at":"2026-05-18T00:34:28Z"},{"alias_kind":"pith_short_12","alias_value":"MJXOIBLSWKUV","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MJXOIBLSWKUVAHWE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MJXOIBLS","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:MJXOIBLSWKUVAHWEB43G5YUETC","target":"record","payload":{"canonical_record":{"source":{"id":"1709.08095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-23T18:38:38Z","cross_cats_sorted":["math.CV","math.PR"],"title_canon_sha256":"cd0af9305972b459847d71ed0d1972c29899a4e4f81f49fb01f5a29728ef2d17","abstract_canon_sha256":"df9281bd5f0aac6ef13123d54a31270bc6f1c966e4e7cde072d84cb08898c5a2"},"schema_version":"1.0"},"canonical_sha256":"626ee40572b2a9501ec40f366ee28498adfdc7a2ec1e893b3739310fbc423678","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:28.016303Z","signature_b64":"8seSdKnfr3vKtqxXaPukcf2Q/fGCjfPkWmt4a0Q/rwLuI0dmrq2C6N55RTIjVmLlwZF6/c8I1diaJUq6mtacAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"626ee40572b2a9501ec40f366ee28498adfdc7a2ec1e893b3739310fbc423678","last_reissued_at":"2026-05-18T00:34:28.015797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:28.015797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.08095","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":"2026-05-18T00:34:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SfSVP1kwYL7z1h5wQSb65EsVUGiRBsg3bCyh6IjibBdBxyzT3og5LU6F1pIkmM0cf+R2E9uNiS2ftwaA6Eb7Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:12:58.160668Z"},"content_sha256":"a1c1ffe4f7b824cf79ae8ad5d2480f5db43f70e420191a2a52aee295a1d0daa0","schema_version":"1.0","event_id":"sha256:a1c1ffe4f7b824cf79ae8ad5d2480f5db43f70e420191a2a52aee295a1d0daa0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:MJXOIBLSWKUVAHWEB43G5YUETC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.PR"],"primary_cat":"math.AP","authors_text":"Alexander Volberg, Paata Ivanisvili","submitted_at":"2017-09-23T18:38:38Z","abstract_excerpt":"We show how Beckner's montonicity result on Hamming cube easily implies the monotonicity of a flow introduced by Janson in Hausdorff--Young inequality"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08095","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":"2026-05-18T00:34:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cgn8laOZtgkVKo/5VhdocqMXam9rGF1h4m9San+UUADobV90CqxBmUuLpJFiuDHcbs6wQFKDH4aQQEeAmh0MBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:12:58.161350Z"},"content_sha256":"3eb02c7e1c913cb5b8f62880dda8a121f0fe37ac38c11c8e975f4f0b471bbe3f","schema_version":"1.0","event_id":"sha256:3eb02c7e1c913cb5b8f62880dda8a121f0fe37ac38c11c8e975f4f0b471bbe3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MJXOIBLSWKUVAHWEB43G5YUETC/bundle.json","state_url":"https://pith.science/pith/MJXOIBLSWKUVAHWEB43G5YUETC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MJXOIBLSWKUVAHWEB43G5YUETC/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":"2026-05-26T07:12:58Z","links":{"resolver":"https://pith.science/pith/MJXOIBLSWKUVAHWEB43G5YUETC","bundle":"https://pith.science/pith/MJXOIBLSWKUVAHWEB43G5YUETC/bundle.json","state":"https://pith.science/pith/MJXOIBLSWKUVAHWEB43G5YUETC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MJXOIBLSWKUVAHWEB43G5YUETC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:MJXOIBLSWKUVAHWEB43G5YUETC","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":"df9281bd5f0aac6ef13123d54a31270bc6f1c966e4e7cde072d84cb08898c5a2","cross_cats_sorted":["math.CV","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-23T18:38:38Z","title_canon_sha256":"cd0af9305972b459847d71ed0d1972c29899a4e4f81f49fb01f5a29728ef2d17"},"schema_version":"1.0","source":{"id":"1709.08095","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.08095","created_at":"2026-05-18T00:34:28Z"},{"alias_kind":"arxiv_version","alias_value":"1709.08095v1","created_at":"2026-05-18T00:34:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.08095","created_at":"2026-05-18T00:34:28Z"},{"alias_kind":"pith_short_12","alias_value":"MJXOIBLSWKUV","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"MJXOIBLSWKUVAHWE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"MJXOIBLS","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:3eb02c7e1c913cb5b8f62880dda8a121f0fe37ac38c11c8e975f4f0b471bbe3f","target":"graph","created_at":"2026-05-18T00:34:28Z","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 show how Beckner's montonicity result on Hamming cube easily implies the monotonicity of a flow introduced by Janson in Hausdorff--Young inequality","authors_text":"Alexander Volberg, Paata Ivanisvili","cross_cats":["math.CV","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-23T18:38:38Z","title":"From discrete flow of Beckner to continuous flow of Janson in complex hypercontractivity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.08095","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:a1c1ffe4f7b824cf79ae8ad5d2480f5db43f70e420191a2a52aee295a1d0daa0","target":"record","created_at":"2026-05-18T00:34:28Z","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":"df9281bd5f0aac6ef13123d54a31270bc6f1c966e4e7cde072d84cb08898c5a2","cross_cats_sorted":["math.CV","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-23T18:38:38Z","title_canon_sha256":"cd0af9305972b459847d71ed0d1972c29899a4e4f81f49fb01f5a29728ef2d17"},"schema_version":"1.0","source":{"id":"1709.08095","kind":"arxiv","version":1}},"canonical_sha256":"626ee40572b2a9501ec40f366ee28498adfdc7a2ec1e893b3739310fbc423678","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"626ee40572b2a9501ec40f366ee28498adfdc7a2ec1e893b3739310fbc423678","first_computed_at":"2026-05-18T00:34:28.015797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:28.015797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8seSdKnfr3vKtqxXaPukcf2Q/fGCjfPkWmt4a0Q/rwLuI0dmrq2C6N55RTIjVmLlwZF6/c8I1diaJUq6mtacAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:28.016303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.08095","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1c1ffe4f7b824cf79ae8ad5d2480f5db43f70e420191a2a52aee295a1d0daa0","sha256:3eb02c7e1c913cb5b8f62880dda8a121f0fe37ac38c11c8e975f4f0b471bbe3f"],"state_sha256":"5a431d40577085e2d204fb7252b27c09e5f7b598f4eb822694b4ac354a60dd0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HHeLMUoJN4ZSUsaO3bFUduih2XwzB02AQigC/lD+JnO4bM/Z7cHRdDaXO6wWR73qpr748ryyVtYqTBj+8trrBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:12:58.164819Z","bundle_sha256":"f8d29d1bdb22cf4a8d3185a21579ebfee6dd7cf15014bc5052014b1b64a42a23"}}