{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZLMDN6CJSYVGXCEURFVIIAP6BP","short_pith_number":"pith:ZLMDN6CJ","canonical_record":{"source":{"id":"1311.4585","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T23:04:37Z","cross_cats_sorted":[],"title_canon_sha256":"3334aa2ed677f44b91f588786da30c2317f48476b3e9cd2fd3b0a1b46823aaa0","abstract_canon_sha256":"bf564b4523e114ee77645098b24d48fcf0755a849f2a3c88026aae8c2451dce8"},"schema_version":"1.0"},"canonical_sha256":"cad836f849962a6b8894896a8401fe0bcd8dbe3dba06ecf567eb480bc76a9cb9","source":{"kind":"arxiv","id":"1311.4585","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4585","created_at":"2026-05-18T02:41:42Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4585v4","created_at":"2026-05-18T02:41:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4585","created_at":"2026-05-18T02:41:42Z"},{"alias_kind":"pith_short_12","alias_value":"ZLMDN6CJSYVG","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZLMDN6CJSYVGXCEU","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZLMDN6CJ","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZLMDN6CJSYVGXCEURFVIIAP6BP","target":"record","payload":{"canonical_record":{"source":{"id":"1311.4585","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T23:04:37Z","cross_cats_sorted":[],"title_canon_sha256":"3334aa2ed677f44b91f588786da30c2317f48476b3e9cd2fd3b0a1b46823aaa0","abstract_canon_sha256":"bf564b4523e114ee77645098b24d48fcf0755a849f2a3c88026aae8c2451dce8"},"schema_version":"1.0"},"canonical_sha256":"cad836f849962a6b8894896a8401fe0bcd8dbe3dba06ecf567eb480bc76a9cb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:42.033901Z","signature_b64":"nQ0JdfswwQjjg9UV8aHdzXg+8CaG9OzoedzVSyD/1SOImGgAVKoszJj9jQ/Ww5HcnkUGrbsWOxhS+vOEQdfVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cad836f849962a6b8894896a8401fe0bcd8dbe3dba06ecf567eb480bc76a9cb9","last_reissued_at":"2026-05-18T02:41:42.033250Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:42.033250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.4585","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:41:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ke6KJTo1CmC2Fgip0uxEsiNLynmNO9EvzH2F/XKmtGqLwCKZYFQHbzoYDL+dr7URNO4yOOpRpsAf3WlraKeaCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:19:38.507928Z"},"content_sha256":"d2ea6f27480a7660e3c8e9ee4c0d65301f78c1583fa61af97b544edca9f6d0fb","schema_version":"1.0","event_id":"sha256:d2ea6f27480a7660e3c8e9ee4c0d65301f78c1583fa61af97b544edca9f6d0fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZLMDN6CJSYVGXCEURFVIIAP6BP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Refinements of the One Dimensional Free Poincare Inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christian Houdre, Ionel Popescu","submitted_at":"2013-11-18T23:04:37Z","abstract_excerpt":"We present two extensions of the one dimensional free Poincar\\'e inequality similar in spirit to two classical refinements."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4585","kind":"arxiv","version":4},"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":"2026-05-18T02:41:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iq00Of1U/+uR79Hckpznrdj18piVoHzsR3kYxqzWZm3IBMUn6KaLioJY16XdnM/Il1YQ2N9FpI0hcJwtR1VTAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:19:38.508580Z"},"content_sha256":"669737318bf2e47de1ba2b7cc0837b5d110672ecff35923b9ef98471cbe6dad8","schema_version":"1.0","event_id":"sha256:669737318bf2e47de1ba2b7cc0837b5d110672ecff35923b9ef98471cbe6dad8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZLMDN6CJSYVGXCEURFVIIAP6BP/bundle.json","state_url":"https://pith.science/pith/ZLMDN6CJSYVGXCEURFVIIAP6BP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZLMDN6CJSYVGXCEURFVIIAP6BP/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":"2026-06-01T10:19:38Z","links":{"resolver":"https://pith.science/pith/ZLMDN6CJSYVGXCEURFVIIAP6BP","bundle":"https://pith.science/pith/ZLMDN6CJSYVGXCEURFVIIAP6BP/bundle.json","state":"https://pith.science/pith/ZLMDN6CJSYVGXCEURFVIIAP6BP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZLMDN6CJSYVGXCEURFVIIAP6BP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZLMDN6CJSYVGXCEURFVIIAP6BP","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":"bf564b4523e114ee77645098b24d48fcf0755a849f2a3c88026aae8c2451dce8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T23:04:37Z","title_canon_sha256":"3334aa2ed677f44b91f588786da30c2317f48476b3e9cd2fd3b0a1b46823aaa0"},"schema_version":"1.0","source":{"id":"1311.4585","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.4585","created_at":"2026-05-18T02:41:42Z"},{"alias_kind":"arxiv_version","alias_value":"1311.4585v4","created_at":"2026-05-18T02:41:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.4585","created_at":"2026-05-18T02:41:42Z"},{"alias_kind":"pith_short_12","alias_value":"ZLMDN6CJSYVG","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZLMDN6CJSYVGXCEU","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZLMDN6CJ","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:669737318bf2e47de1ba2b7cc0837b5d110672ecff35923b9ef98471cbe6dad8","target":"graph","created_at":"2026-05-18T02:41:42Z","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 present two extensions of the one dimensional free Poincar\\'e inequality similar in spirit to two classical refinements.","authors_text":"Christian Houdre, Ionel Popescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T23:04:37Z","title":"Refinements of the One Dimensional Free Poincare Inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.4585","kind":"arxiv","version":4},"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:d2ea6f27480a7660e3c8e9ee4c0d65301f78c1583fa61af97b544edca9f6d0fb","target":"record","created_at":"2026-05-18T02:41:42Z","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":"bf564b4523e114ee77645098b24d48fcf0755a849f2a3c88026aae8c2451dce8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-18T23:04:37Z","title_canon_sha256":"3334aa2ed677f44b91f588786da30c2317f48476b3e9cd2fd3b0a1b46823aaa0"},"schema_version":"1.0","source":{"id":"1311.4585","kind":"arxiv","version":4}},"canonical_sha256":"cad836f849962a6b8894896a8401fe0bcd8dbe3dba06ecf567eb480bc76a9cb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cad836f849962a6b8894896a8401fe0bcd8dbe3dba06ecf567eb480bc76a9cb9","first_computed_at":"2026-05-18T02:41:42.033250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:42.033250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nQ0JdfswwQjjg9UV8aHdzXg+8CaG9OzoedzVSyD/1SOImGgAVKoszJj9jQ/Ww5HcnkUGrbsWOxhS+vOEQdfVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:42.033901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.4585","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2ea6f27480a7660e3c8e9ee4c0d65301f78c1583fa61af97b544edca9f6d0fb","sha256:669737318bf2e47de1ba2b7cc0837b5d110672ecff35923b9ef98471cbe6dad8"],"state_sha256":"e028afa084e058ecf82d6a3f5aa4f6b0243b2783ffda7db203374c4605a20cc9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gs/xZTelSX1ZH+S7yL9Wk/fZzlvcN2H21awwx3ogYn1yxhMfMu25A46HEX5okupBlJz5lS6keYd9Za8vwlg0BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T10:19:38.511606Z","bundle_sha256":"51374b5b3ab37d6ee1f06babbf3050aae6bd2431473e22cd55f7c3dcbe838eb6"}}