{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BVGEXQCRUROC2MMNKSGZB3X3UO","short_pith_number":"pith:BVGEXQCR","canonical_record":{"source":{"id":"1701.09036","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-01-31T13:50:03Z","cross_cats_sorted":[],"title_canon_sha256":"bf932107ba9150ad1cdb3883cf8080ec82be2d7accbd89b2ec31f5afd915c6a7","abstract_canon_sha256":"f082f1c0bdc3a5c01952a3ecd2fe4f95ce958a6e369051c859be36e60e4cf029"},"schema_version":"1.0"},"canonical_sha256":"0d4c4bc051a45c2d318d548d90eefba39411984e54ed899f6f187fc5b9ffc607","source":{"kind":"arxiv","id":"1701.09036","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.09036","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"arxiv_version","alias_value":"1701.09036v1","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.09036","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"pith_short_12","alias_value":"BVGEXQCRUROC","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BVGEXQCRUROC2MMN","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BVGEXQCR","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BVGEXQCRUROC2MMNKSGZB3X3UO","target":"record","payload":{"canonical_record":{"source":{"id":"1701.09036","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-01-31T13:50:03Z","cross_cats_sorted":[],"title_canon_sha256":"bf932107ba9150ad1cdb3883cf8080ec82be2d7accbd89b2ec31f5afd915c6a7","abstract_canon_sha256":"f082f1c0bdc3a5c01952a3ecd2fe4f95ce958a6e369051c859be36e60e4cf029"},"schema_version":"1.0"},"canonical_sha256":"0d4c4bc051a45c2d318d548d90eefba39411984e54ed899f6f187fc5b9ffc607","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:38.612948Z","signature_b64":"nyyrYjYe+nHtw+glDo231sGWG/KUrxRKHFWGiePgJOoBEW+Iy8MJRLvsrsofZQqMpPGWpCuepNRkr+LEWKe+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d4c4bc051a45c2d318d548d90eefba39411984e54ed899f6f187fc5b9ffc607","last_reissued_at":"2026-05-18T00:51:38.612372Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:38.612372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.09036","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":"2026-05-18T00:51:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DAugRivqgfNl+9YWOwyJmy6oMZYZ39L7iFjRFCMQhqBjbLd7e0MXn6CsZvJ7XkLYb0XhIAENyMkNLnpkQOtDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T12:32:28.768107Z"},"content_sha256":"d3e78890e984b453cc1a0b5bae279970abe8f574a0e43949f5b33a737353c8ce","schema_version":"1.0","event_id":"sha256:d3e78890e984b453cc1a0b5bae279970abe8f574a0e43949f5b33a737353c8ce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BVGEXQCRUROC2MMNKSGZB3X3UO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On some recent applications of stochastic convex ordering theorems to some functional inequalities for convex functions - a survey","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Teresa Rajba","submitted_at":"2017-01-31T13:50:03Z","abstract_excerpt":"This is a survey paper concerning some theorems on stochastic convex ordering and their applications to functional inequalities for convex functions. We present the recent results on those subjects"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.09036","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":"2026-05-18T00:51:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"miW7Jec7o/7W/ab9T0mhWLbzr0kryu/u5u9gBQZ2GyXeouKZEbBMSYqTWP+8uyUQwCHwRHgAOJ0GNz9SkXfBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T12:32:28.768472Z"},"content_sha256":"ab47a17dcd07145ca455e57904686cb9e6d7f507a5a0e0d82cef61b707b3f0e0","schema_version":"1.0","event_id":"sha256:ab47a17dcd07145ca455e57904686cb9e6d7f507a5a0e0d82cef61b707b3f0e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BVGEXQCRUROC2MMNKSGZB3X3UO/bundle.json","state_url":"https://pith.science/pith/BVGEXQCRUROC2MMNKSGZB3X3UO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BVGEXQCRUROC2MMNKSGZB3X3UO/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":"2026-06-21T12:32:28Z","links":{"resolver":"https://pith.science/pith/BVGEXQCRUROC2MMNKSGZB3X3UO","bundle":"https://pith.science/pith/BVGEXQCRUROC2MMNKSGZB3X3UO/bundle.json","state":"https://pith.science/pith/BVGEXQCRUROC2MMNKSGZB3X3UO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BVGEXQCRUROC2MMNKSGZB3X3UO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BVGEXQCRUROC2MMNKSGZB3X3UO","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":"f082f1c0bdc3a5c01952a3ecd2fe4f95ce958a6e369051c859be36e60e4cf029","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-01-31T13:50:03Z","title_canon_sha256":"bf932107ba9150ad1cdb3883cf8080ec82be2d7accbd89b2ec31f5afd915c6a7"},"schema_version":"1.0","source":{"id":"1701.09036","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.09036","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"arxiv_version","alias_value":"1701.09036v1","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.09036","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"pith_short_12","alias_value":"BVGEXQCRUROC","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BVGEXQCRUROC2MMN","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BVGEXQCR","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:ab47a17dcd07145ca455e57904686cb9e6d7f507a5a0e0d82cef61b707b3f0e0","target":"graph","created_at":"2026-05-18T00:51:38Z","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":"This is a survey paper concerning some theorems on stochastic convex ordering and their applications to functional inequalities for convex functions. We present the recent results on those subjects","authors_text":"Teresa Rajba","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-01-31T13:50:03Z","title":"On some recent applications of stochastic convex ordering theorems to some functional inequalities for convex functions - a survey"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.09036","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:d3e78890e984b453cc1a0b5bae279970abe8f574a0e43949f5b33a737353c8ce","target":"record","created_at":"2026-05-18T00:51:38Z","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":"f082f1c0bdc3a5c01952a3ecd2fe4f95ce958a6e369051c859be36e60e4cf029","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-01-31T13:50:03Z","title_canon_sha256":"bf932107ba9150ad1cdb3883cf8080ec82be2d7accbd89b2ec31f5afd915c6a7"},"schema_version":"1.0","source":{"id":"1701.09036","kind":"arxiv","version":1}},"canonical_sha256":"0d4c4bc051a45c2d318d548d90eefba39411984e54ed899f6f187fc5b9ffc607","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0d4c4bc051a45c2d318d548d90eefba39411984e54ed899f6f187fc5b9ffc607","first_computed_at":"2026-05-18T00:51:38.612372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:38.612372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nyyrYjYe+nHtw+glDo231sGWG/KUrxRKHFWGiePgJOoBEW+Iy8MJRLvsrsofZQqMpPGWpCuepNRkr+LEWKe+BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:38.612948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.09036","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3e78890e984b453cc1a0b5bae279970abe8f574a0e43949f5b33a737353c8ce","sha256:ab47a17dcd07145ca455e57904686cb9e6d7f507a5a0e0d82cef61b707b3f0e0"],"state_sha256":"63a7040e0bb17f770726a6bdd5ddccd6208af4aa1ad21835362b9078997e78b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sH1mtqkFxThdrMxW2sq9Z1wZ7gyOXa8rZSEDDxuFNr3awa3IRzOGxOE/ZVEvR0hWIIrDzcMxFzAXaFd74cgPDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T12:32:28.770424Z","bundle_sha256":"16dbebd0dae7e5fa69b6e3c4fde9d80b2ea8256b547af451f02fb9c49f0cf6a7"}}