{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:2BBLHR75KNW6P32C2XFXQSSSR3","short_pith_number":"pith:2BBLHR75","canonical_record":{"source":{"id":"1405.0167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-05-01T14:24:58Z","cross_cats_sorted":[],"title_canon_sha256":"996b201b5cc76c52d68da232360e618bf20dac72cc31e7c8fc7cb045b43d54af","abstract_canon_sha256":"577451a3d54129466f32d96a62a164f7b2030678712f78090951ad22f3772732"},"schema_version":"1.0"},"canonical_sha256":"d042b3c7fd536de7ef42d5cb784a528eddec55d1e8b616c65d138b782b9afa6e","source":{"kind":"arxiv","id":"1405.0167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0167","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0167v1","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0167","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"pith_short_12","alias_value":"2BBLHR75KNW6","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2BBLHR75KNW6P32C","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2BBLHR75","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:2BBLHR75KNW6P32C2XFXQSSSR3","target":"record","payload":{"canonical_record":{"source":{"id":"1405.0167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-05-01T14:24:58Z","cross_cats_sorted":[],"title_canon_sha256":"996b201b5cc76c52d68da232360e618bf20dac72cc31e7c8fc7cb045b43d54af","abstract_canon_sha256":"577451a3d54129466f32d96a62a164f7b2030678712f78090951ad22f3772732"},"schema_version":"1.0"},"canonical_sha256":"d042b3c7fd536de7ef42d5cb784a528eddec55d1e8b616c65d138b782b9afa6e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:48.834637Z","signature_b64":"Rv93Bw91sB3Hai06N7P8v9dF/HzKGesIyRXc3v69FOEqNLRtTG2fFldWVhe3ZodweNMlWVYzNVT3YKcridFtBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d042b3c7fd536de7ef42d5cb784a528eddec55d1e8b616c65d138b782b9afa6e","last_reissued_at":"2026-05-18T02:52:48.834079Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:48.834079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.0167","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":"2026-05-18T02:52:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xwaq3ua+HJY+2hW4+dNlR9Cgw/6Qo78quWGFJcNNhXf3N4isN4BaRknZJyx6nS/C9Rt2xDX4bK8+zrBSurH4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T05:10:05.629780Z"},"content_sha256":"d56e8c4b912d8f41018ce97fe3e5b6b1f5e8f4878cf9c6ab27fa1cae91045c4b","schema_version":"1.0","event_id":"sha256:d56e8c4b912d8f41018ce97fe3e5b6b1f5e8f4878cf9c6ab27fa1cae91045c4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:2BBLHR75KNW6P32C2XFXQSSSR3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"A. Draux, A.I. Aptekarev, D.N. Tulyakov, V.A. Kalyagin","submitted_at":"2014-05-01T14:24:58Z","abstract_excerpt":"The classical A. Markov inequality establishes a relation between the maximum modulus or the $L^{\\infty}\\left([-1,1]\\right)$ norm of a polynomial $Q_{n}$ and of its derivative: $\\|Q'_{n}\\|\\leqslant M_{n} n^{2}\\|Q_{n}\\|$, where the constant $M_{n}=1$ is sharp. The limiting behavior of the sharp constants $M_{n}$ for this inequality, considered in the space $L^{2}\\left([-1,1], w^{(\\alpha,\\beta)}\\right)$ with respect to the classical Jacobi weight $w^{(\\alpha,\\beta)}(x):=(1-x)^{\\alpha}(x+1)^{\\beta}$, is studied. We prove that, under the condition $|\\alpha - \\beta| < 4 $, the limit is $\\lim_{n \\to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0167","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":"2026-05-18T02:52:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lon4IOLzr6trcxhamV3eyBvBLQPC1mh7DK9i7uZNwsNbZYhpnDJsqZw2bqtP4mVJvpEDRLGf9NFYSe9OckxqCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T05:10:05.630122Z"},"content_sha256":"52a351dc71ec740070e458098353ee464be3791a24771dd185302b76dde2c842","schema_version":"1.0","event_id":"sha256:52a351dc71ec740070e458098353ee464be3791a24771dd185302b76dde2c842"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3/bundle.json","state_url":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BBLHR75KNW6P32C2XFXQSSSR3/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":"2026-06-21T05:10:05Z","links":{"resolver":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3","bundle":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3/bundle.json","state":"https://pith.science/pith/2BBLHR75KNW6P32C2XFXQSSSR3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BBLHR75KNW6P32C2XFXQSSSR3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:2BBLHR75KNW6P32C2XFXQSSSR3","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":"577451a3d54129466f32d96a62a164f7b2030678712f78090951ad22f3772732","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-05-01T14:24:58Z","title_canon_sha256":"996b201b5cc76c52d68da232360e618bf20dac72cc31e7c8fc7cb045b43d54af"},"schema_version":"1.0","source":{"id":"1405.0167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0167","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0167v1","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0167","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"pith_short_12","alias_value":"2BBLHR75KNW6","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2BBLHR75KNW6P32C","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2BBLHR75","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:52a351dc71ec740070e458098353ee464be3791a24771dd185302b76dde2c842","target":"graph","created_at":"2026-05-18T02:52:48Z","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":"The classical A. Markov inequality establishes a relation between the maximum modulus or the $L^{\\infty}\\left([-1,1]\\right)$ norm of a polynomial $Q_{n}$ and of its derivative: $\\|Q'_{n}\\|\\leqslant M_{n} n^{2}\\|Q_{n}\\|$, where the constant $M_{n}=1$ is sharp. The limiting behavior of the sharp constants $M_{n}$ for this inequality, considered in the space $L^{2}\\left([-1,1], w^{(\\alpha,\\beta)}\\right)$ with respect to the classical Jacobi weight $w^{(\\alpha,\\beta)}(x):=(1-x)^{\\alpha}(x+1)^{\\beta}$, is studied. We prove that, under the condition $|\\alpha - \\beta| < 4 $, the limit is $\\lim_{n \\to","authors_text":"A. Draux, A.I. Aptekarev, D.N. Tulyakov, V.A. Kalyagin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-05-01T14:24:58Z","title":"Asymptotics of sharp constants of Markov-Bernstein inequalities in integral norm with Jacobi weight"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0167","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:d56e8c4b912d8f41018ce97fe3e5b6b1f5e8f4878cf9c6ab27fa1cae91045c4b","target":"record","created_at":"2026-05-18T02:52:48Z","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":"577451a3d54129466f32d96a62a164f7b2030678712f78090951ad22f3772732","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-05-01T14:24:58Z","title_canon_sha256":"996b201b5cc76c52d68da232360e618bf20dac72cc31e7c8fc7cb045b43d54af"},"schema_version":"1.0","source":{"id":"1405.0167","kind":"arxiv","version":1}},"canonical_sha256":"d042b3c7fd536de7ef42d5cb784a528eddec55d1e8b616c65d138b782b9afa6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d042b3c7fd536de7ef42d5cb784a528eddec55d1e8b616c65d138b782b9afa6e","first_computed_at":"2026-05-18T02:52:48.834079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:48.834079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rv93Bw91sB3Hai06N7P8v9dF/HzKGesIyRXc3v69FOEqNLRtTG2fFldWVhe3ZodweNMlWVYzNVT3YKcridFtBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:48.834637Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d56e8c4b912d8f41018ce97fe3e5b6b1f5e8f4878cf9c6ab27fa1cae91045c4b","sha256:52a351dc71ec740070e458098353ee464be3791a24771dd185302b76dde2c842"],"state_sha256":"1a4984fcee411c2c9feed4ce164d9b207fee91d00fc3364e0711b135297e3cdf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dDkRn3FLZflJMdtBub0KVJjpf3LZ4ENlMpd9ZvLX6OzQtlRha7IYGnFXoYkSntZber6Lg8YD3flSEu97O9JmDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T05:10:05.631970Z","bundle_sha256":"d061790b3218f8c7c2ccbcd31274c2e76de2cbf66762256bb701c18614fd941c"}}