{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:JT6E2UV6PR43P2ROFMMPCXFA5Q","short_pith_number":"pith:JT6E2UV6","canonical_record":{"source":{"id":"2605.23292","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2026-05-22T07:05:41Z","cross_cats_sorted":[],"title_canon_sha256":"4ae766f1ee7d6890eb4756a5ab55af22bfa9eb66684aaa73d653c5b3465cedab","abstract_canon_sha256":"0fb32eba8f401e74ac0520e8e54dcb4a5c4891bde189316c2b1bcee9b9c3da1e"},"schema_version":"1.0"},"canonical_sha256":"4cfc4d52be7c79b7ea2e2b18f15ca0ec1a66cad762e22c6557c895e86cdaeef6","source":{"kind":"arxiv","id":"2605.23292","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23292","created_at":"2026-05-25T02:01:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23292v1","created_at":"2026-05-25T02:01:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23292","created_at":"2026-05-25T02:01:47Z"},{"alias_kind":"pith_short_12","alias_value":"JT6E2UV6PR43","created_at":"2026-05-25T02:01:47Z"},{"alias_kind":"pith_short_16","alias_value":"JT6E2UV6PR43P2RO","created_at":"2026-05-25T02:01:47Z"},{"alias_kind":"pith_short_8","alias_value":"JT6E2UV6","created_at":"2026-05-25T02:01:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:JT6E2UV6PR43P2ROFMMPCXFA5Q","target":"record","payload":{"canonical_record":{"source":{"id":"2605.23292","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2026-05-22T07:05:41Z","cross_cats_sorted":[],"title_canon_sha256":"4ae766f1ee7d6890eb4756a5ab55af22bfa9eb66684aaa73d653c5b3465cedab","abstract_canon_sha256":"0fb32eba8f401e74ac0520e8e54dcb4a5c4891bde189316c2b1bcee9b9c3da1e"},"schema_version":"1.0"},"canonical_sha256":"4cfc4d52be7c79b7ea2e2b18f15ca0ec1a66cad762e22c6557c895e86cdaeef6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:47.519955Z","signature_b64":"LQXIJuRb2Qc7ihsrmkHC+KKIYWcYBRdD8i890rL9mx4S5peLtq2K+wM9B+9BXqLr5GggwrGGY95cXikvCgSDDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cfc4d52be7c79b7ea2e2b18f15ca0ec1a66cad762e22c6557c895e86cdaeef6","last_reissued_at":"2026-05-25T02:01:47.519216Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:47.519216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.23292","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":"2026-05-25T02:01:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hb7rTmiFwnitQtW5BAmYw3fR+9Rd20Tgn7TDPHnLKIWBP6cAIwSjLcX/xxrmAt3HobDsc7ejrqkCehYM8fdLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:14:03.498582Z"},"content_sha256":"a06200a59ec85dd1990bf75e32268787e0b8b83248887706659354b61b0c8fc9","schema_version":"1.0","event_id":"sha256:a06200a59ec85dd1990bf75e32268787e0b8b83248887706659354b61b0c8fc9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:JT6E2UV6PR43P2ROFMMPCXFA5Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Second-order Poincar\\'e inequalities and localization on the Poisson space","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"J. E. Yukich, Tara Trauthwein","submitted_at":"2026-05-22T07:05:41Z","abstract_excerpt":"Given a mean zero functional $F$ of a Poisson measure on a metric space, we apply the Malliavin-Stein method to establish sharpened second-order Poincar\\'e inequalities for $F/\\sqrt{\\operatorname{Var} (F)}$ in terms of fourth moments of difference operators. The rates of normal approximation are expressed in the Kolmogorov and Wasserstein distances and require fewer error terms than corresponding previous results. When $F$ is expressible as a sum of score functions which are distributionally close to scores having short-range structure, then we deduce that $F/\\sqrt{\\operatorname{Var}(F)}$ sati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23292","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.23292/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-25T02:01:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yayzu1lRlpMvGXlnIm6TKEbiW+Ua7D02kXrvEcOEeg67B4DaLaiAMM/SJjBTdGeocVKxdpffSXMvonzaJqSHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T12:14:03.498956Z"},"content_sha256":"2484208e8bb210f43bcb623acc5d9285f1fe0f91a96e171cddc388d0b1a918b6","schema_version":"1.0","event_id":"sha256:2484208e8bb210f43bcb623acc5d9285f1fe0f91a96e171cddc388d0b1a918b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JT6E2UV6PR43P2ROFMMPCXFA5Q/bundle.json","state_url":"https://pith.science/pith/JT6E2UV6PR43P2ROFMMPCXFA5Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JT6E2UV6PR43P2ROFMMPCXFA5Q/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":"2026-06-08T12:14:03Z","links":{"resolver":"https://pith.science/pith/JT6E2UV6PR43P2ROFMMPCXFA5Q","bundle":"https://pith.science/pith/JT6E2UV6PR43P2ROFMMPCXFA5Q/bundle.json","state":"https://pith.science/pith/JT6E2UV6PR43P2ROFMMPCXFA5Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JT6E2UV6PR43P2ROFMMPCXFA5Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JT6E2UV6PR43P2ROFMMPCXFA5Q","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":"0fb32eba8f401e74ac0520e8e54dcb4a5c4891bde189316c2b1bcee9b9c3da1e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2026-05-22T07:05:41Z","title_canon_sha256":"4ae766f1ee7d6890eb4756a5ab55af22bfa9eb66684aaa73d653c5b3465cedab"},"schema_version":"1.0","source":{"id":"2605.23292","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23292","created_at":"2026-05-25T02:01:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23292v1","created_at":"2026-05-25T02:01:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23292","created_at":"2026-05-25T02:01:47Z"},{"alias_kind":"pith_short_12","alias_value":"JT6E2UV6PR43","created_at":"2026-05-25T02:01:47Z"},{"alias_kind":"pith_short_16","alias_value":"JT6E2UV6PR43P2RO","created_at":"2026-05-25T02:01:47Z"},{"alias_kind":"pith_short_8","alias_value":"JT6E2UV6","created_at":"2026-05-25T02:01:47Z"}],"graph_snapshots":[{"event_id":"sha256:2484208e8bb210f43bcb623acc5d9285f1fe0f91a96e171cddc388d0b1a918b6","target":"graph","created_at":"2026-05-25T02:01:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.23292/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given a mean zero functional $F$ of a Poisson measure on a metric space, we apply the Malliavin-Stein method to establish sharpened second-order Poincar\\'e inequalities for $F/\\sqrt{\\operatorname{Var} (F)}$ in terms of fourth moments of difference operators. The rates of normal approximation are expressed in the Kolmogorov and Wasserstein distances and require fewer error terms than corresponding previous results. When $F$ is expressible as a sum of score functions which are distributionally close to scores having short-range structure, then we deduce that $F/\\sqrt{\\operatorname{Var}(F)}$ sati","authors_text":"J. E. Yukich, Tara Trauthwein","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2026-05-22T07:05:41Z","title":"Second-order Poincar\\'e inequalities and localization on the Poisson space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23292","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:a06200a59ec85dd1990bf75e32268787e0b8b83248887706659354b61b0c8fc9","target":"record","created_at":"2026-05-25T02:01:47Z","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":"0fb32eba8f401e74ac0520e8e54dcb4a5c4891bde189316c2b1bcee9b9c3da1e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2026-05-22T07:05:41Z","title_canon_sha256":"4ae766f1ee7d6890eb4756a5ab55af22bfa9eb66684aaa73d653c5b3465cedab"},"schema_version":"1.0","source":{"id":"2605.23292","kind":"arxiv","version":1}},"canonical_sha256":"4cfc4d52be7c79b7ea2e2b18f15ca0ec1a66cad762e22c6557c895e86cdaeef6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cfc4d52be7c79b7ea2e2b18f15ca0ec1a66cad762e22c6557c895e86cdaeef6","first_computed_at":"2026-05-25T02:01:47.519216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:47.519216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LQXIJuRb2Qc7ihsrmkHC+KKIYWcYBRdD8i890rL9mx4S5peLtq2K+wM9B+9BXqLr5GggwrGGY95cXikvCgSDDA==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:47.519955Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23292","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a06200a59ec85dd1990bf75e32268787e0b8b83248887706659354b61b0c8fc9","sha256:2484208e8bb210f43bcb623acc5d9285f1fe0f91a96e171cddc388d0b1a918b6"],"state_sha256":"8b13915ebda750a2e954510d6e840f1c85557fd9eedc30a880390c35f18a045b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Usqqxroxps92lPyLg1qIRkAZox+OYY5fAs42s9AgNb66X7VboYdKiFWR36/BHuuG/Q6JXtce80ag09Hk3US+Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T12:14:03.500987Z","bundle_sha256":"42bd02ed283876206c00474f9392a95bfd75d48c28a2c69fd796eca94b396b6f"}}