{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:Q32WA2TOGMTYRAROFMHRRMVU4O","short_pith_number":"pith:Q32WA2TO","canonical_record":{"source":{"id":"1909.13274","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-09-29T13:04:34Z","cross_cats_sorted":[],"title_canon_sha256":"1e7787d6839e8bce1dcf27bcd9d4e6a59b6d7ada76d2c1ee1e581b8f26ba69a9","abstract_canon_sha256":"90f136fde77b63c7f8a00e60f616ff4e3c91c28bf33e71f1f871905f5718ea9a"},"schema_version":"1.0"},"canonical_sha256":"86f5606a6e332788822e2b0f18b2b4e396a74818ff1efc6a04866ce2c58bfda6","source":{"kind":"arxiv","id":"1909.13274","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.13274","created_at":"2026-07-05T00:52:48Z"},{"alias_kind":"arxiv_version","alias_value":"1909.13274v2","created_at":"2026-07-05T00:52:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.13274","created_at":"2026-07-05T00:52:48Z"},{"alias_kind":"pith_short_12","alias_value":"Q32WA2TOGMTY","created_at":"2026-07-05T00:52:48Z"},{"alias_kind":"pith_short_16","alias_value":"Q32WA2TOGMTYRARO","created_at":"2026-07-05T00:52:48Z"},{"alias_kind":"pith_short_8","alias_value":"Q32WA2TO","created_at":"2026-07-05T00:52:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:Q32WA2TOGMTYRAROFMHRRMVU4O","target":"record","payload":{"canonical_record":{"source":{"id":"1909.13274","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-09-29T13:04:34Z","cross_cats_sorted":[],"title_canon_sha256":"1e7787d6839e8bce1dcf27bcd9d4e6a59b6d7ada76d2c1ee1e581b8f26ba69a9","abstract_canon_sha256":"90f136fde77b63c7f8a00e60f616ff4e3c91c28bf33e71f1f871905f5718ea9a"},"schema_version":"1.0"},"canonical_sha256":"86f5606a6e332788822e2b0f18b2b4e396a74818ff1efc6a04866ce2c58bfda6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:52:48.306794Z","signature_b64":"c29r9lkr/AGMpfaSLaN0MnNcLtZbcLdPTpErNlaBWbf5VUFJBLmmTGd5JtZLM3QLuR7IOGi2G3sUzTON0QbvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86f5606a6e332788822e2b0f18b2b4e396a74818ff1efc6a04866ce2c58bfda6","last_reissued_at":"2026-07-05T00:52:48.306404Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:52:48.306404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1909.13274","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:52:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MPUjPYIuImmZfP7D5b8EP3pSdvtFMjvFjtdKeCw6J9TtaEz36qZhXEod/h2wx7/WVNtrG2kF5QKqzNPe2kSCAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T04:35:21.852664Z"},"content_sha256":"b3e81293224ec25cc79e653ab1679cd424a3d37f302de85c8b78031201213a85","schema_version":"1.0","event_id":"sha256:b3e81293224ec25cc79e653ab1679cd424a3d37f302de85c8b78031201213a85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:Q32WA2TOGMTYRAROFMHRRMVU4O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic results for stabilizing functionals of point processes having fast decay of correlations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Marcel Fenzl","submitted_at":"2019-09-29T13:04:34Z","abstract_excerpt":"We establish precise bounds on cumulants for a rather general class of non-linear geometric functionals satisfying the stabilization property under a simple, stationary (marked) point process admitting fast decay of its correlation functions and thereby conclude a Berry-Esseen bound, a concentration inequality, a moderate deviation principle and a Marcinkiewicz-Zygmund-type strong law of large numbers. The result is applied to the germ-grain model as well as to random sequential absorption for ${\\alpha}$-determinantal point processes having fast decaying kernels and certain Gibbsian point proc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.13274","kind":"arxiv","version":2},"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/1909.13274/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":"2026-07-05T00:52:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5uyBqxa/xB7IKt9MeZUwrP9GdOZ8ny16MWdSavNCTif5dxPEe79e2x6D2hrzfp+oxEKdWGiJMF35Hzlf70jMBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T04:35:21.853031Z"},"content_sha256":"6eb11668375380655ee5e852da65ce568c5f53a7a5e700fcb43a24ac309317d8","schema_version":"1.0","event_id":"sha256:6eb11668375380655ee5e852da65ce568c5f53a7a5e700fcb43a24ac309317d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q32WA2TOGMTYRAROFMHRRMVU4O/bundle.json","state_url":"https://pith.science/pith/Q32WA2TOGMTYRAROFMHRRMVU4O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q32WA2TOGMTYRAROFMHRRMVU4O/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":"2026-07-05T04:35:21Z","links":{"resolver":"https://pith.science/pith/Q32WA2TOGMTYRAROFMHRRMVU4O","bundle":"https://pith.science/pith/Q32WA2TOGMTYRAROFMHRRMVU4O/bundle.json","state":"https://pith.science/pith/Q32WA2TOGMTYRAROFMHRRMVU4O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q32WA2TOGMTYRAROFMHRRMVU4O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Q32WA2TOGMTYRAROFMHRRMVU4O","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":"90f136fde77b63c7f8a00e60f616ff4e3c91c28bf33e71f1f871905f5718ea9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-09-29T13:04:34Z","title_canon_sha256":"1e7787d6839e8bce1dcf27bcd9d4e6a59b6d7ada76d2c1ee1e581b8f26ba69a9"},"schema_version":"1.0","source":{"id":"1909.13274","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.13274","created_at":"2026-07-05T00:52:48Z"},{"alias_kind":"arxiv_version","alias_value":"1909.13274v2","created_at":"2026-07-05T00:52:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.13274","created_at":"2026-07-05T00:52:48Z"},{"alias_kind":"pith_short_12","alias_value":"Q32WA2TOGMTY","created_at":"2026-07-05T00:52:48Z"},{"alias_kind":"pith_short_16","alias_value":"Q32WA2TOGMTYRARO","created_at":"2026-07-05T00:52:48Z"},{"alias_kind":"pith_short_8","alias_value":"Q32WA2TO","created_at":"2026-07-05T00:52:48Z"}],"graph_snapshots":[{"event_id":"sha256:6eb11668375380655ee5e852da65ce568c5f53a7a5e700fcb43a24ac309317d8","target":"graph","created_at":"2026-07-05T00:52:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1909.13274/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish precise bounds on cumulants for a rather general class of non-linear geometric functionals satisfying the stabilization property under a simple, stationary (marked) point process admitting fast decay of its correlation functions and thereby conclude a Berry-Esseen bound, a concentration inequality, a moderate deviation principle and a Marcinkiewicz-Zygmund-type strong law of large numbers. The result is applied to the germ-grain model as well as to random sequential absorption for ${\\alpha}$-determinantal point processes having fast decaying kernels and certain Gibbsian point proc","authors_text":"Marcel Fenzl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-09-29T13:04:34Z","title":"Asymptotic results for stabilizing functionals of point processes having fast decay of correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.13274","kind":"arxiv","version":2},"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:b3e81293224ec25cc79e653ab1679cd424a3d37f302de85c8b78031201213a85","target":"record","created_at":"2026-07-05T00:52:48Z","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":"90f136fde77b63c7f8a00e60f616ff4e3c91c28bf33e71f1f871905f5718ea9a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-09-29T13:04:34Z","title_canon_sha256":"1e7787d6839e8bce1dcf27bcd9d4e6a59b6d7ada76d2c1ee1e581b8f26ba69a9"},"schema_version":"1.0","source":{"id":"1909.13274","kind":"arxiv","version":2}},"canonical_sha256":"86f5606a6e332788822e2b0f18b2b4e396a74818ff1efc6a04866ce2c58bfda6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86f5606a6e332788822e2b0f18b2b4e396a74818ff1efc6a04866ce2c58bfda6","first_computed_at":"2026-07-05T00:52:48.306404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:52:48.306404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c29r9lkr/AGMpfaSLaN0MnNcLtZbcLdPTpErNlaBWbf5VUFJBLmmTGd5JtZLM3QLuR7IOGi2G3sUzTON0QbvCA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:52:48.306794Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.13274","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3e81293224ec25cc79e653ab1679cd424a3d37f302de85c8b78031201213a85","sha256:6eb11668375380655ee5e852da65ce568c5f53a7a5e700fcb43a24ac309317d8"],"state_sha256":"78a70e5a49cc155a43dd6afbbffcaf010f3e3a4405b2e7a379b16aa46a47fce7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1GhZFpwBPfiSL/9zVCjyHEQeTxYGZdpg/n75uGP11KaStv8ODFV8me26Cw0kPC44SF9XqNQN4ueMfLd6jWaSDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T04:35:21.854993Z","bundle_sha256":"03d8b2ce7f74fb570d8d5b82578e9aeb504f2230390cc1ffa965a835795a93fe"}}