{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:BDRDFSIRTO56NDSVO6Z6UCVRG5","short_pith_number":"pith:BDRDFSIR","canonical_record":{"source":{"id":"1807.00214","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-30T18:10:29Z","cross_cats_sorted":[],"title_canon_sha256":"cf8b4a1e1d6fb2c852cce33a69cd49ceab29a0b4d8765ee1db384bab73026ed8","abstract_canon_sha256":"681339d890f49a09349b3ec342fced9aab2890be2437023496cc0d1078b3771f"},"schema_version":"1.0"},"canonical_sha256":"08e232c9119bbbe68e5577b3ea0ab13766e17e6913cb6d164ef754cc5f8d43c9","source":{"kind":"arxiv","id":"1807.00214","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00214","created_at":"2026-05-18T00:11:55Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00214v1","created_at":"2026-05-18T00:11:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00214","created_at":"2026-05-18T00:11:55Z"},{"alias_kind":"pith_short_12","alias_value":"BDRDFSIRTO56","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"BDRDFSIRTO56NDSV","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"BDRDFSIR","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:BDRDFSIRTO56NDSVO6Z6UCVRG5","target":"record","payload":{"canonical_record":{"source":{"id":"1807.00214","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-30T18:10:29Z","cross_cats_sorted":[],"title_canon_sha256":"cf8b4a1e1d6fb2c852cce33a69cd49ceab29a0b4d8765ee1db384bab73026ed8","abstract_canon_sha256":"681339d890f49a09349b3ec342fced9aab2890be2437023496cc0d1078b3771f"},"schema_version":"1.0"},"canonical_sha256":"08e232c9119bbbe68e5577b3ea0ab13766e17e6913cb6d164ef754cc5f8d43c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:55.662387Z","signature_b64":"dtDhRJIYECoOT1piuwYwEjvXd2Ck6H3otbuGgn0Z+eSSoaRii74IApKdEelUhI/cvF+zvOH8LiMDyefpzdXxCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"08e232c9119bbbe68e5577b3ea0ab13766e17e6913cb6d164ef754cc5f8d43c9","last_reissued_at":"2026-05-18T00:11:55.661803Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:55.661803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.00214","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":"2026-05-18T00:11:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+EQTBBqgLF3Mg69bIo7n8CyLVLHrqkvH12eKOL5rsHdt7wCzX1AuGErrBVmGU3P8TvM3oBTdGsWqFScWI7L5DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:18:30.173140Z"},"content_sha256":"96cf903cbfa30f3ec2eaba27d865fe223d6e8f9911bf5146bae61473f7ed514c","schema_version":"1.0","event_id":"sha256:96cf903cbfa30f3ec2eaba27d865fe223d6e8f9911bf5146bae61473f7ed514c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:BDRDFSIRTO56NDSVO6Z6UCVRG5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized operator-scaling random ball model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Hermine Bierm\\'e, Olivier Durieu, Yizao Wang","submitted_at":"2018-06-30T18:10:29Z","abstract_excerpt":"This article introduces the operator-scaling random ball model, generalizing the isotropic random ball models investigated recently in the literature to anisotropic setup. The model is introduced as a generalized random field and results on weak convergence are established in the space of tempered distributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00214","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":"2026-05-18T00:11:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GbW8w/MxVipy3VwgVhMoqMCFgtlLyodFucKWYIAyyRBKZ7cT+t0dhbDx+cs4kipiIW520wCxSExXh5ZTynxJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:18:30.173807Z"},"content_sha256":"5c664d85faea8c8666dd5e1a483cdcc365aaec0666d4d3800458506827b2214b","schema_version":"1.0","event_id":"sha256:5c664d85faea8c8666dd5e1a483cdcc365aaec0666d4d3800458506827b2214b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BDRDFSIRTO56NDSVO6Z6UCVRG5/bundle.json","state_url":"https://pith.science/pith/BDRDFSIRTO56NDSVO6Z6UCVRG5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BDRDFSIRTO56NDSVO6Z6UCVRG5/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":"2026-05-31T10:18:30Z","links":{"resolver":"https://pith.science/pith/BDRDFSIRTO56NDSVO6Z6UCVRG5","bundle":"https://pith.science/pith/BDRDFSIRTO56NDSVO6Z6UCVRG5/bundle.json","state":"https://pith.science/pith/BDRDFSIRTO56NDSVO6Z6UCVRG5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BDRDFSIRTO56NDSVO6Z6UCVRG5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BDRDFSIRTO56NDSVO6Z6UCVRG5","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":"681339d890f49a09349b3ec342fced9aab2890be2437023496cc0d1078b3771f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-30T18:10:29Z","title_canon_sha256":"cf8b4a1e1d6fb2c852cce33a69cd49ceab29a0b4d8765ee1db384bab73026ed8"},"schema_version":"1.0","source":{"id":"1807.00214","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00214","created_at":"2026-05-18T00:11:55Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00214v1","created_at":"2026-05-18T00:11:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00214","created_at":"2026-05-18T00:11:55Z"},{"alias_kind":"pith_short_12","alias_value":"BDRDFSIRTO56","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"BDRDFSIRTO56NDSV","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"BDRDFSIR","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:5c664d85faea8c8666dd5e1a483cdcc365aaec0666d4d3800458506827b2214b","target":"graph","created_at":"2026-05-18T00:11:55Z","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 article introduces the operator-scaling random ball model, generalizing the isotropic random ball models investigated recently in the literature to anisotropic setup. The model is introduced as a generalized random field and results on weak convergence are established in the space of tempered distributions.","authors_text":"Hermine Bierm\\'e, Olivier Durieu, Yizao Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-30T18:10:29Z","title":"Generalized operator-scaling random ball model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00214","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":"sha256:96cf903cbfa30f3ec2eaba27d865fe223d6e8f9911bf5146bae61473f7ed514c","target":"record","created_at":"2026-05-18T00:11:55Z","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":"681339d890f49a09349b3ec342fced9aab2890be2437023496cc0d1078b3771f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-06-30T18:10:29Z","title_canon_sha256":"cf8b4a1e1d6fb2c852cce33a69cd49ceab29a0b4d8765ee1db384bab73026ed8"},"schema_version":"1.0","source":{"id":"1807.00214","kind":"arxiv","version":1}},"canonical_sha256":"08e232c9119bbbe68e5577b3ea0ab13766e17e6913cb6d164ef754cc5f8d43c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08e232c9119bbbe68e5577b3ea0ab13766e17e6913cb6d164ef754cc5f8d43c9","first_computed_at":"2026-05-18T00:11:55.661803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:55.661803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dtDhRJIYECoOT1piuwYwEjvXd2Ck6H3otbuGgn0Z+eSSoaRii74IApKdEelUhI/cvF+zvOH8LiMDyefpzdXxCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:55.662387Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.00214","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:96cf903cbfa30f3ec2eaba27d865fe223d6e8f9911bf5146bae61473f7ed514c","sha256:5c664d85faea8c8666dd5e1a483cdcc365aaec0666d4d3800458506827b2214b"],"state_sha256":"cae89ab348019d00ebddcfa9b792c5e8cfa72ae353cd312df40c5c6f1a3126b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ewVRkfMqyLcL/xWwNXal7tY1b69q6xr7ugKcSWjzDLv/grXiPQbmVbTj7+AW5uJvzDjUOFt386+ZwhpU8cMtBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:18:30.177355Z","bundle_sha256":"7e2fab2ac800e1facfa6ce92db2b527de982bcba231ed002f4428a9499717857"}}