{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:PY7CI2NEUDYYWRDSHYCDPDAJH6","short_pith_number":"pith:PY7CI2NE","canonical_record":{"source":{"id":"1907.01333","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-07-02T12:55:51Z","cross_cats_sorted":[],"title_canon_sha256":"19f953ea2183c7bb2b2a6f34a9ef048b6e80ba6bcc06f0e752f45f4e6bb91d62","abstract_canon_sha256":"b90c19b2d1659f28e2579b53443134c85143234693036c71a23aab26e084f2f3"},"schema_version":"1.0"},"canonical_sha256":"7e3e2469a4a0f18b44723e04378c093fa74e71c74a88e678cab8db728fb5c977","source":{"kind":"arxiv","id":"1907.01333","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.01333","created_at":"2026-07-05T01:27:18Z"},{"alias_kind":"arxiv_version","alias_value":"1907.01333v2","created_at":"2026-07-05T01:27:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.01333","created_at":"2026-07-05T01:27:18Z"},{"alias_kind":"pith_short_12","alias_value":"PY7CI2NEUDYY","created_at":"2026-07-05T01:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PY7CI2NEUDYYWRDS","created_at":"2026-07-05T01:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PY7CI2NE","created_at":"2026-07-05T01:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:PY7CI2NEUDYYWRDSHYCDPDAJH6","target":"record","payload":{"canonical_record":{"source":{"id":"1907.01333","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-07-02T12:55:51Z","cross_cats_sorted":[],"title_canon_sha256":"19f953ea2183c7bb2b2a6f34a9ef048b6e80ba6bcc06f0e752f45f4e6bb91d62","abstract_canon_sha256":"b90c19b2d1659f28e2579b53443134c85143234693036c71a23aab26e084f2f3"},"schema_version":"1.0"},"canonical_sha256":"7e3e2469a4a0f18b44723e04378c093fa74e71c74a88e678cab8db728fb5c977","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:27:18.668820Z","signature_b64":"2GrB1WZxNsNBkbaGOnWMw8NuDREd657cOEsi7wFi9GCm4NFsGjsM8pmCXwIzli1RXbG+2Wgq7/Fp4VKk3APhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e3e2469a4a0f18b44723e04378c093fa74e71c74a88e678cab8db728fb5c977","last_reissued_at":"2026-07-05T01:27:18.668386Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:27:18.668386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.01333","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":"2026-07-05T01:27:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x3B0yi65OAhntCtjS/2MDihlVc1XYl826BoYBRTjuLrIu4Vq4pQmQBkuNHlyw9WXalsbiC9U+CkvDSNxIXbyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T23:10:01.442392Z"},"content_sha256":"5f51bb9063084c6324b371314cbfe4ad53fe23b5cdd086d62a74caa7be654f3a","schema_version":"1.0","event_id":"sha256:5f51bb9063084c6324b371314cbfe4ad53fe23b5cdd086d62a74caa7be654f3a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:PY7CI2NEUDYYWRDSHYCDPDAJH6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Global-local Shrinkage Priors for Count Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Kaoru Irie, Shonosuke Sugasawa, Yasuyuki Hamura","submitted_at":"2019-07-02T12:55:51Z","abstract_excerpt":"Global-local shrinkage prior has been recognized as useful class of priors which can strongly shrink small signals towards prior means while keeping large signals unshrunk. Although such priors have been extensively discussed under Gaussian responses, we intensively encounter count responses in practice in which the previous knowledge of global-local shrinkage priors cannot be directly imported. In this paper, we discuss global-local shrinkage priors for analyzing sequence of counts. We provide sufficient conditions under which the posterior mean keeps the observation as it is for very large s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.01333","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/1907.01333/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":"2026-07-05T01:27:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6tYHLXrFNAipzcHlBlvmOAGuBGFfU2uIM0Q3BXiEHBn/KuLUBFRWfSlDGhO0kxNT1vcJUyHD7N8yyx6AwlZSDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T23:10:01.442778Z"},"content_sha256":"77754a8e94f9136540338465692cdbbaccaba7cef26befd7bbc231ed8ea82d87","schema_version":"1.0","event_id":"sha256:77754a8e94f9136540338465692cdbbaccaba7cef26befd7bbc231ed8ea82d87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PY7CI2NEUDYYWRDSHYCDPDAJH6/bundle.json","state_url":"https://pith.science/pith/PY7CI2NEUDYYWRDSHYCDPDAJH6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PY7CI2NEUDYYWRDSHYCDPDAJH6/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":"2026-07-06T23:10:01Z","links":{"resolver":"https://pith.science/pith/PY7CI2NEUDYYWRDSHYCDPDAJH6","bundle":"https://pith.science/pith/PY7CI2NEUDYYWRDSHYCDPDAJH6/bundle.json","state":"https://pith.science/pith/PY7CI2NEUDYYWRDSHYCDPDAJH6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PY7CI2NEUDYYWRDSHYCDPDAJH6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PY7CI2NEUDYYWRDSHYCDPDAJH6","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":"b90c19b2d1659f28e2579b53443134c85143234693036c71a23aab26e084f2f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-07-02T12:55:51Z","title_canon_sha256":"19f953ea2183c7bb2b2a6f34a9ef048b6e80ba6bcc06f0e752f45f4e6bb91d62"},"schema_version":"1.0","source":{"id":"1907.01333","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.01333","created_at":"2026-07-05T01:27:18Z"},{"alias_kind":"arxiv_version","alias_value":"1907.01333v2","created_at":"2026-07-05T01:27:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.01333","created_at":"2026-07-05T01:27:18Z"},{"alias_kind":"pith_short_12","alias_value":"PY7CI2NEUDYY","created_at":"2026-07-05T01:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PY7CI2NEUDYYWRDS","created_at":"2026-07-05T01:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PY7CI2NE","created_at":"2026-07-05T01:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:77754a8e94f9136540338465692cdbbaccaba7cef26befd7bbc231ed8ea82d87","target":"graph","created_at":"2026-07-05T01:27:18Z","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/1907.01333/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Global-local shrinkage prior has been recognized as useful class of priors which can strongly shrink small signals towards prior means while keeping large signals unshrunk. Although such priors have been extensively discussed under Gaussian responses, we intensively encounter count responses in practice in which the previous knowledge of global-local shrinkage priors cannot be directly imported. In this paper, we discuss global-local shrinkage priors for analyzing sequence of counts. We provide sufficient conditions under which the posterior mean keeps the observation as it is for very large s","authors_text":"Kaoru Irie, Shonosuke Sugasawa, Yasuyuki Hamura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-07-02T12:55:51Z","title":"On Global-local Shrinkage Priors for Count Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.01333","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":"sha256:5f51bb9063084c6324b371314cbfe4ad53fe23b5cdd086d62a74caa7be654f3a","target":"record","created_at":"2026-07-05T01:27:18Z","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":"b90c19b2d1659f28e2579b53443134c85143234693036c71a23aab26e084f2f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2019-07-02T12:55:51Z","title_canon_sha256":"19f953ea2183c7bb2b2a6f34a9ef048b6e80ba6bcc06f0e752f45f4e6bb91d62"},"schema_version":"1.0","source":{"id":"1907.01333","kind":"arxiv","version":2}},"canonical_sha256":"7e3e2469a4a0f18b44723e04378c093fa74e71c74a88e678cab8db728fb5c977","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e3e2469a4a0f18b44723e04378c093fa74e71c74a88e678cab8db728fb5c977","first_computed_at":"2026-07-05T01:27:18.668386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:27:18.668386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2GrB1WZxNsNBkbaGOnWMw8NuDREd657cOEsi7wFi9GCm4NFsGjsM8pmCXwIzli1RXbG+2Wgq7/Fp4VKk3APhBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:27:18.668820Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.01333","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f51bb9063084c6324b371314cbfe4ad53fe23b5cdd086d62a74caa7be654f3a","sha256:77754a8e94f9136540338465692cdbbaccaba7cef26befd7bbc231ed8ea82d87"],"state_sha256":"b0f6250fe28600d81a80552947ad95b921b23495edaf4060dca8ecd6e9d35643"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4p/a8YkMTmCzaeTCCBP0SLfly98wnynxc6zi9vnuBfnaN1gi1Mv84ESV/UNVrvvX8gNEBTLl1Ei8rUKKkBbqCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T23:10:01.444768Z","bundle_sha256":"ea83316ebba32c059d3331e1e38d3169de5d24d95f5b8c5e00d58721703a0225"}}