{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HWAHXQR2YOJNTTG52XHO7XR3E5","short_pith_number":"pith:HWAHXQR2","canonical_record":{"source":{"id":"1701.07776","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-26T17:06:30Z","cross_cats_sorted":[],"title_canon_sha256":"b4be2d899576dd0ae04fef08e988377afb84b960ef24f81e30ce5a5e31fa443c","abstract_canon_sha256":"6b2850a8293df7ffc122770262c173dd1e1990257c6505bd15950cda537fc983"},"schema_version":"1.0"},"canonical_sha256":"3d807bc23ac392d9ccddd5ceefde3b277ad3b4f7c7c5f34b0d073345f144ec89","source":{"kind":"arxiv","id":"1701.07776","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07776","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07776v2","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07776","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"HWAHXQR2YOJN","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"HWAHXQR2YOJNTTG5","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"HWAHXQR2","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HWAHXQR2YOJNTTG52XHO7XR3E5","target":"record","payload":{"canonical_record":{"source":{"id":"1701.07776","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-26T17:06:30Z","cross_cats_sorted":[],"title_canon_sha256":"b4be2d899576dd0ae04fef08e988377afb84b960ef24f81e30ce5a5e31fa443c","abstract_canon_sha256":"6b2850a8293df7ffc122770262c173dd1e1990257c6505bd15950cda537fc983"},"schema_version":"1.0"},"canonical_sha256":"3d807bc23ac392d9ccddd5ceefde3b277ad3b4f7c7c5f34b0d073345f144ec89","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:10.044672Z","signature_b64":"Q3q6qq8i2suPiop/+PCptz1Jp5A1+FtkQf76GliXrO0sH+RxR5Yy0vbLA2Ja7K8Qikd2/7fhX1BDzQfx9QaACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d807bc23ac392d9ccddd5ceefde3b277ad3b4f7c7c5f34b0d073345f144ec89","last_reissued_at":"2026-05-18T00:34:10.043970Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:10.043970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.07776","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":"2026-05-18T00:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yxexAUSR0gcu03BCA3+vf6gCnXvmBIJ5jc2B4d5/Inh/7YKLC+tKIkymHeHqnsPM1WYraXVmsSGnAHdDSbldDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:26:15.018344Z"},"content_sha256":"08c3757cb956f711375ac8c8f737501b0483dc8bb50b342125f685b38ec82392","schema_version":"1.0","event_id":"sha256:08c3757cb956f711375ac8c8f737501b0483dc8bb50b342125f685b38ec82392"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HWAHXQR2YOJNTTG52XHO7XR3E5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dependent Mixtures of Geometric Weights Priors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Christos Merkatas, Spyridon J. Hatjispyros, Stephen G. Walker, Theodoros Nicoleris","submitted_at":"2017-01-26T17:06:30Z","abstract_excerpt":"A new approach on the joint estimation of partially exchangeable observations is presented by constructing pairwise dependence between $m$ random density functions, each of which is modeled as a mixture of geometric stick breaking processes. This approach is based on a new random central masses version of the Pairwise Dependent Dirichlet Process prior mixture model (PDDP) first introduced in Hatjispyros et al. (2011). The idea is to create pairwise dependence through random measures that are location-preserving-expectations of Dirichlet random measures. Our contention is that mixture modeling "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07776","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":""},"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":"2026-05-18T00:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EG5syk71oM6kupeBESyk3TuUIeAKeiYIZpwFVBRGtKHSK7Gu9CXIJV3vvf2GCBMESilY3l/VmIezr6MoDinzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T09:26:15.018695Z"},"content_sha256":"d96139f41ed66deeb8ba1819314553ce13b2ec6cb2e962d19dbca7eb371e087e","schema_version":"1.0","event_id":"sha256:d96139f41ed66deeb8ba1819314553ce13b2ec6cb2e962d19dbca7eb371e087e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HWAHXQR2YOJNTTG52XHO7XR3E5/bundle.json","state_url":"https://pith.science/pith/HWAHXQR2YOJNTTG52XHO7XR3E5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HWAHXQR2YOJNTTG52XHO7XR3E5/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":"2026-05-31T09:26:15Z","links":{"resolver":"https://pith.science/pith/HWAHXQR2YOJNTTG52XHO7XR3E5","bundle":"https://pith.science/pith/HWAHXQR2YOJNTTG52XHO7XR3E5/bundle.json","state":"https://pith.science/pith/HWAHXQR2YOJNTTG52XHO7XR3E5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HWAHXQR2YOJNTTG52XHO7XR3E5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HWAHXQR2YOJNTTG52XHO7XR3E5","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":"6b2850a8293df7ffc122770262c173dd1e1990257c6505bd15950cda537fc983","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-26T17:06:30Z","title_canon_sha256":"b4be2d899576dd0ae04fef08e988377afb84b960ef24f81e30ce5a5e31fa443c"},"schema_version":"1.0","source":{"id":"1701.07776","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.07776","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"1701.07776v2","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07776","created_at":"2026-05-18T00:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"HWAHXQR2YOJN","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"HWAHXQR2YOJNTTG5","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"HWAHXQR2","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:d96139f41ed66deeb8ba1819314553ce13b2ec6cb2e962d19dbca7eb371e087e","target":"graph","created_at":"2026-05-18T00:34:10Z","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":"A new approach on the joint estimation of partially exchangeable observations is presented by constructing pairwise dependence between $m$ random density functions, each of which is modeled as a mixture of geometric stick breaking processes. This approach is based on a new random central masses version of the Pairwise Dependent Dirichlet Process prior mixture model (PDDP) first introduced in Hatjispyros et al. (2011). The idea is to create pairwise dependence through random measures that are location-preserving-expectations of Dirichlet random measures. Our contention is that mixture modeling ","authors_text":"Christos Merkatas, Spyridon J. Hatjispyros, Stephen G. Walker, Theodoros Nicoleris","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-26T17:06:30Z","title":"Dependent Mixtures of Geometric Weights Priors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07776","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":"sha256:08c3757cb956f711375ac8c8f737501b0483dc8bb50b342125f685b38ec82392","target":"record","created_at":"2026-05-18T00:34:10Z","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":"6b2850a8293df7ffc122770262c173dd1e1990257c6505bd15950cda537fc983","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-01-26T17:06:30Z","title_canon_sha256":"b4be2d899576dd0ae04fef08e988377afb84b960ef24f81e30ce5a5e31fa443c"},"schema_version":"1.0","source":{"id":"1701.07776","kind":"arxiv","version":2}},"canonical_sha256":"3d807bc23ac392d9ccddd5ceefde3b277ad3b4f7c7c5f34b0d073345f144ec89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d807bc23ac392d9ccddd5ceefde3b277ad3b4f7c7c5f34b0d073345f144ec89","first_computed_at":"2026-05-18T00:34:10.043970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:10.043970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q3q6qq8i2suPiop/+PCptz1Jp5A1+FtkQf76GliXrO0sH+RxR5Yy0vbLA2Ja7K8Qikd2/7fhX1BDzQfx9QaACA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:10.044672Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.07776","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08c3757cb956f711375ac8c8f737501b0483dc8bb50b342125f685b38ec82392","sha256:d96139f41ed66deeb8ba1819314553ce13b2ec6cb2e962d19dbca7eb371e087e"],"state_sha256":"da3b07b51f7607e905b979f8f4ea30bb8009adc521670a15c7e7aec69b1efbd9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zRj+FDRnShnhp/t6PaRIiMXi5sEjgu81fE5dmt1LFl6+OT51W5zkNnOI3HMOxCp6P+aJRweYV7QpuJ0mDpm7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T09:26:15.020645Z","bundle_sha256":"7b54f3b1ed86bcb02173c8f669c0ee237e0f36c7f92950be422a884217227a82"}}