{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:V43E35ELZ6CARPY5MFLAOTUOFL","short_pith_number":"pith:V43E35EL","canonical_record":{"source":{"id":"1405.2200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-05-09T10:29:39Z","cross_cats_sorted":[],"title_canon_sha256":"945fdef6571089d352d9244f1b4b9b0dc5378ccee5d890848c39ef4e935576b6","abstract_canon_sha256":"26dd304a3a8e507c3d56afa2671a49436dd7030baf5b54ccb8131afe5616578e"},"schema_version":"1.0"},"canonical_sha256":"af364df48bcf8408bf1d6156074e8e2ae488965bae57a15ff014471f8930cf05","source":{"kind":"arxiv","id":"1405.2200","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2200","created_at":"2026-05-18T02:52:13Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2200v1","created_at":"2026-05-18T02:52:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2200","created_at":"2026-05-18T02:52:13Z"},{"alias_kind":"pith_short_12","alias_value":"V43E35ELZ6CA","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V43E35ELZ6CARPY5","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V43E35EL","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:V43E35ELZ6CARPY5MFLAOTUOFL","target":"record","payload":{"canonical_record":{"source":{"id":"1405.2200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-05-09T10:29:39Z","cross_cats_sorted":[],"title_canon_sha256":"945fdef6571089d352d9244f1b4b9b0dc5378ccee5d890848c39ef4e935576b6","abstract_canon_sha256":"26dd304a3a8e507c3d56afa2671a49436dd7030baf5b54ccb8131afe5616578e"},"schema_version":"1.0"},"canonical_sha256":"af364df48bcf8408bf1d6156074e8e2ae488965bae57a15ff014471f8930cf05","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:13.422394Z","signature_b64":"XobuNEC+r98vcsqqGPqCIP53HpQ8XLHjCgfsXgdx2PWyLXXkmfe2NbRFE7JST3/Gjcj5OOZKnceO5dTlygZzCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af364df48bcf8408bf1d6156074e8e2ae488965bae57a15ff014471f8930cf05","last_reissued_at":"2026-05-18T02:52:13.421737Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:13.421737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.2200","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":"2026-05-18T02:52:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MY1+3OrH2NZSosJ4Ak6MDA+N85O7p2bnlcDtJBkUQ0/rxnbmXYuyd+RAfaHNBHQdNy1xXuj/1MA/M2tmKqZ+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T15:47:49.716938Z"},"content_sha256":"9fbf2c8c09160d82dbbf1fb471ca83541b4f45595f5c01d2e687bc643452db9d","schema_version":"1.0","event_id":"sha256:9fbf2c8c09160d82dbbf1fb471ca83541b4f45595f5c01d2e687bc643452db9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:V43E35ELZ6CARPY5MFLAOTUOFL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dependence function for bivariate cdf's","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Teresa Ledwina","submitted_at":"2014-05-09T10:29:39Z","abstract_excerpt":"Measuring a strength of dependence of random variables is an important problem in statistical practice. In this paper, we propose a new function valued measure of dependence of two random variables. It allows one to study and visualize explicit dependence structure, both in some theoretical models and empirically, without prior model structure. This provides a comprehensive view of association structure and makes possible much detailed inference than based on standard numeric measures of association. We present theoretical properties of the new measure of dependence and discuss in detail estim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2200","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":"2026-05-18T02:52:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mJSf4Hyiwvc7xE541jEH5dQXoSz33EUCrJaRfqM/MxMl2mqzSBI8+90RsmQmadHPdq8YSUuoW2uHXBSuIH7XCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T15:47:49.717279Z"},"content_sha256":"25e21f5c78e90b0408693b9e9870f07b0a2bcab92aea20dc7ae01fce6d9121ea","schema_version":"1.0","event_id":"sha256:25e21f5c78e90b0408693b9e9870f07b0a2bcab92aea20dc7ae01fce6d9121ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V43E35ELZ6CARPY5MFLAOTUOFL/bundle.json","state_url":"https://pith.science/pith/V43E35ELZ6CARPY5MFLAOTUOFL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V43E35ELZ6CARPY5MFLAOTUOFL/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":"2026-06-25T15:47:49Z","links":{"resolver":"https://pith.science/pith/V43E35ELZ6CARPY5MFLAOTUOFL","bundle":"https://pith.science/pith/V43E35ELZ6CARPY5MFLAOTUOFL/bundle.json","state":"https://pith.science/pith/V43E35ELZ6CARPY5MFLAOTUOFL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V43E35ELZ6CARPY5MFLAOTUOFL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:V43E35ELZ6CARPY5MFLAOTUOFL","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":"26dd304a3a8e507c3d56afa2671a49436dd7030baf5b54ccb8131afe5616578e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-05-09T10:29:39Z","title_canon_sha256":"945fdef6571089d352d9244f1b4b9b0dc5378ccee5d890848c39ef4e935576b6"},"schema_version":"1.0","source":{"id":"1405.2200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2200","created_at":"2026-05-18T02:52:13Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2200v1","created_at":"2026-05-18T02:52:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2200","created_at":"2026-05-18T02:52:13Z"},{"alias_kind":"pith_short_12","alias_value":"V43E35ELZ6CA","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V43E35ELZ6CARPY5","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V43E35EL","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:25e21f5c78e90b0408693b9e9870f07b0a2bcab92aea20dc7ae01fce6d9121ea","target":"graph","created_at":"2026-05-18T02:52:13Z","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":"Measuring a strength of dependence of random variables is an important problem in statistical practice. In this paper, we propose a new function valued measure of dependence of two random variables. It allows one to study and visualize explicit dependence structure, both in some theoretical models and empirically, without prior model structure. This provides a comprehensive view of association structure and makes possible much detailed inference than based on standard numeric measures of association. We present theoretical properties of the new measure of dependence and discuss in detail estim","authors_text":"Teresa Ledwina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-05-09T10:29:39Z","title":"Dependence function for bivariate cdf's"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2200","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":"sha256:9fbf2c8c09160d82dbbf1fb471ca83541b4f45595f5c01d2e687bc643452db9d","target":"record","created_at":"2026-05-18T02:52:13Z","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":"26dd304a3a8e507c3d56afa2671a49436dd7030baf5b54ccb8131afe5616578e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-05-09T10:29:39Z","title_canon_sha256":"945fdef6571089d352d9244f1b4b9b0dc5378ccee5d890848c39ef4e935576b6"},"schema_version":"1.0","source":{"id":"1405.2200","kind":"arxiv","version":1}},"canonical_sha256":"af364df48bcf8408bf1d6156074e8e2ae488965bae57a15ff014471f8930cf05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af364df48bcf8408bf1d6156074e8e2ae488965bae57a15ff014471f8930cf05","first_computed_at":"2026-05-18T02:52:13.421737Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:13.421737Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XobuNEC+r98vcsqqGPqCIP53HpQ8XLHjCgfsXgdx2PWyLXXkmfe2NbRFE7JST3/Gjcj5OOZKnceO5dTlygZzCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:13.422394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.2200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9fbf2c8c09160d82dbbf1fb471ca83541b4f45595f5c01d2e687bc643452db9d","sha256:25e21f5c78e90b0408693b9e9870f07b0a2bcab92aea20dc7ae01fce6d9121ea"],"state_sha256":"4fbe242055d23b788ec4377b1cb952e84a7a158f9d7185a2a93b29349933b3c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9u2bh+lNrOITdkVhLo4LfLO05EcSbj6ELvRZ8JH0tZxbZ5CkoUv0pZhs3utCvZxfVX/sADB1DECsCVba/G7UAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T15:47:49.719262Z","bundle_sha256":"56778dbd0edf03899794fee2e1eb98d0f1fdc7e65d4e5330d6c6d53f0ba90f83"}}