{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:62BXRMHRKDOM3BUCMTGC4LQDIA","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":"af1c9b93b1380a77ec804e392d67796674440aa169c9eea886f2edc9baeeda82","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-06-20T06:38:29Z","title_canon_sha256":"39851d75b7c66c9b0ea6262ed5bf0d95c61bcc37547a54af359eaed1009f266e"},"schema_version":"1.0","source":{"id":"1506.06205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.06205","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1506.06205v1","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06205","created_at":"2026-05-18T01:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"62BXRMHRKDOM","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"62BXRMHRKDOM3BUC","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"62BXRMHR","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:8f6ce3d139b72cd131d2280d58bb3f391a41cd0abb2a7d052e1fc4fa8249c339","target":"graph","created_at":"2026-05-18T01:41:58Z","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":"In this paper we introduce the intuitive notion of trivergence of probability distributions (TPD). This notion allow us to calculate the similarity among triplets of objects. For this computation, we can use the well known measures of probability divergences like Kullback-Leibler and Jensen-Shannon. Divergence measures may be used in Information Retrieval tasks as Automatic Text Summarization, Text Classification, among many others.","authors_text":"Juan-Manuel Torres-Moreno","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-06-20T06:38:29Z","title":"Trivergence of Probability Distributions, at glance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06205","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":"sha256:6a78953ad2ef4b58f6ec38d31409d700b53521ae169237b535880e5ef87cc89c","target":"record","created_at":"2026-05-18T01:41:58Z","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":"af1c9b93b1380a77ec804e392d67796674440aa169c9eea886f2edc9baeeda82","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-06-20T06:38:29Z","title_canon_sha256":"39851d75b7c66c9b0ea6262ed5bf0d95c61bcc37547a54af359eaed1009f266e"},"schema_version":"1.0","source":{"id":"1506.06205","kind":"arxiv","version":1}},"canonical_sha256":"f68378b0f150dccd868264cc2e2e034008de05d099fcbab78236abdcb2854782","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f68378b0f150dccd868264cc2e2e034008de05d099fcbab78236abdcb2854782","first_computed_at":"2026-05-18T01:41:58.467173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:58.467173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x+HnnCvydIfiNJ91NUB4R1P/eNESa6P+7ZMV3ohjTgdsrRdgFxawluZ75sPBYuasc0NS2a1xJTn2oS73+rvTCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:58.467766Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.06205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a78953ad2ef4b58f6ec38d31409d700b53521ae169237b535880e5ef87cc89c","sha256:8f6ce3d139b72cd131d2280d58bb3f391a41cd0abb2a7d052e1fc4fa8249c339"],"state_sha256":"afd392c26a8637e4234e110392e94b2f7144a03f3b6945869ddb3db817db9867"}