{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ORX5MT4INGOBWRH7VV7W3P4JR6","short_pith_number":"pith:ORX5MT4I","canonical_record":{"source":{"id":"1306.4657","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-19T19:37:53Z","cross_cats_sorted":[],"title_canon_sha256":"f2c6152d129bcdf1e1b0b8b3d14751b4f90a1cd375d643592dd863bdcba90654","abstract_canon_sha256":"c3955f43461f2978a7b46a0872c1070862062ce0725e08dac6ce803d31938f78"},"schema_version":"1.0"},"canonical_sha256":"746fd64f88699c1b44ffad7f6dbf898fb3318d623c92bb945d3c99fc61828dbc","source":{"kind":"arxiv","id":"1306.4657","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4657","created_at":"2026-05-18T03:20:33Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4657v1","created_at":"2026-05-18T03:20:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4657","created_at":"2026-05-18T03:20:33Z"},{"alias_kind":"pith_short_12","alias_value":"ORX5MT4INGOB","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"ORX5MT4INGOBWRH7","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"ORX5MT4I","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ORX5MT4INGOBWRH7VV7W3P4JR6","target":"record","payload":{"canonical_record":{"source":{"id":"1306.4657","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-19T19:37:53Z","cross_cats_sorted":[],"title_canon_sha256":"f2c6152d129bcdf1e1b0b8b3d14751b4f90a1cd375d643592dd863bdcba90654","abstract_canon_sha256":"c3955f43461f2978a7b46a0872c1070862062ce0725e08dac6ce803d31938f78"},"schema_version":"1.0"},"canonical_sha256":"746fd64f88699c1b44ffad7f6dbf898fb3318d623c92bb945d3c99fc61828dbc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:33.501649Z","signature_b64":"Hx/Ga6beGP+deiM4mMZSSdRC6MjM4oSiJI0e7m0h2YUJBvPS98m+VgMf89awKOq+ZIgkZDgq1NucEQdAdMY1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"746fd64f88699c1b44ffad7f6dbf898fb3318d623c92bb945d3c99fc61828dbc","last_reissued_at":"2026-05-18T03:20:33.500761Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:33.500761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.4657","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":"2026-05-18T03:20:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+BJjZCgMy3SRst23f1KK4IDNz51l8U+IkDhPeUj9CnUedDUFzq4FoGOjkDrvDVX4D0E3e+KcN3iXh84dOtasBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:43:06.405791Z"},"content_sha256":"e86d5e12e65b7bf49661daada682cf91d29ce1192aea45eade2cbfdbef1b8a9d","schema_version":"1.0","event_id":"sha256:e86d5e12e65b7bf49661daada682cf91d29ce1192aea45eade2cbfdbef1b8a9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ORX5MT4INGOBWRH7VV7W3P4JR6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite state space non parametric Hidden Markov Models are in general identifiable","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Alice Cleynen, Elisabeth Gassiat, St\\'ephane Robin","submitted_at":"2013-06-19T19:37:53Z","abstract_excerpt":"In this paper, we prove that finite state space non parametric hidden Markov models are identifiable as soon as the transition matrix of the latent Markov chain has full rank and the emission probability distributions are linearly independent. We then propose several non parametric likelihood based estimation methods, which we apply to models used in applications. We finally show on examples that the use of non parametric modeling and estimation may improve the classification performances."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4657","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":"2026-05-18T03:20:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U+MY6c7vRtNdACVBEUkxzpUFLFrUJjYWIm7igvpkSPXf3Fk8vLvL9044zGScadjjDEAfX3esiTAzhwMpSYOJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T11:43:06.406144Z"},"content_sha256":"413551548d4754b8c9f58cfe26feea2004ea99d400476f506562033a20a8c4e4","schema_version":"1.0","event_id":"sha256:413551548d4754b8c9f58cfe26feea2004ea99d400476f506562033a20a8c4e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ORX5MT4INGOBWRH7VV7W3P4JR6/bundle.json","state_url":"https://pith.science/pith/ORX5MT4INGOBWRH7VV7W3P4JR6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ORX5MT4INGOBWRH7VV7W3P4JR6/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":"2026-06-22T11:43:06Z","links":{"resolver":"https://pith.science/pith/ORX5MT4INGOBWRH7VV7W3P4JR6","bundle":"https://pith.science/pith/ORX5MT4INGOBWRH7VV7W3P4JR6/bundle.json","state":"https://pith.science/pith/ORX5MT4INGOBWRH7VV7W3P4JR6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ORX5MT4INGOBWRH7VV7W3P4JR6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ORX5MT4INGOBWRH7VV7W3P4JR6","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":"c3955f43461f2978a7b46a0872c1070862062ce0725e08dac6ce803d31938f78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-19T19:37:53Z","title_canon_sha256":"f2c6152d129bcdf1e1b0b8b3d14751b4f90a1cd375d643592dd863bdcba90654"},"schema_version":"1.0","source":{"id":"1306.4657","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4657","created_at":"2026-05-18T03:20:33Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4657v1","created_at":"2026-05-18T03:20:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4657","created_at":"2026-05-18T03:20:33Z"},{"alias_kind":"pith_short_12","alias_value":"ORX5MT4INGOB","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"ORX5MT4INGOBWRH7","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"ORX5MT4I","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:413551548d4754b8c9f58cfe26feea2004ea99d400476f506562033a20a8c4e4","target":"graph","created_at":"2026-05-18T03:20:33Z","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 prove that finite state space non parametric hidden Markov models are identifiable as soon as the transition matrix of the latent Markov chain has full rank and the emission probability distributions are linearly independent. We then propose several non parametric likelihood based estimation methods, which we apply to models used in applications. We finally show on examples that the use of non parametric modeling and estimation may improve the classification performances.","authors_text":"Alice Cleynen, Elisabeth Gassiat, St\\'ephane Robin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-19T19:37:53Z","title":"Finite state space non parametric Hidden Markov Models are in general identifiable"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4657","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:e86d5e12e65b7bf49661daada682cf91d29ce1192aea45eade2cbfdbef1b8a9d","target":"record","created_at":"2026-05-18T03:20:33Z","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":"c3955f43461f2978a7b46a0872c1070862062ce0725e08dac6ce803d31938f78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-06-19T19:37:53Z","title_canon_sha256":"f2c6152d129bcdf1e1b0b8b3d14751b4f90a1cd375d643592dd863bdcba90654"},"schema_version":"1.0","source":{"id":"1306.4657","kind":"arxiv","version":1}},"canonical_sha256":"746fd64f88699c1b44ffad7f6dbf898fb3318d623c92bb945d3c99fc61828dbc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"746fd64f88699c1b44ffad7f6dbf898fb3318d623c92bb945d3c99fc61828dbc","first_computed_at":"2026-05-18T03:20:33.500761Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:33.500761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hx/Ga6beGP+deiM4mMZSSdRC6MjM4oSiJI0e7m0h2YUJBvPS98m+VgMf89awKOq+ZIgkZDgq1NucEQdAdMY1Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:33.501649Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4657","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e86d5e12e65b7bf49661daada682cf91d29ce1192aea45eade2cbfdbef1b8a9d","sha256:413551548d4754b8c9f58cfe26feea2004ea99d400476f506562033a20a8c4e4"],"state_sha256":"726530cd020c53726d55249334cce2c9ef97c77211ad63d24553efe5048d01f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A3EPy3THuwUmviPbVguj+V8HPJ7pjLjbJKTrhVJYWziAp7mGBgT2GImwCwrDRZqaI8zJpC0Xmds9lvMqILDkAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T11:43:06.408002Z","bundle_sha256":"632371a8fcb684b46a84000884aa6ae98c0c1e547b598d0b0571fd46ee9b0eb5"}}