{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:NRE2QMH4CALWIJIHOUOJAMEA6B","short_pith_number":"pith:NRE2QMH4","canonical_record":{"source":{"id":"1411.6471","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-24T14:48:17Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"f2e4b1176d9da47de8aa3e09b9ee946d6db2bda2fae7003090aa7622b42dcd96","abstract_canon_sha256":"4c74b2b14716ff3dbf9689d00d3221c3c60784ac3b94ecdfc95773675073709a"},"schema_version":"1.0"},"canonical_sha256":"6c49a830fc1017642507751c903080f04198995b336d6520b8da896ed6a0cfc5","source":{"kind":"arxiv","id":"1411.6471","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6471","created_at":"2026-05-18T01:30:51Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6471v3","created_at":"2026-05-18T01:30:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6471","created_at":"2026-05-18T01:30:51Z"},{"alias_kind":"pith_short_12","alias_value":"NRE2QMH4CALW","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NRE2QMH4CALWIJIH","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NRE2QMH4","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:NRE2QMH4CALWIJIHOUOJAMEA6B","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6471","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-24T14:48:17Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"f2e4b1176d9da47de8aa3e09b9ee946d6db2bda2fae7003090aa7622b42dcd96","abstract_canon_sha256":"4c74b2b14716ff3dbf9689d00d3221c3c60784ac3b94ecdfc95773675073709a"},"schema_version":"1.0"},"canonical_sha256":"6c49a830fc1017642507751c903080f04198995b336d6520b8da896ed6a0cfc5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:51.162011Z","signature_b64":"nuRCjMv3s3TgO+UQn0DKXCMjibNkv3PxnYUCIoeLApO3Ppm7gu7vJe5WKtjIIh5idPmC5PfwEXcNsnuyHgniDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c49a830fc1017642507751c903080f04198995b336d6520b8da896ed6a0cfc5","last_reissued_at":"2026-05-18T01:30:51.161539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:51.161539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6471","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:30:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ozq8s4zvjn59akUge2UKfSIu8AQOil4IXlybr2U8DV3pQW9Ky2xrKW5ZhudVbnF37KvsV61IrgV6u5JmdMi5Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:38:47.900715Z"},"content_sha256":"7fca6fe117e3b9ed5f53d1f81ae7877e5a0f163eadfab5ba4f8c57a92ebc9c95","schema_version":"1.0","event_id":"sha256:7fca6fe117e3b9ed5f53d1f81ae7877e5a0f163eadfab5ba4f8c57a92ebc9c95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:NRE2QMH4CALWIJIHOUOJAMEA6B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal string clustering based on a Laplace-like mixture and EM algorithm on a set of strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Hitoshi Koyano, Morihiro Hayashida, Tatsuya Akutsu","submitted_at":"2014-11-24T14:48:17Z","abstract_excerpt":"In this study, we address the problem of clustering string data in an unsupervised manner by developing a theory of a mixture model and an EM algorithm for string data based on probability theory on a topological monoid of strings developed in our previous studies. We first construct a parametric distribution on a set of strings in the motif of the Laplace distribution on a set of real numbers and reveal its basic properties. This Laplace-like distribution has two parameters: a string that represents the location of the distribution and a positive real number that represents the dispersion. It"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6471","kind":"arxiv","version":3},"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":"2026-05-18T01:30:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LbHsBcBTJbmukEVDGfqCZOYJlhmh14p85gzVMXypOJqtc2t1Z4kyPi26+UExHkZXSCV+Ze5AxZxbJt8aqncHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:38:47.901539Z"},"content_sha256":"6fbd71375814e11fffa9a9273afbf02d208404f78cd081cbfeb2cac261ba71aa","schema_version":"1.0","event_id":"sha256:6fbd71375814e11fffa9a9273afbf02d208404f78cd081cbfeb2cac261ba71aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NRE2QMH4CALWIJIHOUOJAMEA6B/bundle.json","state_url":"https://pith.science/pith/NRE2QMH4CALWIJIHOUOJAMEA6B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NRE2QMH4CALWIJIHOUOJAMEA6B/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":"2026-06-08T09:38:47Z","links":{"resolver":"https://pith.science/pith/NRE2QMH4CALWIJIHOUOJAMEA6B","bundle":"https://pith.science/pith/NRE2QMH4CALWIJIHOUOJAMEA6B/bundle.json","state":"https://pith.science/pith/NRE2QMH4CALWIJIHOUOJAMEA6B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NRE2QMH4CALWIJIHOUOJAMEA6B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:NRE2QMH4CALWIJIHOUOJAMEA6B","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":"4c74b2b14716ff3dbf9689d00d3221c3c60784ac3b94ecdfc95773675073709a","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-24T14:48:17Z","title_canon_sha256":"f2e4b1176d9da47de8aa3e09b9ee946d6db2bda2fae7003090aa7622b42dcd96"},"schema_version":"1.0","source":{"id":"1411.6471","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6471","created_at":"2026-05-18T01:30:51Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6471v3","created_at":"2026-05-18T01:30:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6471","created_at":"2026-05-18T01:30:51Z"},{"alias_kind":"pith_short_12","alias_value":"NRE2QMH4CALW","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"NRE2QMH4CALWIJIH","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"NRE2QMH4","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:6fbd71375814e11fffa9a9273afbf02d208404f78cd081cbfeb2cac261ba71aa","target":"graph","created_at":"2026-05-18T01:30:51Z","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 study, we address the problem of clustering string data in an unsupervised manner by developing a theory of a mixture model and an EM algorithm for string data based on probability theory on a topological monoid of strings developed in our previous studies. We first construct a parametric distribution on a set of strings in the motif of the Laplace distribution on a set of real numbers and reveal its basic properties. This Laplace-like distribution has two parameters: a string that represents the location of the distribution and a positive real number that represents the dispersion. It","authors_text":"Hitoshi Koyano, Morihiro Hayashida, Tatsuya Akutsu","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-24T14:48:17Z","title":"Optimal string clustering based on a Laplace-like mixture and EM algorithm on a set of strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6471","kind":"arxiv","version":3},"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":"sha256:7fca6fe117e3b9ed5f53d1f81ae7877e5a0f163eadfab5ba4f8c57a92ebc9c95","target":"record","created_at":"2026-05-18T01:30:51Z","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":"4c74b2b14716ff3dbf9689d00d3221c3c60784ac3b94ecdfc95773675073709a","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-24T14:48:17Z","title_canon_sha256":"f2e4b1176d9da47de8aa3e09b9ee946d6db2bda2fae7003090aa7622b42dcd96"},"schema_version":"1.0","source":{"id":"1411.6471","kind":"arxiv","version":3}},"canonical_sha256":"6c49a830fc1017642507751c903080f04198995b336d6520b8da896ed6a0cfc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c49a830fc1017642507751c903080f04198995b336d6520b8da896ed6a0cfc5","first_computed_at":"2026-05-18T01:30:51.161539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:51.161539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nuRCjMv3s3TgO+UQn0DKXCMjibNkv3PxnYUCIoeLApO3Ppm7gu7vJe5WKtjIIh5idPmC5PfwEXcNsnuyHgniDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:51.162011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6471","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fca6fe117e3b9ed5f53d1f81ae7877e5a0f163eadfab5ba4f8c57a92ebc9c95","sha256:6fbd71375814e11fffa9a9273afbf02d208404f78cd081cbfeb2cac261ba71aa"],"state_sha256":"b42bfd29fcfbc3e9dba90a19e509c6758068ec2b30d5eafdbedfc547d92e95fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e5D49cRole9Lbr6HXM0EV4TJ5AP63T1rJJ75Fl5jBDNy1oIZ2yo3nvqJu9rTwwD6UIo9S6eHV+qXw0NRTsJlDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T09:38:47.905877Z","bundle_sha256":"e2a37802616d81d9d87c13c3f8788f1a931c6351f49a637ef2e58031ddf87ee0"}}