{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IB6VJUGMGDRUGHK5KF7UI4EJNN","short_pith_number":"pith:IB6VJUGM","canonical_record":{"source":{"id":"1309.4649","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-09-18T14:00:29Z","cross_cats_sorted":["physics.ins-det"],"title_canon_sha256":"a10c2a7aad9cdecc43f586597c38cae28faf0763747bee3a36908713a736f2a1","abstract_canon_sha256":"e0d8cbf84c92ece13ef342112823f253e205f3c2460cc5b2a6d0af3c110464d2"},"schema_version":"1.0"},"canonical_sha256":"407d54d0cc30e3431d5d517f4470896b500bcf705ccffb5bd3b79e01a09d5a7a","source":{"kind":"arxiv","id":"1309.4649","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4649","created_at":"2026-05-18T03:06:21Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4649v2","created_at":"2026-05-18T03:06:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4649","created_at":"2026-05-18T03:06:21Z"},{"alias_kind":"pith_short_12","alias_value":"IB6VJUGMGDRU","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IB6VJUGMGDRUGHK5","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IB6VJUGM","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IB6VJUGMGDRUGHK5KF7UI4EJNN","target":"record","payload":{"canonical_record":{"source":{"id":"1309.4649","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-09-18T14:00:29Z","cross_cats_sorted":["physics.ins-det"],"title_canon_sha256":"a10c2a7aad9cdecc43f586597c38cae28faf0763747bee3a36908713a736f2a1","abstract_canon_sha256":"e0d8cbf84c92ece13ef342112823f253e205f3c2460cc5b2a6d0af3c110464d2"},"schema_version":"1.0"},"canonical_sha256":"407d54d0cc30e3431d5d517f4470896b500bcf705ccffb5bd3b79e01a09d5a7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:21.664110Z","signature_b64":"TTg4aJDUHfOf8ndGJsjuWtQAQ03+B6AZltFJ58fhNBW0emxXAP/JCYevHHNVsn4LCQj9Nn3NG56ZVlIJPC4dBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"407d54d0cc30e3431d5d517f4470896b500bcf705ccffb5bd3b79e01a09d5a7a","last_reissued_at":"2026-05-18T03:06:21.663556Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:21.663556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.4649","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":"2026-05-18T03:06:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e3+TnZzeAKnJVyOdFtyXTOQQPmrFiPZa+rti7VLY6vPez/qLM6LKQxKE57FaLFPyfc61rB4kGIJCUwK5YCCVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:59:36.683654Z"},"content_sha256":"3dcb8ec89269bdc30308ac6078f40c7da5e3b7ebe37baecd97ba19839255f96e","schema_version":"1.0","event_id":"sha256:3dcb8ec89269bdc30308ac6078f40c7da5e3b7ebe37baecd97ba19839255f96e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IB6VJUGMGDRUGHK5KF7UI4EJNN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the distinguishability of histograms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.ins-det"],"primary_cat":"physics.data-an","authors_text":"A. Nikitenko, N. Krasnikov, S. Bityukov, V. Smirnova","submitted_at":"2013-09-18T14:00:29Z","abstract_excerpt":"We consider an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. two histograms are drawn from the same distribution). The approach is based on the notion \"significance of deviation\". This approach allows to estimate the statistical difference between two histograms using multi-dimensional test statistics. The distinguishability of histograms is estimated with the help of the construction a number of clones (rehistograms) of the observed histograms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4649","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":"2026-05-18T03:06:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x/M6gI04ZQY8ChZpvdaXTRphvsRj64wXURVoaXqqoHOYVLq5KlU4ZbSonL5m6YeNTkxWyPsV8NZYHrNf91M9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:59:36.684000Z"},"content_sha256":"8ea6656c2e6a359f29f9b5dced67e5bafec525b1f4ebabb38cc2a2319476f0a4","schema_version":"1.0","event_id":"sha256:8ea6656c2e6a359f29f9b5dced67e5bafec525b1f4ebabb38cc2a2319476f0a4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IB6VJUGMGDRUGHK5KF7UI4EJNN/bundle.json","state_url":"https://pith.science/pith/IB6VJUGMGDRUGHK5KF7UI4EJNN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IB6VJUGMGDRUGHK5KF7UI4EJNN/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":"2026-06-06T18:59:36Z","links":{"resolver":"https://pith.science/pith/IB6VJUGMGDRUGHK5KF7UI4EJNN","bundle":"https://pith.science/pith/IB6VJUGMGDRUGHK5KF7UI4EJNN/bundle.json","state":"https://pith.science/pith/IB6VJUGMGDRUGHK5KF7UI4EJNN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IB6VJUGMGDRUGHK5KF7UI4EJNN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IB6VJUGMGDRUGHK5KF7UI4EJNN","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":"e0d8cbf84c92ece13ef342112823f253e205f3c2460cc5b2a6d0af3c110464d2","cross_cats_sorted":["physics.ins-det"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-09-18T14:00:29Z","title_canon_sha256":"a10c2a7aad9cdecc43f586597c38cae28faf0763747bee3a36908713a736f2a1"},"schema_version":"1.0","source":{"id":"1309.4649","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4649","created_at":"2026-05-18T03:06:21Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4649v2","created_at":"2026-05-18T03:06:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4649","created_at":"2026-05-18T03:06:21Z"},{"alias_kind":"pith_short_12","alias_value":"IB6VJUGMGDRU","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IB6VJUGMGDRUGHK5","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IB6VJUGM","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:8ea6656c2e6a359f29f9b5dced67e5bafec525b1f4ebabb38cc2a2319476f0a4","target":"graph","created_at":"2026-05-18T03:06:21Z","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":"We consider an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. two histograms are drawn from the same distribution). The approach is based on the notion \"significance of deviation\". This approach allows to estimate the statistical difference between two histograms using multi-dimensional test statistics. The distinguishability of histograms is estimated with the help of the construction a number of clones (rehistograms) of the observed histograms.","authors_text":"A. Nikitenko, N. Krasnikov, S. Bityukov, V. Smirnova","cross_cats":["physics.ins-det"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-09-18T14:00:29Z","title":"On the distinguishability of histograms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4649","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":"sha256:3dcb8ec89269bdc30308ac6078f40c7da5e3b7ebe37baecd97ba19839255f96e","target":"record","created_at":"2026-05-18T03:06:21Z","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":"e0d8cbf84c92ece13ef342112823f253e205f3c2460cc5b2a6d0af3c110464d2","cross_cats_sorted":["physics.ins-det"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2013-09-18T14:00:29Z","title_canon_sha256":"a10c2a7aad9cdecc43f586597c38cae28faf0763747bee3a36908713a736f2a1"},"schema_version":"1.0","source":{"id":"1309.4649","kind":"arxiv","version":2}},"canonical_sha256":"407d54d0cc30e3431d5d517f4470896b500bcf705ccffb5bd3b79e01a09d5a7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"407d54d0cc30e3431d5d517f4470896b500bcf705ccffb5bd3b79e01a09d5a7a","first_computed_at":"2026-05-18T03:06:21.663556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:21.663556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TTg4aJDUHfOf8ndGJsjuWtQAQ03+B6AZltFJ58fhNBW0emxXAP/JCYevHHNVsn4LCQj9Nn3NG56ZVlIJPC4dBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:21.664110Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4649","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3dcb8ec89269bdc30308ac6078f40c7da5e3b7ebe37baecd97ba19839255f96e","sha256:8ea6656c2e6a359f29f9b5dced67e5bafec525b1f4ebabb38cc2a2319476f0a4"],"state_sha256":"97ed621bfe8f19f668d981c4bad35ec02a767a9d60ab8e2da027fe6f13457fe6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yINEPZtmbZNquXLRl0LGZoeN2ZWRtACgF4RWEbFaotGwKd0IuScLNj+bOotBGDoex33X2mnivShNKzj3MxvACw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:59:36.686290Z","bundle_sha256":"c12fdf576c6a6fc8497b9fc01418614b1c0713203f5925e79427eda018d9171c"}}