{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:KE5G62KOKUEFWH3XNADOSOYS4F","short_pith_number":"pith:KE5G62KO","canonical_record":{"source":{"id":"2606.00233","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2026-05-29T18:08:31Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"701becf340a0f11ef20a5041d7ed8d1b2b91be705e997445786412491ea248f1","abstract_canon_sha256":"e7ae769c63c689c6c5b4fef291dea4130f430dc4ab52efc81779927b600ede88"},"schema_version":"1.0"},"canonical_sha256":"513a6f694e55085b1f776806e93b12e15835515bafe239fb29029b0390d5d76b","source":{"kind":"arxiv","id":"2606.00233","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.00233","created_at":"2026-06-02T01:03:22Z"},{"alias_kind":"arxiv_version","alias_value":"2606.00233v1","created_at":"2026-06-02T01:03:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.00233","created_at":"2026-06-02T01:03:22Z"},{"alias_kind":"pith_short_12","alias_value":"KE5G62KOKUEF","created_at":"2026-06-02T01:03:22Z"},{"alias_kind":"pith_short_16","alias_value":"KE5G62KOKUEFWH3X","created_at":"2026-06-02T01:03:22Z"},{"alias_kind":"pith_short_8","alias_value":"KE5G62KO","created_at":"2026-06-02T01:03:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:KE5G62KOKUEFWH3XNADOSOYS4F","target":"record","payload":{"canonical_record":{"source":{"id":"2606.00233","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2026-05-29T18:08:31Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"701becf340a0f11ef20a5041d7ed8d1b2b91be705e997445786412491ea248f1","abstract_canon_sha256":"e7ae769c63c689c6c5b4fef291dea4130f430dc4ab52efc81779927b600ede88"},"schema_version":"1.0"},"canonical_sha256":"513a6f694e55085b1f776806e93b12e15835515bafe239fb29029b0390d5d76b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:03:22.360260Z","signature_b64":"njXT4DnV4cecdWuH8gBWCrahma4ri5+QwHzBlzjpHAsBze/p9pTYzCz5hopXzTzQi7dTrC14LeaTkXP/J8MxDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"513a6f694e55085b1f776806e93b12e15835515bafe239fb29029b0390d5d76b","last_reissued_at":"2026-06-02T01:03:22.359908Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:03:22.359908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.00233","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":"2026-06-02T01:03:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/Gruj0TXJZg+KKH4Zy55/JZU+xZJmBk2gy51krLruHP+BjNjKH+ZHiGv0xTG498R7YmAzlfrL0xLQ/3r9mWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T04:36:17.226078Z"},"content_sha256":"69d29a760ed3a4dd6d6e7849ed671f1b88a1da0fce83a9eba709e970360ce17d","schema_version":"1.0","event_id":"sha256:69d29a760ed3a4dd6d6e7849ed671f1b88a1da0fce83a9eba709e970360ce17d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:KE5G62KOKUEFWH3XNADOSOYS4F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Density Evolution: A Multiscale View of Density Estimation","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Kisung You","submitted_at":"2026-05-29T18:08:31Z","abstract_excerpt":"Density estimation is often presented as a choice among parametric summaries, finite mixtures, and nonparametric smoothers. This review argues for a complementary view: a data set can be studied through a path of densities indexed by smoothing scale, diffusion time, model complexity, density level, or noise level. We call this perspective density evolution. Under this lens, Gaussian kernel density estimation is heat flow from the empirical measure; scale-space methods, critical bandwidths, mode trees, and derivative-significance displays describe the evolution of modal and derivative structure"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00233","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.00233/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-02T01:03:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7ByDiXd4rUcUwVpLWnkRHVeqpGvy0rgNaAyIMjPQvR2LSJfsNEbtCOt3OqJZjOZkXiFHzaF2/cEcX29rakCaBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T04:36:17.226474Z"},"content_sha256":"cfade1b55705906e796b54520303d9dd8c735dd3d92c82b71bce00ab35d1be3d","schema_version":"1.0","event_id":"sha256:cfade1b55705906e796b54520303d9dd8c735dd3d92c82b71bce00ab35d1be3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KE5G62KOKUEFWH3XNADOSOYS4F/bundle.json","state_url":"https://pith.science/pith/KE5G62KOKUEFWH3XNADOSOYS4F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KE5G62KOKUEFWH3XNADOSOYS4F/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":"2026-06-29T04:36:17Z","links":{"resolver":"https://pith.science/pith/KE5G62KOKUEFWH3XNADOSOYS4F","bundle":"https://pith.science/pith/KE5G62KOKUEFWH3XNADOSOYS4F/bundle.json","state":"https://pith.science/pith/KE5G62KOKUEFWH3XNADOSOYS4F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KE5G62KOKUEFWH3XNADOSOYS4F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KE5G62KOKUEFWH3XNADOSOYS4F","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":"e7ae769c63c689c6c5b4fef291dea4130f430dc4ab52efc81779927b600ede88","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2026-05-29T18:08:31Z","title_canon_sha256":"701becf340a0f11ef20a5041d7ed8d1b2b91be705e997445786412491ea248f1"},"schema_version":"1.0","source":{"id":"2606.00233","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.00233","created_at":"2026-06-02T01:03:22Z"},{"alias_kind":"arxiv_version","alias_value":"2606.00233v1","created_at":"2026-06-02T01:03:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.00233","created_at":"2026-06-02T01:03:22Z"},{"alias_kind":"pith_short_12","alias_value":"KE5G62KOKUEF","created_at":"2026-06-02T01:03:22Z"},{"alias_kind":"pith_short_16","alias_value":"KE5G62KOKUEFWH3X","created_at":"2026-06-02T01:03:22Z"},{"alias_kind":"pith_short_8","alias_value":"KE5G62KO","created_at":"2026-06-02T01:03:22Z"}],"graph_snapshots":[{"event_id":"sha256:cfade1b55705906e796b54520303d9dd8c735dd3d92c82b71bce00ab35d1be3d","target":"graph","created_at":"2026-06-02T01:03:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.00233/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Density estimation is often presented as a choice among parametric summaries, finite mixtures, and nonparametric smoothers. This review argues for a complementary view: a data set can be studied through a path of densities indexed by smoothing scale, diffusion time, model complexity, density level, or noise level. We call this perspective density evolution. Under this lens, Gaussian kernel density estimation is heat flow from the empirical measure; scale-space methods, critical bandwidths, mode trees, and derivative-significance displays describe the evolution of modal and derivative structure","authors_text":"Kisung You","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2026-05-29T18:08:31Z","title":"Density Evolution: A Multiscale View of Density Estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.00233","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":"sha256:69d29a760ed3a4dd6d6e7849ed671f1b88a1da0fce83a9eba709e970360ce17d","target":"record","created_at":"2026-06-02T01:03:22Z","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":"e7ae769c63c689c6c5b4fef291dea4130f430dc4ab52efc81779927b600ede88","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.ST","submitted_at":"2026-05-29T18:08:31Z","title_canon_sha256":"701becf340a0f11ef20a5041d7ed8d1b2b91be705e997445786412491ea248f1"},"schema_version":"1.0","source":{"id":"2606.00233","kind":"arxiv","version":1}},"canonical_sha256":"513a6f694e55085b1f776806e93b12e15835515bafe239fb29029b0390d5d76b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"513a6f694e55085b1f776806e93b12e15835515bafe239fb29029b0390d5d76b","first_computed_at":"2026-06-02T01:03:22.359908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:03:22.359908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"njXT4DnV4cecdWuH8gBWCrahma4ri5+QwHzBlzjpHAsBze/p9pTYzCz5hopXzTzQi7dTrC14LeaTkXP/J8MxDA==","signature_status":"signed_v1","signed_at":"2026-06-02T01:03:22.360260Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.00233","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69d29a760ed3a4dd6d6e7849ed671f1b88a1da0fce83a9eba709e970360ce17d","sha256:cfade1b55705906e796b54520303d9dd8c735dd3d92c82b71bce00ab35d1be3d"],"state_sha256":"5bb417066cd7ae9769b3fca9e6ab187af6de98f5f58e5ec4d98fc78a5942fda8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SHLDcL4YPY2ZoOf98LBGKwq5cklkGsXASec0dFycHuDdS5D7yzyBfiHqRaCbnCSdpdsnq4BuaBPLkjvt5wvWCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T04:36:17.228488Z","bundle_sha256":"4942c19e68e9a4831ee64f49a166151cd91bedc41d891ec24739802a10221631"}}