{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:GSL2ISYXEU3HI3ID6WAU5M77S3","short_pith_number":"pith:GSL2ISYX","canonical_record":{"source":{"id":"astro-ph/9508150","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1995-08-31T08:26:23Z","cross_cats_sorted":[],"title_canon_sha256":"2c344cb4aef1f375b4ccb33dd68747705a12d444cfffe0cebfa2f4dcf1841b7e","abstract_canon_sha256":"4b78587940533ddc750dfabeb18e8622a1fb0530b67918185a17ab437d38bb93"},"schema_version":"1.0"},"canonical_sha256":"3497a44b172536746d03f5814eb3ff96d56178f69a0f0bcaf87878fdf985988f","source":{"kind":"arxiv","id":"astro-ph/9508150","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9508150","created_at":"2026-05-18T01:40:22Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9508150v1","created_at":"2026-05-18T01:40:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9508150","created_at":"2026-05-18T01:40:22Z"},{"alias_kind":"pith_short_12","alias_value":"GSL2ISYXEU3H","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"GSL2ISYXEU3HI3ID","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"GSL2ISYX","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:GSL2ISYXEU3HI3ID6WAU5M77S3","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9508150","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1995-08-31T08:26:23Z","cross_cats_sorted":[],"title_canon_sha256":"2c344cb4aef1f375b4ccb33dd68747705a12d444cfffe0cebfa2f4dcf1841b7e","abstract_canon_sha256":"4b78587940533ddc750dfabeb18e8622a1fb0530b67918185a17ab437d38bb93"},"schema_version":"1.0"},"canonical_sha256":"3497a44b172536746d03f5814eb3ff96d56178f69a0f0bcaf87878fdf985988f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:22.799065Z","signature_b64":"za+FGJwPa5pfiCh7Qa9R2PZQlyAeBpIysX6Ia16aaWaGW3JvT9TidD7z8I1uwg1fJqgXh2ARCMuqzmzRkR+9Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3497a44b172536746d03f5814eb3ff96d56178f69a0f0bcaf87878fdf985988f","last_reissued_at":"2026-05-18T01:40:22.798474Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:22.798474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9508150","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":"2026-05-18T01:40:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LcYI7iVELJXapUd8vFzbmY896tKuJ+vKolqmjSNTFk+SPhDO7r5hEPmriHsZiiQ/l4zal8k2d+BAFoFNn28jCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T17:36:18.552648Z"},"content_sha256":"2e99f2438ec85a0cbbaf0cbcb1d87eb30864821384a57fddb315695403588dce","schema_version":"1.0","event_id":"sha256:2e99f2438ec85a0cbbaf0cbcb1d87eb30864821384a57fddb315695403588dce"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:GSL2ISYXEU3HI3ID6WAU5M77S3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A non-parametric and scale-independent method for cluster analysis II: the multivariate case","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Armando Pisani","submitted_at":"1995-08-31T08:26:23Z","abstract_excerpt":"A general method is described for detecting and analysing galaxy systems. The multivariate geometrical structure of the sample is studied by using an extension of the method which we introduced in a previous paper. The method is based on an estimate of the probability density underlying a data sample. The density is estimated by using an iterative and adaptive kernel estimator. The used kernels have spherical symmetry, however we describe a method in order to estimate the locally optimal shape of the kernels. We use the results of the geometrical structure analysis in order to study the effect"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9508150","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":"2026-05-18T01:40:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BU63KoZZekzS90bEhct/nkdNB5CNSWm8Ts44DWTzI51HTMbckMsLCXUjj2TQqNCpxsKJ9ukTpRQkMH1eJdHZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T17:36:18.553112Z"},"content_sha256":"76b5050cbc8c1a8748fcb30c60667a8f3f93899c28c1cf9b89daeb65753fb6e6","schema_version":"1.0","event_id":"sha256:76b5050cbc8c1a8748fcb30c60667a8f3f93899c28c1cf9b89daeb65753fb6e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GSL2ISYXEU3HI3ID6WAU5M77S3/bundle.json","state_url":"https://pith.science/pith/GSL2ISYXEU3HI3ID6WAU5M77S3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GSL2ISYXEU3HI3ID6WAU5M77S3/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":"2026-06-24T17:36:18Z","links":{"resolver":"https://pith.science/pith/GSL2ISYXEU3HI3ID6WAU5M77S3","bundle":"https://pith.science/pith/GSL2ISYXEU3HI3ID6WAU5M77S3/bundle.json","state":"https://pith.science/pith/GSL2ISYXEU3HI3ID6WAU5M77S3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GSL2ISYXEU3HI3ID6WAU5M77S3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:GSL2ISYXEU3HI3ID6WAU5M77S3","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":"4b78587940533ddc750dfabeb18e8622a1fb0530b67918185a17ab437d38bb93","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1995-08-31T08:26:23Z","title_canon_sha256":"2c344cb4aef1f375b4ccb33dd68747705a12d444cfffe0cebfa2f4dcf1841b7e"},"schema_version":"1.0","source":{"id":"astro-ph/9508150","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9508150","created_at":"2026-05-18T01:40:22Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9508150v1","created_at":"2026-05-18T01:40:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9508150","created_at":"2026-05-18T01:40:22Z"},{"alias_kind":"pith_short_12","alias_value":"GSL2ISYXEU3H","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"GSL2ISYXEU3HI3ID","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"GSL2ISYX","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:76b5050cbc8c1a8748fcb30c60667a8f3f93899c28c1cf9b89daeb65753fb6e6","target":"graph","created_at":"2026-05-18T01:40:22Z","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"},"paper":{"abstract_excerpt":"A general method is described for detecting and analysing galaxy systems. The multivariate geometrical structure of the sample is studied by using an extension of the method which we introduced in a previous paper. The method is based on an estimate of the probability density underlying a data sample. The density is estimated by using an iterative and adaptive kernel estimator. The used kernels have spherical symmetry, however we describe a method in order to estimate the locally optimal shape of the kernels. We use the results of the geometrical structure analysis in order to study the effect","authors_text":"Armando Pisani","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1995-08-31T08:26:23Z","title":"A non-parametric and scale-independent method for cluster analysis II: the multivariate case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9508150","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":"sha256:2e99f2438ec85a0cbbaf0cbcb1d87eb30864821384a57fddb315695403588dce","target":"record","created_at":"2026-05-18T01:40:22Z","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":"4b78587940533ddc750dfabeb18e8622a1fb0530b67918185a17ab437d38bb93","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1995-08-31T08:26:23Z","title_canon_sha256":"2c344cb4aef1f375b4ccb33dd68747705a12d444cfffe0cebfa2f4dcf1841b7e"},"schema_version":"1.0","source":{"id":"astro-ph/9508150","kind":"arxiv","version":1}},"canonical_sha256":"3497a44b172536746d03f5814eb3ff96d56178f69a0f0bcaf87878fdf985988f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3497a44b172536746d03f5814eb3ff96d56178f69a0f0bcaf87878fdf985988f","first_computed_at":"2026-05-18T01:40:22.798474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:22.798474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"za+FGJwPa5pfiCh7Qa9R2PZQlyAeBpIysX6Ia16aaWaGW3JvT9TidD7z8I1uwg1fJqgXh2ARCMuqzmzRkR+9Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:22.799065Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9508150","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e99f2438ec85a0cbbaf0cbcb1d87eb30864821384a57fddb315695403588dce","sha256:76b5050cbc8c1a8748fcb30c60667a8f3f93899c28c1cf9b89daeb65753fb6e6"],"state_sha256":"d55e76b24fc8eb3f9bd277079330aa9e347ac06c5bd39078eee0e11453ac26ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EazJWwJWbx+Q6SIQ9eWVUD2RP9lywW4aeBAMyjJXV/QihmQSCfzZknr5gaGZxEfrqMyhvcgPu/ZLXsafxvJ4CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T17:36:18.555773Z","bundle_sha256":"aae79745cbff512b502ce0ac6be261fcf77bce5e3f547ece3f4d31a3ed8c262c"}}