{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ESNSNHVGP2KKWDEDN3K6HORLTE","short_pith_number":"pith:ESNSNHVG","canonical_record":{"source":{"id":"1109.1844","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2011-09-08T20:53:54Z","cross_cats_sorted":[],"title_canon_sha256":"b9a8fda2b751f4fd57470397655d2ba182cdf619f4c2444abb122d6953a5a778","abstract_canon_sha256":"dcd6599c2a2b30c6a439d8e27f6873486e421311c248d327e9fb10bfa6914421"},"schema_version":"1.0"},"canonical_sha256":"249b269ea67e94ab0c836ed5e3ba2b991ad9599bd7eedcc5ef267aa36578459f","source":{"kind":"arxiv","id":"1109.1844","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1844","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1844v2","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1844","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"ESNSNHVGP2KK","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ESNSNHVGP2KKWDED","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ESNSNHVG","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ESNSNHVGP2KKWDEDN3K6HORLTE","target":"record","payload":{"canonical_record":{"source":{"id":"1109.1844","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2011-09-08T20:53:54Z","cross_cats_sorted":[],"title_canon_sha256":"b9a8fda2b751f4fd57470397655d2ba182cdf619f4c2444abb122d6953a5a778","abstract_canon_sha256":"dcd6599c2a2b30c6a439d8e27f6873486e421311c248d327e9fb10bfa6914421"},"schema_version":"1.0"},"canonical_sha256":"249b269ea67e94ab0c836ed5e3ba2b991ad9599bd7eedcc5ef267aa36578459f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:24.689814Z","signature_b64":"FHAighbRl3osn9blPck41PsmMSxebPUk4IKVTF6LHPk0xEq+/eZ+cW3RceweRu9LIWC7s6g5ruJrDHPtAhb1AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"249b269ea67e94ab0c836ed5e3ba2b991ad9599bd7eedcc5ef267aa36578459f","last_reissued_at":"2026-05-18T01:03:24.689328Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:24.689328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.1844","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":"2026-05-18T01:03:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HhJ7pIlNQxYX8ETuvUfowCiMAe6imgnoQtj1HT+T8TbM4m6zcsXtPxYEkMOkHYwFdHtlFNHB9P1DWVrReZgnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:26:13.653461Z"},"content_sha256":"eee94edd5d92b19cd02783716a1e105108b00b4bdcfe73eac5a5706ecff77e17","schema_version":"1.0","event_id":"sha256:eee94edd5d92b19cd02783716a1e105108b00b4bdcfe73eac5a5706ecff77e17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ESNSNHVGP2KKWDEDN3K6HORLTE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weighted Clustering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"David Loker, Margareta Ackerman, Shai Ben-David, Simina Br\\^anzei","submitted_at":"2011-09-08T20:53:54Z","abstract_excerpt":"One of the most prominent challenges in clustering is \"the user's dilemma,\" which is the problem of selecting an appropriate clustering algorithm for a specific task. A formal approach for addressing this problem relies on the identification of succinct, user-friendly properties that formally capture when certain clustering methods are preferred over others.\n  Until now these properties focused on advantages of classical Linkage-Based algorithms, failing to identify when other clustering paradigms, such as popular center-based methods, are preferable. We present surprisingly simple new propert"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1844","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":"2026-05-18T01:03:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"75XU5rftV2CwTjtRWpS96JlH7jcSSFg1Xzt4QW5wV7KYn5+ey1a/JLEnhQQVGHk2SUeXFs4zN+JWhlJW05THCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:26:13.654157Z"},"content_sha256":"88b80a06c3f40aa16f37f7813dc8d64449ec6f622c3164d48b6115fde82d12b3","schema_version":"1.0","event_id":"sha256:88b80a06c3f40aa16f37f7813dc8d64449ec6f622c3164d48b6115fde82d12b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ESNSNHVGP2KKWDEDN3K6HORLTE/bundle.json","state_url":"https://pith.science/pith/ESNSNHVGP2KKWDEDN3K6HORLTE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ESNSNHVGP2KKWDEDN3K6HORLTE/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":"2026-05-25T16:26:13Z","links":{"resolver":"https://pith.science/pith/ESNSNHVGP2KKWDEDN3K6HORLTE","bundle":"https://pith.science/pith/ESNSNHVGP2KKWDEDN3K6HORLTE/bundle.json","state":"https://pith.science/pith/ESNSNHVGP2KKWDEDN3K6HORLTE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ESNSNHVGP2KKWDEDN3K6HORLTE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ESNSNHVGP2KKWDEDN3K6HORLTE","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":"dcd6599c2a2b30c6a439d8e27f6873486e421311c248d327e9fb10bfa6914421","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2011-09-08T20:53:54Z","title_canon_sha256":"b9a8fda2b751f4fd57470397655d2ba182cdf619f4c2444abb122d6953a5a778"},"schema_version":"1.0","source":{"id":"1109.1844","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.1844","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"arxiv_version","alias_value":"1109.1844v2","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.1844","created_at":"2026-05-18T01:03:24Z"},{"alias_kind":"pith_short_12","alias_value":"ESNSNHVGP2KK","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"ESNSNHVGP2KKWDED","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"ESNSNHVG","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:88b80a06c3f40aa16f37f7813dc8d64449ec6f622c3164d48b6115fde82d12b3","target":"graph","created_at":"2026-05-18T01:03:24Z","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":"One of the most prominent challenges in clustering is \"the user's dilemma,\" which is the problem of selecting an appropriate clustering algorithm for a specific task. A formal approach for addressing this problem relies on the identification of succinct, user-friendly properties that formally capture when certain clustering methods are preferred over others.\n  Until now these properties focused on advantages of classical Linkage-Based algorithms, failing to identify when other clustering paradigms, such as popular center-based methods, are preferable. We present surprisingly simple new propert","authors_text":"David Loker, Margareta Ackerman, Shai Ben-David, Simina Br\\^anzei","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2011-09-08T20:53:54Z","title":"Weighted Clustering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.1844","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:eee94edd5d92b19cd02783716a1e105108b00b4bdcfe73eac5a5706ecff77e17","target":"record","created_at":"2026-05-18T01:03:24Z","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":"dcd6599c2a2b30c6a439d8e27f6873486e421311c248d327e9fb10bfa6914421","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2011-09-08T20:53:54Z","title_canon_sha256":"b9a8fda2b751f4fd57470397655d2ba182cdf619f4c2444abb122d6953a5a778"},"schema_version":"1.0","source":{"id":"1109.1844","kind":"arxiv","version":2}},"canonical_sha256":"249b269ea67e94ab0c836ed5e3ba2b991ad9599bd7eedcc5ef267aa36578459f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"249b269ea67e94ab0c836ed5e3ba2b991ad9599bd7eedcc5ef267aa36578459f","first_computed_at":"2026-05-18T01:03:24.689328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:24.689328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FHAighbRl3osn9blPck41PsmMSxebPUk4IKVTF6LHPk0xEq+/eZ+cW3RceweRu9LIWC7s6g5ruJrDHPtAhb1AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:24.689814Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.1844","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eee94edd5d92b19cd02783716a1e105108b00b4bdcfe73eac5a5706ecff77e17","sha256:88b80a06c3f40aa16f37f7813dc8d64449ec6f622c3164d48b6115fde82d12b3"],"state_sha256":"7c802e5e738361ed6628b21e7ad12180a12ce0f08eced95d744276d842021a37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4qCgbCGN3+SRIA0kI53YjPvHv07KBFWywosZOBne/O0DpH7EZPo4zpKB+c7J1T4a0GWA8SboYfrm+LYwZKc/AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:26:13.657911Z","bundle_sha256":"523c1052667ca1189aa227835f9ee248172f64960515d4dce9e9ec3473dc2947"}}