{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:Q27CKVVFQGVNHVR35YC5R44NAZ","short_pith_number":"pith:Q27CKVVF","canonical_record":{"source":{"id":"2301.06712","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-01-17T05:43:40Z","cross_cats_sorted":["physics.comp-ph","physics.soc-ph"],"title_canon_sha256":"774b72d23c83bd5ad2bea478ce604220cc34bbf0e16049587e2fcc7a1a558aa9","abstract_canon_sha256":"e7941e1e6ee22a00be41d9d1ef019800645f7717ab320c71a2a09c07bf5e3add"},"schema_version":"1.0"},"canonical_sha256":"86be2556a581aad3d63bee05d8f38d065224b320f56fbb47a3e4de6a1a58b417","source":{"kind":"arxiv","id":"2301.06712","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.06712","created_at":"2026-07-05T06:25:39Z"},{"alias_kind":"arxiv_version","alias_value":"2301.06712v2","created_at":"2026-07-05T06:25:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.06712","created_at":"2026-07-05T06:25:39Z"},{"alias_kind":"pith_short_12","alias_value":"Q27CKVVFQGVN","created_at":"2026-07-05T06:25:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q27CKVVFQGVNHVR3","created_at":"2026-07-05T06:25:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q27CKVVF","created_at":"2026-07-05T06:25:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:Q27CKVVFQGVNHVR35YC5R44NAZ","target":"record","payload":{"canonical_record":{"source":{"id":"2301.06712","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-01-17T05:43:40Z","cross_cats_sorted":["physics.comp-ph","physics.soc-ph"],"title_canon_sha256":"774b72d23c83bd5ad2bea478ce604220cc34bbf0e16049587e2fcc7a1a558aa9","abstract_canon_sha256":"e7941e1e6ee22a00be41d9d1ef019800645f7717ab320c71a2a09c07bf5e3add"},"schema_version":"1.0"},"canonical_sha256":"86be2556a581aad3d63bee05d8f38d065224b320f56fbb47a3e4de6a1a58b417","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:25:39.372803Z","signature_b64":"ZlyMGgwD+9ppLeZsYeElRjUrqK0xCh0atx9ymajC8n3HXy6BJqX8Lu973870J8W/ZSBs0ywqWpLvgBT6mh/EAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86be2556a581aad3d63bee05d8f38d065224b320f56fbb47a3e4de6a1a58b417","last_reissued_at":"2026-07-05T06:25:39.372291Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:25:39.372291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.06712","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":"2026-07-05T06:25:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2CFimkvJUv0E4/SJG6CLeRcBypyaWZUCkeiauXZWUxIkCxOnHfczLnz16avN9MvAq5LHEyvknxB+6GckH/8HCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T16:54:39.165870Z"},"content_sha256":"67a33f700cfcaa624b12c9556248e8026d47624aec29dc69ff42d26a9dc2b9de","schema_version":"1.0","event_id":"sha256:67a33f700cfcaa624b12c9556248e8026d47624aec29dc69ff42d26a9dc2b9de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:Q27CKVVFQGVNHVR35YC5R44NAZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$(k,q)$-core decomposition of hypergraphs","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph","physics.soc-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"B. Kahng, Deok-Sun Lee, Jongshin Lee, Kwang-Il Goh","submitted_at":"2023-01-17T05:43:40Z","abstract_excerpt":"In complex networks, many elements interact with each other in different ways. A hypergraph is a network in which group interactions occur among more than two elements. In this study, first, we propose a method to identify influential subgroups in hypergraphs, named $(k,q)$-core decomposition. The $(k,q)$-core is defined as the maximal subgraph in which each vertex has at least $k$ hypergraph degrees \\textit{and} each hyperedge contains at least $q$ vertices. The method contains a repeated pruning process until reaching the $(k,q)$-core, which shares similarities with a widely used $k$-core de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.06712","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2301.06712/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":"2026-07-05T06:25:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KDmN4kytkhPeeSICTAG3jTfzyGiXR2MooxBy5ktYRFS3cZ75zxzmyXP3ZeOqqVuba1XFrUNuffRATVWvnttKCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T16:54:39.166247Z"},"content_sha256":"ec56f3a3b00d1d001963c195a6d6dd83760f1b46917041098fa98fb31c2751dc","schema_version":"1.0","event_id":"sha256:ec56f3a3b00d1d001963c195a6d6dd83760f1b46917041098fa98fb31c2751dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q27CKVVFQGVNHVR35YC5R44NAZ/bundle.json","state_url":"https://pith.science/pith/Q27CKVVFQGVNHVR35YC5R44NAZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q27CKVVFQGVNHVR35YC5R44NAZ/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":"2026-07-18T16:54:39Z","links":{"resolver":"https://pith.science/pith/Q27CKVVFQGVNHVR35YC5R44NAZ","bundle":"https://pith.science/pith/Q27CKVVFQGVNHVR35YC5R44NAZ/bundle.json","state":"https://pith.science/pith/Q27CKVVFQGVNHVR35YC5R44NAZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q27CKVVFQGVNHVR35YC5R44NAZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Q27CKVVFQGVNHVR35YC5R44NAZ","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":"e7941e1e6ee22a00be41d9d1ef019800645f7717ab320c71a2a09c07bf5e3add","cross_cats_sorted":["physics.comp-ph","physics.soc-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-01-17T05:43:40Z","title_canon_sha256":"774b72d23c83bd5ad2bea478ce604220cc34bbf0e16049587e2fcc7a1a558aa9"},"schema_version":"1.0","source":{"id":"2301.06712","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.06712","created_at":"2026-07-05T06:25:39Z"},{"alias_kind":"arxiv_version","alias_value":"2301.06712v2","created_at":"2026-07-05T06:25:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.06712","created_at":"2026-07-05T06:25:39Z"},{"alias_kind":"pith_short_12","alias_value":"Q27CKVVFQGVN","created_at":"2026-07-05T06:25:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q27CKVVFQGVNHVR3","created_at":"2026-07-05T06:25:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q27CKVVF","created_at":"2026-07-05T06:25:39Z"}],"graph_snapshots":[{"event_id":"sha256:ec56f3a3b00d1d001963c195a6d6dd83760f1b46917041098fa98fb31c2751dc","target":"graph","created_at":"2026-07-05T06:25:39Z","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/2301.06712/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In complex networks, many elements interact with each other in different ways. A hypergraph is a network in which group interactions occur among more than two elements. In this study, first, we propose a method to identify influential subgroups in hypergraphs, named $(k,q)$-core decomposition. The $(k,q)$-core is defined as the maximal subgraph in which each vertex has at least $k$ hypergraph degrees \\textit{and} each hyperedge contains at least $q$ vertices. The method contains a repeated pruning process until reaching the $(k,q)$-core, which shares similarities with a widely used $k$-core de","authors_text":"B. Kahng, Deok-Sun Lee, Jongshin Lee, Kwang-Il Goh","cross_cats":["physics.comp-ph","physics.soc-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-01-17T05:43:40Z","title":"$(k,q)$-core decomposition of hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.06712","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":"sha256:67a33f700cfcaa624b12c9556248e8026d47624aec29dc69ff42d26a9dc2b9de","target":"record","created_at":"2026-07-05T06:25:39Z","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":"e7941e1e6ee22a00be41d9d1ef019800645f7717ab320c71a2a09c07bf5e3add","cross_cats_sorted":["physics.comp-ph","physics.soc-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-01-17T05:43:40Z","title_canon_sha256":"774b72d23c83bd5ad2bea478ce604220cc34bbf0e16049587e2fcc7a1a558aa9"},"schema_version":"1.0","source":{"id":"2301.06712","kind":"arxiv","version":2}},"canonical_sha256":"86be2556a581aad3d63bee05d8f38d065224b320f56fbb47a3e4de6a1a58b417","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86be2556a581aad3d63bee05d8f38d065224b320f56fbb47a3e4de6a1a58b417","first_computed_at":"2026-07-05T06:25:39.372291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:25:39.372291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZlyMGgwD+9ppLeZsYeElRjUrqK0xCh0atx9ymajC8n3HXy6BJqX8Lu973870J8W/ZSBs0ywqWpLvgBT6mh/EAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:25:39.372803Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.06712","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67a33f700cfcaa624b12c9556248e8026d47624aec29dc69ff42d26a9dc2b9de","sha256:ec56f3a3b00d1d001963c195a6d6dd83760f1b46917041098fa98fb31c2751dc"],"state_sha256":"bf0103ce0454367c5caa35c0ca7f4e9cf867f20391f2d0badfa30fc84ce667e5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LFXfJf0aE5Lu4clX07BF2BAylmdO3FADGoh/blf4gkGriQhc4oWR2AzsK+cEx5HKBjodI3OfpCK33K179GLZAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-18T16:54:39.168366Z","bundle_sha256":"dfefaa1c3594c16e890220c01f1aafc7b626835579952faad0b7e53c91b00d80"}}