{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:6O7YNPORPKB5NYM7KI3RIBY62B","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":"a6aca6cb5496aed57689c8c751cacc9f25aab1498528522db49e0a550da67745","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2022-04-29T20:35:00Z","title_canon_sha256":"dacfe14197399469c6432ff1274967813199bc4ae488e3503de49b2212f73769"},"schema_version":"1.0","source":{"id":"2205.00071","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.00071","created_at":"2026-07-05T06:17:37Z"},{"alias_kind":"arxiv_version","alias_value":"2205.00071v2","created_at":"2026-07-05T06:17:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.00071","created_at":"2026-07-05T06:17:37Z"},{"alias_kind":"pith_short_12","alias_value":"6O7YNPORPKB5","created_at":"2026-07-05T06:17:37Z"},{"alias_kind":"pith_short_16","alias_value":"6O7YNPORPKB5NYM7","created_at":"2026-07-05T06:17:37Z"},{"alias_kind":"pith_short_8","alias_value":"6O7YNPOR","created_at":"2026-07-05T06:17:37Z"}],"graph_snapshots":[{"event_id":"sha256:61cfb7c7f72bb22cef245fcc9f915c64df56cfacff27c9033bf4cd5251723485","target":"graph","created_at":"2026-07-05T06:17:37Z","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/2205.00071/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the field of complex networks, hypergraph models have so far received significantly less attention than graphs. However, many real-life networks feature multiary relations (co-authorship, protein reactions) may therefore be modeled way better by hypergraphs. Also, a recent study by Broido and Clauset suggests that a power-law degree distribution is not as ubiquitous in the natural systems as it was thought so far. They experimentally confirm that a majority of networks (56% of around 1000 networks that undergone the test) favor a power-law with an exponential cutoff over other distributions","authors_text":"Fr\\'ed\\'eric Giroire, Kostiantyn Ohulchanskyi, Ma{\\l}gorzata Sulkowska, Nicolas Nisse, Thibaud Trolliet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2022-04-29T20:35:00Z","title":"Preferential attachment hypergraph with vertex deactivation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.00071","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":"sha256:7052f2baf4a57c6d0f8b74484e2df7884db48bdb33a79e968baffd5148e1f671","target":"record","created_at":"2026-07-05T06:17:37Z","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":"a6aca6cb5496aed57689c8c751cacc9f25aab1498528522db49e0a550da67745","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2022-04-29T20:35:00Z","title_canon_sha256":"dacfe14197399469c6432ff1274967813199bc4ae488e3503de49b2212f73769"},"schema_version":"1.0","source":{"id":"2205.00071","kind":"arxiv","version":2}},"canonical_sha256":"f3bf86bdd17a83d6e19f523714071ed0715dbd1351617cf3812d925751123a5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3bf86bdd17a83d6e19f523714071ed0715dbd1351617cf3812d925751123a5e","first_computed_at":"2026-07-05T06:17:37.352329Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:17:37.352329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f1nNLlTZQjJS/m2i9lr8qqCMVfUeBZFX8nKgSG31dZH6mW1gKdGtk9zvVC01uwp01R3wb9m2mGgZm/WbAD6XAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:17:37.352837Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.00071","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7052f2baf4a57c6d0f8b74484e2df7884db48bdb33a79e968baffd5148e1f671","sha256:61cfb7c7f72bb22cef245fcc9f915c64df56cfacff27c9033bf4cd5251723485"],"state_sha256":"4416eb6f14a0896e2444552ab98139f131441ed50cb9343b16040e3cac5e751d"}