{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5A74LGLRHBAEIYJBSYD6MDD73E","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":"538708a45b13c84080cd47c977b5530ecc2188742bdb9a7f1805eaedf2dd10a8","cross_cats_sorted":["cs.SI","math.PR","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-08-17T00:56:55Z","title_canon_sha256":"b7920470d0f475aade0ca923387abcc03275f39057a411fa1d8f744ef140c9cc"},"schema_version":"1.0","source":{"id":"1508.03890","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.03890","created_at":"2026-05-18T01:35:14Z"},{"alias_kind":"arxiv_version","alias_value":"1508.03890v1","created_at":"2026-05-18T01:35:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.03890","created_at":"2026-05-18T01:35:14Z"},{"alias_kind":"pith_short_12","alias_value":"5A74LGLRHBAE","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5A74LGLRHBAEIYJB","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5A74LGLR","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:918ecba07e9babb43834571fe1e22241c78951929d4a0953cd7f37a74ea0c28f","target":"graph","created_at":"2026-05-18T01:35:14Z","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":"There has been growing interest in studies of general random intersection graphs. In this paper, we consider a general random intersection graph $\\mathbb{G}(n,\\overrightarrow{a}, \\overrightarrow{K_n},P_n)$ defined on a set $\\mathcal{V}_n$ comprising $n$ vertices, where $\\overrightarrow{a}$ is a probability vector $(a_1,a_2,\\ldots,a_m)$ and $\\overrightarrow{K_n}$ is $(K_{1,n},K_{2,n},\\ldots,K_{m,n})$. This graph has been studied in the literature including a most recent work by Ya\\u{g}an [arXiv:1508.02407]. Suppose there is a pool $\\mathcal{P}_n$ consisting of $P_n$ distinct objects. The $n$ ve","authors_text":"Jun Zhao","cross_cats":["cs.SI","math.PR","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-08-17T00:56:55Z","title":"On connectivity in a general random intersection graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.03890","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:e864b14a5642a0da237ba5a7f1d4be226ba1c4c8e48d400ef684ea24d3fdd8f7","target":"record","created_at":"2026-05-18T01:35:14Z","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":"538708a45b13c84080cd47c977b5530ecc2188742bdb9a7f1805eaedf2dd10a8","cross_cats_sorted":["cs.SI","math.PR","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-08-17T00:56:55Z","title_canon_sha256":"b7920470d0f475aade0ca923387abcc03275f39057a411fa1d8f744ef140c9cc"},"schema_version":"1.0","source":{"id":"1508.03890","kind":"arxiv","version":1}},"canonical_sha256":"e83fc5997138404461219607e60c7fd90f1341ce21da5201c4fca22015055fba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e83fc5997138404461219607e60c7fd90f1341ce21da5201c4fca22015055fba","first_computed_at":"2026-05-18T01:35:14.970855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:14.970855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0NrhrMtzVtjnqbumtY3gMMfYSsBn9a1PKyR5HkROiFDUWCPWo3mLRPk7NX/TUhSbztM2d0PZhjS5Azmk9n0EBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:14.971296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.03890","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e864b14a5642a0da237ba5a7f1d4be226ba1c4c8e48d400ef684ea24d3fdd8f7","sha256:918ecba07e9babb43834571fe1e22241c78951929d4a0953cd7f37a74ea0c28f"],"state_sha256":"9635327fe6fd4a7398d9038c66447905b951c686db23385dd113b33fd1e2f750"}