{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:PKMIKDKEERB7ORA6MOIYPM2ODH","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":"0dc72bdd25379dd2e7eb44f4ae069382b6d721ab03e3b43b6dfe7670806e08af","cross_cats_sorted":["math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2020-12-11T15:11:36Z","title_canon_sha256":"4b7f39ab06c34d6d51ba71fac5aeadf39c02f601cad7fe9fd6ea29225c65f157"},"schema_version":"1.0","source":{"id":"2012.06415","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.06415","created_at":"2026-07-05T02:20:31Z"},{"alias_kind":"arxiv_version","alias_value":"2012.06415v2","created_at":"2026-07-05T02:20:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.06415","created_at":"2026-07-05T02:20:31Z"},{"alias_kind":"pith_short_12","alias_value":"PKMIKDKEERB7","created_at":"2026-07-05T02:20:31Z"},{"alias_kind":"pith_short_16","alias_value":"PKMIKDKEERB7ORA6","created_at":"2026-07-05T02:20:31Z"},{"alias_kind":"pith_short_8","alias_value":"PKMIKDKE","created_at":"2026-07-05T02:20:31Z"}],"graph_snapshots":[{"event_id":"sha256:2ede54d964e14736ed51772e3e8630c7a79174370a4ac900ffac13a41d0f14df","target":"graph","created_at":"2026-07-05T02:20:31Z","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/2012.06415/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study site and bond percolation on directed simple random graphs with a given degree distribution and derive the expressions for the critical value of the percolation probability above which the giant strongly connected component emerges and the fraction of vertices in this component.","authors_text":"Femke van Ieperen, Ivan Kryven","cross_cats":["math.PR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2020-12-11T15:11:36Z","title":"Percolation of a strongly connected component in simple directed random graphs with a given degree distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.06415","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":"sha256:7b522586ab645dea7a01584274fff2ccad74b34c3e37045571e5038f4102206b","target":"record","created_at":"2026-07-05T02:20:31Z","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":"0dc72bdd25379dd2e7eb44f4ae069382b6d721ab03e3b43b6dfe7670806e08af","cross_cats_sorted":["math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2020-12-11T15:11:36Z","title_canon_sha256":"4b7f39ab06c34d6d51ba71fac5aeadf39c02f601cad7fe9fd6ea29225c65f157"},"schema_version":"1.0","source":{"id":"2012.06415","kind":"arxiv","version":2}},"canonical_sha256":"7a98850d442443f7441e639187b34e19c23399c1d088c954dcd9149581270d44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a98850d442443f7441e639187b34e19c23399c1d088c954dcd9149581270d44","first_computed_at":"2026-07-05T02:20:31.271404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:20:31.271404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4mwxNk8n+x/vDeQGkv0p5gSgNpbcF0AhOHm9TTjQYIpfz5ZSrrwBcVHulUq1tZ56tusJgTRpIL3ppHtdbYwgAA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:20:31.271793Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.06415","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b522586ab645dea7a01584274fff2ccad74b34c3e37045571e5038f4102206b","sha256:2ede54d964e14736ed51772e3e8630c7a79174370a4ac900ffac13a41d0f14df"],"state_sha256":"b27568bd2c33a40174e36e754201ea66f4c258345de6ff142cd6517a997aadba"}