{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7SBAUQ2YQFXN2BJ2LUFT7QQKAI","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":"c06fc8be6bfb394a98d73a3983223b6e6e3f85a13fc6b98f48672cafb2b73990","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-05-09T18:07:23Z","title_canon_sha256":"74cb58588543b7a2ff9753fcadd78a4a4ccc275af872531941ec36eda232dfbc"},"schema_version":"1.0","source":{"id":"1205.2051","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.2051","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"arxiv_version","alias_value":"1205.2051v3","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2051","created_at":"2026-05-18T03:04:06Z"},{"alias_kind":"pith_short_12","alias_value":"7SBAUQ2YQFXN","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7SBAUQ2YQFXN2BJ2","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7SBAUQ2Y","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:99f6d35670070ab797448f82c3094ee7d8d536546b5e3525b96d8245f6049112","target":"graph","created_at":"2026-05-18T03:04:06Z","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":"This work presents a classification of weak models of distributed computing. We focus on deterministic distributed algorithms, and study models of computing that are weaker versions of the widely-studied port-numbering model. In the port-numbering model, a node of degree d receives messages through d input ports and sends messages through d output ports, both numbered with 1,2,...,d. In this work, VVc is the class of all graph problems that can be solved in the standard port-numbering model. We study the following subclasses of VVc:\n  VV: Input port i and output port i are not necessarily conn","authors_text":"Antti Kuusisto, Jonni Virtema, Juhana Laurinharju, Jukka Suomela, Kerkko Luosto, Lauri Hella, Matti J\\\"arvisalo, Tuomo Lempi\\\"ainen","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-05-09T18:07:23Z","title":"Weak Models of Distributed Computing, with Connections to Modal Logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2051","kind":"arxiv","version":3},"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":"sha256:907202b84213199a361920567dd0538a02f5694b112c3489c7afec26af318132","target":"record","created_at":"2026-05-18T03:04:06Z","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":"c06fc8be6bfb394a98d73a3983223b6e6e3f85a13fc6b98f48672cafb2b73990","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-05-09T18:07:23Z","title_canon_sha256":"74cb58588543b7a2ff9753fcadd78a4a4ccc275af872531941ec36eda232dfbc"},"schema_version":"1.0","source":{"id":"1205.2051","kind":"arxiv","version":3}},"canonical_sha256":"fc820a4358816edd053a5d0b3fc20a0229f041504912955645a7adbf6c89345b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc820a4358816edd053a5d0b3fc20a0229f041504912955645a7adbf6c89345b","first_computed_at":"2026-05-18T03:04:06.878043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:06.878043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1cppb9V1O07Z1tpKsCz0zDeNb9toee5NygKqDSW+dsqO7WdJi9SR2sR17q+64C386S/hXoTnvsP9q1/+sISVBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:06.878488Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.2051","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:907202b84213199a361920567dd0538a02f5694b112c3489c7afec26af318132","sha256:99f6d35670070ab797448f82c3094ee7d8d536546b5e3525b96d8245f6049112"],"state_sha256":"5f69596ed56ddace27e1a6d50a053e3e4d5d6f70e735fd03423c8a9e61ef082a"}