{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:7SBAUQ2YQFXN2BJ2LUFT7QQKAI","short_pith_number":"pith:7SBAUQ2Y","schema_version":"1.0","canonical_sha256":"fc820a4358816edd053a5d0b3fc20a0229f041504912955645a7adbf6c89345b","source":{"kind":"arxiv","id":"1205.2051","version":3},"attestation_state":"computed","paper":{"title":"Weak Models of Distributed Computing, with Connections to Modal Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.DC","authors_text":"Antti Kuusisto, Jonni Virtema, Juhana Laurinharju, Jukka Suomela, Kerkko Luosto, Lauri Hella, Matti J\\\"arvisalo, Tuomo Lempi\\\"ainen","submitted_at":"2012-05-09T18:07:23Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1205.2051","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-05-09T18:07:23Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"74cb58588543b7a2ff9753fcadd78a4a4ccc275af872531941ec36eda232dfbc","abstract_canon_sha256":"c06fc8be6bfb394a98d73a3983223b6e6e3f85a13fc6b98f48672cafb2b73990"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:06.878488Z","signature_b64":"1cppb9V1O07Z1tpKsCz0zDeNb9toee5NygKqDSW+dsqO7WdJi9SR2sR17q+64C386S/hXoTnvsP9q1/+sISVBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc820a4358816edd053a5d0b3fc20a0229f041504912955645a7adbf6c89345b","last_reissued_at":"2026-05-18T03:04:06.878043Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:06.878043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weak Models of Distributed Computing, with Connections to Modal Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.DC","authors_text":"Antti Kuusisto, Jonni Virtema, Juhana Laurinharju, Jukka Suomela, Kerkko Luosto, Lauri Hella, Matti J\\\"arvisalo, Tuomo Lempi\\\"ainen","submitted_at":"2012-05-09T18:07:23Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.2051","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1205.2051","created_at":"2026-05-18T03:04:06.878107+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.2051v3","created_at":"2026-05-18T03:04:06.878107+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.2051","created_at":"2026-05-18T03:04:06.878107+00:00"},{"alias_kind":"pith_short_12","alias_value":"7SBAUQ2YQFXN","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"7SBAUQ2YQFXN2BJ2","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"7SBAUQ2Y","created_at":"2026-05-18T12:26:58.693483+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7SBAUQ2YQFXN2BJ2LUFT7QQKAI","json":"https://pith.science/pith/7SBAUQ2YQFXN2BJ2LUFT7QQKAI.json","graph_json":"https://pith.science/api/pith-number/7SBAUQ2YQFXN2BJ2LUFT7QQKAI/graph.json","events_json":"https://pith.science/api/pith-number/7SBAUQ2YQFXN2BJ2LUFT7QQKAI/events.json","paper":"https://pith.science/paper/7SBAUQ2Y"},"agent_actions":{"view_html":"https://pith.science/pith/7SBAUQ2YQFXN2BJ2LUFT7QQKAI","download_json":"https://pith.science/pith/7SBAUQ2YQFXN2BJ2LUFT7QQKAI.json","view_paper":"https://pith.science/paper/7SBAUQ2Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.2051&json=true","fetch_graph":"https://pith.science/api/pith-number/7SBAUQ2YQFXN2BJ2LUFT7QQKAI/graph.json","fetch_events":"https://pith.science/api/pith-number/7SBAUQ2YQFXN2BJ2LUFT7QQKAI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7SBAUQ2YQFXN2BJ2LUFT7QQKAI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7SBAUQ2YQFXN2BJ2LUFT7QQKAI/action/storage_attestation","attest_author":"https://pith.science/pith/7SBAUQ2YQFXN2BJ2LUFT7QQKAI/action/author_attestation","sign_citation":"https://pith.science/pith/7SBAUQ2YQFXN2BJ2LUFT7QQKAI/action/citation_signature","submit_replication":"https://pith.science/pith/7SBAUQ2YQFXN2BJ2LUFT7QQKAI/action/replication_record"}},"created_at":"2026-05-18T03:04:06.878107+00:00","updated_at":"2026-05-18T03:04:06.878107+00:00"}