{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:OZGJERKALWX5POEFNXBMADDDTL","short_pith_number":"pith:OZGJERKA","schema_version":"1.0","canonical_sha256":"764c9245405dafd7b8856dc2c00c639ac83d76844f51dc655aaaab982671d7b8","source":{"kind":"arxiv","id":"1907.09100","version":1},"attestation_state":"computed","paper":{"title":"Reasoning about Social Choice and Games in Monadic Fixed-Point Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Ramit Das, R. Ramanujam, Sunil Simon","submitted_at":"2019-07-22T03:14:29Z","abstract_excerpt":"Whether it be in normal form games, or in fair allocations, or in voter preferences in voting systems, a certain pattern of reasoning is common. From a particular profile, an agent or a group of agents may have an incentive to shift to a new one. This induces a natural graph structure that we call the improvement graph on the strategy space of these systems. We suggest that the monadic fixed-point logic with counting, an extension of monadic first-order logic on graphs with fixed-point and counting quantifiers, is a natural specification language on improvement graphs, and thus for a class of "},"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":"1907.09100","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2019-07-22T03:14:29Z","cross_cats_sorted":[],"title_canon_sha256":"4c63d2acb0e612604e74ceda4276c4015e1871e5ebf256839563c09703859d99","abstract_canon_sha256":"3617c357cd3fe8e3f13776873e74bc6d141adf42cb08bb3ed6cc708b2d62a0e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:00.170610Z","signature_b64":"4nvTAeA3Ez0vJr+4FyDUfY5gEmgLkoaJLlIklXOeaHTpHNuHrOac33Ec7617Pa+mGuIbBbH2zczmB1URY42hCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"764c9245405dafd7b8856dc2c00c639ac83d76844f51dc655aaaab982671d7b8","last_reissued_at":"2026-05-17T23:40:00.170089Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:00.170089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reasoning about Social Choice and Games in Monadic Fixed-Point Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Ramit Das, R. Ramanujam, Sunil Simon","submitted_at":"2019-07-22T03:14:29Z","abstract_excerpt":"Whether it be in normal form games, or in fair allocations, or in voter preferences in voting systems, a certain pattern of reasoning is common. From a particular profile, an agent or a group of agents may have an incentive to shift to a new one. This induces a natural graph structure that we call the improvement graph on the strategy space of these systems. We suggest that the monadic fixed-point logic with counting, an extension of monadic first-order logic on graphs with fixed-point and counting quantifiers, is a natural specification language on improvement graphs, and thus for a class of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.09100","kind":"arxiv","version":1},"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":"1907.09100","created_at":"2026-05-17T23:40:00.170160+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.09100v1","created_at":"2026-05-17T23:40:00.170160+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.09100","created_at":"2026-05-17T23:40:00.170160+00:00"},{"alias_kind":"pith_short_12","alias_value":"OZGJERKALWX5","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"OZGJERKALWX5POEF","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"OZGJERKA","created_at":"2026-05-18T12:33:24.271573+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/OZGJERKALWX5POEFNXBMADDDTL","json":"https://pith.science/pith/OZGJERKALWX5POEFNXBMADDDTL.json","graph_json":"https://pith.science/api/pith-number/OZGJERKALWX5POEFNXBMADDDTL/graph.json","events_json":"https://pith.science/api/pith-number/OZGJERKALWX5POEFNXBMADDDTL/events.json","paper":"https://pith.science/paper/OZGJERKA"},"agent_actions":{"view_html":"https://pith.science/pith/OZGJERKALWX5POEFNXBMADDDTL","download_json":"https://pith.science/pith/OZGJERKALWX5POEFNXBMADDDTL.json","view_paper":"https://pith.science/paper/OZGJERKA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.09100&json=true","fetch_graph":"https://pith.science/api/pith-number/OZGJERKALWX5POEFNXBMADDDTL/graph.json","fetch_events":"https://pith.science/api/pith-number/OZGJERKALWX5POEFNXBMADDDTL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OZGJERKALWX5POEFNXBMADDDTL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OZGJERKALWX5POEFNXBMADDDTL/action/storage_attestation","attest_author":"https://pith.science/pith/OZGJERKALWX5POEFNXBMADDDTL/action/author_attestation","sign_citation":"https://pith.science/pith/OZGJERKALWX5POEFNXBMADDDTL/action/citation_signature","submit_replication":"https://pith.science/pith/OZGJERKALWX5POEFNXBMADDDTL/action/replication_record"}},"created_at":"2026-05-17T23:40:00.170160+00:00","updated_at":"2026-05-17T23:40:00.170160+00:00"}