{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:J66KD55YG5QAUD2TUZICTEFGQQ","short_pith_number":"pith:J66KD55Y","canonical_record":{"source":{"id":"2301.02889","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2023-01-07T16:32:22Z","cross_cats_sorted":[],"title_canon_sha256":"e5b7281b31a2a9513d5938b274549c3a024877d338dacab6d49ec698193b9c4d","abstract_canon_sha256":"982817c4500ae4a01f6f0390111c13ff5490f0ef8acad58f0f192d18bf2aa356"},"schema_version":"1.0"},"canonical_sha256":"4fbca1f7b837600a0f53a6502990a68408437229d9be37216000d815b0926caa","source":{"kind":"arxiv","id":"2301.02889","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.02889","created_at":"2026-07-05T08:02:19Z"},{"alias_kind":"arxiv_version","alias_value":"2301.02889v5","created_at":"2026-07-05T08:02:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.02889","created_at":"2026-07-05T08:02:19Z"},{"alias_kind":"pith_short_12","alias_value":"J66KD55YG5QA","created_at":"2026-07-05T08:02:19Z"},{"alias_kind":"pith_short_16","alias_value":"J66KD55YG5QAUD2T","created_at":"2026-07-05T08:02:19Z"},{"alias_kind":"pith_short_8","alias_value":"J66KD55Y","created_at":"2026-07-05T08:02:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:J66KD55YG5QAUD2TUZICTEFGQQ","target":"record","payload":{"canonical_record":{"source":{"id":"2301.02889","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2023-01-07T16:32:22Z","cross_cats_sorted":[],"title_canon_sha256":"e5b7281b31a2a9513d5938b274549c3a024877d338dacab6d49ec698193b9c4d","abstract_canon_sha256":"982817c4500ae4a01f6f0390111c13ff5490f0ef8acad58f0f192d18bf2aa356"},"schema_version":"1.0"},"canonical_sha256":"4fbca1f7b837600a0f53a6502990a68408437229d9be37216000d815b0926caa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:02:19.602260Z","signature_b64":"qHQqjub7ZW4wDJTDoVNWm4TsoBazeDmmOy/MpLGN0k4LGEY6X57zFvH7Xu/Kpq36s/3EqwBOj8gBmWJrzXU5DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fbca1f7b837600a0f53a6502990a68408437229d9be37216000d815b0926caa","last_reissued_at":"2026-07-05T08:02:19.601829Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:02:19.601829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.02889","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:02:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tls22l2JuQ3P+ZHzDPgrPDR5nZirSgLy2qbAMBybuu0ZERQ9a5s9IRS5PPs8ov5b8AsNW84v3VrIZczb3iLNBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T14:01:49.689421Z"},"content_sha256":"a65e9973e79ce059cf7355159d013090af278bb11b17cd289a3cfc57a4036466","schema_version":"1.0","event_id":"sha256:a65e9973e79ce059cf7355159d013090af278bb11b17cd289a3cfc57a4036466"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:J66KD55YG5QAUD2TUZICTEFGQQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Networked Anti-Coordination Games Meet Graphical Dynamical Systems: Equilibria and Convergence","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Anil Vullikanti, Chen Chen, Daniel J. Rosenkrantz, Madhav V. Marathe, Richard E. Stearns, S. S. Ravi, Zirou Qiu","submitted_at":"2023-01-07T16:32:22Z","abstract_excerpt":"Evolutionary anti-coordination games on networks capture real-world strategic situations such as traffic routing and market competition. In such games, agents maximize their utility by choosing actions that differ from their neighbors' actions. Two important problems concerning evolutionary games are the existence of a pure Nash equilibrium (NE) and the convergence time of the dynamics. In this work, we study these two problems for anti-coordination games under sequential and synchronous update schemes. For each update scheme, we examine two decision modes based on whether an agent considers i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.02889","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2301.02889/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:02:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3kRtMt6gVy4AuNoOYTQne0LYa/gYq7u1EgOG/uJSf/+mSva/RmbrvcF8B8ASOICX2Wu9s5rUrjVoZGTBuYO9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T14:01:49.690131Z"},"content_sha256":"624ac4f38481f5a9f605bf81eea482c108f6e93a84e83f42cf6f8222d5f8cb32","schema_version":"1.0","event_id":"sha256:624ac4f38481f5a9f605bf81eea482c108f6e93a84e83f42cf6f8222d5f8cb32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J66KD55YG5QAUD2TUZICTEFGQQ/bundle.json","state_url":"https://pith.science/pith/J66KD55YG5QAUD2TUZICTEFGQQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J66KD55YG5QAUD2TUZICTEFGQQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-20T14:01:49Z","links":{"resolver":"https://pith.science/pith/J66KD55YG5QAUD2TUZICTEFGQQ","bundle":"https://pith.science/pith/J66KD55YG5QAUD2TUZICTEFGQQ/bundle.json","state":"https://pith.science/pith/J66KD55YG5QAUD2TUZICTEFGQQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J66KD55YG5QAUD2TUZICTEFGQQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:J66KD55YG5QAUD2TUZICTEFGQQ","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":"982817c4500ae4a01f6f0390111c13ff5490f0ef8acad58f0f192d18bf2aa356","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2023-01-07T16:32:22Z","title_canon_sha256":"e5b7281b31a2a9513d5938b274549c3a024877d338dacab6d49ec698193b9c4d"},"schema_version":"1.0","source":{"id":"2301.02889","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.02889","created_at":"2026-07-05T08:02:19Z"},{"alias_kind":"arxiv_version","alias_value":"2301.02889v5","created_at":"2026-07-05T08:02:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.02889","created_at":"2026-07-05T08:02:19Z"},{"alias_kind":"pith_short_12","alias_value":"J66KD55YG5QA","created_at":"2026-07-05T08:02:19Z"},{"alias_kind":"pith_short_16","alias_value":"J66KD55YG5QAUD2T","created_at":"2026-07-05T08:02:19Z"},{"alias_kind":"pith_short_8","alias_value":"J66KD55Y","created_at":"2026-07-05T08:02:19Z"}],"graph_snapshots":[{"event_id":"sha256:624ac4f38481f5a9f605bf81eea482c108f6e93a84e83f42cf6f8222d5f8cb32","target":"graph","created_at":"2026-07-05T08:02:19Z","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/2301.02889/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Evolutionary anti-coordination games on networks capture real-world strategic situations such as traffic routing and market competition. In such games, agents maximize their utility by choosing actions that differ from their neighbors' actions. Two important problems concerning evolutionary games are the existence of a pure Nash equilibrium (NE) and the convergence time of the dynamics. In this work, we study these two problems for anti-coordination games under sequential and synchronous update schemes. For each update scheme, we examine two decision modes based on whether an agent considers i","authors_text":"Anil Vullikanti, Chen Chen, Daniel J. Rosenkrantz, Madhav V. Marathe, Richard E. Stearns, S. S. Ravi, Zirou Qiu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2023-01-07T16:32:22Z","title":"Networked Anti-Coordination Games Meet Graphical Dynamical Systems: Equilibria and Convergence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.02889","kind":"arxiv","version":5},"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:a65e9973e79ce059cf7355159d013090af278bb11b17cd289a3cfc57a4036466","target":"record","created_at":"2026-07-05T08:02:19Z","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":"982817c4500ae4a01f6f0390111c13ff5490f0ef8acad58f0f192d18bf2aa356","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2023-01-07T16:32:22Z","title_canon_sha256":"e5b7281b31a2a9513d5938b274549c3a024877d338dacab6d49ec698193b9c4d"},"schema_version":"1.0","source":{"id":"2301.02889","kind":"arxiv","version":5}},"canonical_sha256":"4fbca1f7b837600a0f53a6502990a68408437229d9be37216000d815b0926caa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fbca1f7b837600a0f53a6502990a68408437229d9be37216000d815b0926caa","first_computed_at":"2026-07-05T08:02:19.601829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:02:19.601829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qHQqjub7ZW4wDJTDoVNWm4TsoBazeDmmOy/MpLGN0k4LGEY6X57zFvH7Xu/Kpq36s/3EqwBOj8gBmWJrzXU5DA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:02:19.602260Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.02889","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a65e9973e79ce059cf7355159d013090af278bb11b17cd289a3cfc57a4036466","sha256:624ac4f38481f5a9f605bf81eea482c108f6e93a84e83f42cf6f8222d5f8cb32"],"state_sha256":"1b0654eacf47dd2c5e833f8287eacfdfc7e6ffc925801c42b0fd590078c4fe1b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CxqavMwB6ijImvo4PmzOfdJ40QqVWu/6Ul7bN/Uhyn6SYiPn3ije7aKs/nNeIcwvHHsVTmhopAbGAifZJPRHCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T14:01:49.696727Z","bundle_sha256":"c095182b439e7cab01cd2a178c2edab9e2179526fd78283bc3163918d05f0614"}}