{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QB52TO5XNYDXQS4DN72AWIULWT","short_pith_number":"pith:QB52TO5X","canonical_record":{"source":{"id":"1110.6246","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-28T04:30:58Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"39ff109eab0989373247289bc1d0ddebb0297fbc7acd2331e82043148994c43a","abstract_canon_sha256":"11a17b2d861873d59851d2b1c61aac6841bafa0ee07732967c328b1c41ff78f9"},"schema_version":"1.0"},"canonical_sha256":"807ba9bbb76e07784b836ff40b228bb4d70e58af33ea8fdb375fe2b4a82b0236","source":{"kind":"arxiv","id":"1110.6246","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6246","created_at":"2026-05-18T04:09:57Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6246v1","created_at":"2026-05-18T04:09:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6246","created_at":"2026-05-18T04:09:57Z"},{"alias_kind":"pith_short_12","alias_value":"QB52TO5XNYDX","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QB52TO5XNYDXQS4D","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QB52TO5X","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QB52TO5XNYDXQS4DN72AWIULWT","target":"record","payload":{"canonical_record":{"source":{"id":"1110.6246","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-28T04:30:58Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"39ff109eab0989373247289bc1d0ddebb0297fbc7acd2331e82043148994c43a","abstract_canon_sha256":"11a17b2d861873d59851d2b1c61aac6841bafa0ee07732967c328b1c41ff78f9"},"schema_version":"1.0"},"canonical_sha256":"807ba9bbb76e07784b836ff40b228bb4d70e58af33ea8fdb375fe2b4a82b0236","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:57.304677Z","signature_b64":"q3gMKUkiQyAMefLc57U1B0DtnKNPAPykgWnUGY+0QVAbf9sLotvYcag6HvT/6dOPBcLQ22eVg+bobFtS2pcJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"807ba9bbb76e07784b836ff40b228bb4d70e58af33ea8fdb375fe2b4a82b0236","last_reissued_at":"2026-05-18T04:09:57.303922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:57.303922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.6246","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:09:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3FJpo1sVS65fsOG0PkFAKABiTF8gWfRUpPfV6TH2bDlKILWQXK1ybKCr1i0YZ4VexEh8HjBpYixOc5UfaeYsCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T22:13:00.168492Z"},"content_sha256":"c5c692b6072ede55ee909a2dc10f27dfdb3672c56f5d31ce54c4dd7055458f05","schema_version":"1.0","event_id":"sha256:c5c692b6072ede55ee909a2dc10f27dfdb3672c56f5d31ce54c4dd7055458f05"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QB52TO5XNYDXQS4DN72AWIULWT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deterministic monotone dynamics and dominated strategies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.OC","authors_text":"Yannick Viossat (CEREMADE)","submitted_at":"2011-10-28T04:30:58Z","abstract_excerpt":"We survey and unify results on elimination of dominated strategies by monotonic dynamics and prove some new results that may be seen as dual to those of Hofbauer and Weibull (J. Econ. Theory, 1996, 558-573) on convex monotonic dynamics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6246","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:09:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wEVXZ3c80O/NI6fOYp92nhlQrDf1O8Pt7ssuFJUgI9QOZ5+lLupDHz0yQl005q3ALFuKIr3BqTHvLGinlAEDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T22:13:00.168830Z"},"content_sha256":"5de3cfe41dc49b3e5bc073828343a17765ca6e55771621c57666c71129f223e5","schema_version":"1.0","event_id":"sha256:5de3cfe41dc49b3e5bc073828343a17765ca6e55771621c57666c71129f223e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QB52TO5XNYDXQS4DN72AWIULWT/bundle.json","state_url":"https://pith.science/pith/QB52TO5XNYDXQS4DN72AWIULWT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QB52TO5XNYDXQS4DN72AWIULWT/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":"2026-07-02T22:13:00Z","links":{"resolver":"https://pith.science/pith/QB52TO5XNYDXQS4DN72AWIULWT","bundle":"https://pith.science/pith/QB52TO5XNYDXQS4DN72AWIULWT/bundle.json","state":"https://pith.science/pith/QB52TO5XNYDXQS4DN72AWIULWT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QB52TO5XNYDXQS4DN72AWIULWT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QB52TO5XNYDXQS4DN72AWIULWT","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":"11a17b2d861873d59851d2b1c61aac6841bafa0ee07732967c328b1c41ff78f9","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-28T04:30:58Z","title_canon_sha256":"39ff109eab0989373247289bc1d0ddebb0297fbc7acd2331e82043148994c43a"},"schema_version":"1.0","source":{"id":"1110.6246","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.6246","created_at":"2026-05-18T04:09:57Z"},{"alias_kind":"arxiv_version","alias_value":"1110.6246v1","created_at":"2026-05-18T04:09:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.6246","created_at":"2026-05-18T04:09:57Z"},{"alias_kind":"pith_short_12","alias_value":"QB52TO5XNYDX","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QB52TO5XNYDXQS4D","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QB52TO5X","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:5de3cfe41dc49b3e5bc073828343a17765ca6e55771621c57666c71129f223e5","target":"graph","created_at":"2026-05-18T04:09:57Z","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":"We survey and unify results on elimination of dominated strategies by monotonic dynamics and prove some new results that may be seen as dual to those of Hofbauer and Weibull (J. Econ. Theory, 1996, 558-573) on convex monotonic dynamics.","authors_text":"Yannick Viossat (CEREMADE)","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-28T04:30:58Z","title":"Deterministic monotone dynamics and dominated strategies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.6246","kind":"arxiv","version":1},"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:c5c692b6072ede55ee909a2dc10f27dfdb3672c56f5d31ce54c4dd7055458f05","target":"record","created_at":"2026-05-18T04:09:57Z","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":"11a17b2d861873d59851d2b1c61aac6841bafa0ee07732967c328b1c41ff78f9","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-10-28T04:30:58Z","title_canon_sha256":"39ff109eab0989373247289bc1d0ddebb0297fbc7acd2331e82043148994c43a"},"schema_version":"1.0","source":{"id":"1110.6246","kind":"arxiv","version":1}},"canonical_sha256":"807ba9bbb76e07784b836ff40b228bb4d70e58af33ea8fdb375fe2b4a82b0236","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"807ba9bbb76e07784b836ff40b228bb4d70e58af33ea8fdb375fe2b4a82b0236","first_computed_at":"2026-05-18T04:09:57.303922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:57.303922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q3gMKUkiQyAMefLc57U1B0DtnKNPAPykgWnUGY+0QVAbf9sLotvYcag6HvT/6dOPBcLQ22eVg+bobFtS2pcJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:57.304677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.6246","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5c692b6072ede55ee909a2dc10f27dfdb3672c56f5d31ce54c4dd7055458f05","sha256:5de3cfe41dc49b3e5bc073828343a17765ca6e55771621c57666c71129f223e5"],"state_sha256":"e8c7810a503a0ccfad78bc734cfc11048020551cb9be69d8ef4fb2190076e5bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4JbAvT8JqRnrm/zlrR1728t8Al6VilheY2xgJSXc4xV9YNvaZKUOLW9G2pLLvpwYpXWsefk+7rmrkdq84pRWBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T22:13:00.170707Z","bundle_sha256":"fd5e0f4bed3514377494c28c5326af9b4d73c943d12b29c8cbfcff6054452130"}}