{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MVFX76YCEVLOL7IJVBKGUDBBHQ","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":"94324acde0ed5c70f693749957edf9914d4be4b1e1b5dec993dad2a54ebf6bdf","cross_cats_sorted":["cs.GT","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-08-13T19:48:00Z","title_canon_sha256":"b06a62dd336d5651b78d363592035c852e89ff0014b314883c31f818faa932e9"},"schema_version":"1.0","source":{"id":"1508.03325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.03325","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"arxiv_version","alias_value":"1508.03325v1","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.03325","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"pith_short_12","alias_value":"MVFX76YCEVLO","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MVFX76YCEVLOL7IJ","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MVFX76YC","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:2fd831cf3267127dbc02a4c33db1676776d9fa1c1432f6d4fb6465e5cde59e9f","target":"graph","created_at":"2026-05-18T01:35:21Z","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":"Inspired by the fact that people have diverse propensities to punish wrongdoers, we study a spatial public goods game with defectors and different types of punishing cooperators. During the game, cooperators punish defectors with class-specific probabilities and subsequently share the associated costs of sanctioning. We show that in the presence of different punishing cooperators the highest level of public cooperation is always attainable through a selection mechanism. Interestingly, the selection not necessarily favors the evolution of punishers who would be able to prevail on their own agai","authors_text":"Attila Szolnoki, Matjaz Perc, Xiaojie Chen","cross_cats":["cs.GT","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-08-13T19:48:00Z","title":"Competition and cooperation among different punishing strategies in the spatial public goods game"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.03325","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:f2af2db0199e57b951b98583568c9eea96a8798e64843e1b6c3185ac6999be78","target":"record","created_at":"2026-05-18T01:35:21Z","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":"94324acde0ed5c70f693749957edf9914d4be4b1e1b5dec993dad2a54ebf6bdf","cross_cats_sorted":["cs.GT","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2015-08-13T19:48:00Z","title_canon_sha256":"b06a62dd336d5651b78d363592035c852e89ff0014b314883c31f818faa932e9"},"schema_version":"1.0","source":{"id":"1508.03325","kind":"arxiv","version":1}},"canonical_sha256":"654b7ffb022556e5fd09a8546a0c213c33e2d236923be6b4a39c4d60ea7be902","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"654b7ffb022556e5fd09a8546a0c213c33e2d236923be6b4a39c4d60ea7be902","first_computed_at":"2026-05-18T01:35:21.087427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:21.087427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VSdqZcquP/Q9kglNjyEM9U6UTOqM383kntRePk29m8rVG7oyJJCUkqcljwRP8mIOU1vdM8ssrU6x7PeKXQHABA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:21.088125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.03325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2af2db0199e57b951b98583568c9eea96a8798e64843e1b6c3185ac6999be78","sha256:2fd831cf3267127dbc02a4c33db1676776d9fa1c1432f6d4fb6465e5cde59e9f"],"state_sha256":"31a28b3c1b72b007716330c38a8f47a1c534f0088679df9f46a1c89af9cbda50"}