{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5O7DNVS47FXFL7YXAR524BEK7N","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":"ad722ebfe819542ff45f922136a83af58112f616dbb81ebfdcf5228e3f713a15","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-02-03T08:47:38Z","title_canon_sha256":"e1a424174b5f51835ba6fda8504053b76b989c4f819e6f3f50e1f9ea73700787"},"schema_version":"1.0","source":{"id":"1102.0624","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0624","created_at":"2026-05-18T04:27:17Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0624v1","created_at":"2026-05-18T04:27:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0624","created_at":"2026-05-18T04:27:17Z"},{"alias_kind":"pith_short_12","alias_value":"5O7DNVS47FXF","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5O7DNVS47FXFL7YX","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5O7DNVS4","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:49c35042c482213bc96b4084323909a08ae7c0f8a185137df8fd3d009a1456bd","target":"graph","created_at":"2026-05-18T04:27:17Z","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":"The efficiency of institutionalized punishment is studied by evaluating the stationary states in the spatial public goods game comprising unconditional defectors, cooperators, and cooperating pool-punishers as the three competing strategies. Fine and cost of pool-punishment are considered as the two main parameters determining the stationary distributions of strategies on the square lattice. Each player collects its payoff from five five-person public goods games, and the evolution of strategies is subsequently governed by imitation based on pairwise comparisons at a low level of noise. The im","authors_text":"Attila Szolnoki, Gyorgy Szabo, Matjaz Perc","cross_cats":["cond-mat.stat-mech","physics.bio-ph","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-02-03T08:47:38Z","title":"Phase diagrams for the spatial public goods game with pool-punishment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0624","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":"sha256:560a91dd45fe3178110d0df00743c4751adead8f55c6e284d4c9a2a916613d6e","target":"record","created_at":"2026-05-18T04:27:17Z","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":"ad722ebfe819542ff45f922136a83af58112f616dbb81ebfdcf5228e3f713a15","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-02-03T08:47:38Z","title_canon_sha256":"e1a424174b5f51835ba6fda8504053b76b989c4f819e6f3f50e1f9ea73700787"},"schema_version":"1.0","source":{"id":"1102.0624","kind":"arxiv","version":1}},"canonical_sha256":"ebbe36d65cf96e55ff17047bae048afb5861c2e815f0bb04f7393d54e3d61b05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebbe36d65cf96e55ff17047bae048afb5861c2e815f0bb04f7393d54e3d61b05","first_computed_at":"2026-05-18T04:27:17.537743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:17.537743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1fD6y3lSuMHGmPATcjEGcTdnNGRjORsyk47YnAiVZwyv2esrsesm2qeTCozhhYZP61So9se4GH/JNdS6vtB6DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:17.538241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.0624","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:560a91dd45fe3178110d0df00743c4751adead8f55c6e284d4c9a2a916613d6e","sha256:49c35042c482213bc96b4084323909a08ae7c0f8a185137df8fd3d009a1456bd"],"state_sha256":"6d01239e9a387c5548446d93f64ea40dbf71a3a836db8368749bc4ea845a9c83"}