{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:JLKQ4SV3XJHHCTVFPFY4TRPXFY","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":"76ad3f704e110ade9955e83a606db50dd19ea6dfe0ca0aba929a403458b30197","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2025-12-23T08:41:10Z","title_canon_sha256":"43af72eb0558c2d8aac8bba356381893f1c2d88e4806fdf3e5fc35a28ea32f3a"},"schema_version":"1.0","source":{"id":"2512.20163","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.20163","created_at":"2026-06-09T01:05:12Z"},{"alias_kind":"arxiv_version","alias_value":"2512.20163v4","created_at":"2026-06-09T01:05:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.20163","created_at":"2026-06-09T01:05:12Z"},{"alias_kind":"pith_short_12","alias_value":"JLKQ4SV3XJHH","created_at":"2026-06-09T01:05:12Z"},{"alias_kind":"pith_short_16","alias_value":"JLKQ4SV3XJHHCTVF","created_at":"2026-06-09T01:05:12Z"},{"alias_kind":"pith_short_8","alias_value":"JLKQ4SV3","created_at":"2026-06-09T01:05:12Z"}],"graph_snapshots":[{"event_id":"sha256:1a98c2acf5eb83524af058e8ef761b0316f829be432f30776c04a6079e2f650a","target":"graph","created_at":"2026-06-09T01:05:12Z","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/2512.20163/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For nearly two decades, population protocols have been extensively studied, yielding efficient solutions for central problems in distributed computing, including leader election, and majority computation, a predicate type in Presburger Arithmetic closely tied to population protocols. Surprisingly, no protocols have achieved both time- and space-efficiency for congruency predicates, such as parity computation, which are complementary in this arithmetic framework. This gap highlights a significant challenge in the field. To address this gap, we explore the parity problem, where agents are tasked","authors_text":"Grzegorz Stachowiak, Jakub Kowalski, Leszek G\\k{a}sieniec, Tomasz Jurdzi\\'nski, Tytus Grodzicki","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2025-12-23T08:41:10Z","title":"Efficient Stable Population Protocols for Parity and Beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.20163","kind":"arxiv","version":4},"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":"sha256:4107ac766e70514ecc9f92c1aeda7ffcfdc3aff40de2f800f15188b96aee218d","target":"record","created_at":"2026-06-09T01:05:12Z","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":"76ad3f704e110ade9955e83a606db50dd19ea6dfe0ca0aba929a403458b30197","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DC","submitted_at":"2025-12-23T08:41:10Z","title_canon_sha256":"43af72eb0558c2d8aac8bba356381893f1c2d88e4806fdf3e5fc35a28ea32f3a"},"schema_version":"1.0","source":{"id":"2512.20163","kind":"arxiv","version":4}},"canonical_sha256":"4ad50e4abbba4e714ea57971c9c5f72e1f1a46577767e918f25c24cdbca5b339","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ad50e4abbba4e714ea57971c9c5f72e1f1a46577767e918f25c24cdbca5b339","first_computed_at":"2026-06-09T01:05:12.106885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:05:12.106885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n4P4kKZKEXXSKSukawC67PB80melHG5TYl18l6RjNdu4pSWiml5wcf5jxKyDvNJW94ZXRTqXRRe451LwrFAhCg==","signature_status":"signed_v1","signed_at":"2026-06-09T01:05:12.107390Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.20163","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4107ac766e70514ecc9f92c1aeda7ffcfdc3aff40de2f800f15188b96aee218d","sha256:1a98c2acf5eb83524af058e8ef761b0316f829be432f30776c04a6079e2f650a"],"state_sha256":"6aed9db5bf34cac38220cc6fb4b31e6e41343c9b103e4b644ba63d29021edc79"}