{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NKR4YYYKNU72J23M4TW25FUJMA","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":"3219507d403f2ee306742aed487c5b6482aff0cabe606a026effa6c435fc4703","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2022-10-05T17:12:30Z","title_canon_sha256":"51156127f76ddcab0f1b37956d5cc3c39fc44b36e1df9b46f25c9fd5e973c9fd"},"schema_version":"1.0","source":{"id":"2210.02394","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.02394","created_at":"2026-07-05T05:03:47Z"},{"alias_kind":"arxiv_version","alias_value":"2210.02394v1","created_at":"2026-07-05T05:03:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.02394","created_at":"2026-07-05T05:03:47Z"},{"alias_kind":"pith_short_12","alias_value":"NKR4YYYKNU72","created_at":"2026-07-05T05:03:47Z"},{"alias_kind":"pith_short_16","alias_value":"NKR4YYYKNU72J23M","created_at":"2026-07-05T05:03:47Z"},{"alias_kind":"pith_short_8","alias_value":"NKR4YYYK","created_at":"2026-07-05T05:03:47Z"}],"graph_snapshots":[{"event_id":"sha256:c0d4b991adaeed753e0998e33362354e17aaf529d3112254d1cbed9219f86779","target":"graph","created_at":"2026-07-05T05:03:47Z","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/2210.02394/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Structural balance theory is an established framework for studying social relationships of friendship and enmity. These relationships are modeled by a signed network whose energy potential measures the level of imbalance, while stochastic dynamics drives the network towards a state of minimum energy that captures social balance. It is known that this energy landscape has local minima that can trap socially-aware dynamics, preventing it from reaching balance. Here we first study the robustness and attractor properties of these local minima. We show that a stochastic process can reach them from ","authors_text":"Andreas Pavlogiannis, {\\DH}or{\\dj}e \\v{Z}ikeli\\'c, Jakub Svoboda, Josef Tkadlec, Krishnendu Chatterjee","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2022-10-05T17:12:30Z","title":"Social Balance on Networks: Local Minima and Best Edge Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.02394","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:c541f2faa86b3ac809de7877ba7471ffae0004966621c9ae89653a3be4095bcc","target":"record","created_at":"2026-07-05T05:03:47Z","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":"3219507d403f2ee306742aed487c5b6482aff0cabe606a026effa6c435fc4703","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SI","submitted_at":"2022-10-05T17:12:30Z","title_canon_sha256":"51156127f76ddcab0f1b37956d5cc3c39fc44b36e1df9b46f25c9fd5e973c9fd"},"schema_version":"1.0","source":{"id":"2210.02394","kind":"arxiv","version":1}},"canonical_sha256":"6aa3cc630a6d3fa4eb6ce4edae96896019f1d7f6873dc800f8d39badcded7faa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6aa3cc630a6d3fa4eb6ce4edae96896019f1d7f6873dc800f8d39badcded7faa","first_computed_at":"2026-07-05T05:03:47.552084Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:03:47.552084Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0k3ymZNPKXwaebAETtMh41/iJQqBHSITn6FqWgrLqBYJKbHa3jtXEgXbNBYVt6aulUrTfirkzmW4Xa1lzHGWBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:03:47.552556Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.02394","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c541f2faa86b3ac809de7877ba7471ffae0004966621c9ae89653a3be4095bcc","sha256:c0d4b991adaeed753e0998e33362354e17aaf529d3112254d1cbed9219f86779"],"state_sha256":"c17a4c7cf857d3c5c4d97b4d3a8bb274bec68d84f180550fb7fd04d46c0b4c90"}