{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IAV6G7LWUPJMJ74BAMHCGU3FYY","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":"440c382d2b5c405f8bafcdd381eaa34be5405e0b39490fc4b900ebdff53421d2","cross_cats_sorted":["cs.IR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2026-06-08T18:27:43Z","title_canon_sha256":"2a8d0c7cd9d7fb257bed76507f94a2aec96c5909140205a183ebe95a1c2d97ce"},"schema_version":"1.0","source":{"id":"2606.10053","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.10053","created_at":"2026-06-10T00:08:46Z"},{"alias_kind":"arxiv_version","alias_value":"2606.10053v1","created_at":"2026-06-10T00:08:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10053","created_at":"2026-06-10T00:08:46Z"},{"alias_kind":"pith_short_12","alias_value":"IAV6G7LWUPJM","created_at":"2026-06-10T00:08:46Z"},{"alias_kind":"pith_short_16","alias_value":"IAV6G7LWUPJMJ74B","created_at":"2026-06-10T00:08:46Z"},{"alias_kind":"pith_short_8","alias_value":"IAV6G7LW","created_at":"2026-06-10T00:08:46Z"}],"graph_snapshots":[{"event_id":"sha256:aeba4f448ef15a49213e43c081491fcff41344c15321843fc4558ca7d29be243","target":"graph","created_at":"2026-06-10T00:08:46Z","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/2606.10053/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In a competitive search setting, publishers strategically modify their documents in response to induced rankings so as to improve their future ranking. We present a novel game-theoretic analysis of a competitive search setting where search-results diversification is applied. Our analysis reveals an inherent tradeoff between corpus diversity and corpus stability, where the latter corresponds to an equilibrium in a game. We analyze two representative diversification methods and show that stability need not necessarily be reached, leaving the corpus to rapid changes due to ranking incentivized mo","authors_text":"Itamar Reinman, Moshe Tennenholtz, Omer Madmon, Oren Kurland","cross_cats":["cs.IR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2026-06-08T18:27:43Z","title":"Stability in Competitive Search with Results Diversification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10053","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:ceb63924f5d05f540dd3dc7a1b4db4581d25259f5e72e7cb1f35f169102066cf","target":"record","created_at":"2026-06-10T00:08:46Z","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":"440c382d2b5c405f8bafcdd381eaa34be5405e0b39490fc4b900ebdff53421d2","cross_cats_sorted":["cs.IR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.GT","submitted_at":"2026-06-08T18:27:43Z","title_canon_sha256":"2a8d0c7cd9d7fb257bed76507f94a2aec96c5909140205a183ebe95a1c2d97ce"},"schema_version":"1.0","source":{"id":"2606.10053","kind":"arxiv","version":1}},"canonical_sha256":"402be37d76a3d2c4ff81030e235365c6372b03430b600dd8c29a63159b1cfa42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"402be37d76a3d2c4ff81030e235365c6372b03430b600dd8c29a63159b1cfa42","first_computed_at":"2026-06-10T00:08:46.668967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T00:08:46.668967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BLs0IJWKiS4gbhntQewKPWZgjXhJ9/M6WrrNtnMvA+MMQcLfTh4xOPLwnGbhpf8d80OryMBRKtRPgGn3ju2IDg==","signature_status":"signed_v1","signed_at":"2026-06-10T00:08:46.669769Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.10053","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ceb63924f5d05f540dd3dc7a1b4db4581d25259f5e72e7cb1f35f169102066cf","sha256:aeba4f448ef15a49213e43c081491fcff41344c15321843fc4558ca7d29be243"],"state_sha256":"bb484c8fe2ff18c843b6f7295a0f16c6b160a67a47c568f5aea74b8832793d5a"}