{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3BFDV4J44O4BWQ4UPZ4F3ZSMXE","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":"90ba5c1c241fac8b9629cce1fdc56475ec06af7ff1b8008bd1787ae7d0ba78fd","cross_cats_sorted":["cond-mat.stat-mech","cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-13T13:36:52Z","title_canon_sha256":"cb38bb13c82ba8cb9a5251684c6278f29c60ee745552df62105685354c09a6a6"},"schema_version":"1.0","source":{"id":"1206.2802","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2802","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2802v1","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2802","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"3BFDV4J44O4B","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3BFDV4J44O4BWQ4U","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3BFDV4J4","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:e16d396db683a7b16eb175084ce5a2a3c39f91acae8b1538fb43fca7b9cdc88e","target":"graph","created_at":"2026-05-18T03:43:18Z","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 associationist account for early word-learning is based on the co-occurrence between objects and words. Here we examine the performance of a simple associative learning algorithm for acquiring the referents of words in a cross-situational scenario affected by noise produced by out-of-context words. We find a critical value of the noise parameter $\\gamma_c$ above which learning is impossible. We use finite-size scaling to show that the sharpness of the transition persists across a region of order $\\tau^{-1/2}$ about $\\gamma_c$, where $\\tau$ is the number of learning trials, as well as to ob","authors_text":"J. F. Fontanari, P. F. C. Tilles","cross_cats":["cond-mat.stat-mech","cs.AI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-13T13:36:52Z","title":"Critical behavior in a cross-situational lexicon learning scenario"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2802","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":"sha256:357861100cbd3a44ca40fe81b3ed05ad76f180679b4a0ff2f174725a8c910d6f","target":"record","created_at":"2026-05-18T03:43:18Z","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":"90ba5c1c241fac8b9629cce1fdc56475ec06af7ff1b8008bd1787ae7d0ba78fd","cross_cats_sorted":["cond-mat.stat-mech","cs.AI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-06-13T13:36:52Z","title_canon_sha256":"cb38bb13c82ba8cb9a5251684c6278f29c60ee745552df62105685354c09a6a6"},"schema_version":"1.0","source":{"id":"1206.2802","kind":"arxiv","version":1}},"canonical_sha256":"d84a3af13ce3b81b43947e785de64cb91e6ffc6b3f36c9a9c0b9a776c891a5b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d84a3af13ce3b81b43947e785de64cb91e6ffc6b3f36c9a9c0b9a776c891a5b9","first_computed_at":"2026-05-18T03:43:18.100993Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:18.100993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rzPDeeiUJAfTG9GyBGxClGOAfEYPabKpfSYE4BuksEgsvc+8TKLYBQOBXu4m9VXbLSAusU2rn0FYEajoyiCnCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:18.101629Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2802","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:357861100cbd3a44ca40fe81b3ed05ad76f180679b4a0ff2f174725a8c910d6f","sha256:e16d396db683a7b16eb175084ce5a2a3c39f91acae8b1538fb43fca7b9cdc88e"],"state_sha256":"fd8aec945da6a292dd85ff2b38af404e17210bc4107b3d9436d9bc1f2bb861ff"}