{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Z6N26Z4MA4AXCZR665ZFCUID23","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":"593a5adb45f2ab171fcfef43e9c7c4043753790e8683f6ba034566cbec0a40a3","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-13T18:18:38Z","title_canon_sha256":"3d4a13711babc86a34f7540230f93d1b1ccdbcbb8f886bc048ed1d13650e6880"},"schema_version":"1.0","source":{"id":"1609.03960","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03960","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03960v1","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03960","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"Z6N26Z4MA4AX","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"Z6N26Z4MA4AXCZR6","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"Z6N26Z4M","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:82b769f5b8add915ae3e74846c6ced0d8bacd235dd9533cc09a4907b1e16b127","target":"graph","created_at":"2026-05-18T01:04:42Z","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":"An important result from psycholinguistics (Griffiths & Kalish, 2005) states that no language can be learned iteratively by rational agents in a self-sustaining manner. We show how to modify the learning process slightly in order to achieve self-sustainability. Our work is in two parts. First, we characterize iterated learnability in geometric terms and show how a slight, steady increase in the lengths of the training sessions ensures self-sustainability for any discrete language class. In the second part, we tackle the nondiscrete case and investigate self-sustainability for iterated linear r","authors_text":"Bernard Chazelle, Chu Wang","cross_cats":["cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-13T18:18:38Z","title":"Self-Sustaining Iterated Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03960","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":"sha256:04b480819dcfb065ca666cec01271d9f466eb84f1a6eb4c599f0680699d632fb","target":"record","created_at":"2026-05-18T01:04:42Z","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":"593a5adb45f2ab171fcfef43e9c7c4043753790e8683f6ba034566cbec0a40a3","cross_cats_sorted":["cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-13T18:18:38Z","title_canon_sha256":"3d4a13711babc86a34f7540230f93d1b1ccdbcbb8f886bc048ed1d13650e6880"},"schema_version":"1.0","source":{"id":"1609.03960","kind":"arxiv","version":1}},"canonical_sha256":"cf9baf678c070171663ef772515103d6f05f256e68445d49b898c283983a7c95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf9baf678c070171663ef772515103d6f05f256e68445d49b898c283983a7c95","first_computed_at":"2026-05-18T01:04:42.087642Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:42.087642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vs4q1X1I9S/rOi6zpd5U2KjVdybEWb0UFD2shKB8V3I9+OHWEG1F4cVNDeuqxu2Dt2G+68W2hGimRO0rvx3CDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:42.088077Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03960","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04b480819dcfb065ca666cec01271d9f466eb84f1a6eb4c599f0680699d632fb","sha256:82b769f5b8add915ae3e74846c6ced0d8bacd235dd9533cc09a4907b1e16b127"],"state_sha256":"c459df6e4d796c834eaa03568ad968b781f937e7581df3d7c4ebbbcff758f9e6"}