{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:KDXNZ6RWH2HYXAWNTVOQ243QAB","short_pith_number":"pith:KDXNZ6RW","canonical_record":{"source":{"id":"2605.20151","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-19T17:41:09Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"2c4144594f7e4b5bf149a8140effbd9edfefe9922299735b2000f6ab97aee3a6","abstract_canon_sha256":"2fae034e29b53e1acb2e73e8d51adc20ab45bb264fdedf932bec74c06a40f510"},"schema_version":"1.0"},"canonical_sha256":"50eedcfa363e8f8b82cd9d5d0d7370007eaee9f71d153f13de0124a78e56cb49","source":{"kind":"arxiv","id":"2605.20151","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20151","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20151v1","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20151","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_12","alias_value":"KDXNZ6RWH2HY","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_16","alias_value":"KDXNZ6RWH2HYXAWN","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_8","alias_value":"KDXNZ6RW","created_at":"2026-05-20T02:06:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:KDXNZ6RWH2HYXAWNTVOQ243QAB","target":"record","payload":{"canonical_record":{"source":{"id":"2605.20151","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-19T17:41:09Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"2c4144594f7e4b5bf149a8140effbd9edfefe9922299735b2000f6ab97aee3a6","abstract_canon_sha256":"2fae034e29b53e1acb2e73e8d51adc20ab45bb264fdedf932bec74c06a40f510"},"schema_version":"1.0"},"canonical_sha256":"50eedcfa363e8f8b82cd9d5d0d7370007eaee9f71d153f13de0124a78e56cb49","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T02:06:04.419324Z","signature_b64":"9AVoqbZ8LG8hxYjZzRlfT5Y/dXn3aAtq36FXKvl7qNDAiRTLNAu9j0Sr8tNwvyEqC7amXDwijC4pvlEHs5+KCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50eedcfa363e8f8b82cd9d5d0d7370007eaee9f71d153f13de0124a78e56cb49","last_reissued_at":"2026-05-20T02:06:04.418497Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T02:06:04.418497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.20151","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T02:06:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9IgFc+m+8pMDdRw3nGe3EgH/Fr5o8E2+MSADdO6SSSeWBK6RTo1czjQL8pKaISDoVHEr5BJ+ZsWkui+TZB5yBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T03:10:08.719545Z"},"content_sha256":"04407b3326320048ef3251f5b30ae0f65604cd166bbcff4859c99d8acf844901","schema_version":"1.0","event_id":"sha256:04407b3326320048ef3251f5b30ae0f65604cd166bbcff4859c99d8acf844901"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:KDXNZ6RWH2HYXAWNTVOQ243QAB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"When Does Model Collapse Occur in Structured Interactive Learning?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"cs.LG","authors_text":"Kangjie Zhou, Weijie Su, Yuchen Wu","submitted_at":"2026-05-19T17:41:09Z","abstract_excerpt":"The proliferation of generative artificial intelligence has given rise to an interactive learning environment, where model parameters are continuously updated using not only data generated by natural processes, but also synthetic outputs produced by other models. This paradigm introduces two major challenges: (1) training data are no longer drawn exclusively from the target population, undermining a core assumption of classical statistical learning, and (2) model training processes become inherently correlated, as models interact with one another through repeated exposure to each other's synth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20151","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.20151/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T02:06:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n1rr6Pv86/ZtfmbZhpQVRKh7S2jgyfYNwXv2dlpzQP2eg/NB66bmkjtW2zjN85U3jl3N0GX3/BGceDvq9t84Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T03:10:08.719940Z"},"content_sha256":"99db3db6ae026cc1c539da1c085ff176b6f9dc0fa9744e6d690a37a9b840e398","schema_version":"1.0","event_id":"sha256:99db3db6ae026cc1c539da1c085ff176b6f9dc0fa9744e6d690a37a9b840e398"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:KDXNZ6RWH2HYXAWNTVOQ243QAB","target":"integrity","payload":{"note":"URL 'https://cdn' returned status transport error (transport error: [Errno -3] Temporary failure in name resolution) at last check.","snippet":null,"arxiv_id":"2605.20151","detector":"external_links","evidence":{"url":"https://cdn","final_url":null,"host_kind":"website","status_code":0,"status_text":"transport error: [Errno -3] Temporary failure in name resolution","verdict_class":"incontrovertible","checked_at_unix":1779298367.7159812},"severity":"advisory","ref_index":null,"audited_at":"2026-05-20T17:32:48.331196Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://cdn","finding_type":"dead_url","evidence_hash":"c389b7ecc6f26dab0820699a560f3e605dda6b47d760261da2b42292f4ee52f3","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":5337,"payload_sha256":"b937cd39cfded069db4b07cd76b6186afb134f877504950ddc1c34b71fdf68af","signature_b64":"H6lF/3mwF3UU+RMSVIUN6H8RjZn8lsKbd8XJFOL/tu6PgwGPijqyPDAACNzFKFbk/TouLWodG2uYSv4O6M+XDQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T17:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9qvGGUnhgX5DLtL/G49CXpAQdlNnEeGKB0+q9t7AaVTi5rZHezdPk5igGV4WJxWM7nH+ANxd5QGcjzpxeJmsBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T03:10:08.720811Z"},"content_sha256":"52fbef060f719bcbc29a4d7750cbd938ae1a27b5ad636596c6e386eef5195370","schema_version":"1.0","event_id":"sha256:52fbef060f719bcbc29a4d7750cbd938ae1a27b5ad636596c6e386eef5195370"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KDXNZ6RWH2HYXAWNTVOQ243QAB/bundle.json","state_url":"https://pith.science/pith/KDXNZ6RWH2HYXAWNTVOQ243QAB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KDXNZ6RWH2HYXAWNTVOQ243QAB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-22T03:10:08Z","links":{"resolver":"https://pith.science/pith/KDXNZ6RWH2HYXAWNTVOQ243QAB","bundle":"https://pith.science/pith/KDXNZ6RWH2HYXAWNTVOQ243QAB/bundle.json","state":"https://pith.science/pith/KDXNZ6RWH2HYXAWNTVOQ243QAB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KDXNZ6RWH2HYXAWNTVOQ243QAB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KDXNZ6RWH2HYXAWNTVOQ243QAB","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2fae034e29b53e1acb2e73e8d51adc20ab45bb264fdedf932bec74c06a40f510","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-19T17:41:09Z","title_canon_sha256":"2c4144594f7e4b5bf149a8140effbd9edfefe9922299735b2000f6ab97aee3a6"},"schema_version":"1.0","source":{"id":"2605.20151","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20151","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20151v1","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20151","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_12","alias_value":"KDXNZ6RWH2HY","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_16","alias_value":"KDXNZ6RWH2HYXAWN","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_8","alias_value":"KDXNZ6RW","created_at":"2026-05-20T02:06:04Z"}],"graph_snapshots":[{"event_id":"sha256:99db3db6ae026cc1c539da1c085ff176b6f9dc0fa9744e6d690a37a9b840e398","target":"graph","created_at":"2026-05-20T02:06:04Z","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/2605.20151/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The proliferation of generative artificial intelligence has given rise to an interactive learning environment, where model parameters are continuously updated using not only data generated by natural processes, but also synthetic outputs produced by other models. This paradigm introduces two major challenges: (1) training data are no longer drawn exclusively from the target population, undermining a core assumption of classical statistical learning, and (2) model training processes become inherently correlated, as models interact with one another through repeated exposure to each other's synth","authors_text":"Kangjie Zhou, Weijie Su, Yuchen Wu","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-19T17:41:09Z","title":"When Does Model Collapse Occur in Structured Interactive Learning?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20151","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":"sha256:04407b3326320048ef3251f5b30ae0f65604cd166bbcff4859c99d8acf844901","target":"record","created_at":"2026-05-20T02:06:04Z","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":"2fae034e29b53e1acb2e73e8d51adc20ab45bb264fdedf932bec74c06a40f510","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-05-19T17:41:09Z","title_canon_sha256":"2c4144594f7e4b5bf149a8140effbd9edfefe9922299735b2000f6ab97aee3a6"},"schema_version":"1.0","source":{"id":"2605.20151","kind":"arxiv","version":1}},"canonical_sha256":"50eedcfa363e8f8b82cd9d5d0d7370007eaee9f71d153f13de0124a78e56cb49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50eedcfa363e8f8b82cd9d5d0d7370007eaee9f71d153f13de0124a78e56cb49","first_computed_at":"2026-05-20T02:06:04.418497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T02:06:04.418497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9AVoqbZ8LG8hxYjZzRlfT5Y/dXn3aAtq36FXKvl7qNDAiRTLNAu9j0Sr8tNwvyEqC7amXDwijC4pvlEHs5+KCA==","signature_status":"signed_v1","signed_at":"2026-05-20T02:06:04.419324Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.20151","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04407b3326320048ef3251f5b30ae0f65604cd166bbcff4859c99d8acf844901","sha256:99db3db6ae026cc1c539da1c085ff176b6f9dc0fa9744e6d690a37a9b840e398","sha256:52fbef060f719bcbc29a4d7750cbd938ae1a27b5ad636596c6e386eef5195370"],"state_sha256":"2442ad48c155b824cd2802aa6d63d5431edd16f39a5c9cefdadbc467d20e67b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Oz0N4BBeQsr/f37zuxsthksj6cyD2t2iXS7O/wS8GFyTpUjynKAseV7c2tg1IcLiiPonRnxvLyIpTOluYC0XDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T03:10:08.723163Z","bundle_sha256":"c121ff8e0529246309f0f39b935f10360a49932840bb3fec96fc0ece09aaefb9"}}