{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:DF5ND4W2WW7YBKOADQ443M6QDJ","short_pith_number":"pith:DF5ND4W2","canonical_record":{"source":{"id":"cond-mat/0006251","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-06-15T11:38:56Z","cross_cats_sorted":[],"title_canon_sha256":"30fbe9c3e7fd06bd53d092c93c9ba22f0f4590aa330af2f700182d5cb0af3054","abstract_canon_sha256":"978900614fb7a069dbbd725f3c37a99960a30425403c1be5cf3dd8c6f3306485"},"schema_version":"1.0"},"canonical_sha256":"197ad1f2dab5bf80a9c01c39cdb3d01a44e30dd75fd0099b5036a4042c1eef5d","source":{"kind":"arxiv","id":"cond-mat/0006251","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0006251","created_at":"2026-07-04T14:17:53Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0006251v1","created_at":"2026-07-04T14:17:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0006251","created_at":"2026-07-04T14:17:53Z"},{"alias_kind":"pith_short_12","alias_value":"DF5ND4W2WW7Y","created_at":"2026-07-04T14:17:53Z"},{"alias_kind":"pith_short_16","alias_value":"DF5ND4W2WW7YBKOA","created_at":"2026-07-04T14:17:53Z"},{"alias_kind":"pith_short_8","alias_value":"DF5ND4W2","created_at":"2026-07-04T14:17:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:DF5ND4W2WW7YBKOADQ443M6QDJ","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0006251","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-06-15T11:38:56Z","cross_cats_sorted":[],"title_canon_sha256":"30fbe9c3e7fd06bd53d092c93c9ba22f0f4590aa330af2f700182d5cb0af3054","abstract_canon_sha256":"978900614fb7a069dbbd725f3c37a99960a30425403c1be5cf3dd8c6f3306485"},"schema_version":"1.0"},"canonical_sha256":"197ad1f2dab5bf80a9c01c39cdb3d01a44e30dd75fd0099b5036a4042c1eef5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:17:53.049196Z","signature_b64":"BfO/Q9oo5PFaikm9ud4DuIEKgElWbKIS5Sux9X9wXiL8mN4+XLxlLIHWHjLutPGAfJLPz+XAfm9kdsA8+eFCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"197ad1f2dab5bf80a9c01c39cdb3d01a44e30dd75fd0099b5036a4042c1eef5d","last_reissued_at":"2026-07-04T14:17:53.048771Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:17:53.048771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0006251","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":"2026-07-04T14:17:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Eiv8L9D1IYWsegSpRk/lHDoEUS5DX9q5d+m0YKFSrCHbsToh93bI5rdxGBQvhO/IIX0Ixy1oz7KjhM/E9AjdCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:36:45.932845Z"},"content_sha256":"c867bfa6e0186c66e398f886d6bedb6334b4f1ffdefcaf0911313656778c3519","schema_version":"1.0","event_id":"sha256:c867bfa6e0186c66e398f886d6bedb6334b4f1ffdefcaf0911313656778c3519"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:DF5ND4W2WW7YBKOADQ443M6QDJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mean-field theory of learning: from dynamics to statics","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"K. Y. Michael Wong, Peixun Luo, S. Li","submitted_at":"2000-06-15T11:38:56Z","abstract_excerpt":"Using the cavity method and diagrammatic methods, we model the dynamics of batch learning of restricted sets of examples. Simulations of the Green's function and the cavity activation distributions support the theory well. The learning dynamics approaches a steady state in agreement with the static version of the cavity method. The picture of the rough energy landscape is reviewed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0006251","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/cond-mat/0006251/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":"2026-07-04T14:17:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2xZRuyuTj/NoN37ZSN8ek9gdbKGiz8rSzfsp/Utxwfqbex8Jvt0LEXY4F71tKMQ7xesgCBQlmzsTFTPOXLLaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:36:45.933399Z"},"content_sha256":"ff082e2cc4516446bd9a651f67b39eb902f8a95248a4770ef4fe0c6dbbc37457","schema_version":"1.0","event_id":"sha256:ff082e2cc4516446bd9a651f67b39eb902f8a95248a4770ef4fe0c6dbbc37457"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DF5ND4W2WW7YBKOADQ443M6QDJ/bundle.json","state_url":"https://pith.science/pith/DF5ND4W2WW7YBKOADQ443M6QDJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DF5ND4W2WW7YBKOADQ443M6QDJ/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":"2026-08-03T16:36:45Z","links":{"resolver":"https://pith.science/pith/DF5ND4W2WW7YBKOADQ443M6QDJ","bundle":"https://pith.science/pith/DF5ND4W2WW7YBKOADQ443M6QDJ/bundle.json","state":"https://pith.science/pith/DF5ND4W2WW7YBKOADQ443M6QDJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DF5ND4W2WW7YBKOADQ443M6QDJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:DF5ND4W2WW7YBKOADQ443M6QDJ","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":"978900614fb7a069dbbd725f3c37a99960a30425403c1be5cf3dd8c6f3306485","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-06-15T11:38:56Z","title_canon_sha256":"30fbe9c3e7fd06bd53d092c93c9ba22f0f4590aa330af2f700182d5cb0af3054"},"schema_version":"1.0","source":{"id":"cond-mat/0006251","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0006251","created_at":"2026-07-04T14:17:53Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0006251v1","created_at":"2026-07-04T14:17:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0006251","created_at":"2026-07-04T14:17:53Z"},{"alias_kind":"pith_short_12","alias_value":"DF5ND4W2WW7Y","created_at":"2026-07-04T14:17:53Z"},{"alias_kind":"pith_short_16","alias_value":"DF5ND4W2WW7YBKOA","created_at":"2026-07-04T14:17:53Z"},{"alias_kind":"pith_short_8","alias_value":"DF5ND4W2","created_at":"2026-07-04T14:17:53Z"}],"graph_snapshots":[{"event_id":"sha256:ff082e2cc4516446bd9a651f67b39eb902f8a95248a4770ef4fe0c6dbbc37457","target":"graph","created_at":"2026-07-04T14:17:53Z","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/cond-mat/0006251/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using the cavity method and diagrammatic methods, we model the dynamics of batch learning of restricted sets of examples. Simulations of the Green's function and the cavity activation distributions support the theory well. The learning dynamics approaches a steady state in agreement with the static version of the cavity method. The picture of the rough energy landscape is reviewed.","authors_text":"K. Y. Michael Wong, Peixun Luo, S. Li","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-06-15T11:38:56Z","title":"Mean-field theory of learning: from dynamics to statics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0006251","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:c867bfa6e0186c66e398f886d6bedb6334b4f1ffdefcaf0911313656778c3519","target":"record","created_at":"2026-07-04T14:17:53Z","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":"978900614fb7a069dbbd725f3c37a99960a30425403c1be5cf3dd8c6f3306485","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-06-15T11:38:56Z","title_canon_sha256":"30fbe9c3e7fd06bd53d092c93c9ba22f0f4590aa330af2f700182d5cb0af3054"},"schema_version":"1.0","source":{"id":"cond-mat/0006251","kind":"arxiv","version":1}},"canonical_sha256":"197ad1f2dab5bf80a9c01c39cdb3d01a44e30dd75fd0099b5036a4042c1eef5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"197ad1f2dab5bf80a9c01c39cdb3d01a44e30dd75fd0099b5036a4042c1eef5d","first_computed_at":"2026-07-04T14:17:53.048771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:17:53.048771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BfO/Q9oo5PFaikm9ud4DuIEKgElWbKIS5Sux9X9wXiL8mN4+XLxlLIHWHjLutPGAfJLPz+XAfm9kdsA8+eFCCg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:17:53.049196Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0006251","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c867bfa6e0186c66e398f886d6bedb6334b4f1ffdefcaf0911313656778c3519","sha256:ff082e2cc4516446bd9a651f67b39eb902f8a95248a4770ef4fe0c6dbbc37457"],"state_sha256":"5e348a40cfdd42a1ce64e68046ec97c2c0a8bf7cea16b4d0c3c7162628d835e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nT8KBZAxsU3IxNSb396CHV4s59uOubv8UUjhf8o1P7dM9zkf2Leff0qdihSHieOjnEVwizFYoHtd4YPiqxX+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:36:45.937004Z","bundle_sha256":"3d7a7ba369418c52b6cda620633465e812e633a999e3ba4dfe8b51ee0db054ac"}}