{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:DJJTXRB7B56S5IGVPGDIPLBQRJ","short_pith_number":"pith:DJJTXRB7","canonical_record":{"source":{"id":"cond-mat/9810386","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"1998-10-28T17:09:27Z","cross_cats_sorted":[],"title_canon_sha256":"c122526d8d735e13fc0b30eab2155f424dd24357871eaf890cf0db0cd1da5d37","abstract_canon_sha256":"a66fed70e2d5225227f9c9c7dd499b1b60bc20bca395fb42bea28e8731a14f88"},"schema_version":"1.0"},"canonical_sha256":"1a533bc43f0f7d2ea0d5798687ac308a479ba5f71cc8b28eba5f09f10af7c664","source":{"kind":"arxiv","id":"cond-mat/9810386","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9810386","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9810386v1","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9810386","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"DJJTXRB7B56S","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"DJJTXRB7B56S5IGV","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"DJJTXRB7","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:DJJTXRB7B56S5IGVPGDIPLBQRJ","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9810386","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"1998-10-28T17:09:27Z","cross_cats_sorted":[],"title_canon_sha256":"c122526d8d735e13fc0b30eab2155f424dd24357871eaf890cf0db0cd1da5d37","abstract_canon_sha256":"a66fed70e2d5225227f9c9c7dd499b1b60bc20bca395fb42bea28e8731a14f88"},"schema_version":"1.0"},"canonical_sha256":"1a533bc43f0f7d2ea0d5798687ac308a479ba5f71cc8b28eba5f09f10af7c664","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:29.697565Z","signature_b64":"O+Sdg5+Pl/T9BFwjz89tzTTNVDl+DFMT36yM1qs3mHabW7cwqIz+yljncLYBJpqos0IivRw3c8P4nnTIZ9bUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a533bc43f0f7d2ea0d5798687ac308a479ba5f71cc8b28eba5f09f10af7c664","last_reissued_at":"2026-05-18T01:39:29.696778Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:29.696778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9810386","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":"2026-05-18T01:39:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8SNOhsKccMVOWR8tr+KdmGoE9g9KX+luiWs+8fbfXJajZdbPk6oirVfcQJWWhAYUxHeX7ytzn6Ir1cZ2HDx8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:29:24.184744Z"},"content_sha256":"e63d35c1678aa505bb2183847f3d3cb033a0e907b0b1456c886b43002929c716","schema_version":"1.0","event_id":"sha256:e63d35c1678aa505bb2183847f3d3cb033a0e907b0b1456c886b43002929c716"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:DJJTXRB7B56S5IGVPGDIPLBQRJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Parallel dynamics of extremely diluted symmetric Q-Ising neural networks","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Belgium), Chungnam National University, D. Bolle, G. Jongen (Instituut voor Theoretische Fysica, G.M. Shim (Department of Physics, K.U. Leuven, R.O. Korea)","submitted_at":"1998-10-28T17:09:27Z","abstract_excerpt":"The parallel dynamics of extremely diluted symmetric Q-Ising neural networks is studied for arbitrary Q using a probabilistic approach. In spite of the extremely diluted architecture the feedback correlations arising from the symmetry prevent a closed-form solution in contrast with the extremely diluted asymmetric model. A recursive scheme is found determining the complete time evolution of the order parameters taking into account all feedback. It is based upon the evolution of the distribution of the local field, as in the fully connected model. As an illustrative example an explicit analysis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9810386","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":""},"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":"2026-05-18T01:39:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tt6D8QJVOQxxCBfz6V4Ck0KAAcZoQCVZKbyrW+dXq+lbTK0uqveDQ13MKiJYndYy2Fal+fomhT9nCKWM8EhrAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:29:24.185163Z"},"content_sha256":"8491a283bf9aa55ad3a3948dde10c4d8f831134bdda86630a18ace53c3c3bf72","schema_version":"1.0","event_id":"sha256:8491a283bf9aa55ad3a3948dde10c4d8f831134bdda86630a18ace53c3c3bf72"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DJJTXRB7B56S5IGVPGDIPLBQRJ/bundle.json","state_url":"https://pith.science/pith/DJJTXRB7B56S5IGVPGDIPLBQRJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DJJTXRB7B56S5IGVPGDIPLBQRJ/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":"2026-05-26T07:29:24Z","links":{"resolver":"https://pith.science/pith/DJJTXRB7B56S5IGVPGDIPLBQRJ","bundle":"https://pith.science/pith/DJJTXRB7B56S5IGVPGDIPLBQRJ/bundle.json","state":"https://pith.science/pith/DJJTXRB7B56S5IGVPGDIPLBQRJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DJJTXRB7B56S5IGVPGDIPLBQRJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:DJJTXRB7B56S5IGVPGDIPLBQRJ","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":"a66fed70e2d5225227f9c9c7dd499b1b60bc20bca395fb42bea28e8731a14f88","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"1998-10-28T17:09:27Z","title_canon_sha256":"c122526d8d735e13fc0b30eab2155f424dd24357871eaf890cf0db0cd1da5d37"},"schema_version":"1.0","source":{"id":"cond-mat/9810386","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9810386","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9810386v1","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9810386","created_at":"2026-05-18T01:39:29Z"},{"alias_kind":"pith_short_12","alias_value":"DJJTXRB7B56S","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"DJJTXRB7B56S5IGV","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"DJJTXRB7","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:8491a283bf9aa55ad3a3948dde10c4d8f831134bdda86630a18ace53c3c3bf72","target":"graph","created_at":"2026-05-18T01:39:29Z","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 parallel dynamics of extremely diluted symmetric Q-Ising neural networks is studied for arbitrary Q using a probabilistic approach. In spite of the extremely diluted architecture the feedback correlations arising from the symmetry prevent a closed-form solution in contrast with the extremely diluted asymmetric model. A recursive scheme is found determining the complete time evolution of the order parameters taking into account all feedback. It is based upon the evolution of the distribution of the local field, as in the fully connected model. As an illustrative example an explicit analysis","authors_text":"Belgium), Chungnam National University, D. Bolle, G. Jongen (Instituut voor Theoretische Fysica, G.M. Shim (Department of Physics, K.U. Leuven, R.O. Korea)","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"1998-10-28T17:09:27Z","title":"Parallel dynamics of extremely diluted symmetric Q-Ising neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9810386","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:e63d35c1678aa505bb2183847f3d3cb033a0e907b0b1456c886b43002929c716","target":"record","created_at":"2026-05-18T01:39:29Z","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":"a66fed70e2d5225227f9c9c7dd499b1b60bc20bca395fb42bea28e8731a14f88","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"1998-10-28T17:09:27Z","title_canon_sha256":"c122526d8d735e13fc0b30eab2155f424dd24357871eaf890cf0db0cd1da5d37"},"schema_version":"1.0","source":{"id":"cond-mat/9810386","kind":"arxiv","version":1}},"canonical_sha256":"1a533bc43f0f7d2ea0d5798687ac308a479ba5f71cc8b28eba5f09f10af7c664","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a533bc43f0f7d2ea0d5798687ac308a479ba5f71cc8b28eba5f09f10af7c664","first_computed_at":"2026-05-18T01:39:29.696778Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:29.696778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O+Sdg5+Pl/T9BFwjz89tzTTNVDl+DFMT36yM1qs3mHabW7cwqIz+yljncLYBJpqos0IivRw3c8P4nnTIZ9bUCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:29.697565Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9810386","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e63d35c1678aa505bb2183847f3d3cb033a0e907b0b1456c886b43002929c716","sha256:8491a283bf9aa55ad3a3948dde10c4d8f831134bdda86630a18ace53c3c3bf72"],"state_sha256":"e0bee7b612671bf4fd4edebc2493129d5a09d393dda6c5bc5c263a2afddd73f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dauj9yEir+dC7z1UmGfU0QLe7p5TBP29GJg3Zl5WTowZcZp+ypLtNKnKX24Z7fnYStXFFXkYeG0I8oNEo2eSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:29:24.187727Z","bundle_sha256":"024520f3d94cd0b0f75f80ad05722899d8e6377d1f1a6d3e6ac69728ca5b6441"}}