{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:I67BW73FG2AIPRWS2O6UTP4ZF2","short_pith_number":"pith:I67BW73F","canonical_record":{"source":{"id":"cond-mat/0404742","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2004-04-30T13:58:15Z","cross_cats_sorted":[],"title_canon_sha256":"8fe27b74d14056fc32afb4762885f1d68b8c33d78f766a15a08f776064138328","abstract_canon_sha256":"9b6ad12330121b64bb860558170a0c91d453d038645c3d71617cb35b192dbb64"},"schema_version":"1.0"},"canonical_sha256":"47be1b7f65368087c6d2d3bd49bf992e92e398f28ceede4ad27b0f6b0a9a8914","source":{"kind":"arxiv","id":"cond-mat/0404742","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0404742","created_at":"2026-05-18T01:06:54Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0404742v1","created_at":"2026-05-18T01:06:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0404742","created_at":"2026-05-18T01:06:54Z"},{"alias_kind":"pith_short_12","alias_value":"I67BW73FG2AI","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"I67BW73FG2AIPRWS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"I67BW73F","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:I67BW73FG2AIPRWS2O6UTP4ZF2","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0404742","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2004-04-30T13:58:15Z","cross_cats_sorted":[],"title_canon_sha256":"8fe27b74d14056fc32afb4762885f1d68b8c33d78f766a15a08f776064138328","abstract_canon_sha256":"9b6ad12330121b64bb860558170a0c91d453d038645c3d71617cb35b192dbb64"},"schema_version":"1.0"},"canonical_sha256":"47be1b7f65368087c6d2d3bd49bf992e92e398f28ceede4ad27b0f6b0a9a8914","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:54.156159Z","signature_b64":"7YthAdzfci8VRGsW8XhSE1cPRhYQsh1V1AgnzVkQtSVZOOCqOw4Xzj3/EJhrjjyNmXDUqUMEd3SmbXH0BGzaBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47be1b7f65368087c6d2d3bd49bf992e92e398f28ceede4ad27b0f6b0a9a8914","last_reissued_at":"2026-05-18T01:06:54.155686Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:54.155686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0404742","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":"2026-05-18T01:06:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WS/7ClXu+Yof0HwGr9Bydr/GQbuGQdpdI0wkGibPLw7aDGR1XljZ8epS9+hvH748sowrY8cbXeWeOuSvcv34Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:29:34.846481Z"},"content_sha256":"f58cce2ac58c0fa7c97fb9f34f029aba6b6895766e85972264ad553a5716f8d3","schema_version":"1.0","event_id":"sha256:f58cce2ac58c0fa7c97fb9f34f029aba6b6895766e85972264ad553a5716f8d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:I67BW73FG2AIPRWS2O6UTP4ZF2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymmetrically extremely dilute neural networks with non-trivial dynamics","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"A. C. C. Coolen, J. P. L. Hatchett","submitted_at":"2004-04-30T13:58:15Z","abstract_excerpt":"We study graded response attractor neural networks with asymmetrically extremely dilute interactions and Langevin dynamics. We solve our model in the thermodynamic limit using generating functional analysis, and find (in contrast to the binary neurons case) that even in statics one cannot eliminate the non-persistent order parameters. The macroscopic dynamics is driven by the (non-trivial) joint distribution of neurons and fields, rather than just the (Gaussian) field distribution. We calculate phase transition lines and present simulation results in support of our theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0404742","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":"2026-05-18T01:06:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YOFwTgVb6x7Ui4O4tFisOwkJ79O6sFcAtNYnXLXk2wxdmfj6Qmqb5pI08RYAXrCSj89SFdr/XbYf10/nXOOQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:29:34.846826Z"},"content_sha256":"3b94197e5c7931f7513cd70c4bc4dc3ffaa76ff9d1fc0030d78289cd608f50b6","schema_version":"1.0","event_id":"sha256:3b94197e5c7931f7513cd70c4bc4dc3ffaa76ff9d1fc0030d78289cd608f50b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I67BW73FG2AIPRWS2O6UTP4ZF2/bundle.json","state_url":"https://pith.science/pith/I67BW73FG2AIPRWS2O6UTP4ZF2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I67BW73FG2AIPRWS2O6UTP4ZF2/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":"2026-05-28T13:29:34Z","links":{"resolver":"https://pith.science/pith/I67BW73FG2AIPRWS2O6UTP4ZF2","bundle":"https://pith.science/pith/I67BW73FG2AIPRWS2O6UTP4ZF2/bundle.json","state":"https://pith.science/pith/I67BW73FG2AIPRWS2O6UTP4ZF2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I67BW73FG2AIPRWS2O6UTP4ZF2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:I67BW73FG2AIPRWS2O6UTP4ZF2","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":"9b6ad12330121b64bb860558170a0c91d453d038645c3d71617cb35b192dbb64","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2004-04-30T13:58:15Z","title_canon_sha256":"8fe27b74d14056fc32afb4762885f1d68b8c33d78f766a15a08f776064138328"},"schema_version":"1.0","source":{"id":"cond-mat/0404742","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0404742","created_at":"2026-05-18T01:06:54Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0404742v1","created_at":"2026-05-18T01:06:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0404742","created_at":"2026-05-18T01:06:54Z"},{"alias_kind":"pith_short_12","alias_value":"I67BW73FG2AI","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"I67BW73FG2AIPRWS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"I67BW73F","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:3b94197e5c7931f7513cd70c4bc4dc3ffaa76ff9d1fc0030d78289cd608f50b6","target":"graph","created_at":"2026-05-18T01:06:54Z","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":"We study graded response attractor neural networks with asymmetrically extremely dilute interactions and Langevin dynamics. We solve our model in the thermodynamic limit using generating functional analysis, and find (in contrast to the binary neurons case) that even in statics one cannot eliminate the non-persistent order parameters. The macroscopic dynamics is driven by the (non-trivial) joint distribution of neurons and fields, rather than just the (Gaussian) field distribution. We calculate phase transition lines and present simulation results in support of our theory.","authors_text":"A. C. C. Coolen, J. P. L. Hatchett","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2004-04-30T13:58:15Z","title":"Asymmetrically extremely dilute neural networks with non-trivial dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0404742","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:f58cce2ac58c0fa7c97fb9f34f029aba6b6895766e85972264ad553a5716f8d3","target":"record","created_at":"2026-05-18T01:06:54Z","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":"9b6ad12330121b64bb860558170a0c91d453d038645c3d71617cb35b192dbb64","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2004-04-30T13:58:15Z","title_canon_sha256":"8fe27b74d14056fc32afb4762885f1d68b8c33d78f766a15a08f776064138328"},"schema_version":"1.0","source":{"id":"cond-mat/0404742","kind":"arxiv","version":1}},"canonical_sha256":"47be1b7f65368087c6d2d3bd49bf992e92e398f28ceede4ad27b0f6b0a9a8914","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47be1b7f65368087c6d2d3bd49bf992e92e398f28ceede4ad27b0f6b0a9a8914","first_computed_at":"2026-05-18T01:06:54.155686Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:54.155686Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7YthAdzfci8VRGsW8XhSE1cPRhYQsh1V1AgnzVkQtSVZOOCqOw4Xzj3/EJhrjjyNmXDUqUMEd3SmbXH0BGzaBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:54.156159Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0404742","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f58cce2ac58c0fa7c97fb9f34f029aba6b6895766e85972264ad553a5716f8d3","sha256:3b94197e5c7931f7513cd70c4bc4dc3ffaa76ff9d1fc0030d78289cd608f50b6"],"state_sha256":"f04674195a3b723c358acb0c339b55ab1e582b752c6d14e327eef2a1ecad8748"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j0YZxryxVQLJrPLK3ErqYZQ1Plg3ZVgiV/5uIAc4MkjzuKLhm1jCK0zKgV/PWd53pTrSjSOHAyv0gCv56ZVdAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:29:34.848780Z","bundle_sha256":"443bcad066376352280b7f8a8a7eef6ea5cc7858c2e016b73b0f57d56e60b021"}}