{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:SIFNSCMM4M4ABJXA5ENNK65IJ5","short_pith_number":"pith:SIFNSCMM","schema_version":"1.0","canonical_sha256":"920ad9098ce33800a6e0e91ad57ba84f6ddac94cb54c05f82563b4a46954544c","source":{"kind":"arxiv","id":"0704.2580","version":1},"attestation_state":"computed","paper":{"title":"Period-two cycles in a feed-forward layered neural network model with symmetric sequence processing","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"F. L. Metz, W. K. Theumann","submitted_at":"2007-04-19T18:23:25Z","abstract_excerpt":"The effects of dominant sequential interactions are investigated in an exactly solvable feed-forward layered neural network model of binary units and patterns near saturation in which the interaction consists of a Hebbian part and a symmetric sequential term. Phase diagrams of stationary states are obtained and a new phase of cyclic correlated states of period two is found for a weak Hebbian term, independently of the number of condensed patterns $c$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0704.2580","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2007-04-19T18:23:25Z","cross_cats_sorted":[],"title_canon_sha256":"d14390cf44646db35ce4f06559b5afae18f6dea06544f648d64096afb0a11adf","abstract_canon_sha256":"a5e5ebf2f3732d6aa60d80489b418e5d5c3384602d43386f0d6b6955e5585653"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:31.638503Z","signature_b64":"lSzeW5QmxxURPNcY+cB8xKZPi+8CK8yIQ2OAyuy2sYOpau0TlS7F7AFM9FuezmDPXRfhif47Zc4MkgVofDOzBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"920ad9098ce33800a6e0e91ad57ba84f6ddac94cb54c05f82563b4a46954544c","last_reissued_at":"2026-05-18T02:16:31.637869Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:31.637869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Period-two cycles in a feed-forward layered neural network model with symmetric sequence processing","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"F. L. Metz, W. K. Theumann","submitted_at":"2007-04-19T18:23:25Z","abstract_excerpt":"The effects of dominant sequential interactions are investigated in an exactly solvable feed-forward layered neural network model of binary units and patterns near saturation in which the interaction consists of a Hebbian part and a symmetric sequential term. Phase diagrams of stationary states are obtained and a new phase of cyclic correlated states of period two is found for a weak Hebbian term, independently of the number of condensed patterns $c$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.2580","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0704.2580","created_at":"2026-05-18T02:16:31.637983+00:00"},{"alias_kind":"arxiv_version","alias_value":"0704.2580v1","created_at":"2026-05-18T02:16:31.637983+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.2580","created_at":"2026-05-18T02:16:31.637983+00:00"},{"alias_kind":"pith_short_12","alias_value":"SIFNSCMM4M4A","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"SIFNSCMM4M4ABJXA","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"SIFNSCMM","created_at":"2026-05-18T12:25:56.245647+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SIFNSCMM4M4ABJXA5ENNK65IJ5","json":"https://pith.science/pith/SIFNSCMM4M4ABJXA5ENNK65IJ5.json","graph_json":"https://pith.science/api/pith-number/SIFNSCMM4M4ABJXA5ENNK65IJ5/graph.json","events_json":"https://pith.science/api/pith-number/SIFNSCMM4M4ABJXA5ENNK65IJ5/events.json","paper":"https://pith.science/paper/SIFNSCMM"},"agent_actions":{"view_html":"https://pith.science/pith/SIFNSCMM4M4ABJXA5ENNK65IJ5","download_json":"https://pith.science/pith/SIFNSCMM4M4ABJXA5ENNK65IJ5.json","view_paper":"https://pith.science/paper/SIFNSCMM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0704.2580&json=true","fetch_graph":"https://pith.science/api/pith-number/SIFNSCMM4M4ABJXA5ENNK65IJ5/graph.json","fetch_events":"https://pith.science/api/pith-number/SIFNSCMM4M4ABJXA5ENNK65IJ5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SIFNSCMM4M4ABJXA5ENNK65IJ5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SIFNSCMM4M4ABJXA5ENNK65IJ5/action/storage_attestation","attest_author":"https://pith.science/pith/SIFNSCMM4M4ABJXA5ENNK65IJ5/action/author_attestation","sign_citation":"https://pith.science/pith/SIFNSCMM4M4ABJXA5ENNK65IJ5/action/citation_signature","submit_replication":"https://pith.science/pith/SIFNSCMM4M4ABJXA5ENNK65IJ5/action/replication_record"}},"created_at":"2026-05-18T02:16:31.637983+00:00","updated_at":"2026-05-18T02:16:31.637983+00:00"}