{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:72SNFFOS65HSNRGC4TYNFGR3JK","short_pith_number":"pith:72SNFFOS","schema_version":"1.0","canonical_sha256":"fea4d295d2f74f26c4c2e4f0d29a3b4ab67b089905f34e3a52af5866abeeebed","source":{"kind":"arxiv","id":"2606.24588","version":1},"attestation_state":"computed","paper":{"title":"Spatial Partial Functionalization of Neural Networks based on Noise Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Fabio DallaLibera, Shuhei Ikemoto","submitted_at":"2026-06-23T13:50:50Z","abstract_excerpt":"Noise in neural computation is typically regarded as a disturbance, but its spatial distribution may also actively regulate which parts of a network participate in computation. This paper investigates the spatial partial functionalization of Noise-modulated Neural Networks using noise fields. We first present an activation function suitable for this goal, the crossing activation function, using the sample-level, statistical-level, and analytical-level implementations, and examine parameter reuse across these implementations. We then introduce a virtual noise field, an auxiliary continuous spac"},"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":"2606.24588","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2026-06-23T13:50:50Z","cross_cats_sorted":[],"title_canon_sha256":"5f7ea1d29be4b9cc1bc9bc252e556c1ba78bb27baa621524f7dd17f567958a00","abstract_canon_sha256":"f60687747da9d61635f89913e1ef7a903d402fa0bbda0dd0fa95bf5648577f00"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:15:36.171482Z","signature_b64":"HhFLh3eArml/4tB6/8xNX79tLudlO/MphxouPfKC6chisDrNusjglVEV5BSaE/DESg2YObPI7lj2RnMpJlTmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fea4d295d2f74f26c4c2e4f0d29a3b4ab67b089905f34e3a52af5866abeeebed","last_reissued_at":"2026-06-24T01:15:36.171096Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:15:36.171096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spatial Partial Functionalization of Neural Networks based on Noise Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Fabio DallaLibera, Shuhei Ikemoto","submitted_at":"2026-06-23T13:50:50Z","abstract_excerpt":"Noise in neural computation is typically regarded as a disturbance, but its spatial distribution may also actively regulate which parts of a network participate in computation. This paper investigates the spatial partial functionalization of Noise-modulated Neural Networks using noise fields. We first present an activation function suitable for this goal, the crossing activation function, using the sample-level, statistical-level, and analytical-level implementations, and examine parameter reuse across these implementations. We then introduce a virtual noise field, an auxiliary continuous spac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24588","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/2606.24588/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.24588","created_at":"2026-06-24T01:15:36.171156+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.24588v1","created_at":"2026-06-24T01:15:36.171156+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24588","created_at":"2026-06-24T01:15:36.171156+00:00"},{"alias_kind":"pith_short_12","alias_value":"72SNFFOS65HS","created_at":"2026-06-24T01:15:36.171156+00:00"},{"alias_kind":"pith_short_16","alias_value":"72SNFFOS65HSNRGC","created_at":"2026-06-24T01:15:36.171156+00:00"},{"alias_kind":"pith_short_8","alias_value":"72SNFFOS","created_at":"2026-06-24T01:15:36.171156+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/72SNFFOS65HSNRGC4TYNFGR3JK","json":"https://pith.science/pith/72SNFFOS65HSNRGC4TYNFGR3JK.json","graph_json":"https://pith.science/api/pith-number/72SNFFOS65HSNRGC4TYNFGR3JK/graph.json","events_json":"https://pith.science/api/pith-number/72SNFFOS65HSNRGC4TYNFGR3JK/events.json","paper":"https://pith.science/paper/72SNFFOS"},"agent_actions":{"view_html":"https://pith.science/pith/72SNFFOS65HSNRGC4TYNFGR3JK","download_json":"https://pith.science/pith/72SNFFOS65HSNRGC4TYNFGR3JK.json","view_paper":"https://pith.science/paper/72SNFFOS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.24588&json=true","fetch_graph":"https://pith.science/api/pith-number/72SNFFOS65HSNRGC4TYNFGR3JK/graph.json","fetch_events":"https://pith.science/api/pith-number/72SNFFOS65HSNRGC4TYNFGR3JK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/72SNFFOS65HSNRGC4TYNFGR3JK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/72SNFFOS65HSNRGC4TYNFGR3JK/action/storage_attestation","attest_author":"https://pith.science/pith/72SNFFOS65HSNRGC4TYNFGR3JK/action/author_attestation","sign_citation":"https://pith.science/pith/72SNFFOS65HSNRGC4TYNFGR3JK/action/citation_signature","submit_replication":"https://pith.science/pith/72SNFFOS65HSNRGC4TYNFGR3JK/action/replication_record"}},"created_at":"2026-06-24T01:15:36.171156+00:00","updated_at":"2026-06-24T01:15:36.171156+00:00"}