{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:EXZVF3CLFCYIAW4GS6U73LWRTB","short_pith_number":"pith:EXZVF3CL","schema_version":"1.0","canonical_sha256":"25f352ec4b28b0805b8697a9fdaed19878395a52635bda2cd96dfe1df8a1acb2","source":{"kind":"arxiv","id":"2010.10253","version":2},"attestation_state":"computed","paper":{"title":"Proliferation of non-linear excitations in the piecewise-linear perceptron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Antonio Sclocchi, Pierfrancesco Urbani","submitted_at":"2020-10-20T13:29:22Z","abstract_excerpt":"We investigate the properties of local minima of the energy landscape of a continuous non-convex optimization problem, the spherical perceptron with piecewise linear cost function and show that they are critical, marginally stable and displaying a set of pseudogaps, singularities and non-linear excitations whose properties appear to be in the same universality class of jammed packings of hard spheres. The piecewise linear perceptron problem appears as an evolution of the purely linear perceptron optimization problem that has been recently investigated in [1]. Its cost function contains two non"},"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":"2010.10253","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2020-10-20T13:29:22Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"8e4cef5886323bb50bf00965a3837e8daf52580d388a8cab1bcc9c905afc4345","abstract_canon_sha256":"ee7e04fb13d7a04e089293b39171d23b9601eb02b2db67f2b4478dae636f12b4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:09:48.918202Z","signature_b64":"VvG15WjAnQNP69yRhc8s3fHvqTzNXjcD1RWd+kStm52MAl1GiPcU1gV9Jhp6gHOSfwd83WuhGW6DQqaFl5miAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25f352ec4b28b0805b8697a9fdaed19878395a52635bda2cd96dfe1df8a1acb2","last_reissued_at":"2026-07-05T02:09:48.917624Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:09:48.917624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Proliferation of non-linear excitations in the piecewise-linear perceptron","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Antonio Sclocchi, Pierfrancesco Urbani","submitted_at":"2020-10-20T13:29:22Z","abstract_excerpt":"We investigate the properties of local minima of the energy landscape of a continuous non-convex optimization problem, the spherical perceptron with piecewise linear cost function and show that they are critical, marginally stable and displaying a set of pseudogaps, singularities and non-linear excitations whose properties appear to be in the same universality class of jammed packings of hard spheres. The piecewise linear perceptron problem appears as an evolution of the purely linear perceptron optimization problem that has been recently investigated in [1]. Its cost function contains two non"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.10253","kind":"arxiv","version":2},"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/2010.10253/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":"2010.10253","created_at":"2026-07-05T02:09:48.917688+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.10253v2","created_at":"2026-07-05T02:09:48.917688+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.10253","created_at":"2026-07-05T02:09:48.917688+00:00"},{"alias_kind":"pith_short_12","alias_value":"EXZVF3CLFCYI","created_at":"2026-07-05T02:09:48.917688+00:00"},{"alias_kind":"pith_short_16","alias_value":"EXZVF3CLFCYIAW4G","created_at":"2026-07-05T02:09:48.917688+00:00"},{"alias_kind":"pith_short_8","alias_value":"EXZVF3CL","created_at":"2026-07-05T02:09:48.917688+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/EXZVF3CLFCYIAW4GS6U73LWRTB","json":"https://pith.science/pith/EXZVF3CLFCYIAW4GS6U73LWRTB.json","graph_json":"https://pith.science/api/pith-number/EXZVF3CLFCYIAW4GS6U73LWRTB/graph.json","events_json":"https://pith.science/api/pith-number/EXZVF3CLFCYIAW4GS6U73LWRTB/events.json","paper":"https://pith.science/paper/EXZVF3CL"},"agent_actions":{"view_html":"https://pith.science/pith/EXZVF3CLFCYIAW4GS6U73LWRTB","download_json":"https://pith.science/pith/EXZVF3CLFCYIAW4GS6U73LWRTB.json","view_paper":"https://pith.science/paper/EXZVF3CL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.10253&json=true","fetch_graph":"https://pith.science/api/pith-number/EXZVF3CLFCYIAW4GS6U73LWRTB/graph.json","fetch_events":"https://pith.science/api/pith-number/EXZVF3CLFCYIAW4GS6U73LWRTB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EXZVF3CLFCYIAW4GS6U73LWRTB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EXZVF3CLFCYIAW4GS6U73LWRTB/action/storage_attestation","attest_author":"https://pith.science/pith/EXZVF3CLFCYIAW4GS6U73LWRTB/action/author_attestation","sign_citation":"https://pith.science/pith/EXZVF3CLFCYIAW4GS6U73LWRTB/action/citation_signature","submit_replication":"https://pith.science/pith/EXZVF3CLFCYIAW4GS6U73LWRTB/action/replication_record"}},"created_at":"2026-07-05T02:09:48.917688+00:00","updated_at":"2026-07-05T02:09:48.917688+00:00"}