{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:3ZZ4AFSBG5TBLT6VZW7T7VGZVG","short_pith_number":"pith:3ZZ4AFSB","schema_version":"1.0","canonical_sha256":"de73c01641376615cfd5cdbf3fd4d9a9a4fde02016cb8d867578bba6ea41991d","source":{"kind":"arxiv","id":"2011.11710","version":2},"attestation_state":"computed","paper":{"title":"Natural-gradient learning for spiking neurons","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.NE","math.DG","stat.CO"],"primary_cat":"q-bio.NC","authors_text":"Elena Kreutzer, Mihai A. Petrovici, Walter M. Senn","submitted_at":"2020-11-23T20:26:37Z","abstract_excerpt":"In many normative theories of synaptic plasticity, weight updates implicitly depend on the chosen parametrization of the weights. This problem relates, for example, to neuronal morphology: synapses which are functionally equivalent in terms of their impact on somatic firing can differ substantially in spine size due to their different positions along the dendritic tree. Classical theories based on Euclidean gradient descent can easily lead to inconsistencies due to such parametrization dependence. The issues are solved in the framework of Riemannian geometry, in which we propose that plasticit"},"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":"2011.11710","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"q-bio.NC","submitted_at":"2020-11-23T20:26:37Z","cross_cats_sorted":["cs.NE","math.DG","stat.CO"],"title_canon_sha256":"1ac15a97baeb5080f14f605cd628e8e9142a4cc40d630e18070eda286811b8f2","abstract_canon_sha256":"eaa012b819c07b00d767af87377284d68aac629e590723df011da0b4687febeb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:59:37.508805Z","signature_b64":"xeGK6SvL6kLN1Z+4bR1HYeGrYR2SI/4eiTHCF0V+w+FWJsjvx0SDRidjxY/SFh77EtmZD11U6O5oDiueNec/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de73c01641376615cfd5cdbf3fd4d9a9a4fde02016cb8d867578bba6ea41991d","last_reissued_at":"2026-07-05T03:59:37.508457Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:59:37.508457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Natural-gradient learning for spiking neurons","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.NE","math.DG","stat.CO"],"primary_cat":"q-bio.NC","authors_text":"Elena Kreutzer, Mihai A. Petrovici, Walter M. Senn","submitted_at":"2020-11-23T20:26:37Z","abstract_excerpt":"In many normative theories of synaptic plasticity, weight updates implicitly depend on the chosen parametrization of the weights. This problem relates, for example, to neuronal morphology: synapses which are functionally equivalent in terms of their impact on somatic firing can differ substantially in spine size due to their different positions along the dendritic tree. Classical theories based on Euclidean gradient descent can easily lead to inconsistencies due to such parametrization dependence. The issues are solved in the framework of Riemannian geometry, in which we propose that plasticit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.11710","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/2011.11710/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":"2011.11710","created_at":"2026-07-05T03:59:37.508517+00:00"},{"alias_kind":"arxiv_version","alias_value":"2011.11710v2","created_at":"2026-07-05T03:59:37.508517+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.11710","created_at":"2026-07-05T03:59:37.508517+00:00"},{"alias_kind":"pith_short_12","alias_value":"3ZZ4AFSBG5TB","created_at":"2026-07-05T03:59:37.508517+00:00"},{"alias_kind":"pith_short_16","alias_value":"3ZZ4AFSBG5TBLT6V","created_at":"2026-07-05T03:59:37.508517+00:00"},{"alias_kind":"pith_short_8","alias_value":"3ZZ4AFSB","created_at":"2026-07-05T03:59:37.508517+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/3ZZ4AFSBG5TBLT6VZW7T7VGZVG","json":"https://pith.science/pith/3ZZ4AFSBG5TBLT6VZW7T7VGZVG.json","graph_json":"https://pith.science/api/pith-number/3ZZ4AFSBG5TBLT6VZW7T7VGZVG/graph.json","events_json":"https://pith.science/api/pith-number/3ZZ4AFSBG5TBLT6VZW7T7VGZVG/events.json","paper":"https://pith.science/paper/3ZZ4AFSB"},"agent_actions":{"view_html":"https://pith.science/pith/3ZZ4AFSBG5TBLT6VZW7T7VGZVG","download_json":"https://pith.science/pith/3ZZ4AFSBG5TBLT6VZW7T7VGZVG.json","view_paper":"https://pith.science/paper/3ZZ4AFSB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2011.11710&json=true","fetch_graph":"https://pith.science/api/pith-number/3ZZ4AFSBG5TBLT6VZW7T7VGZVG/graph.json","fetch_events":"https://pith.science/api/pith-number/3ZZ4AFSBG5TBLT6VZW7T7VGZVG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3ZZ4AFSBG5TBLT6VZW7T7VGZVG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3ZZ4AFSBG5TBLT6VZW7T7VGZVG/action/storage_attestation","attest_author":"https://pith.science/pith/3ZZ4AFSBG5TBLT6VZW7T7VGZVG/action/author_attestation","sign_citation":"https://pith.science/pith/3ZZ4AFSBG5TBLT6VZW7T7VGZVG/action/citation_signature","submit_replication":"https://pith.science/pith/3ZZ4AFSBG5TBLT6VZW7T7VGZVG/action/replication_record"}},"created_at":"2026-07-05T03:59:37.508517+00:00","updated_at":"2026-07-05T03:59:37.508517+00:00"}