{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:HEUO24F62BNGQQI25MTPQHLZXR","short_pith_number":"pith:HEUO24F6","schema_version":"1.0","canonical_sha256":"3928ed70bed05a68411aeb26f81d79bc65bf50e25edf9228ad5e756ffdc36530","source":{"kind":"arxiv","id":"1105.2801","version":2},"attestation_state":"computed","paper":{"title":"The geometry of spontaneous spiking in neuronal networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"nlin.PS","authors_text":"Georgi S. Medvedev, Svitlana Zhuravytska","submitted_at":"2011-05-13T18:41:15Z","abstract_excerpt":"The mathematical theory of pattern formation in electrically coupled networks of excitable neurons forced by small noise is presented in this work. Using the Freidlin-Wentzell large deviation theory for randomly perturbed dynamical systems and the elements of the algebraic graph theory, we identify and analyze the main regimes in the network dynamics in terms of the key control parameters: excitability, coupling strength, and network topology. The analysis reveals the geometry of spontaneous dynamics in electrically coupled network. Specifically, we show that the location of the minima of a ce"},"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":"1105.2801","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2011-05-13T18:41:15Z","cross_cats_sorted":["q-bio.NC"],"title_canon_sha256":"57335d5cb86bab9e17a22b39aae9af76249d2b6cb869870a8ff8d3cb324bb367","abstract_canon_sha256":"1eb17d8b37925862f5d0368725a50d314d1e4dce4a933221bec67164c1d06828"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:26.238740Z","signature_b64":"JTkkMBlz1K7OX4YPd1oPVizaRLjTfxQeixD+HRiTjT6OamhVBXb63dMBn0Mn4j6ci/TY0DQ1Yo8BDstdgVjFBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3928ed70bed05a68411aeb26f81d79bc65bf50e25edf9228ad5e756ffdc36530","last_reissued_at":"2026-05-18T03:54:26.238296Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:26.238296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The geometry of spontaneous spiking in neuronal networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.NC"],"primary_cat":"nlin.PS","authors_text":"Georgi S. Medvedev, Svitlana Zhuravytska","submitted_at":"2011-05-13T18:41:15Z","abstract_excerpt":"The mathematical theory of pattern formation in electrically coupled networks of excitable neurons forced by small noise is presented in this work. Using the Freidlin-Wentzell large deviation theory for randomly perturbed dynamical systems and the elements of the algebraic graph theory, we identify and analyze the main regimes in the network dynamics in terms of the key control parameters: excitability, coupling strength, and network topology. The analysis reveals the geometry of spontaneous dynamics in electrically coupled network. Specifically, we show that the location of the minima of a ce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2801","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":""},"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":"1105.2801","created_at":"2026-05-18T03:54:26.238375+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.2801v2","created_at":"2026-05-18T03:54:26.238375+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2801","created_at":"2026-05-18T03:54:26.238375+00:00"},{"alias_kind":"pith_short_12","alias_value":"HEUO24F62BNG","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"HEUO24F62BNGQQI2","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"HEUO24F6","created_at":"2026-05-18T12:26:30.835961+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/HEUO24F62BNGQQI25MTPQHLZXR","json":"https://pith.science/pith/HEUO24F62BNGQQI25MTPQHLZXR.json","graph_json":"https://pith.science/api/pith-number/HEUO24F62BNGQQI25MTPQHLZXR/graph.json","events_json":"https://pith.science/api/pith-number/HEUO24F62BNGQQI25MTPQHLZXR/events.json","paper":"https://pith.science/paper/HEUO24F6"},"agent_actions":{"view_html":"https://pith.science/pith/HEUO24F62BNGQQI25MTPQHLZXR","download_json":"https://pith.science/pith/HEUO24F62BNGQQI25MTPQHLZXR.json","view_paper":"https://pith.science/paper/HEUO24F6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.2801&json=true","fetch_graph":"https://pith.science/api/pith-number/HEUO24F62BNGQQI25MTPQHLZXR/graph.json","fetch_events":"https://pith.science/api/pith-number/HEUO24F62BNGQQI25MTPQHLZXR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HEUO24F62BNGQQI25MTPQHLZXR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HEUO24F62BNGQQI25MTPQHLZXR/action/storage_attestation","attest_author":"https://pith.science/pith/HEUO24F62BNGQQI25MTPQHLZXR/action/author_attestation","sign_citation":"https://pith.science/pith/HEUO24F62BNGQQI25MTPQHLZXR/action/citation_signature","submit_replication":"https://pith.science/pith/HEUO24F62BNGQQI25MTPQHLZXR/action/replication_record"}},"created_at":"2026-05-18T03:54:26.238375+00:00","updated_at":"2026-05-18T03:54:26.238375+00:00"}