{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:CR35QJ3E4XG7MXLMGSBZMNKIL2","short_pith_number":"pith:CR35QJ3E","schema_version":"1.0","canonical_sha256":"1477d82764e5cdf65d6c34839635485e9280282ee3a642251dbe7689cab3125a","source":{"kind":"arxiv","id":"1311.6508","version":1},"attestation_state":"computed","paper":{"title":"Existence of pulses in excitable media with nonlocal coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Arnd Scheel, Gregory Faye","submitted_at":"2013-11-25T22:44:32Z","abstract_excerpt":"We prove the existence of fast traveling pulse solutions in excitable media with non-local coupling. Existence results had been known, until now, in the case of local, diffusive coupling and in the case of a discrete medium, with finite-range, non-local coupling. Our approach replaces methods from geometric singular perturbation theory, that had been crucial in previous existence proofs, by a PDE oriented approach, relying on exponential weights, Fredholm theory, and commutator estimates."},"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":"1311.6508","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-11-25T22:44:32Z","cross_cats_sorted":[],"title_canon_sha256":"cf17ab0108ae683421ac3aaa48ffecba7299bdfde370cfe0a9eb73fecc005c30","abstract_canon_sha256":"a818e8c5d1180aceb949a9c813b77dab2c1000f0461e4ceee2300022bb9efc91"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:12.477172Z","signature_b64":"azweXAJfZmmPv6xrF6MgQVEpBdc+2RinlhPdZmE06J989uSkMEmZ2Cu00x9UGH6rOF1A2txOLw/6YkeSr3gxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1477d82764e5cdf65d6c34839635485e9280282ee3a642251dbe7689cab3125a","last_reissued_at":"2026-05-18T03:06:12.476618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:12.476618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence of pulses in excitable media with nonlocal coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Arnd Scheel, Gregory Faye","submitted_at":"2013-11-25T22:44:32Z","abstract_excerpt":"We prove the existence of fast traveling pulse solutions in excitable media with non-local coupling. Existence results had been known, until now, in the case of local, diffusive coupling and in the case of a discrete medium, with finite-range, non-local coupling. Our approach replaces methods from geometric singular perturbation theory, that had been crucial in previous existence proofs, by a PDE oriented approach, relying on exponential weights, Fredholm theory, and commutator estimates."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6508","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":"1311.6508","created_at":"2026-05-18T03:06:12.476697+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.6508v1","created_at":"2026-05-18T03:06:12.476697+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6508","created_at":"2026-05-18T03:06:12.476697+00:00"},{"alias_kind":"pith_short_12","alias_value":"CR35QJ3E4XG7","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"CR35QJ3E4XG7MXLM","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"CR35QJ3E","created_at":"2026-05-18T12:27:40.988391+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/CR35QJ3E4XG7MXLMGSBZMNKIL2","json":"https://pith.science/pith/CR35QJ3E4XG7MXLMGSBZMNKIL2.json","graph_json":"https://pith.science/api/pith-number/CR35QJ3E4XG7MXLMGSBZMNKIL2/graph.json","events_json":"https://pith.science/api/pith-number/CR35QJ3E4XG7MXLMGSBZMNKIL2/events.json","paper":"https://pith.science/paper/CR35QJ3E"},"agent_actions":{"view_html":"https://pith.science/pith/CR35QJ3E4XG7MXLMGSBZMNKIL2","download_json":"https://pith.science/pith/CR35QJ3E4XG7MXLMGSBZMNKIL2.json","view_paper":"https://pith.science/paper/CR35QJ3E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.6508&json=true","fetch_graph":"https://pith.science/api/pith-number/CR35QJ3E4XG7MXLMGSBZMNKIL2/graph.json","fetch_events":"https://pith.science/api/pith-number/CR35QJ3E4XG7MXLMGSBZMNKIL2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CR35QJ3E4XG7MXLMGSBZMNKIL2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CR35QJ3E4XG7MXLMGSBZMNKIL2/action/storage_attestation","attest_author":"https://pith.science/pith/CR35QJ3E4XG7MXLMGSBZMNKIL2/action/author_attestation","sign_citation":"https://pith.science/pith/CR35QJ3E4XG7MXLMGSBZMNKIL2/action/citation_signature","submit_replication":"https://pith.science/pith/CR35QJ3E4XG7MXLMGSBZMNKIL2/action/replication_record"}},"created_at":"2026-05-18T03:06:12.476697+00:00","updated_at":"2026-05-18T03:06:12.476697+00:00"}