{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:R44PA564ATUHTRIEIAOKWDO5PB","short_pith_number":"pith:R44PA564","canonical_record":{"source":{"id":"1404.4289","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-16T15:47:14Z","cross_cats_sorted":[],"title_canon_sha256":"ff9cd7df3f4bd524e83ec79359ec213a24a283dd19314e09b71c095ad35f9b03","abstract_canon_sha256":"8f1e30bd5971067d314df54e9f219863f8bbaebe4b317e1b5a655652f65049b8"},"schema_version":"1.0"},"canonical_sha256":"8f38f077dc04e879c504401cab0ddd78693b879df959460bcc89796b6ca069b0","source":{"kind":"arxiv","id":"1404.4289","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4289","created_at":"2026-05-18T01:43:29Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4289v3","created_at":"2026-05-18T01:43:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4289","created_at":"2026-05-18T01:43:29Z"},{"alias_kind":"pith_short_12","alias_value":"R44PA564ATUH","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"R44PA564ATUHTRIE","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"R44PA564","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:R44PA564ATUHTRIEIAOKWDO5PB","target":"record","payload":{"canonical_record":{"source":{"id":"1404.4289","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-16T15:47:14Z","cross_cats_sorted":[],"title_canon_sha256":"ff9cd7df3f4bd524e83ec79359ec213a24a283dd19314e09b71c095ad35f9b03","abstract_canon_sha256":"8f1e30bd5971067d314df54e9f219863f8bbaebe4b317e1b5a655652f65049b8"},"schema_version":"1.0"},"canonical_sha256":"8f38f077dc04e879c504401cab0ddd78693b879df959460bcc89796b6ca069b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:29.354619Z","signature_b64":"6g0nxpOTeB4IWaG9pL3BkH9XB9Txw1mJfv+Z2K9fVkIYbE/Jpj4xcNOEF7CvTV+WokVQZthrDkH1naxF8eDCCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f38f077dc04e879c504401cab0ddd78693b879df959460bcc89796b6ca069b0","last_reissued_at":"2026-05-18T01:43:29.354097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:29.354097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.4289","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:43:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Bk0N9rPicWsQekgYQz8s+NL4YOScIaxPextO5H+IMVEX0kMmq+Gu2Ma8CSaokrX1k59C3EM1NV02N8qMvPCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:43:03.584747Z"},"content_sha256":"56d50be9d2f8ea383106c707681313333906f415c611f7cee867d85985d5b593","schema_version":"1.0","event_id":"sha256:56d50be9d2f8ea383106c707681313333906f415c611f7cee867d85985d5b593"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:R44PA564ATUHTRIEIAOKWDO5PB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlocal control of pulse propagation in excitable media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Clemens A. Bachmair, Eckehard Sch\\\"oll","submitted_at":"2014-04-16T15:47:14Z","abstract_excerpt":"We study the effects of nonlocal control of pulse propagation in excitable media. As a generic example for an excitable medium the FitzHugh-Nagumo model with diffusion in the activator variable is considered. Nonlocal coupling in form of an integral term with a spatial kernel is added. We find that the nonlocal coupling modifies the propagating pulses of the reaction-diffusion system such that a variety of spatio-temporal patterns are generated including acceleration, deceleration, suppression, or generation of pulses, multiple pulses, and blinking pulse trains. It is shown that one can observ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4289","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:43:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9VjpmNfXb46/NmDLvVNid706TnDyNTBcOnbj3PONAxhspmLo9EHHRsGx/BqWvt/dewZoW8a6rOhL386KHMgoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:43:03.585460Z"},"content_sha256":"40f213da3035b144d2310f492b32380e29d285ece3e9864d29c299a0ca37593d","schema_version":"1.0","event_id":"sha256:40f213da3035b144d2310f492b32380e29d285ece3e9864d29c299a0ca37593d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R44PA564ATUHTRIEIAOKWDO5PB/bundle.json","state_url":"https://pith.science/pith/R44PA564ATUHTRIEIAOKWDO5PB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R44PA564ATUHTRIEIAOKWDO5PB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T22:43:03Z","links":{"resolver":"https://pith.science/pith/R44PA564ATUHTRIEIAOKWDO5PB","bundle":"https://pith.science/pith/R44PA564ATUHTRIEIAOKWDO5PB/bundle.json","state":"https://pith.science/pith/R44PA564ATUHTRIEIAOKWDO5PB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R44PA564ATUHTRIEIAOKWDO5PB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:R44PA564ATUHTRIEIAOKWDO5PB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8f1e30bd5971067d314df54e9f219863f8bbaebe4b317e1b5a655652f65049b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-16T15:47:14Z","title_canon_sha256":"ff9cd7df3f4bd524e83ec79359ec213a24a283dd19314e09b71c095ad35f9b03"},"schema_version":"1.0","source":{"id":"1404.4289","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4289","created_at":"2026-05-18T01:43:29Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4289v3","created_at":"2026-05-18T01:43:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4289","created_at":"2026-05-18T01:43:29Z"},{"alias_kind":"pith_short_12","alias_value":"R44PA564ATUH","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"R44PA564ATUHTRIE","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"R44PA564","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:40f213da3035b144d2310f492b32380e29d285ece3e9864d29c299a0ca37593d","target":"graph","created_at":"2026-05-18T01:43:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study the effects of nonlocal control of pulse propagation in excitable media. As a generic example for an excitable medium the FitzHugh-Nagumo model with diffusion in the activator variable is considered. Nonlocal coupling in form of an integral term with a spatial kernel is added. We find that the nonlocal coupling modifies the propagating pulses of the reaction-diffusion system such that a variety of spatio-temporal patterns are generated including acceleration, deceleration, suppression, or generation of pulses, multiple pulses, and blinking pulse trains. It is shown that one can observ","authors_text":"Clemens A. Bachmair, Eckehard Sch\\\"oll","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-16T15:47:14Z","title":"Nonlocal control of pulse propagation in excitable media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4289","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:56d50be9d2f8ea383106c707681313333906f415c611f7cee867d85985d5b593","target":"record","created_at":"2026-05-18T01:43:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8f1e30bd5971067d314df54e9f219863f8bbaebe4b317e1b5a655652f65049b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2014-04-16T15:47:14Z","title_canon_sha256":"ff9cd7df3f4bd524e83ec79359ec213a24a283dd19314e09b71c095ad35f9b03"},"schema_version":"1.0","source":{"id":"1404.4289","kind":"arxiv","version":3}},"canonical_sha256":"8f38f077dc04e879c504401cab0ddd78693b879df959460bcc89796b6ca069b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f38f077dc04e879c504401cab0ddd78693b879df959460bcc89796b6ca069b0","first_computed_at":"2026-05-18T01:43:29.354097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:29.354097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6g0nxpOTeB4IWaG9pL3BkH9XB9Txw1mJfv+Z2K9fVkIYbE/Jpj4xcNOEF7CvTV+WokVQZthrDkH1naxF8eDCCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:29.354619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.4289","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56d50be9d2f8ea383106c707681313333906f415c611f7cee867d85985d5b593","sha256:40f213da3035b144d2310f492b32380e29d285ece3e9864d29c299a0ca37593d"],"state_sha256":"2b2585cb5322ae9386056566007085feac5211000eca764bc8827f56c109ce21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cs5Ib9c+8FowHN+ijXqsE2trSpFWyj/N1tUsqgcIXfsldwWF4bOHVlELSVBVknrGrfPqqxLcH9As0ZpoQyBXAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:43:03.589519Z","bundle_sha256":"8f020a4a3e65408dfa61ca334bbbbabe5ada13c6d065434cdb3e903e2aa35b52"}}