{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QMUM5NWQ2UJVRPYTXYK7ASUTKT","short_pith_number":"pith:QMUM5NWQ","canonical_record":{"source":{"id":"1901.05530","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-01-16T21:18:03Z","cross_cats_sorted":[],"title_canon_sha256":"ae507c5d2562265faa8e14e0e89dabd4cd9207476539b68233b043e8b672523e","abstract_canon_sha256":"51dd009847208ccccdeed6105d4da70f050039d4bef9d7dad60714ceb24e69d4"},"schema_version":"1.0"},"canonical_sha256":"8328ceb6d0d51358bf13be15f04a9354c164fd64d3cadb03ab221ffb9441f110","source":{"kind":"arxiv","id":"1901.05530","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.05530","created_at":"2026-05-17T23:52:03Z"},{"alias_kind":"arxiv_version","alias_value":"1901.05530v3","created_at":"2026-05-17T23:52:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05530","created_at":"2026-05-17T23:52:03Z"},{"alias_kind":"pith_short_12","alias_value":"QMUM5NWQ2UJV","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QMUM5NWQ2UJVRPYT","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QMUM5NWQ","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QMUM5NWQ2UJVRPYTXYK7ASUTKT","target":"record","payload":{"canonical_record":{"source":{"id":"1901.05530","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-01-16T21:18:03Z","cross_cats_sorted":[],"title_canon_sha256":"ae507c5d2562265faa8e14e0e89dabd4cd9207476539b68233b043e8b672523e","abstract_canon_sha256":"51dd009847208ccccdeed6105d4da70f050039d4bef9d7dad60714ceb24e69d4"},"schema_version":"1.0"},"canonical_sha256":"8328ceb6d0d51358bf13be15f04a9354c164fd64d3cadb03ab221ffb9441f110","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:03.236733Z","signature_b64":"NRp+Z/qwFtQLWPn6de/F2iI6wkJ3n7lmyBJ63+00iLC65Q01PThNs01GVkdNl8yB3bwuLw//Qjsi8C8yByQZDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8328ceb6d0d51358bf13be15f04a9354c164fd64d3cadb03ab221ffb9441f110","last_reissued_at":"2026-05-17T23:52:03.236077Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:03.236077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.05530","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":"2026-05-17T23:52:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GAV1Y6nkBV1iaDtcAKfKhy3T6FSWfAstxFi++jVPSjRuIPZErgfEl8JQ90IS4Wr7i6l3MX2T1x0wunB3zXjuCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:31:03.050284Z"},"content_sha256":"75ae6805bc51b2f155f3f25d59b2f4d82a3438668e9eb6c37c52c820f8662215","schema_version":"1.0","event_id":"sha256:75ae6805bc51b2f155f3f25d59b2f4d82a3438668e9eb6c37c52c820f8662215"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QMUM5NWQ2UJVRPYTXYK7ASUTKT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Alexander V. Panfilov, Hans Dierckx, Henri Verschelde, Irina V. Biktasheva, Vadim N. Biktashev","submitted_at":"2019-01-16T21:18:03Z","abstract_excerpt":"In many oscillatory or excitable systems, dynamical patterns emerge which are stationary or periodic up in a moving frame of reference. Examples include traveling waves or spiral waves in chemical systems or cardiac tissue. We present a unified theoretical framework for the drift of such patterns under small external perturbations, in terms of overlap integrals between the perturbation and the adjoint critical eigenfunctions of the linearised operator (i.e. `response functions'). For spiral waves, the finite radius of the spiral tip trajectory as well as spiral wave meander are taken into acco"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05530","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":"2026-05-17T23:52:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XpDs4xZpo+Mhm6ibt0O2wgMz8DkVwK4/Kk+K6grI4St8/y9z71xeQVWvimZAkWptxm4VXMEr2qJjqQebOwv3DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:31:03.050997Z"},"content_sha256":"1aeae5efe3e9bd01f0e930c56c32bcb2ba586e11c0925c3b456e96f1b80c1114","schema_version":"1.0","event_id":"sha256:1aeae5efe3e9bd01f0e930c56c32bcb2ba586e11c0925c3b456e96f1b80c1114"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QMUM5NWQ2UJVRPYTXYK7ASUTKT/bundle.json","state_url":"https://pith.science/pith/QMUM5NWQ2UJVRPYTXYK7ASUTKT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QMUM5NWQ2UJVRPYTXYK7ASUTKT/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":"2026-06-11T07:31:03Z","links":{"resolver":"https://pith.science/pith/QMUM5NWQ2UJVRPYTXYK7ASUTKT","bundle":"https://pith.science/pith/QMUM5NWQ2UJVRPYTXYK7ASUTKT/bundle.json","state":"https://pith.science/pith/QMUM5NWQ2UJVRPYTXYK7ASUTKT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QMUM5NWQ2UJVRPYTXYK7ASUTKT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QMUM5NWQ2UJVRPYTXYK7ASUTKT","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":"51dd009847208ccccdeed6105d4da70f050039d4bef9d7dad60714ceb24e69d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-01-16T21:18:03Z","title_canon_sha256":"ae507c5d2562265faa8e14e0e89dabd4cd9207476539b68233b043e8b672523e"},"schema_version":"1.0","source":{"id":"1901.05530","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.05530","created_at":"2026-05-17T23:52:03Z"},{"alias_kind":"arxiv_version","alias_value":"1901.05530v3","created_at":"2026-05-17T23:52:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05530","created_at":"2026-05-17T23:52:03Z"},{"alias_kind":"pith_short_12","alias_value":"QMUM5NWQ2UJV","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QMUM5NWQ2UJVRPYT","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QMUM5NWQ","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:1aeae5efe3e9bd01f0e930c56c32bcb2ba586e11c0925c3b456e96f1b80c1114","target":"graph","created_at":"2026-05-17T23:52:03Z","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":"In many oscillatory or excitable systems, dynamical patterns emerge which are stationary or periodic up in a moving frame of reference. Examples include traveling waves or spiral waves in chemical systems or cardiac tissue. We present a unified theoretical framework for the drift of such patterns under small external perturbations, in terms of overlap integrals between the perturbation and the adjoint critical eigenfunctions of the linearised operator (i.e. `response functions'). For spiral waves, the finite radius of the spiral tip trajectory as well as spiral wave meander are taken into acco","authors_text":"Alexander V. Panfilov, Hans Dierckx, Henri Verschelde, Irina V. Biktasheva, Vadim N. Biktashev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-01-16T21:18:03Z","title":"A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05530","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":"sha256:75ae6805bc51b2f155f3f25d59b2f4d82a3438668e9eb6c37c52c820f8662215","target":"record","created_at":"2026-05-17T23:52:03Z","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":"51dd009847208ccccdeed6105d4da70f050039d4bef9d7dad60714ceb24e69d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2019-01-16T21:18:03Z","title_canon_sha256":"ae507c5d2562265faa8e14e0e89dabd4cd9207476539b68233b043e8b672523e"},"schema_version":"1.0","source":{"id":"1901.05530","kind":"arxiv","version":3}},"canonical_sha256":"8328ceb6d0d51358bf13be15f04a9354c164fd64d3cadb03ab221ffb9441f110","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8328ceb6d0d51358bf13be15f04a9354c164fd64d3cadb03ab221ffb9441f110","first_computed_at":"2026-05-17T23:52:03.236077Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:03.236077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NRp+Z/qwFtQLWPn6de/F2iI6wkJ3n7lmyBJ63+00iLC65Q01PThNs01GVkdNl8yB3bwuLw//Qjsi8C8yByQZDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:03.236733Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.05530","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75ae6805bc51b2f155f3f25d59b2f4d82a3438668e9eb6c37c52c820f8662215","sha256:1aeae5efe3e9bd01f0e930c56c32bcb2ba586e11c0925c3b456e96f1b80c1114"],"state_sha256":"af6bd613af774796a9605087d491401ac6ccb7e653fba4575c560a660ac528cf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"geS4/TxQkKUcThI8ObC/IMn7kUD6JUsx75vJAdNh6MKP+Af6thCXWBuiqWxdyLNEfBzgYXqAdyJlNeYRbir+CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T07:31:03.055082Z","bundle_sha256":"8b35fcdbc804b4c6d82b1a5939b31eca231c1828e1ef86d774cdc7b0bdb91d5e"}}