{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ILJJ6VWM7XBZOPYWB664BVAJX4","short_pith_number":"pith:ILJJ6VWM","canonical_record":{"source":{"id":"1505.00208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-05-01T16:02:27Z","cross_cats_sorted":[],"title_canon_sha256":"3ba37c4eaf7848cdd396eb4ebce4865398e2fbd2b8b2b3cafa1e7c34d906e550","abstract_canon_sha256":"4858aba1fe65150e87de18a7020d5a2a28f6411704a2cefac259e248871792ed"},"schema_version":"1.0"},"canonical_sha256":"42d29f56ccfdc3973f160fbdc0d409bf214b67e839934b03c865ba548555b32d","source":{"kind":"arxiv","id":"1505.00208","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00208","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00208v1","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00208","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"pith_short_12","alias_value":"ILJJ6VWM7XBZ","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"ILJJ6VWM7XBZOPYW","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"ILJJ6VWM","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ILJJ6VWM7XBZOPYWB664BVAJX4","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00208","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-05-01T16:02:27Z","cross_cats_sorted":[],"title_canon_sha256":"3ba37c4eaf7848cdd396eb4ebce4865398e2fbd2b8b2b3cafa1e7c34d906e550","abstract_canon_sha256":"4858aba1fe65150e87de18a7020d5a2a28f6411704a2cefac259e248871792ed"},"schema_version":"1.0"},"canonical_sha256":"42d29f56ccfdc3973f160fbdc0d409bf214b67e839934b03c865ba548555b32d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:50.706830Z","signature_b64":"C9U3OGLpTEvMwnXfl47rzPmtv974mVF5JwiQXphGR+eHKcpV5mNqBPqpqqBHlksmI1c4bwgToLhNRcG/J1wpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42d29f56ccfdc3973f160fbdc0d409bf214b67e839934b03c865ba548555b32d","last_reissued_at":"2026-05-18T01:16:50.706126Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:50.706126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00208","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a3rSjh/PZtlisfDUtC0uiE60BX/lJQG/TAAKRpcRPxUMPUt4DmQcSJcWQ8q5AH5gK0604JK9JY/thIEU6VWhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:49:54.469944Z"},"content_sha256":"67142c0207fb7de549d4e23743f62e6ee880945ebbf57b1765011468695dfd9b","schema_version":"1.0","event_id":"sha256:67142c0207fb7de549d4e23743f62e6ee880945ebbf57b1765011468695dfd9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ILJJ6VWM7XBZOPYWB664BVAJX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Traveling Wave Solutions in a Chain of periodically Forced Couple Nonlinear Oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"Anna Vainchtein, Jonathan Rubin, Mei Duanmu, Nathaniel Whitaker, Panos Kevrekidis","submitted_at":"2015-05-01T16:02:27Z","abstract_excerpt":"Motivated by earlier studies of artificial perceptions of light called phosphenes, we analyze traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators modeling this phenomenon. We examine the discrete model problem in its co-traveling frame and systematically obtain the corresponding traveling waves in one spatial dimension. Direct numerical simulations as well as linear stability analysis are employed to reveal the parameter regions where the traveling waves are stable, and these waves are, in turn, connected to the standing waves analyzed in earlier work. We a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00208","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bu5u1JgrlwIFgCzSJyzwakO44WrQTiOhEpdGOYR5oAFY+rB3MRCyn+Mu+n87SVg3JGOXlQa9gRyxZgZ33szgDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T09:49:54.470284Z"},"content_sha256":"9bcd3a96398acdd954350a908d5f271b42c4b2fe9eb18915a278d9b43fc80ad1","schema_version":"1.0","event_id":"sha256:9bcd3a96398acdd954350a908d5f271b42c4b2fe9eb18915a278d9b43fc80ad1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ILJJ6VWM7XBZOPYWB664BVAJX4/bundle.json","state_url":"https://pith.science/pith/ILJJ6VWM7XBZOPYWB664BVAJX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ILJJ6VWM7XBZOPYWB664BVAJX4/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":"2026-06-26T09:49:54Z","links":{"resolver":"https://pith.science/pith/ILJJ6VWM7XBZOPYWB664BVAJX4","bundle":"https://pith.science/pith/ILJJ6VWM7XBZOPYWB664BVAJX4/bundle.json","state":"https://pith.science/pith/ILJJ6VWM7XBZOPYWB664BVAJX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ILJJ6VWM7XBZOPYWB664BVAJX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ILJJ6VWM7XBZOPYWB664BVAJX4","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":"4858aba1fe65150e87de18a7020d5a2a28f6411704a2cefac259e248871792ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-05-01T16:02:27Z","title_canon_sha256":"3ba37c4eaf7848cdd396eb4ebce4865398e2fbd2b8b2b3cafa1e7c34d906e550"},"schema_version":"1.0","source":{"id":"1505.00208","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00208","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00208v1","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00208","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"pith_short_12","alias_value":"ILJJ6VWM7XBZ","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"ILJJ6VWM7XBZOPYW","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"ILJJ6VWM","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:9bcd3a96398acdd954350a908d5f271b42c4b2fe9eb18915a278d9b43fc80ad1","target":"graph","created_at":"2026-05-18T01:16:50Z","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":"Motivated by earlier studies of artificial perceptions of light called phosphenes, we analyze traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators modeling this phenomenon. We examine the discrete model problem in its co-traveling frame and systematically obtain the corresponding traveling waves in one spatial dimension. Direct numerical simulations as well as linear stability analysis are employed to reveal the parameter regions where the traveling waves are stable, and these waves are, in turn, connected to the standing waves analyzed in earlier work. We a","authors_text":"Anna Vainchtein, Jonathan Rubin, Mei Duanmu, Nathaniel Whitaker, Panos Kevrekidis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-05-01T16:02:27Z","title":"Traveling Wave Solutions in a Chain of periodically Forced Couple Nonlinear Oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00208","kind":"arxiv","version":1},"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":"sha256:67142c0207fb7de549d4e23743f62e6ee880945ebbf57b1765011468695dfd9b","target":"record","created_at":"2026-05-18T01:16:50Z","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":"4858aba1fe65150e87de18a7020d5a2a28f6411704a2cefac259e248871792ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2015-05-01T16:02:27Z","title_canon_sha256":"3ba37c4eaf7848cdd396eb4ebce4865398e2fbd2b8b2b3cafa1e7c34d906e550"},"schema_version":"1.0","source":{"id":"1505.00208","kind":"arxiv","version":1}},"canonical_sha256":"42d29f56ccfdc3973f160fbdc0d409bf214b67e839934b03c865ba548555b32d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42d29f56ccfdc3973f160fbdc0d409bf214b67e839934b03c865ba548555b32d","first_computed_at":"2026-05-18T01:16:50.706126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:50.706126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C9U3OGLpTEvMwnXfl47rzPmtv974mVF5JwiQXphGR+eHKcpV5mNqBPqpqqBHlksmI1c4bwgToLhNRcG/J1wpAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:50.706830Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00208","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67142c0207fb7de549d4e23743f62e6ee880945ebbf57b1765011468695dfd9b","sha256:9bcd3a96398acdd954350a908d5f271b42c4b2fe9eb18915a278d9b43fc80ad1"],"state_sha256":"7f4ed145a078b3cd60bd9d0800f9af6d7d15ccfcd60a1db63b53e49012bad0b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FTtVsFu70BBGclXr0uDfg34rMm5baYg1/GRUHRfzfDZKIts6r4JfbpQiEBGPPompcechYRLCuY02536jVfscDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T09:49:54.472268Z","bundle_sha256":"949e1836d0d83e01ba3e5221c4ce30afd9f791de7e4f6adafe117e953a2e8492"}}