{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:NOMD4CLX5ELDW6QTP6HPMQ5M4Q","short_pith_number":"pith:NOMD4CLX","canonical_record":{"source":{"id":"2105.10558","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"nlin.CD","submitted_at":"2021-05-21T20:27:41Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"6c5adfbe8e862624e7b6ce96bb629b979c6af3f29de8fd8f07c6b63b9fc31cba","abstract_canon_sha256":"809d94b066f9d9769ba726293a743aac111dbb1adfe9c0efac9fc37442e76cbd"},"schema_version":"1.0"},"canonical_sha256":"6b983e0977e9163b7a137f8ef643ace401acc457b695699a0150705dcd0b3436","source":{"kind":"arxiv","id":"2105.10558","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.10558","created_at":"2026-07-05T03:08:30Z"},{"alias_kind":"arxiv_version","alias_value":"2105.10558v1","created_at":"2026-07-05T03:08:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.10558","created_at":"2026-07-05T03:08:30Z"},{"alias_kind":"pith_short_12","alias_value":"NOMD4CLX5ELD","created_at":"2026-07-05T03:08:30Z"},{"alias_kind":"pith_short_16","alias_value":"NOMD4CLX5ELDW6QT","created_at":"2026-07-05T03:08:30Z"},{"alias_kind":"pith_short_8","alias_value":"NOMD4CLX","created_at":"2026-07-05T03:08:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:NOMD4CLX5ELDW6QTP6HPMQ5M4Q","target":"record","payload":{"canonical_record":{"source":{"id":"2105.10558","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"nlin.CD","submitted_at":"2021-05-21T20:27:41Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"6c5adfbe8e862624e7b6ce96bb629b979c6af3f29de8fd8f07c6b63b9fc31cba","abstract_canon_sha256":"809d94b066f9d9769ba726293a743aac111dbb1adfe9c0efac9fc37442e76cbd"},"schema_version":"1.0"},"canonical_sha256":"6b983e0977e9163b7a137f8ef643ace401acc457b695699a0150705dcd0b3436","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:08:30.538887Z","signature_b64":"RKPnldvG0PlUbA1l++KyLrDAzYJ0zlLZX76zS6aFx9u7RzeGzpXq+OY89UBIM1FwKZo8gXONdahHkz48gr3LCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b983e0977e9163b7a137f8ef643ace401acc457b695699a0150705dcd0b3436","last_reissued_at":"2026-07-05T03:08:30.538420Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:08:30.538420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.10558","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":"2026-07-05T03:08:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SqfFkBuRTEPM88GQEcG5D8UTKbEEICcVQT+jf6fqzq/U8/8wAhG57c5x7fZMgbqZcMQuseYYTHcxIuEqbafLCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:26:42.564883Z"},"content_sha256":"4c5eb0973a4561e93b65090d1d04e8da6b45459f956d879c2f6879f9e42f25a0","schema_version":"1.0","event_id":"sha256:4c5eb0973a4561e93b65090d1d04e8da6b45459f956d879c2f6879f9e42f25a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:NOMD4CLX5ELDW6QTP6HPMQ5M4Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A quasi-periodic route to chaos in a parametrically driven nonlinear medium","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.CD","authors_text":"Ana M. Cabanas, Boris A. Malomed, David Laroze, Harald Pleiner, Javier A. V\\'elez, Laura M. P\\'erez, Marcel G. Clerc, Pablo D\\'iaz, Ronald Rivas","submitted_at":"2021-05-21T20:27:41Z","abstract_excerpt":"Small-sized systems exhibit a finite number of routes to chaos. However, in extended systems, not all routes to complex spatiotemporal behavior have been fully explored. Starting from the sine-Gordon model of parametrically driven chain of damped nonlinear oscillators, we investigate a route to spatiotemporal chaos emerging from standing waves. The route from the stationary to the chaotic state proceeds through quasiperiodic dynamics. The standing wave undergoes the onset of oscillatory instability, which subsequently exhibits a different critical frequency, from which the complexity originate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.10558","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2105.10558/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:08:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8znLwiBN1I/BQrv/4KzF4PBaXFilrf0/sHnNEclaIuU19Q4BrsVq04JpjDWYf6bypZkgMG7LXyMW4yrC5bcWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:26:42.565260Z"},"content_sha256":"8955272ee2c61458fad3d903feea981652ecf0bcc3bc84577670bfe456bcaf33","schema_version":"1.0","event_id":"sha256:8955272ee2c61458fad3d903feea981652ecf0bcc3bc84577670bfe456bcaf33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NOMD4CLX5ELDW6QTP6HPMQ5M4Q/bundle.json","state_url":"https://pith.science/pith/NOMD4CLX5ELDW6QTP6HPMQ5M4Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NOMD4CLX5ELDW6QTP6HPMQ5M4Q/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":"2026-07-07T10:26:42Z","links":{"resolver":"https://pith.science/pith/NOMD4CLX5ELDW6QTP6HPMQ5M4Q","bundle":"https://pith.science/pith/NOMD4CLX5ELDW6QTP6HPMQ5M4Q/bundle.json","state":"https://pith.science/pith/NOMD4CLX5ELDW6QTP6HPMQ5M4Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NOMD4CLX5ELDW6QTP6HPMQ5M4Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:NOMD4CLX5ELDW6QTP6HPMQ5M4Q","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":"809d94b066f9d9769ba726293a743aac111dbb1adfe9c0efac9fc37442e76cbd","cross_cats_sorted":["nlin.PS"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"nlin.CD","submitted_at":"2021-05-21T20:27:41Z","title_canon_sha256":"6c5adfbe8e862624e7b6ce96bb629b979c6af3f29de8fd8f07c6b63b9fc31cba"},"schema_version":"1.0","source":{"id":"2105.10558","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.10558","created_at":"2026-07-05T03:08:30Z"},{"alias_kind":"arxiv_version","alias_value":"2105.10558v1","created_at":"2026-07-05T03:08:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.10558","created_at":"2026-07-05T03:08:30Z"},{"alias_kind":"pith_short_12","alias_value":"NOMD4CLX5ELD","created_at":"2026-07-05T03:08:30Z"},{"alias_kind":"pith_short_16","alias_value":"NOMD4CLX5ELDW6QT","created_at":"2026-07-05T03:08:30Z"},{"alias_kind":"pith_short_8","alias_value":"NOMD4CLX","created_at":"2026-07-05T03:08:30Z"}],"graph_snapshots":[{"event_id":"sha256:8955272ee2c61458fad3d903feea981652ecf0bcc3bc84577670bfe456bcaf33","target":"graph","created_at":"2026-07-05T03:08:30Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2105.10558/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Small-sized systems exhibit a finite number of routes to chaos. However, in extended systems, not all routes to complex spatiotemporal behavior have been fully explored. Starting from the sine-Gordon model of parametrically driven chain of damped nonlinear oscillators, we investigate a route to spatiotemporal chaos emerging from standing waves. The route from the stationary to the chaotic state proceeds through quasiperiodic dynamics. The standing wave undergoes the onset of oscillatory instability, which subsequently exhibits a different critical frequency, from which the complexity originate","authors_text":"Ana M. Cabanas, Boris A. Malomed, David Laroze, Harald Pleiner, Javier A. V\\'elez, Laura M. P\\'erez, Marcel G. Clerc, Pablo D\\'iaz, Ronald Rivas","cross_cats":["nlin.PS"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"nlin.CD","submitted_at":"2021-05-21T20:27:41Z","title":"A quasi-periodic route to chaos in a parametrically driven nonlinear medium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.10558","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":"sha256:4c5eb0973a4561e93b65090d1d04e8da6b45459f956d879c2f6879f9e42f25a0","target":"record","created_at":"2026-07-05T03:08:30Z","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":"809d94b066f9d9769ba726293a743aac111dbb1adfe9c0efac9fc37442e76cbd","cross_cats_sorted":["nlin.PS"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"nlin.CD","submitted_at":"2021-05-21T20:27:41Z","title_canon_sha256":"6c5adfbe8e862624e7b6ce96bb629b979c6af3f29de8fd8f07c6b63b9fc31cba"},"schema_version":"1.0","source":{"id":"2105.10558","kind":"arxiv","version":1}},"canonical_sha256":"6b983e0977e9163b7a137f8ef643ace401acc457b695699a0150705dcd0b3436","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b983e0977e9163b7a137f8ef643ace401acc457b695699a0150705dcd0b3436","first_computed_at":"2026-07-05T03:08:30.538420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:08:30.538420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RKPnldvG0PlUbA1l++KyLrDAzYJ0zlLZX76zS6aFx9u7RzeGzpXq+OY89UBIM1FwKZo8gXONdahHkz48gr3LCw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:08:30.538887Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.10558","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c5eb0973a4561e93b65090d1d04e8da6b45459f956d879c2f6879f9e42f25a0","sha256:8955272ee2c61458fad3d903feea981652ecf0bcc3bc84577670bfe456bcaf33"],"state_sha256":"d8e3e16ab23cb91f2285b038439ec2151c7aa7bf48727bd0fbf16d6b79910f54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i3rnWQlWf5dkacoEiBQWqMHT4RQS8J+ZYzRzsj4czcClv91iyWjOXDR/ID/G4+4ZmahjZY/8UCTBqS74xc31Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T10:26:42.567214Z","bundle_sha256":"5ed09f1460bc7d00856e467664227ba261f7db8625833169324dead8fd29d843"}}