{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4UFSL7KJO3OP6ME3IVGGPX3YTF","short_pith_number":"pith:4UFSL7KJ","canonical_record":{"source":{"id":"1309.4555","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-09-18T07:15:50Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"c133e5901f2299ee37612b9645f91057b3c21986863384c15bfda8ba3ca9cb36","abstract_canon_sha256":"106aa3479369d35aa33b0f8a9dffde49798e23e90354818ed8b45004c1ad3321"},"schema_version":"1.0"},"canonical_sha256":"e50b25fd4976dcff309b454c67df7899647f935c71dd1906bff4273f6b71a1bd","source":{"kind":"arxiv","id":"1309.4555","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4555","created_at":"2026-05-18T03:12:59Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4555v1","created_at":"2026-05-18T03:12:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4555","created_at":"2026-05-18T03:12:59Z"},{"alias_kind":"pith_short_12","alias_value":"4UFSL7KJO3OP","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4UFSL7KJO3OP6ME3","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4UFSL7KJ","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4UFSL7KJO3OP6ME3IVGGPX3YTF","target":"record","payload":{"canonical_record":{"source":{"id":"1309.4555","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-09-18T07:15:50Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"c133e5901f2299ee37612b9645f91057b3c21986863384c15bfda8ba3ca9cb36","abstract_canon_sha256":"106aa3479369d35aa33b0f8a9dffde49798e23e90354818ed8b45004c1ad3321"},"schema_version":"1.0"},"canonical_sha256":"e50b25fd4976dcff309b454c67df7899647f935c71dd1906bff4273f6b71a1bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:59.014662Z","signature_b64":"TuRBZQD7AXMPxsRKqOzfBULnOLSyBXuToEuYqKLa3gUD8rlgOv9/Sgc+m6ZwfvKoVJ07n+CqLZcKNlxi1xu5AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e50b25fd4976dcff309b454c67df7899647f935c71dd1906bff4273f6b71a1bd","last_reissued_at":"2026-05-18T03:12:59.013902Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:59.013902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.4555","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":"2026-05-18T03:12:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cvMvDY9sjnV6fuEqZ6EzHGH3lC325ttRWfIRk8vzwqnYR+xDb4qHTzQ82GaKEU2zh7ze3WszpCpOHoyPh3/xBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:01:02.880769Z"},"content_sha256":"03ba2cea3b411749b0d4dc2000d71f781f415737b1ab8bd1d258943e2b95962c","schema_version":"1.0","event_id":"sha256:03ba2cea3b411749b0d4dc2000d71f781f415737b1ab8bd1d258943e2b95962c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4UFSL7KJO3OP6ME3IVGGPX3YTF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effects of Nonlinear Coupling on Spatiotemporal Regularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"nlin.CD","authors_text":"Ankit Kumar","submitted_at":"2013-09-18T07:15:50Z","abstract_excerpt":"In this work we investigate the spatiotemporal behaviour of lattices of coupled chaotic logistic maps, where the coupling between sites has a nonlinear form. We show that the stable range of the spatiotemporal fixed point state is significantly enhanced for increasingly nonlinear coupling. We demonstrate this through numerical simulations and linear stability analysis of the synchronized fixed point. Lastly, we show that these results also hold in coupled map lattices where the nodal dynamics is given by the Gauss Map, Sine Circle Map and the Tent Map."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4555","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":"2026-05-18T03:12:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k3W927JQQDc9QOzLLQ63K9Vo5+a6FM/vOZGvzyyM4QBlnsY4c9Yz6E1fVGZQgFqatIQgQ9cYxXcTrfsnc3K3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T14:01:02.881116Z"},"content_sha256":"161462de6aef15ee4735ccc73c8c7cc0af83e7f423b4a2122a22420bd7e8bfe1","schema_version":"1.0","event_id":"sha256:161462de6aef15ee4735ccc73c8c7cc0af83e7f423b4a2122a22420bd7e8bfe1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4UFSL7KJO3OP6ME3IVGGPX3YTF/bundle.json","state_url":"https://pith.science/pith/4UFSL7KJO3OP6ME3IVGGPX3YTF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4UFSL7KJO3OP6ME3IVGGPX3YTF/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":"2026-06-02T14:01:02Z","links":{"resolver":"https://pith.science/pith/4UFSL7KJO3OP6ME3IVGGPX3YTF","bundle":"https://pith.science/pith/4UFSL7KJO3OP6ME3IVGGPX3YTF/bundle.json","state":"https://pith.science/pith/4UFSL7KJO3OP6ME3IVGGPX3YTF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4UFSL7KJO3OP6ME3IVGGPX3YTF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4UFSL7KJO3OP6ME3IVGGPX3YTF","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":"106aa3479369d35aa33b0f8a9dffde49798e23e90354818ed8b45004c1ad3321","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-09-18T07:15:50Z","title_canon_sha256":"c133e5901f2299ee37612b9645f91057b3c21986863384c15bfda8ba3ca9cb36"},"schema_version":"1.0","source":{"id":"1309.4555","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.4555","created_at":"2026-05-18T03:12:59Z"},{"alias_kind":"arxiv_version","alias_value":"1309.4555v1","created_at":"2026-05-18T03:12:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.4555","created_at":"2026-05-18T03:12:59Z"},{"alias_kind":"pith_short_12","alias_value":"4UFSL7KJO3OP","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4UFSL7KJO3OP6ME3","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4UFSL7KJ","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:161462de6aef15ee4735ccc73c8c7cc0af83e7f423b4a2122a22420bd7e8bfe1","target":"graph","created_at":"2026-05-18T03:12:59Z","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 this work we investigate the spatiotemporal behaviour of lattices of coupled chaotic logistic maps, where the coupling between sites has a nonlinear form. We show that the stable range of the spatiotemporal fixed point state is significantly enhanced for increasingly nonlinear coupling. We demonstrate this through numerical simulations and linear stability analysis of the synchronized fixed point. Lastly, we show that these results also hold in coupled map lattices where the nodal dynamics is given by the Gauss Map, Sine Circle Map and the Tent Map.","authors_text":"Ankit Kumar","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-09-18T07:15:50Z","title":"Effects of Nonlinear Coupling on Spatiotemporal Regularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.4555","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":"sha256:03ba2cea3b411749b0d4dc2000d71f781f415737b1ab8bd1d258943e2b95962c","target":"record","created_at":"2026-05-18T03:12:59Z","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":"106aa3479369d35aa33b0f8a9dffde49798e23e90354818ed8b45004c1ad3321","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-09-18T07:15:50Z","title_canon_sha256":"c133e5901f2299ee37612b9645f91057b3c21986863384c15bfda8ba3ca9cb36"},"schema_version":"1.0","source":{"id":"1309.4555","kind":"arxiv","version":1}},"canonical_sha256":"e50b25fd4976dcff309b454c67df7899647f935c71dd1906bff4273f6b71a1bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e50b25fd4976dcff309b454c67df7899647f935c71dd1906bff4273f6b71a1bd","first_computed_at":"2026-05-18T03:12:59.013902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:59.013902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TuRBZQD7AXMPxsRKqOzfBULnOLSyBXuToEuYqKLa3gUD8rlgOv9/Sgc+m6ZwfvKoVJ07n+CqLZcKNlxi1xu5AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:59.014662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.4555","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03ba2cea3b411749b0d4dc2000d71f781f415737b1ab8bd1d258943e2b95962c","sha256:161462de6aef15ee4735ccc73c8c7cc0af83e7f423b4a2122a22420bd7e8bfe1"],"state_sha256":"1b953ea8ab5688143302716ff4d4deff4f1dcce61561f39cefb375e76db771e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CB8b8DXXrOQ9eHxoMlCy+LHYVgpIN6tyNgEEZysw4plr1iwL+4cA/wRpPCDgFif3uN8neWNsxFMKKr+rIh20Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T14:01:02.883028Z","bundle_sha256":"b45990d693830b4d8cea82d5253e22b1c93d641d163571f32d0728db2ff633cc"}}