{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:RYSTXRUJFLJYZ6HDEJDRLVQ2U5","short_pith_number":"pith:RYSTXRUJ","canonical_record":{"source":{"id":"1105.1565","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-05-09T01:29:04Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"db87ce344cd7b60947be4369f5e6a7aa95a7fccade774ab47346f86d79fdab33","abstract_canon_sha256":"6b1a139a012fe104599e8185e122b3ef2f8ea46c5335c9a382f492b7039ea1e8"},"schema_version":"1.0"},"canonical_sha256":"8e253bc6892ad38cf8e3224715d61aa77ea087389299de30e9b6e496c476bc42","source":{"kind":"arxiv","id":"1105.1565","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.1565","created_at":"2026-05-18T02:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"1105.1565v1","created_at":"2026-05-18T02:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1565","created_at":"2026-05-18T02:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"RYSTXRUJFLJY","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RYSTXRUJFLJYZ6HD","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RYSTXRUJ","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:RYSTXRUJFLJYZ6HDEJDRLVQ2U5","target":"record","payload":{"canonical_record":{"source":{"id":"1105.1565","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-05-09T01:29:04Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"db87ce344cd7b60947be4369f5e6a7aa95a7fccade774ab47346f86d79fdab33","abstract_canon_sha256":"6b1a139a012fe104599e8185e122b3ef2f8ea46c5335c9a382f492b7039ea1e8"},"schema_version":"1.0"},"canonical_sha256":"8e253bc6892ad38cf8e3224715d61aa77ea087389299de30e9b6e496c476bc42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:02.702297Z","signature_b64":"8jXJFD/6Rw75LqyLE+XyWR1jLxpwWIHjrDk515zssn0iufkllOcJmAKU/sAoaK2QzpqRR8VNOXEy7tem5xiyDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e253bc6892ad38cf8e3224715d61aa77ea087389299de30e9b6e496c476bc42","last_reissued_at":"2026-05-18T02:02:02.701524Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:02.701524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.1565","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":"2026-05-18T02:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cE6SK8GzBf/s0htoIxKzW60lPYZ6WhLsf9FvOH+2iri1tHhuM7DBYGlNh0PAj1j1iPWiEV/wJophw1totEWkDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:01:36.630183Z"},"content_sha256":"daaf8a6dba3497ce50766af49815b9c4e4c2455e11ec603b2962d8557344b9b5","schema_version":"1.0","event_id":"sha256:daaf8a6dba3497ce50766af49815b9c4e4c2455e11ec603b2962d8557344b9b5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:RYSTXRUJFLJYZ6HDEJDRLVQ2U5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gap solitons under competing local and nonlocal nonlinearities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"physics.optics","authors_text":"Boris A. Malomed, Kuan-Hsien Kuo, Ray-Kuang Lee, YuanYao Lin","submitted_at":"2011-05-09T01:29:04Z","abstract_excerpt":"We analyze the existence, bifurcations, and shape transformations of one-dimensional gap solitons (GSs) in the first finite bandgap induced by a periodic potential built into materials with local self-focusing and nonlocal self-defocusing nonlinearities. Originally stable on-site GS modes become unstable near the upper edge of the bandgap with the introduction of the nonlocal self-defocusing nonlinearity with a small nonlocality radius. Unstable off-site GSs bifurcate into a new branch featuring single-humped, double-humped, and flat-top modes due to the competition between local and nonlocal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1565","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":"2026-05-18T02:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W8U1uyv+RjyvWuRY8zjrIWudYBZFTYCz+LoJyol5qe6p12XuR0FK1xVzAJTCb6uUWWOLfWQOIMLuUE9TPelFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:01:36.630653Z"},"content_sha256":"6092293ccd9b497390d140d8115cc900d41095682e31ca15ce7171f6f6096636","schema_version":"1.0","event_id":"sha256:6092293ccd9b497390d140d8115cc900d41095682e31ca15ce7171f6f6096636"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RYSTXRUJFLJYZ6HDEJDRLVQ2U5/bundle.json","state_url":"https://pith.science/pith/RYSTXRUJFLJYZ6HDEJDRLVQ2U5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RYSTXRUJFLJYZ6HDEJDRLVQ2U5/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":"2026-05-31T08:01:36Z","links":{"resolver":"https://pith.science/pith/RYSTXRUJFLJYZ6HDEJDRLVQ2U5","bundle":"https://pith.science/pith/RYSTXRUJFLJYZ6HDEJDRLVQ2U5/bundle.json","state":"https://pith.science/pith/RYSTXRUJFLJYZ6HDEJDRLVQ2U5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RYSTXRUJFLJYZ6HDEJDRLVQ2U5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RYSTXRUJFLJYZ6HDEJDRLVQ2U5","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":"6b1a139a012fe104599e8185e122b3ef2f8ea46c5335c9a382f492b7039ea1e8","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-05-09T01:29:04Z","title_canon_sha256":"db87ce344cd7b60947be4369f5e6a7aa95a7fccade774ab47346f86d79fdab33"},"schema_version":"1.0","source":{"id":"1105.1565","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.1565","created_at":"2026-05-18T02:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"1105.1565v1","created_at":"2026-05-18T02:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1565","created_at":"2026-05-18T02:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"RYSTXRUJFLJY","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RYSTXRUJFLJYZ6HD","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RYSTXRUJ","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:6092293ccd9b497390d140d8115cc900d41095682e31ca15ce7171f6f6096636","target":"graph","created_at":"2026-05-18T02:02:02Z","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 analyze the existence, bifurcations, and shape transformations of one-dimensional gap solitons (GSs) in the first finite bandgap induced by a periodic potential built into materials with local self-focusing and nonlocal self-defocusing nonlinearities. Originally stable on-site GS modes become unstable near the upper edge of the bandgap with the introduction of the nonlocal self-defocusing nonlinearity with a small nonlocality radius. Unstable off-site GSs bifurcate into a new branch featuring single-humped, double-humped, and flat-top modes due to the competition between local and nonlocal ","authors_text":"Boris A. Malomed, Kuan-Hsien Kuo, Ray-Kuang Lee, YuanYao Lin","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-05-09T01:29:04Z","title":"Gap solitons under competing local and nonlocal nonlinearities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1565","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:daaf8a6dba3497ce50766af49815b9c4e4c2455e11ec603b2962d8557344b9b5","target":"record","created_at":"2026-05-18T02:02:02Z","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":"6b1a139a012fe104599e8185e122b3ef2f8ea46c5335c9a382f492b7039ea1e8","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-05-09T01:29:04Z","title_canon_sha256":"db87ce344cd7b60947be4369f5e6a7aa95a7fccade774ab47346f86d79fdab33"},"schema_version":"1.0","source":{"id":"1105.1565","kind":"arxiv","version":1}},"canonical_sha256":"8e253bc6892ad38cf8e3224715d61aa77ea087389299de30e9b6e496c476bc42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e253bc6892ad38cf8e3224715d61aa77ea087389299de30e9b6e496c476bc42","first_computed_at":"2026-05-18T02:02:02.701524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:02.701524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8jXJFD/6Rw75LqyLE+XyWR1jLxpwWIHjrDk515zssn0iufkllOcJmAKU/sAoaK2QzpqRR8VNOXEy7tem5xiyDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:02.702297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.1565","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:daaf8a6dba3497ce50766af49815b9c4e4c2455e11ec603b2962d8557344b9b5","sha256:6092293ccd9b497390d140d8115cc900d41095682e31ca15ce7171f6f6096636"],"state_sha256":"57eddc2bc6c0e38f728e96ba7c91724f120c79ef7f0c8431466a7d2f7730476e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vc8UzkxTpmvtzyQZRjdXyRc8zyU85k4kVOa+z6EAm8BdJXXqe/IlRoyDbg7NmvbQIAmZai2ZMyhZYSiGCP3XCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T08:01:36.634655Z","bundle_sha256":"7aac144ba57af4d1039e3c75ffa5c58cc910636273cd1142441cf82f35bad89f"}}