{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:SEVU7CX64HR4KVXVZGMMM6OUDD","short_pith_number":"pith:SEVU7CX6","canonical_record":{"source":{"id":"1705.09401","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-05-26T00:20:47Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"78b320e2f18581b3987bb2a5e7bacfa40b08ed49895b4086b12144a5a2694b03","abstract_canon_sha256":"99bfb11ddc478f041bea720485ba447164f06420db559915ee5d846706540271"},"schema_version":"1.0"},"canonical_sha256":"912b4f8afee1e3c556f5c998c679d418edbb1363f47dfcd3f4730d43302545a1","source":{"kind":"arxiv","id":"1705.09401","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09401","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09401v1","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09401","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"pith_short_12","alias_value":"SEVU7CX64HR4","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SEVU7CX64HR4KVXV","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SEVU7CX6","created_at":"2026-05-18T12:31:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:SEVU7CX64HR4KVXVZGMMM6OUDD","target":"record","payload":{"canonical_record":{"source":{"id":"1705.09401","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-05-26T00:20:47Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"78b320e2f18581b3987bb2a5e7bacfa40b08ed49895b4086b12144a5a2694b03","abstract_canon_sha256":"99bfb11ddc478f041bea720485ba447164f06420db559915ee5d846706540271"},"schema_version":"1.0"},"canonical_sha256":"912b4f8afee1e3c556f5c998c679d418edbb1363f47dfcd3f4730d43302545a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:24.799711Z","signature_b64":"w0WKxeZtrI2ygJoE1ETsvLjhIjlF+8JASHlbrk5L0k8QXl5py4aqh1Ht0kh//8FbSYbNtNgFBSMEpGtRgjP1CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"912b4f8afee1e3c556f5c998c679d418edbb1363f47dfcd3f4730d43302545a1","last_reissued_at":"2026-05-18T00:43:24.799236Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:24.799236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.09401","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":"2026-05-18T00:43:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZWZUNTTANgnAage8YlT6O+aE782v2L21yV6ndqFvu+Bv8NkWxaMSigJ2HDepSR491+obu9798ZvZ+rESzvDuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:12:57.070592Z"},"content_sha256":"f6112f4b1a028e52a89c9b0ce5d3a7a129dd0e5eca68627d2186923b7e6b3854","schema_version":"1.0","event_id":"sha256:f6112f4b1a028e52a89c9b0ce5d3a7a129dd0e5eca68627d2186923b7e6b3854"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:SEVU7CX64HR4KVXVZGMMM6OUDD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solitons and their stability in the nonlocal nonlinear Schroedinger equation with PT-symmetric potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI","quant-ph"],"primary_cat":"nlin.PS","authors_text":"Zhenya Yan, Zichao Wen","submitted_at":"2017-05-26T00:20:47Z","abstract_excerpt":"We report localized nonlinear modes of the self-focusing and defocusing nonlocal nonlinear Schroedinger equation with the generalized PT-symmetric Scarf-II, Rosen-Morse, and periodic potentials. Parameter regions are presented for broken and unbroken PT-symmetric phases of linear bounded states and the linear stability of the obtained solitons. Moreover, we numerically explore the dynamical behaviors of solitons and find stable solitons for some given parameters."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09401","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":"2026-05-18T00:43:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3CJ8IhcuCMN+yYBYpodA4fDPe3N6QaGtbZHLv/dOLhgyw4OXzUmg7Y9+s6UF8A+WX+Q/vRDi4r8g6xjrQvhNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:12:57.071196Z"},"content_sha256":"3c25e6d455e123fc8a416113e4890a473d345f5323d27a069d7e8cdf73ed9f2e","schema_version":"1.0","event_id":"sha256:3c25e6d455e123fc8a416113e4890a473d345f5323d27a069d7e8cdf73ed9f2e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SEVU7CX64HR4KVXVZGMMM6OUDD/bundle.json","state_url":"https://pith.science/pith/SEVU7CX64HR4KVXVZGMMM6OUDD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SEVU7CX64HR4KVXVZGMMM6OUDD/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":"2026-06-10T05:12:57Z","links":{"resolver":"https://pith.science/pith/SEVU7CX64HR4KVXVZGMMM6OUDD","bundle":"https://pith.science/pith/SEVU7CX64HR4KVXVZGMMM6OUDD/bundle.json","state":"https://pith.science/pith/SEVU7CX64HR4KVXVZGMMM6OUDD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SEVU7CX64HR4KVXVZGMMM6OUDD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SEVU7CX64HR4KVXVZGMMM6OUDD","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":"99bfb11ddc478f041bea720485ba447164f06420db559915ee5d846706540271","cross_cats_sorted":["math-ph","math.MP","nlin.SI","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-05-26T00:20:47Z","title_canon_sha256":"78b320e2f18581b3987bb2a5e7bacfa40b08ed49895b4086b12144a5a2694b03"},"schema_version":"1.0","source":{"id":"1705.09401","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09401","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09401v1","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09401","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"pith_short_12","alias_value":"SEVU7CX64HR4","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SEVU7CX64HR4KVXV","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SEVU7CX6","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:3c25e6d455e123fc8a416113e4890a473d345f5323d27a069d7e8cdf73ed9f2e","target":"graph","created_at":"2026-05-18T00:43:24Z","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 report localized nonlinear modes of the self-focusing and defocusing nonlocal nonlinear Schroedinger equation with the generalized PT-symmetric Scarf-II, Rosen-Morse, and periodic potentials. Parameter regions are presented for broken and unbroken PT-symmetric phases of linear bounded states and the linear stability of the obtained solitons. Moreover, we numerically explore the dynamical behaviors of solitons and find stable solitons for some given parameters.","authors_text":"Zhenya Yan, Zichao Wen","cross_cats":["math-ph","math.MP","nlin.SI","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-05-26T00:20:47Z","title":"Solitons and their stability in the nonlocal nonlinear Schroedinger equation with PT-symmetric potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09401","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:f6112f4b1a028e52a89c9b0ce5d3a7a129dd0e5eca68627d2186923b7e6b3854","target":"record","created_at":"2026-05-18T00:43:24Z","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":"99bfb11ddc478f041bea720485ba447164f06420db559915ee5d846706540271","cross_cats_sorted":["math-ph","math.MP","nlin.SI","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-05-26T00:20:47Z","title_canon_sha256":"78b320e2f18581b3987bb2a5e7bacfa40b08ed49895b4086b12144a5a2694b03"},"schema_version":"1.0","source":{"id":"1705.09401","kind":"arxiv","version":1}},"canonical_sha256":"912b4f8afee1e3c556f5c998c679d418edbb1363f47dfcd3f4730d43302545a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"912b4f8afee1e3c556f5c998c679d418edbb1363f47dfcd3f4730d43302545a1","first_computed_at":"2026-05-18T00:43:24.799236Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:24.799236Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w0WKxeZtrI2ygJoE1ETsvLjhIjlF+8JASHlbrk5L0k8QXl5py4aqh1Ht0kh//8FbSYbNtNgFBSMEpGtRgjP1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:24.799711Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.09401","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6112f4b1a028e52a89c9b0ce5d3a7a129dd0e5eca68627d2186923b7e6b3854","sha256:3c25e6d455e123fc8a416113e4890a473d345f5323d27a069d7e8cdf73ed9f2e"],"state_sha256":"96c9a5795fabcec4abb3b36f76b999a8957f66857ea3c41610cd3ca1914a17ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ut++XHPb9fT2mctA36jbjWBhFf1Ga+4GyWEL/Wz5eVOxaF6SE8wUFs+Z4jSOxTojTfTwYVVuCIEpgQIB3bdUAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:12:57.074597Z","bundle_sha256":"7254de62f55c1f5c173990283f2924e78bc8d23dce18879277a3cfcf0cd8ead1"}}