{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:LT2ZABEC34BC3VERZ7DMUYAPTB","short_pith_number":"pith:LT2ZABEC","canonical_record":{"source":{"id":"1704.03107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-04-11T01:08:12Z","cross_cats_sorted":["math-ph","math.AP","math.MP","physics.optics","quant-ph"],"title_canon_sha256":"6b475790462082f066734478333f9ed69921981e1504d4492ba77070e3ce37db","abstract_canon_sha256":"a410875f201b5c191aa762e800cfc796e2a288317eb34a08d5d74052753bebd9"},"schema_version":"1.0"},"canonical_sha256":"5cf5900482df022dd491cfc6ca600f9856d7ea86001fb284df836803a3aa7015","source":{"kind":"arxiv","id":"1704.03107","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03107","created_at":"2026-05-18T00:46:11Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03107v1","created_at":"2026-05-18T00:46:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03107","created_at":"2026-05-18T00:46:11Z"},{"alias_kind":"pith_short_12","alias_value":"LT2ZABEC34BC","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LT2ZABEC34BC3VER","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LT2ZABEC","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:LT2ZABEC34BC3VERZ7DMUYAPTB","target":"record","payload":{"canonical_record":{"source":{"id":"1704.03107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-04-11T01:08:12Z","cross_cats_sorted":["math-ph","math.AP","math.MP","physics.optics","quant-ph"],"title_canon_sha256":"6b475790462082f066734478333f9ed69921981e1504d4492ba77070e3ce37db","abstract_canon_sha256":"a410875f201b5c191aa762e800cfc796e2a288317eb34a08d5d74052753bebd9"},"schema_version":"1.0"},"canonical_sha256":"5cf5900482df022dd491cfc6ca600f9856d7ea86001fb284df836803a3aa7015","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:11.929341Z","signature_b64":"obkXbmRYiNaCUo2hgCWmhrIPRRq/JaW5+Eshidx1xa+vXXIPB5yjrMLnz5e1xDAQAGoSVDtT+zvFzZekPgwMDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cf5900482df022dd491cfc6ca600f9856d7ea86001fb284df836803a3aa7015","last_reissued_at":"2026-05-18T00:46:11.928895Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:11.928895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.03107","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":"2026-05-18T00:46:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9D082B4JlDdWVZ91fKF8T2TduZT+fy7h7KIsa48Wdf5HZilMExsHs2Zp1x+Yy50NuDMBHh32/27ztHx19fZTCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T21:29:42.435556Z"},"content_sha256":"e781f8f345199480d2fffd9cd26042e85ecc112acfb4536f37b9b42c78e04836","schema_version":"1.0","event_id":"sha256:e781f8f345199480d2fffd9cd26042e85ecc112acfb4536f37b9b42c78e04836"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:LT2ZABEC34BC3VERZ7DMUYAPTB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT-and non-PT-symmetric potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP","physics.optics","quant-ph"],"primary_cat":"nlin.PS","authors_text":"Yong Chen, Zhenya Yan, Zichao Wen","submitted_at":"2017-04-11T01:08:12Z","abstract_excerpt":"We report the bright solitons of the generalized Gross-Pitaevskii (GP) equation with some types of physically relevant parity-time-(PT-) and non-PT-symmetric potentials. We find that the constant momentum coefficient can modulate the linear stability and complicated transverse power-flows (not always from the gain toward loss) of nonlinear modes. However, the varying momentum coefficient Gamma(x) can modulate both unbroken linear PT-symmetric phases and stability of nonlinear modes. Particularly, the nonlinearity can excite the unstable linear mode (i.e., broken linear PT-symmetric phase) to s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03107","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":"2026-05-18T00:46:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6hjaLgmalqTH1mLIJ+f4K7ndBho1OCXO33f7PBjdS6w2UwWJTMzGzBJOqL7qGsaC5Bf0F0QWVneLXgBvzHb6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T21:29:42.436233Z"},"content_sha256":"79967bfdce014c7015d6d4a113f25984607bac58d5c747634848cf55bb76ce35","schema_version":"1.0","event_id":"sha256:79967bfdce014c7015d6d4a113f25984607bac58d5c747634848cf55bb76ce35"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LT2ZABEC34BC3VERZ7DMUYAPTB/bundle.json","state_url":"https://pith.science/pith/LT2ZABEC34BC3VERZ7DMUYAPTB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LT2ZABEC34BC3VERZ7DMUYAPTB/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":"2026-05-23T21:29:42Z","links":{"resolver":"https://pith.science/pith/LT2ZABEC34BC3VERZ7DMUYAPTB","bundle":"https://pith.science/pith/LT2ZABEC34BC3VERZ7DMUYAPTB/bundle.json","state":"https://pith.science/pith/LT2ZABEC34BC3VERZ7DMUYAPTB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LT2ZABEC34BC3VERZ7DMUYAPTB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LT2ZABEC34BC3VERZ7DMUYAPTB","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":"a410875f201b5c191aa762e800cfc796e2a288317eb34a08d5d74052753bebd9","cross_cats_sorted":["math-ph","math.AP","math.MP","physics.optics","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-04-11T01:08:12Z","title_canon_sha256":"6b475790462082f066734478333f9ed69921981e1504d4492ba77070e3ce37db"},"schema_version":"1.0","source":{"id":"1704.03107","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03107","created_at":"2026-05-18T00:46:11Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03107v1","created_at":"2026-05-18T00:46:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03107","created_at":"2026-05-18T00:46:11Z"},{"alias_kind":"pith_short_12","alias_value":"LT2ZABEC34BC","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LT2ZABEC34BC3VER","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LT2ZABEC","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:79967bfdce014c7015d6d4a113f25984607bac58d5c747634848cf55bb76ce35","target":"graph","created_at":"2026-05-18T00:46:11Z","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 the bright solitons of the generalized Gross-Pitaevskii (GP) equation with some types of physically relevant parity-time-(PT-) and non-PT-symmetric potentials. We find that the constant momentum coefficient can modulate the linear stability and complicated transverse power-flows (not always from the gain toward loss) of nonlinear modes. However, the varying momentum coefficient Gamma(x) can modulate both unbroken linear PT-symmetric phases and stability of nonlinear modes. Particularly, the nonlinearity can excite the unstable linear mode (i.e., broken linear PT-symmetric phase) to s","authors_text":"Yong Chen, Zhenya Yan, Zichao Wen","cross_cats":["math-ph","math.AP","math.MP","physics.optics","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-04-11T01:08:12Z","title":"On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT-and non-PT-symmetric potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03107","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:e781f8f345199480d2fffd9cd26042e85ecc112acfb4536f37b9b42c78e04836","target":"record","created_at":"2026-05-18T00:46:11Z","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":"a410875f201b5c191aa762e800cfc796e2a288317eb34a08d5d74052753bebd9","cross_cats_sorted":["math-ph","math.AP","math.MP","physics.optics","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-04-11T01:08:12Z","title_canon_sha256":"6b475790462082f066734478333f9ed69921981e1504d4492ba77070e3ce37db"},"schema_version":"1.0","source":{"id":"1704.03107","kind":"arxiv","version":1}},"canonical_sha256":"5cf5900482df022dd491cfc6ca600f9856d7ea86001fb284df836803a3aa7015","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cf5900482df022dd491cfc6ca600f9856d7ea86001fb284df836803a3aa7015","first_computed_at":"2026-05-18T00:46:11.928895Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:11.928895Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"obkXbmRYiNaCUo2hgCWmhrIPRRq/JaW5+Eshidx1xa+vXXIPB5yjrMLnz5e1xDAQAGoSVDtT+zvFzZekPgwMDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:11.929341Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03107","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e781f8f345199480d2fffd9cd26042e85ecc112acfb4536f37b9b42c78e04836","sha256:79967bfdce014c7015d6d4a113f25984607bac58d5c747634848cf55bb76ce35"],"state_sha256":"60715269d1e9f3235da8d638b7fd793c49d4929869a49b5f000e88e3ccda244f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"InnRcOXohHin/TJQiEHY9Qx8oYQ9mIFXK9eu9xqfY4jrTZmNL5dDzFaCX0ucRFC4FzcEEiagYLO76BszRytIDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T21:29:42.439878Z","bundle_sha256":"a3799fd52eda7762d82c95713fd1f6a80262142203ffbec94da1d2e06716a170"}}