{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:C6J7RY3F7AFJRKIPOWXKOZWUFC","short_pith_number":"pith:C6J7RY3F","canonical_record":{"source":{"id":"1612.05069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-15T14:06:46Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"dfd9de02e35744e6dd2849d4d2fb82b999bdbc459833fdd92f341509be974daa","abstract_canon_sha256":"194d936152e5f787ee0e825c568350bb8414ed18861d13c940937e0fb38c567b"},"schema_version":"1.0"},"canonical_sha256":"1793f8e365f80a98a90f75aea766d42885f0f3899e9a442e4f20f25f411fc1ba","source":{"kind":"arxiv","id":"1612.05069","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05069","created_at":"2026-05-17T23:51:34Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05069v1","created_at":"2026-05-17T23:51:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05069","created_at":"2026-05-17T23:51:34Z"},{"alias_kind":"pith_short_12","alias_value":"C6J7RY3F7AFJ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C6J7RY3F7AFJRKIP","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C6J7RY3F","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:C6J7RY3F7AFJRKIPOWXKOZWUFC","target":"record","payload":{"canonical_record":{"source":{"id":"1612.05069","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-15T14:06:46Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"dfd9de02e35744e6dd2849d4d2fb82b999bdbc459833fdd92f341509be974daa","abstract_canon_sha256":"194d936152e5f787ee0e825c568350bb8414ed18861d13c940937e0fb38c567b"},"schema_version":"1.0"},"canonical_sha256":"1793f8e365f80a98a90f75aea766d42885f0f3899e9a442e4f20f25f411fc1ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:34.747197Z","signature_b64":"9ithHDTLiLrd6+5k6CMzo+NkN8dEsTi7/uENKw7mf/cvS88ESf6YWRYUSXv8fvSB+W/zREnvRtfd9ylQtimuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1793f8e365f80a98a90f75aea766d42885f0f3899e9a442e4f20f25f411fc1ba","last_reissued_at":"2026-05-17T23:51:34.746436Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:34.746436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.05069","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":"2026-05-17T23:51:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H2m8BgiFDhFZJvllqtp31gcAV/VlzeZRWmRTFw1bMKt74XaHcE8Cq3syohgU0R3fEdKRBiVknEgK7potsdxMDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:23:07.723567Z"},"content_sha256":"4bcc8272927608901d240cbaf12d0af461a0e745b9cf3fd4a510c69eef729dfc","schema_version":"1.0","event_id":"sha256:4bcc8272927608901d240cbaf12d0af461a0e745b9cf3fd4a510c69eef729dfc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:C6J7RY3F7AFJRKIPOWXKOZWUFC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stationary through-flows in a Bose-Einstein condensate with a PT-symmetric impurity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"cond-mat.quant-gas","authors_text":"Dmitry A. Zezyulin, I. V. Barashenkov, Vladimir V. Konotop","submitted_at":"2016-12-15T14:06:46Z","abstract_excerpt":"Superfluid currents in the boson condensate with a source and sink of particles are modelled by the PT-symmetric Gross-Pitaevskii equation with a complex potential. We demonstrate the existence of through-flows of the condensate --- stationary states with the asymptotically nonvanishing flux. The through-flows come in two broad varieties determined by the form of their number density distribution. One variety is described by dip-like solutions featuring a localised density depression; the other one comprises hump-like structures with a density spike in their core. We exemplify each class by ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05069","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":"2026-05-17T23:51:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p5D4lZsUTYPJpjQp8pXV9uHAyltKFdjwUe2RWTKrEwJspYUOViHB071pKdTiT6FOpnOr1IPV+HPgIK58HakIDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:23:07.723918Z"},"content_sha256":"ed1bdb4ea6799da3c5b2fe9bd971fe2f02b4162fec79baa256db654d449e2b0c","schema_version":"1.0","event_id":"sha256:ed1bdb4ea6799da3c5b2fe9bd971fe2f02b4162fec79baa256db654d449e2b0c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C6J7RY3F7AFJRKIPOWXKOZWUFC/bundle.json","state_url":"https://pith.science/pith/C6J7RY3F7AFJRKIPOWXKOZWUFC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C6J7RY3F7AFJRKIPOWXKOZWUFC/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":"2026-06-01T11:23:07Z","links":{"resolver":"https://pith.science/pith/C6J7RY3F7AFJRKIPOWXKOZWUFC","bundle":"https://pith.science/pith/C6J7RY3F7AFJRKIPOWXKOZWUFC/bundle.json","state":"https://pith.science/pith/C6J7RY3F7AFJRKIPOWXKOZWUFC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C6J7RY3F7AFJRKIPOWXKOZWUFC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:C6J7RY3F7AFJRKIPOWXKOZWUFC","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":"194d936152e5f787ee0e825c568350bb8414ed18861d13c940937e0fb38c567b","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-15T14:06:46Z","title_canon_sha256":"dfd9de02e35744e6dd2849d4d2fb82b999bdbc459833fdd92f341509be974daa"},"schema_version":"1.0","source":{"id":"1612.05069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05069","created_at":"2026-05-17T23:51:34Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05069v1","created_at":"2026-05-17T23:51:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05069","created_at":"2026-05-17T23:51:34Z"},{"alias_kind":"pith_short_12","alias_value":"C6J7RY3F7AFJ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C6J7RY3F7AFJRKIP","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C6J7RY3F","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:ed1bdb4ea6799da3c5b2fe9bd971fe2f02b4162fec79baa256db654d449e2b0c","target":"graph","created_at":"2026-05-17T23:51:34Z","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":"Superfluid currents in the boson condensate with a source and sink of particles are modelled by the PT-symmetric Gross-Pitaevskii equation with a complex potential. We demonstrate the existence of through-flows of the condensate --- stationary states with the asymptotically nonvanishing flux. The through-flows come in two broad varieties determined by the form of their number density distribution. One variety is described by dip-like solutions featuring a localised density depression; the other one comprises hump-like structures with a density spike in their core. We exemplify each class by ex","authors_text":"Dmitry A. Zezyulin, I. V. Barashenkov, Vladimir V. Konotop","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-15T14:06:46Z","title":"Stationary through-flows in a Bose-Einstein condensate with a PT-symmetric impurity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05069","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":"sha256:4bcc8272927608901d240cbaf12d0af461a0e745b9cf3fd4a510c69eef729dfc","target":"record","created_at":"2026-05-17T23:51:34Z","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":"194d936152e5f787ee0e825c568350bb8414ed18861d13c940937e0fb38c567b","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-12-15T14:06:46Z","title_canon_sha256":"dfd9de02e35744e6dd2849d4d2fb82b999bdbc459833fdd92f341509be974daa"},"schema_version":"1.0","source":{"id":"1612.05069","kind":"arxiv","version":1}},"canonical_sha256":"1793f8e365f80a98a90f75aea766d42885f0f3899e9a442e4f20f25f411fc1ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1793f8e365f80a98a90f75aea766d42885f0f3899e9a442e4f20f25f411fc1ba","first_computed_at":"2026-05-17T23:51:34.746436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:34.746436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9ithHDTLiLrd6+5k6CMzo+NkN8dEsTi7/uENKw7mf/cvS88ESf6YWRYUSXv8fvSB+W/zREnvRtfd9ylQtimuAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:34.747197Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.05069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bcc8272927608901d240cbaf12d0af461a0e745b9cf3fd4a510c69eef729dfc","sha256:ed1bdb4ea6799da3c5b2fe9bd971fe2f02b4162fec79baa256db654d449e2b0c"],"state_sha256":"1add32e97324214d6b07fc42eb6b295ad68912099e3087c0d9c80ede1ffdd968"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FmNlEAqKbIaMLGArJqTZg9dI82KfFDLSztPEJZOKPqSEofo/bXXuDDjKbCleWDEHfcTw/9pMwhjMMr9kTKfnBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:23:07.725947Z","bundle_sha256":"b958f645c85c038e460adee94f3a88631a5a0572c641478e42430aa95f5dc242"}}