{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:EM5AWRH4FTXIFCK45XFV757256","short_pith_number":"pith:EM5AWRH4","canonical_record":{"source":{"id":"nlin/0309056","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2003-09-21T07:34:21Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"a49e9113fdeefdb440212fe2b127963830a2b81fec6af4bf0009ca73d214c756","abstract_canon_sha256":"9696ea3ce7edf6c39f7ea74da4850d863c67dac68466494045f0d6d34a372fc8"},"schema_version":"1.0"},"canonical_sha256":"233a0b44fc2cee82895cedcb5ff7faef99f83bd96e38f563403fcd896abe8739","source":{"kind":"arxiv","id":"nlin/0309056","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0309056","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0309056v1","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0309056","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"EM5AWRH4FTXI","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"EM5AWRH4FTXIFCK4","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"EM5AWRH4","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:EM5AWRH4FTXIFCK45XFV757256","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0309056","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2003-09-21T07:34:21Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"a49e9113fdeefdb440212fe2b127963830a2b81fec6af4bf0009ca73d214c756","abstract_canon_sha256":"9696ea3ce7edf6c39f7ea74da4850d863c67dac68466494045f0d6d34a372fc8"},"schema_version":"1.0"},"canonical_sha256":"233a0b44fc2cee82895cedcb5ff7faef99f83bd96e38f563403fcd896abe8739","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:59.725188Z","signature_b64":"XK04YOFp4DAFRn1cjC/P/wUnhWvFlrcH1gfdkUG27Z++bAIqvYqkanvbgh3mX05S6wn0Qay/euF45YiUCphLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"233a0b44fc2cee82895cedcb5ff7faef99f83bd96e38f563403fcd896abe8739","last_reissued_at":"2026-05-18T01:08:59.724751Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:59.724751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0309056","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":"2026-05-18T01:08:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4zjX/c2mSgNhSD6CqZrvTH7ki4a6sI2EoDBpvfVd0Jy6gO+9xL+w0hNXRKh60hxyT46u/sLvSpISPyf6/3a1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:40:45.719745Z"},"content_sha256":"65ed00ef3dfd11275f5d4c0d27f6d7b4be515f04024297646e3190ccfe5da01f","schema_version":"1.0","event_id":"sha256:65ed00ef3dfd11275f5d4c0d27f6d7b4be515f04024297646e3190ccfe5da01f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:EM5AWRH4FTXIFCK45XFV757256","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Painlev\\'{e} test of coupled Gross-Pitaevskii equations","license":"","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.SI","authors_text":"Barnab\\'as Apagyi, D\\'aniel Schumayer","submitted_at":"2003-09-21T07:34:21Z","abstract_excerpt":"Painlev\\'{e} test of the coupled Gross-Pitaevskii equations has been carried out with the result that the coupled equations pass the P-test only if a special relation containing system parameters (masses, scattering lengths) is satisfied. Computer algebra is applied to evaluate j=4 compatibility condition for admissible external potentials. Appearance of an arbitrary real potential embedded in the external potentials is shown to be the consequence of the coupling. Connection with recent experiments related to stability of two-component Bose-Einstein condensates of Rb atoms is discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0309056","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":"2026-05-18T01:08:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fpNZv5fQgStpGunrD6H66bR3oqIblafrBT7h4PZbhM2HlNRABzAY1IRj8CGTtDc2abJtC/SjMgM6qHPc1hOyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:40:45.720448Z"},"content_sha256":"95db88e0ed4b6e1faecd9fed4faaec55ce9b8ebaa093af21e3b0ee5fa685892c","schema_version":"1.0","event_id":"sha256:95db88e0ed4b6e1faecd9fed4faaec55ce9b8ebaa093af21e3b0ee5fa685892c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EM5AWRH4FTXIFCK45XFV757256/bundle.json","state_url":"https://pith.science/pith/EM5AWRH4FTXIFCK45XFV757256/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EM5AWRH4FTXIFCK45XFV757256/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":"2026-05-26T04:40:45Z","links":{"resolver":"https://pith.science/pith/EM5AWRH4FTXIFCK45XFV757256","bundle":"https://pith.science/pith/EM5AWRH4FTXIFCK45XFV757256/bundle.json","state":"https://pith.science/pith/EM5AWRH4FTXIFCK45XFV757256/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EM5AWRH4FTXIFCK45XFV757256/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:EM5AWRH4FTXIFCK45XFV757256","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":"9696ea3ce7edf6c39f7ea74da4850d863c67dac68466494045f0d6d34a372fc8","cross_cats_sorted":["nlin.PS"],"license":"","primary_cat":"nlin.SI","submitted_at":"2003-09-21T07:34:21Z","title_canon_sha256":"a49e9113fdeefdb440212fe2b127963830a2b81fec6af4bf0009ca73d214c756"},"schema_version":"1.0","source":{"id":"nlin/0309056","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0309056","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0309056v1","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0309056","created_at":"2026-05-18T01:08:59Z"},{"alias_kind":"pith_short_12","alias_value":"EM5AWRH4FTXI","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"EM5AWRH4FTXIFCK4","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"EM5AWRH4","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:95db88e0ed4b6e1faecd9fed4faaec55ce9b8ebaa093af21e3b0ee5fa685892c","target":"graph","created_at":"2026-05-18T01:08:59Z","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":"Painlev\\'{e} test of the coupled Gross-Pitaevskii equations has been carried out with the result that the coupled equations pass the P-test only if a special relation containing system parameters (masses, scattering lengths) is satisfied. Computer algebra is applied to evaluate j=4 compatibility condition for admissible external potentials. Appearance of an arbitrary real potential embedded in the external potentials is shown to be the consequence of the coupling. Connection with recent experiments related to stability of two-component Bose-Einstein condensates of Rb atoms is discussed.","authors_text":"Barnab\\'as Apagyi, D\\'aniel Schumayer","cross_cats":["nlin.PS"],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2003-09-21T07:34:21Z","title":"Painlev\\'{e} test of coupled Gross-Pitaevskii equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0309056","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":"sha256:65ed00ef3dfd11275f5d4c0d27f6d7b4be515f04024297646e3190ccfe5da01f","target":"record","created_at":"2026-05-18T01:08:59Z","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":"9696ea3ce7edf6c39f7ea74da4850d863c67dac68466494045f0d6d34a372fc8","cross_cats_sorted":["nlin.PS"],"license":"","primary_cat":"nlin.SI","submitted_at":"2003-09-21T07:34:21Z","title_canon_sha256":"a49e9113fdeefdb440212fe2b127963830a2b81fec6af4bf0009ca73d214c756"},"schema_version":"1.0","source":{"id":"nlin/0309056","kind":"arxiv","version":1}},"canonical_sha256":"233a0b44fc2cee82895cedcb5ff7faef99f83bd96e38f563403fcd896abe8739","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"233a0b44fc2cee82895cedcb5ff7faef99f83bd96e38f563403fcd896abe8739","first_computed_at":"2026-05-18T01:08:59.724751Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:59.724751Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XK04YOFp4DAFRn1cjC/P/wUnhWvFlrcH1gfdkUG27Z++bAIqvYqkanvbgh3mX05S6wn0Qay/euF45YiUCphLBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:59.725188Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0309056","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65ed00ef3dfd11275f5d4c0d27f6d7b4be515f04024297646e3190ccfe5da01f","sha256:95db88e0ed4b6e1faecd9fed4faaec55ce9b8ebaa093af21e3b0ee5fa685892c"],"state_sha256":"5097fde792a4436549f5cc1c3c6e75786eb9bf1d9931bd87b7768a58e1d24e97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OurkDaoieXNqS75lGjqmvnzOIvkTS5G7gT1ZsqqCBHUKQwzUdXdTIxiIOmN3I81oonyEDFycj/w6fknxVwsnAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:40:45.723708Z","bundle_sha256":"a378f9942e7dc5ea4e19032203c552c5f8b116068e1f976f3c28010c8f61bafd"}}