{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3IGW3ANS6VKO4XHEDE3NPSC7JT","short_pith_number":"pith:3IGW3ANS","canonical_record":{"source":{"id":"1303.0132","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-01T10:15:14Z","cross_cats_sorted":["cond-mat.quant-gas","nlin.CD"],"title_canon_sha256":"1bc48ddab641576ad6c335d9199f4915d62deae0341db19a381531b362468cd2","abstract_canon_sha256":"965e5a0de19541acd6fde77415283f3bdc55d05792555fdca2c3282b609baae7"},"schema_version":"1.0"},"canonical_sha256":"da0d6d81b2f554ee5ce41936d7c85f4cf23c8720bd191b7424559a1312cd5e69","source":{"kind":"arxiv","id":"1303.0132","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0132","created_at":"2026-05-18T03:20:35Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0132v2","created_at":"2026-05-18T03:20:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0132","created_at":"2026-05-18T03:20:35Z"},{"alias_kind":"pith_short_12","alias_value":"3IGW3ANS6VKO","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3IGW3ANS6VKO4XHE","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3IGW3ANS","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3IGW3ANS6VKO4XHEDE3NPSC7JT","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0132","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-01T10:15:14Z","cross_cats_sorted":["cond-mat.quant-gas","nlin.CD"],"title_canon_sha256":"1bc48ddab641576ad6c335d9199f4915d62deae0341db19a381531b362468cd2","abstract_canon_sha256":"965e5a0de19541acd6fde77415283f3bdc55d05792555fdca2c3282b609baae7"},"schema_version":"1.0"},"canonical_sha256":"da0d6d81b2f554ee5ce41936d7c85f4cf23c8720bd191b7424559a1312cd5e69","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:35.099338Z","signature_b64":"i5GxbYeeTNFvzmkciH4+atsiYoV4TzVLKqaJdLK5sKFpLqh8MLcTaxUtY5kDVWq/QTw6t9af0t1O7ONj+QLjBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da0d6d81b2f554ee5ce41936d7c85f4cf23c8720bd191b7424559a1312cd5e69","last_reissued_at":"2026-05-18T03:20:35.098360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:35.098360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0132","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:20:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k0CNZJjw7URPJcCraukCtn+mVZwJSiPQO71nMMzFTw4l/mYTj7BcqV/1hxRO59czXRbcY7cqG2WA8xpX6bp3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:31:50.694520Z"},"content_sha256":"070048d6e8b795ac0a066b4055e30cbf0c24a22eabd309c5d8a780fafa0ab6ed","schema_version":"1.0","event_id":"sha256:070048d6e8b795ac0a066b4055e30cbf0c24a22eabd309c5d8a780fafa0ab6ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3IGW3ANS6VKO4XHEDE3NPSC7JT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral singularities in PT-symmetric Bose-Einstein condensates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","nlin.CD"],"primary_cat":"quant-ph","authors_text":"G. Wunner, H. Cartarius, J. Main, W. D. Heiss","submitted_at":"2013-03-01T10:15:14Z","abstract_excerpt":"We consider the model of a PT-symmetric Bose-Einstein condensate in a delta-functions double-well potential. We demonstrate that analytic continuation of the primarily non-analytic term |psi|^2 psi - occurring in the underlying Gross-Pitaevskii equation - yields new branch points where three levels coalesce. We show numerically that the new branch points exhibit the behaviour of exceptional points of second and third order. A matrix model which confirms the numerical findings in analytic terms is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0132","kind":"arxiv","version":2},"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":"2026-05-18T03:20:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"op/NRRimvZUJNJxN+779u/4+gv55vzftuHBsWiPX2T4zWcGEh+IPIuBmJbXnO9IMYCUhAE4Rzjat0D2mmhKwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T09:31:50.695171Z"},"content_sha256":"026959b0c18b98f75c2d8a951d72948434f3d8913bc0c2baf49ae82b2b5bb6e2","schema_version":"1.0","event_id":"sha256:026959b0c18b98f75c2d8a951d72948434f3d8913bc0c2baf49ae82b2b5bb6e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/bundle.json","state_url":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/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":"2026-05-27T09:31:50Z","links":{"resolver":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT","bundle":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/bundle.json","state":"https://pith.science/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3IGW3ANS6VKO4XHEDE3NPSC7JT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3IGW3ANS6VKO4XHEDE3NPSC7JT","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":"965e5a0de19541acd6fde77415283f3bdc55d05792555fdca2c3282b609baae7","cross_cats_sorted":["cond-mat.quant-gas","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-01T10:15:14Z","title_canon_sha256":"1bc48ddab641576ad6c335d9199f4915d62deae0341db19a381531b362468cd2"},"schema_version":"1.0","source":{"id":"1303.0132","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0132","created_at":"2026-05-18T03:20:35Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0132v2","created_at":"2026-05-18T03:20:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0132","created_at":"2026-05-18T03:20:35Z"},{"alias_kind":"pith_short_12","alias_value":"3IGW3ANS6VKO","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3IGW3ANS6VKO4XHE","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3IGW3ANS","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:026959b0c18b98f75c2d8a951d72948434f3d8913bc0c2baf49ae82b2b5bb6e2","target":"graph","created_at":"2026-05-18T03:20:35Z","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 consider the model of a PT-symmetric Bose-Einstein condensate in a delta-functions double-well potential. We demonstrate that analytic continuation of the primarily non-analytic term |psi|^2 psi - occurring in the underlying Gross-Pitaevskii equation - yields new branch points where three levels coalesce. We show numerically that the new branch points exhibit the behaviour of exceptional points of second and third order. A matrix model which confirms the numerical findings in analytic terms is given.","authors_text":"G. Wunner, H. Cartarius, J. Main, W. D. Heiss","cross_cats":["cond-mat.quant-gas","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-01T10:15:14Z","title":"Spectral singularities in PT-symmetric Bose-Einstein condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0132","kind":"arxiv","version":2},"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":"sha256:070048d6e8b795ac0a066b4055e30cbf0c24a22eabd309c5d8a780fafa0ab6ed","target":"record","created_at":"2026-05-18T03:20:35Z","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":"965e5a0de19541acd6fde77415283f3bdc55d05792555fdca2c3282b609baae7","cross_cats_sorted":["cond-mat.quant-gas","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-03-01T10:15:14Z","title_canon_sha256":"1bc48ddab641576ad6c335d9199f4915d62deae0341db19a381531b362468cd2"},"schema_version":"1.0","source":{"id":"1303.0132","kind":"arxiv","version":2}},"canonical_sha256":"da0d6d81b2f554ee5ce41936d7c85f4cf23c8720bd191b7424559a1312cd5e69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da0d6d81b2f554ee5ce41936d7c85f4cf23c8720bd191b7424559a1312cd5e69","first_computed_at":"2026-05-18T03:20:35.098360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:35.098360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i5GxbYeeTNFvzmkciH4+atsiYoV4TzVLKqaJdLK5sKFpLqh8MLcTaxUtY5kDVWq/QTw6t9af0t1O7ONj+QLjBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:35.099338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0132","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:070048d6e8b795ac0a066b4055e30cbf0c24a22eabd309c5d8a780fafa0ab6ed","sha256:026959b0c18b98f75c2d8a951d72948434f3d8913bc0c2baf49ae82b2b5bb6e2"],"state_sha256":"7f60f0632a402116d6db5b3addc7517176ef4c3e94a0e3c03a2cb4d3c7838bbc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"65M6pwVaGhYMYZWVkS3wkfGcjoX2GK1pdBtwfv768ryeF1yRXvysGsPrJY9EbeUsOtkX9F80KBnDYNs3UyzTCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T09:31:50.698058Z","bundle_sha256":"eb9514ed271145bfd5c9a9edd64ac2b9777d63b9a58e82d70f5be45a06af0ef2"}}