{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:Z4J7NF7ZUPPYMIDCW7PCMAWD22","short_pith_number":"pith:Z4J7NF7Z","canonical_record":{"source":{"id":"0801.2964","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2008-01-17T22:31:18Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"244d8da3569e83bf36b1ddebe1b0ce585ec109f81caa2a66189d981367ab2aa9","abstract_canon_sha256":"3122748dda576cff986cf81bba7c4ed7d46e978e741269cf6e040ce9bbf9d25a"},"schema_version":"1.0"},"canonical_sha256":"cf13f697f9a3df862062b7de2602c3d68bc018a195bddc204294286c9bdc4428","source":{"kind":"arxiv","id":"0801.2964","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.2964","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"arxiv_version","alias_value":"0801.2964v1","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.2964","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"pith_short_12","alias_value":"Z4J7NF7ZUPPY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"Z4J7NF7ZUPPYMIDC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"Z4J7NF7Z","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:Z4J7NF7ZUPPYMIDCW7PCMAWD22","target":"record","payload":{"canonical_record":{"source":{"id":"0801.2964","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2008-01-17T22:31:18Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"244d8da3569e83bf36b1ddebe1b0ce585ec109f81caa2a66189d981367ab2aa9","abstract_canon_sha256":"3122748dda576cff986cf81bba7c4ed7d46e978e741269cf6e040ce9bbf9d25a"},"schema_version":"1.0"},"canonical_sha256":"cf13f697f9a3df862062b7de2602c3d68bc018a195bddc204294286c9bdc4428","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:01.760347Z","signature_b64":"nworG2ErtRHS/WogEHFG9/fWFOAGOzd7CTBiqbeWl8yaGaQnTNh+y2T1VfLCg3AjjpXLDq2PMsibvL0qeT8KDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf13f697f9a3df862062b7de2602c3d68bc018a195bddc204294286c9bdc4428","last_reissued_at":"2026-05-18T02:16:01.759673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:01.759673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0801.2964","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":"2026-05-18T02:16:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JMkJJvMCiiJszvEAwjkG6ofDuUtb4Jpdlv4ImlVtc7RPLN+dvp5xgS8NY0yLMIaB7aAhGbNngSRuIX40zpfIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:17:08.526599Z"},"content_sha256":"c397ee0744ab34a55627d72f86e1da48ec3c6cb77d8c68ccf6c2291cf95f312e","schema_version":"1.0","event_id":"sha256:c397ee0744ab34a55627d72f86e1da48ec3c6cb77d8c68ccf6c2291cf95f312e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:Z4J7NF7ZUPPYMIDCW7PCMAWD22","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vortex Splitting in Subcritical Nonlinear Schrodinger Equation","license":"","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"cond-mat.other","authors_text":"Natalia G. Berloff","submitted_at":"2008-01-17T22:31:18Z","abstract_excerpt":"Vortices and axisymmetric vortex rings are considered in the framework of the subcritical nonlinear Schrodinger equations. The higher order nonlinearity present in such systems models many-body interactions in superfluid systems and allows one to study the effects of negative pressure on vortex dynamics. We find the critical pressure for which the straight-line vortex becomes unstable to radial expansion of the core. The energy of the straight-line vortices and energy, impulse and velocity of vortex rings are calculated. The effect of a varying pressure on the vortex core is studied. It is sho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.2964","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":"2026-05-18T02:16:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KyVaw3I2SnqP8wojiOe0deEQPtFrU9Y7n9W6BfziMXejmHhhe9yZlSDxVkRgrMAsMRSOqK+HdF3xBSOJvtH3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:17:08.527336Z"},"content_sha256":"2372e50590ab56a9991cc51aada99e9dce92ef259d3bf54bb0c7a6882e1c8026","schema_version":"1.0","event_id":"sha256:2372e50590ab56a9991cc51aada99e9dce92ef259d3bf54bb0c7a6882e1c8026"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z4J7NF7ZUPPYMIDCW7PCMAWD22/bundle.json","state_url":"https://pith.science/pith/Z4J7NF7ZUPPYMIDCW7PCMAWD22/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z4J7NF7ZUPPYMIDCW7PCMAWD22/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":"2026-06-07T17:17:08Z","links":{"resolver":"https://pith.science/pith/Z4J7NF7ZUPPYMIDCW7PCMAWD22","bundle":"https://pith.science/pith/Z4J7NF7ZUPPYMIDCW7PCMAWD22/bundle.json","state":"https://pith.science/pith/Z4J7NF7ZUPPYMIDCW7PCMAWD22/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z4J7NF7ZUPPYMIDCW7PCMAWD22/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:Z4J7NF7ZUPPYMIDCW7PCMAWD22","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":"3122748dda576cff986cf81bba7c4ed7d46e978e741269cf6e040ce9bbf9d25a","cross_cats_sorted":["physics.flu-dyn"],"license":"","primary_cat":"cond-mat.other","submitted_at":"2008-01-17T22:31:18Z","title_canon_sha256":"244d8da3569e83bf36b1ddebe1b0ce585ec109f81caa2a66189d981367ab2aa9"},"schema_version":"1.0","source":{"id":"0801.2964","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0801.2964","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"arxiv_version","alias_value":"0801.2964v1","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.2964","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"pith_short_12","alias_value":"Z4J7NF7ZUPPY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"Z4J7NF7ZUPPYMIDC","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"Z4J7NF7Z","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:2372e50590ab56a9991cc51aada99e9dce92ef259d3bf54bb0c7a6882e1c8026","target":"graph","created_at":"2026-05-18T02:16:01Z","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":"Vortices and axisymmetric vortex rings are considered in the framework of the subcritical nonlinear Schrodinger equations. The higher order nonlinearity present in such systems models many-body interactions in superfluid systems and allows one to study the effects of negative pressure on vortex dynamics. We find the critical pressure for which the straight-line vortex becomes unstable to radial expansion of the core. The energy of the straight-line vortices and energy, impulse and velocity of vortex rings are calculated. The effect of a varying pressure on the vortex core is studied. It is sho","authors_text":"Natalia G. Berloff","cross_cats":["physics.flu-dyn"],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2008-01-17T22:31:18Z","title":"Vortex Splitting in Subcritical Nonlinear Schrodinger Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.2964","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:c397ee0744ab34a55627d72f86e1da48ec3c6cb77d8c68ccf6c2291cf95f312e","target":"record","created_at":"2026-05-18T02:16:01Z","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":"3122748dda576cff986cf81bba7c4ed7d46e978e741269cf6e040ce9bbf9d25a","cross_cats_sorted":["physics.flu-dyn"],"license":"","primary_cat":"cond-mat.other","submitted_at":"2008-01-17T22:31:18Z","title_canon_sha256":"244d8da3569e83bf36b1ddebe1b0ce585ec109f81caa2a66189d981367ab2aa9"},"schema_version":"1.0","source":{"id":"0801.2964","kind":"arxiv","version":1}},"canonical_sha256":"cf13f697f9a3df862062b7de2602c3d68bc018a195bddc204294286c9bdc4428","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf13f697f9a3df862062b7de2602c3d68bc018a195bddc204294286c9bdc4428","first_computed_at":"2026-05-18T02:16:01.759673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:01.759673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nworG2ErtRHS/WogEHFG9/fWFOAGOzd7CTBiqbeWl8yaGaQnTNh+y2T1VfLCg3AjjpXLDq2PMsibvL0qeT8KDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:01.760347Z","signed_message":"canonical_sha256_bytes"},"source_id":"0801.2964","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c397ee0744ab34a55627d72f86e1da48ec3c6cb77d8c68ccf6c2291cf95f312e","sha256:2372e50590ab56a9991cc51aada99e9dce92ef259d3bf54bb0c7a6882e1c8026"],"state_sha256":"b8cbc0acced5ec86362b2547b66795b4b7876bd5d7bf8777a7206d728f89104b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BVY85UpcvKTSO4JKxG/xlx052IDbU0gwRUp+nRUjVeW3KXDM7qdMW68C1T6Fk25rynTplz/PxoOBwh5N6yFGBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:17:08.530971Z","bundle_sha256":"95a3a01a2534a4e0c198315bcb8fbb6bb5e0c5b4dc5e336e9bd36e232bef594d"}}