{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:IVPRUOQNK767LRXNTKAFHA4ELZ","short_pith_number":"pith:IVPRUOQN","schema_version":"1.0","canonical_sha256":"455f1a3a0d57fdf5c6ed9a805383845e62627a311550b0507dc121307a236c0a","source":{"kind":"arxiv","id":"1609.08241","version":1},"attestation_state":"computed","paper":{"title":"Phase transition in anisotropic holographic superfluids with arbitrary $z$ and $\\alpha$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jae-Hyuk Oh, Jiwon Park, Miok Park","submitted_at":"2016-09-27T02:30:38Z","abstract_excerpt":"Einstein-dilaton-$U(2)$ gauge field theory is considered in a spacetime characterised by $\\alpha$ and $z$, which are the hyperscaling violation factor and the dynamical critical exponent respectively. We obtain the critical values of chemical potential $\\mu_c$ that is defined on its boundary dual fluid and derives phase transition from spatially isotropic to anisotropic phase for the various values of the $\\alpha$ and $z$. To do so, we first apply Sturm-Liouville theory and estimate the upper bounds of the critical values of the chemical potential. We also employ a numerical method in the rang"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1609.08241","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-09-27T02:30:38Z","cross_cats_sorted":[],"title_canon_sha256":"05588d65a6d8d2581e7112586d351d4d6ab5522decff681851922580a734fee2","abstract_canon_sha256":"239e643e6d51a2fd6f41baf83bef776a97bd4231f09a27487cf1820196c046f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:46.299924Z","signature_b64":"iyso+jpARfQMDE5AQDyqbwbMn51WGFUkByuBINEUwbVB9LYFbnJ7+Ceuh4nJyFDZAAE66j5KKwb/l5ZtXcxRAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"455f1a3a0d57fdf5c6ed9a805383845e62627a311550b0507dc121307a236c0a","last_reissued_at":"2026-05-18T01:03:46.299367Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:46.299367Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase transition in anisotropic holographic superfluids with arbitrary $z$ and $\\alpha$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jae-Hyuk Oh, Jiwon Park, Miok Park","submitted_at":"2016-09-27T02:30:38Z","abstract_excerpt":"Einstein-dilaton-$U(2)$ gauge field theory is considered in a spacetime characterised by $\\alpha$ and $z$, which are the hyperscaling violation factor and the dynamical critical exponent respectively. We obtain the critical values of chemical potential $\\mu_c$ that is defined on its boundary dual fluid and derives phase transition from spatially isotropic to anisotropic phase for the various values of the $\\alpha$ and $z$. To do so, we first apply Sturm-Liouville theory and estimate the upper bounds of the critical values of the chemical potential. We also employ a numerical method in the rang"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08241","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.08241","created_at":"2026-05-18T01:03:46.299460+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.08241v1","created_at":"2026-05-18T01:03:46.299460+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08241","created_at":"2026-05-18T01:03:46.299460+00:00"},{"alias_kind":"pith_short_12","alias_value":"IVPRUOQNK767","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"IVPRUOQNK767LRXN","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"IVPRUOQN","created_at":"2026-05-18T12:30:22.444734+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IVPRUOQNK767LRXNTKAFHA4ELZ","json":"https://pith.science/pith/IVPRUOQNK767LRXNTKAFHA4ELZ.json","graph_json":"https://pith.science/api/pith-number/IVPRUOQNK767LRXNTKAFHA4ELZ/graph.json","events_json":"https://pith.science/api/pith-number/IVPRUOQNK767LRXNTKAFHA4ELZ/events.json","paper":"https://pith.science/paper/IVPRUOQN"},"agent_actions":{"view_html":"https://pith.science/pith/IVPRUOQNK767LRXNTKAFHA4ELZ","download_json":"https://pith.science/pith/IVPRUOQNK767LRXNTKAFHA4ELZ.json","view_paper":"https://pith.science/paper/IVPRUOQN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.08241&json=true","fetch_graph":"https://pith.science/api/pith-number/IVPRUOQNK767LRXNTKAFHA4ELZ/graph.json","fetch_events":"https://pith.science/api/pith-number/IVPRUOQNK767LRXNTKAFHA4ELZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IVPRUOQNK767LRXNTKAFHA4ELZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IVPRUOQNK767LRXNTKAFHA4ELZ/action/storage_attestation","attest_author":"https://pith.science/pith/IVPRUOQNK767LRXNTKAFHA4ELZ/action/author_attestation","sign_citation":"https://pith.science/pith/IVPRUOQNK767LRXNTKAFHA4ELZ/action/citation_signature","submit_replication":"https://pith.science/pith/IVPRUOQNK767LRXNTKAFHA4ELZ/action/replication_record"}},"created_at":"2026-05-18T01:03:46.299460+00:00","updated_at":"2026-05-18T01:03:46.299460+00:00"}