{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:TDRTUHWE25XMD3VPIQFSKQLKKZ","short_pith_number":"pith:TDRTUHWE","schema_version":"1.0","canonical_sha256":"98e33a1ec4d76ec1eeaf440b25416a56429d21ad5205b663c55c7d609885a4a2","source":{"kind":"arxiv","id":"1403.0752","version":2},"attestation_state":"computed","paper":{"title":"Can a stationary Bianchi black brane have momentum along the direction with no translational symmetry?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Akihiro Ishibashi, Kengo Maeda, Norihiro Iizuka","submitted_at":"2014-03-04T11:54:38Z","abstract_excerpt":"Bianchi black branes (black brane solutions with homogeneous but anisotropic horizons classified by the Bianchi type) provide a simple holographic setting with lattice structures taken into account. In the case of holographic superconductor, we have a persistent current with lattices. Accordingly, we expect that in the dual gravity side, a black brane should carry some momentum along a direction of lattice structure, where translational invariance is broken. Motivated by this expectation, we consider whether---and if possible, in what circumstances---a Bianchi black brane can have momentum alo"},"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":"1403.0752","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-04T11:54:38Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3e0d3f7a81e974fcf4854ba9e3aa6b7d7f7fd99c2a50bb33b46dfd29d593f949","abstract_canon_sha256":"39908d7ce178765756e191fbc9ef3f676c6933b7a13169432aa461c6df70369c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:20.362604Z","signature_b64":"AmY5Xq5ws7NbBC8TyBJk8+hlxr2dm6iKAeVD3G8qvThS7TGDNVM8WJw+qB9icXpyrMyCj61VtMWEL03SpjKHAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98e33a1ec4d76ec1eeaf440b25416a56429d21ad5205b663c55c7d609885a4a2","last_reissued_at":"2026-05-18T01:44:20.361884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:20.361884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Can a stationary Bianchi black brane have momentum along the direction with no translational symmetry?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Akihiro Ishibashi, Kengo Maeda, Norihiro Iizuka","submitted_at":"2014-03-04T11:54:38Z","abstract_excerpt":"Bianchi black branes (black brane solutions with homogeneous but anisotropic horizons classified by the Bianchi type) provide a simple holographic setting with lattice structures taken into account. In the case of holographic superconductor, we have a persistent current with lattices. Accordingly, we expect that in the dual gravity side, a black brane should carry some momentum along a direction of lattice structure, where translational invariance is broken. Motivated by this expectation, we consider whether---and if possible, in what circumstances---a Bianchi black brane can have momentum alo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0752","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1403.0752","created_at":"2026-05-18T01:44:20.361993+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.0752v2","created_at":"2026-05-18T01:44:20.361993+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0752","created_at":"2026-05-18T01:44:20.361993+00:00"},{"alias_kind":"pith_short_12","alias_value":"TDRTUHWE25XM","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"TDRTUHWE25XMD3VP","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"TDRTUHWE","created_at":"2026-05-18T12:28:49.207871+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/TDRTUHWE25XMD3VPIQFSKQLKKZ","json":"https://pith.science/pith/TDRTUHWE25XMD3VPIQFSKQLKKZ.json","graph_json":"https://pith.science/api/pith-number/TDRTUHWE25XMD3VPIQFSKQLKKZ/graph.json","events_json":"https://pith.science/api/pith-number/TDRTUHWE25XMD3VPIQFSKQLKKZ/events.json","paper":"https://pith.science/paper/TDRTUHWE"},"agent_actions":{"view_html":"https://pith.science/pith/TDRTUHWE25XMD3VPIQFSKQLKKZ","download_json":"https://pith.science/pith/TDRTUHWE25XMD3VPIQFSKQLKKZ.json","view_paper":"https://pith.science/paper/TDRTUHWE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.0752&json=true","fetch_graph":"https://pith.science/api/pith-number/TDRTUHWE25XMD3VPIQFSKQLKKZ/graph.json","fetch_events":"https://pith.science/api/pith-number/TDRTUHWE25XMD3VPIQFSKQLKKZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TDRTUHWE25XMD3VPIQFSKQLKKZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TDRTUHWE25XMD3VPIQFSKQLKKZ/action/storage_attestation","attest_author":"https://pith.science/pith/TDRTUHWE25XMD3VPIQFSKQLKKZ/action/author_attestation","sign_citation":"https://pith.science/pith/TDRTUHWE25XMD3VPIQFSKQLKKZ/action/citation_signature","submit_replication":"https://pith.science/pith/TDRTUHWE25XMD3VPIQFSKQLKKZ/action/replication_record"}},"created_at":"2026-05-18T01:44:20.361993+00:00","updated_at":"2026-05-18T01:44:20.361993+00:00"}