{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:L7RZE5BBDYUOSBYSR2DE452PCT","short_pith_number":"pith:L7RZE5BB","canonical_record":{"source":{"id":"1612.01557","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-05T21:30:41Z","cross_cats_sorted":[],"title_canon_sha256":"4bc251d02484463d52fee76a9e6c9ee99b0bd5378e718be5a1fdfab678baf268","abstract_canon_sha256":"0ed95f7a1b309b7b39ea287a681a6902aebd78ee0761deac93f2c7ed56febc7f"},"schema_version":"1.0"},"canonical_sha256":"5fe39274211e28e907128e864e774f14c7efc2586d2affa763a12a1e862ebcad","source":{"kind":"arxiv","id":"1612.01557","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.01557","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"1612.01557v2","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01557","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"L7RZE5BBDYUO","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"L7RZE5BBDYUOSBYS","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"L7RZE5BB","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:L7RZE5BBDYUOSBYSR2DE452PCT","target":"record","payload":{"canonical_record":{"source":{"id":"1612.01557","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-05T21:30:41Z","cross_cats_sorted":[],"title_canon_sha256":"4bc251d02484463d52fee76a9e6c9ee99b0bd5378e718be5a1fdfab678baf268","abstract_canon_sha256":"0ed95f7a1b309b7b39ea287a681a6902aebd78ee0761deac93f2c7ed56febc7f"},"schema_version":"1.0"},"canonical_sha256":"5fe39274211e28e907128e864e774f14c7efc2586d2affa763a12a1e862ebcad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:35.219970Z","signature_b64":"BQJrJEwwJ2KtJGaE8rwlubsc8KJLlJLQHRqfBdQtoEMm2G334rXiDUmvs6Xkr3EiD1Mxk70F9SMOvvcTIF9xCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fe39274211e28e907128e864e774f14c7efc2586d2affa763a12a1e862ebcad","last_reissued_at":"2026-05-18T00:35:35.219397Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:35.219397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.01557","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":"2026-05-18T00:35:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lFrJ2I+k8FMEAFGl1XADPo3iwQDbtWhDj+hn5N/kt5bpeeqA8GoNNuxe/tdtFcOljixsHf4K3LTH0+UdXVfxCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:31:01.190209Z"},"content_sha256":"d1ade70a41d9242a141d6437880901399364d5b8319ee61f11c1286dea521abd","schema_version":"1.0","event_id":"sha256:d1ade70a41d9242a141d6437880901399364d5b8319ee61f11c1286dea521abd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:L7RZE5BBDYUOSBYSR2DE452PCT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spatial Anisotropy in Nonrelativistic Holography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"James T. Liu, Joshua W. Foster","submitted_at":"2016-12-05T21:30:41Z","abstract_excerpt":"We examine holographic theories where Lifshitz symmetry is broken with spatial anisotropy. In particular, we focus on the conditions imposed by the null energy condition, and demonstrate that it is possible to have unusual anisotropic fixed points where a subset of the spatial dimensions have negative scaling exponents. We also construct interpolating solutions between UV and IR fixed points and show that there is essentially no restriction placed on the endpoints of the flow once anisotropic scaling is allowed. As an example, we demonstrate a flow from AdS to AdS with $c_{IR}>c_{UV}$ that is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01557","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":"2026-05-18T00:35:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RuCCUNu9hbszD4p6TGDFOG62bGo+fXuQY2fabY2D2oj11FSv7JA3Ics7ZQR6FlnCQ8esBYzm07aD6PExj9JKDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T15:31:01.190567Z"},"content_sha256":"839ea454aa7cd935121482101955079d017d14c422d6c064f77b33ab96aeb13c","schema_version":"1.0","event_id":"sha256:839ea454aa7cd935121482101955079d017d14c422d6c064f77b33ab96aeb13c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L7RZE5BBDYUOSBYSR2DE452PCT/bundle.json","state_url":"https://pith.science/pith/L7RZE5BBDYUOSBYSR2DE452PCT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L7RZE5BBDYUOSBYSR2DE452PCT/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":"2026-06-04T15:31:01Z","links":{"resolver":"https://pith.science/pith/L7RZE5BBDYUOSBYSR2DE452PCT","bundle":"https://pith.science/pith/L7RZE5BBDYUOSBYSR2DE452PCT/bundle.json","state":"https://pith.science/pith/L7RZE5BBDYUOSBYSR2DE452PCT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L7RZE5BBDYUOSBYSR2DE452PCT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:L7RZE5BBDYUOSBYSR2DE452PCT","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":"0ed95f7a1b309b7b39ea287a681a6902aebd78ee0761deac93f2c7ed56febc7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-05T21:30:41Z","title_canon_sha256":"4bc251d02484463d52fee76a9e6c9ee99b0bd5378e718be5a1fdfab678baf268"},"schema_version":"1.0","source":{"id":"1612.01557","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.01557","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"1612.01557v2","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01557","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"L7RZE5BBDYUO","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"L7RZE5BBDYUOSBYS","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"L7RZE5BB","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:839ea454aa7cd935121482101955079d017d14c422d6c064f77b33ab96aeb13c","target":"graph","created_at":"2026-05-18T00:35:35Z","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 examine holographic theories where Lifshitz symmetry is broken with spatial anisotropy. In particular, we focus on the conditions imposed by the null energy condition, and demonstrate that it is possible to have unusual anisotropic fixed points where a subset of the spatial dimensions have negative scaling exponents. We also construct interpolating solutions between UV and IR fixed points and show that there is essentially no restriction placed on the endpoints of the flow once anisotropic scaling is allowed. As an example, we demonstrate a flow from AdS to AdS with $c_{IR}>c_{UV}$ that is ","authors_text":"James T. Liu, Joshua W. Foster","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-05T21:30:41Z","title":"Spatial Anisotropy in Nonrelativistic Holography"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01557","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:d1ade70a41d9242a141d6437880901399364d5b8319ee61f11c1286dea521abd","target":"record","created_at":"2026-05-18T00:35:35Z","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":"0ed95f7a1b309b7b39ea287a681a6902aebd78ee0761deac93f2c7ed56febc7f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-05T21:30:41Z","title_canon_sha256":"4bc251d02484463d52fee76a9e6c9ee99b0bd5378e718be5a1fdfab678baf268"},"schema_version":"1.0","source":{"id":"1612.01557","kind":"arxiv","version":2}},"canonical_sha256":"5fe39274211e28e907128e864e774f14c7efc2586d2affa763a12a1e862ebcad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fe39274211e28e907128e864e774f14c7efc2586d2affa763a12a1e862ebcad","first_computed_at":"2026-05-18T00:35:35.219397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:35.219397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BQJrJEwwJ2KtJGaE8rwlubsc8KJLlJLQHRqfBdQtoEMm2G334rXiDUmvs6Xkr3EiD1Mxk70F9SMOvvcTIF9xCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:35.219970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.01557","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1ade70a41d9242a141d6437880901399364d5b8319ee61f11c1286dea521abd","sha256:839ea454aa7cd935121482101955079d017d14c422d6c064f77b33ab96aeb13c"],"state_sha256":"e988c7550bc61ee1614bef4f221bf96e1ea4042a49b36c0c173765731e0d4639"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8/MzbtFIBWkj15uRWxpk4RMWzbW3gYzUrwmW2JFIZixB8fw9TPp5wBmKSvxttqd149xLkhRPsMuEz68l5NPqBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T15:31:01.193107Z","bundle_sha256":"9024f58799cd1ca9a48e0d2c390ca18ecd6098903fd77162c1dff265325b7452"}}