{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:YXUVFSQDRGM3DDJLJKMPND6RGT","short_pith_number":"pith:YXUVFSQD","canonical_record":{"source":{"id":"1906.09620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-23T17:59:43Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"19ac8c7b393ae4393232b680bc3a3a55cb5bbdec279f9126b6d25586cdd0fbe7","abstract_canon_sha256":"4da0adf2f0d275765af61a024cfde96babb159011641794074f6c1f450039919"},"schema_version":"1.0"},"canonical_sha256":"c5e952ca038999b18d2b4a98f68fd134ff4fd53188051bae9f14348a6d58e585","source":{"kind":"arxiv","id":"1906.09620","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09620","created_at":"2026-07-05T00:39:55Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09620v1","created_at":"2026-07-05T00:39:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09620","created_at":"2026-07-05T00:39:55Z"},{"alias_kind":"pith_short_12","alias_value":"YXUVFSQDRGM3","created_at":"2026-07-05T00:39:55Z"},{"alias_kind":"pith_short_16","alias_value":"YXUVFSQDRGM3DDJL","created_at":"2026-07-05T00:39:55Z"},{"alias_kind":"pith_short_8","alias_value":"YXUVFSQD","created_at":"2026-07-05T00:39:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:YXUVFSQDRGM3DDJLJKMPND6RGT","target":"record","payload":{"canonical_record":{"source":{"id":"1906.09620","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-23T17:59:43Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"19ac8c7b393ae4393232b680bc3a3a55cb5bbdec279f9126b6d25586cdd0fbe7","abstract_canon_sha256":"4da0adf2f0d275765af61a024cfde96babb159011641794074f6c1f450039919"},"schema_version":"1.0"},"canonical_sha256":"c5e952ca038999b18d2b4a98f68fd134ff4fd53188051bae9f14348a6d58e585","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:39:55.953358Z","signature_b64":"pRdhNWHDiWknKlGE4vCFoVqqZFyF5Hgun7poJRUDwUjxOObx/Y3KlN/NLJR7KggphSnpQEavs5LWnDukT67QAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5e952ca038999b18d2b4a98f68fd134ff4fd53188051bae9f14348a6d58e585","last_reissued_at":"2026-07-05T00:39:55.952907Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:39:55.952907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.09620","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":"2026-07-05T00:39:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F3rmwx2HZ/+L0G2ADfrTuIeppHyY8IGTwoSyIWXGRO41qfrW50zJ/7grv8QRHVAvL0mVirVwVxemZqQp0/lkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:14:56.456609Z"},"content_sha256":"889a2864061d5cae912282a0edf5849a1ec3db9622413d16abdff7faf5e08d3e","schema_version":"1.0","event_id":"sha256:889a2864061d5cae912282a0edf5849a1ec3db9622413d16abdff7faf5e08d3e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:YXUVFSQDRGM3DDJLJKMPND6RGT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$c$-Theorem for Anisotropic RG Flows from Holographic Entanglement Entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Chong-Sun Chu, Dimitrios Giataganas","submitted_at":"2019-06-23T17:59:43Z","abstract_excerpt":"We propose a candidate $c$-function in arbitrary dimensional quantum field theories with broken Lorentz and rotational symmetry. For holographic theories we derive the necessary and sufficient conditions on the geometric background for these $c$-functions to satisfy the $c$-theorem. We obtain the null energy conditions for anisotropic background to show that do not themselves assure the $c$-theorem. By employing them, we find that is possible to impose conditions on the UV data that are enough to guarantee at least one monotonic $c$-function along the RG flow. These UV conditions can be used a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09620","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1906.09620/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:39:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MkympwH3x6alMuuwQ0PB41jmCcHZqPvyWk6K0TGnLw9mmLQxf2bmt1Iwv07xtxKcveYlAXAhSNDXOGNQEo+TAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T05:14:56.457101Z"},"content_sha256":"127c7ce1025a110de5941f5da63cb395dbad673cbe18db1eb8b44f0ebd9c7ff2","schema_version":"1.0","event_id":"sha256:127c7ce1025a110de5941f5da63cb395dbad673cbe18db1eb8b44f0ebd9c7ff2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YXUVFSQDRGM3DDJLJKMPND6RGT/bundle.json","state_url":"https://pith.science/pith/YXUVFSQDRGM3DDJLJKMPND6RGT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YXUVFSQDRGM3DDJLJKMPND6RGT/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":"2026-08-09T05:14:56Z","links":{"resolver":"https://pith.science/pith/YXUVFSQDRGM3DDJLJKMPND6RGT","bundle":"https://pith.science/pith/YXUVFSQDRGM3DDJLJKMPND6RGT/bundle.json","state":"https://pith.science/pith/YXUVFSQDRGM3DDJLJKMPND6RGT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YXUVFSQDRGM3DDJLJKMPND6RGT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YXUVFSQDRGM3DDJLJKMPND6RGT","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":"4da0adf2f0d275765af61a024cfde96babb159011641794074f6c1f450039919","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-23T17:59:43Z","title_canon_sha256":"19ac8c7b393ae4393232b680bc3a3a55cb5bbdec279f9126b6d25586cdd0fbe7"},"schema_version":"1.0","source":{"id":"1906.09620","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09620","created_at":"2026-07-05T00:39:55Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09620v1","created_at":"2026-07-05T00:39:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09620","created_at":"2026-07-05T00:39:55Z"},{"alias_kind":"pith_short_12","alias_value":"YXUVFSQDRGM3","created_at":"2026-07-05T00:39:55Z"},{"alias_kind":"pith_short_16","alias_value":"YXUVFSQDRGM3DDJL","created_at":"2026-07-05T00:39:55Z"},{"alias_kind":"pith_short_8","alias_value":"YXUVFSQD","created_at":"2026-07-05T00:39:55Z"}],"graph_snapshots":[{"event_id":"sha256:127c7ce1025a110de5941f5da63cb395dbad673cbe18db1eb8b44f0ebd9c7ff2","target":"graph","created_at":"2026-07-05T00:39:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1906.09620/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a candidate $c$-function in arbitrary dimensional quantum field theories with broken Lorentz and rotational symmetry. For holographic theories we derive the necessary and sufficient conditions on the geometric background for these $c$-functions to satisfy the $c$-theorem. We obtain the null energy conditions for anisotropic background to show that do not themselves assure the $c$-theorem. By employing them, we find that is possible to impose conditions on the UV data that are enough to guarantee at least one monotonic $c$-function along the RG flow. These UV conditions can be used a","authors_text":"Chong-Sun Chu, Dimitrios Giataganas","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-23T17:59:43Z","title":"$c$-Theorem for Anisotropic RG Flows from Holographic Entanglement Entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09620","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":"sha256:889a2864061d5cae912282a0edf5849a1ec3db9622413d16abdff7faf5e08d3e","target":"record","created_at":"2026-07-05T00:39:55Z","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":"4da0adf2f0d275765af61a024cfde96babb159011641794074f6c1f450039919","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-23T17:59:43Z","title_canon_sha256":"19ac8c7b393ae4393232b680bc3a3a55cb5bbdec279f9126b6d25586cdd0fbe7"},"schema_version":"1.0","source":{"id":"1906.09620","kind":"arxiv","version":1}},"canonical_sha256":"c5e952ca038999b18d2b4a98f68fd134ff4fd53188051bae9f14348a6d58e585","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5e952ca038999b18d2b4a98f68fd134ff4fd53188051bae9f14348a6d58e585","first_computed_at":"2026-07-05T00:39:55.952907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:39:55.952907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pRdhNWHDiWknKlGE4vCFoVqqZFyF5Hgun7poJRUDwUjxOObx/Y3KlN/NLJR7KggphSnpQEavs5LWnDukT67QAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:39:55.953358Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.09620","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:889a2864061d5cae912282a0edf5849a1ec3db9622413d16abdff7faf5e08d3e","sha256:127c7ce1025a110de5941f5da63cb395dbad673cbe18db1eb8b44f0ebd9c7ff2"],"state_sha256":"5d489e6b87b52a1893d002dfd893b2d6d1eef0b6340f287edec5b3737c048b7f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"suUQhoWL44e/6i38lPBmC3nLUsfusYvMt6twy4ODDIfl1HIvV7XYuioFypb64VmFwa5DJC/n9GVVgKmmklwyCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T05:14:56.460884Z","bundle_sha256":"4147d92bb1d4e4ab605fa085ce21782ef42604afaf3ead38bdef4272362123b0"}}