{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:4V3PI7XVDQEIUHYGUOGDTXRGVF","short_pith_number":"pith:4V3PI7XV","canonical_record":{"source":{"id":"2104.04189","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-04-09T04:43:45Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"34e7cff42b4879a0d1c111afb400d5a550506890f7040d96dda06e0daac06375","abstract_canon_sha256":"32ecdcaf0ffd417cd9dc310320a8ed0af2e2f214331eabc80acb677f473bb367"},"schema_version":"1.0"},"canonical_sha256":"e576f47ef51c088a1f06a38c39de26a9781caf206932d6e98aeb3a7d1c0a80bc","source":{"kind":"arxiv","id":"2104.04189","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.04189","created_at":"2026-07-05T03:57:53Z"},{"alias_kind":"arxiv_version","alias_value":"2104.04189v2","created_at":"2026-07-05T03:57:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.04189","created_at":"2026-07-05T03:57:53Z"},{"alias_kind":"pith_short_12","alias_value":"4V3PI7XVDQEI","created_at":"2026-07-05T03:57:53Z"},{"alias_kind":"pith_short_16","alias_value":"4V3PI7XVDQEIUHYG","created_at":"2026-07-05T03:57:53Z"},{"alias_kind":"pith_short_8","alias_value":"4V3PI7XV","created_at":"2026-07-05T03:57:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:4V3PI7XVDQEIUHYGUOGDTXRGVF","target":"record","payload":{"canonical_record":{"source":{"id":"2104.04189","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-04-09T04:43:45Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"34e7cff42b4879a0d1c111afb400d5a550506890f7040d96dda06e0daac06375","abstract_canon_sha256":"32ecdcaf0ffd417cd9dc310320a8ed0af2e2f214331eabc80acb677f473bb367"},"schema_version":"1.0"},"canonical_sha256":"e576f47ef51c088a1f06a38c39de26a9781caf206932d6e98aeb3a7d1c0a80bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:57:53.930466Z","signature_b64":"jBfWgLVnujLzSvrotbLKvFkIjcnY4us8AARlxc08VY8SZKIlWOUC8bOWRg/9LheFM0MUgD+k65OffAxqMBVACg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e576f47ef51c088a1f06a38c39de26a9781caf206932d6e98aeb3a7d1c0a80bc","last_reissued_at":"2026-07-05T03:57:53.929979Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:57:53.929979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2104.04189","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":"2026-07-05T03:57:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LLy4O1u5pd7GBOBv5I0cxPNvE5rYK7dNGPaLVwpY3pvZROifYtSEfW2B31HYLnfquGruBbGZaJRJAtxlh7XZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:14:19.627718Z"},"content_sha256":"c7f13adace0add14021ddcb4756b3172f1e9632762c6a27a42a4222ebb42148e","schema_version":"1.0","event_id":"sha256:c7f13adace0add14021ddcb4756b3172f1e9632762c6a27a42a4222ebb42148e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:4V3PI7XVDQEIUHYGUOGDTXRGVF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamic Properties of Two-Dimensional Latticed Holographic System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Jian-Pin Wu, Peng Liu","submitted_at":"2021-04-09T04:43:45Z","abstract_excerpt":"We study the anisotropic properties of dynamical quantities: direct current (DC) conductivity, butterfly velocity, and charge diffusion. The anisotropy plays a crucial role in determining the phase structure of the two-lattice system. Even a small deviation from isotropy can lead to distinct phase structures, as well as the IR fixed points of our holographic systems. In particular, for anisotropic cases, the most important property is that the IR fixed point can be non-AdS$_2 \\times \\mathbb R^2$ even for metallic phases. As that of a one-lattice system, the butterfly velocity and the charge di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.04189","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2104.04189/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":"2026-07-05T03:57:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gi2r6ZvhjY9Jby0zTx13fcKaZiQPcvYX1uKmXnSRruM2fcwxleyV/Bw3LGK7jrH7i2c/egnQquumqHYcBkCUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T13:14:19.628643Z"},"content_sha256":"e322af3a2f4dcbd6311bb50d96849404993a8c0e6bdaf91f5883309e93f1d612","schema_version":"1.0","event_id":"sha256:e322af3a2f4dcbd6311bb50d96849404993a8c0e6bdaf91f5883309e93f1d612"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4V3PI7XVDQEIUHYGUOGDTXRGVF/bundle.json","state_url":"https://pith.science/pith/4V3PI7XVDQEIUHYGUOGDTXRGVF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4V3PI7XVDQEIUHYGUOGDTXRGVF/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":"2026-08-04T13:14:19Z","links":{"resolver":"https://pith.science/pith/4V3PI7XVDQEIUHYGUOGDTXRGVF","bundle":"https://pith.science/pith/4V3PI7XVDQEIUHYGUOGDTXRGVF/bundle.json","state":"https://pith.science/pith/4V3PI7XVDQEIUHYGUOGDTXRGVF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4V3PI7XVDQEIUHYGUOGDTXRGVF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:4V3PI7XVDQEIUHYGUOGDTXRGVF","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":"32ecdcaf0ffd417cd9dc310320a8ed0af2e2f214331eabc80acb677f473bb367","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-04-09T04:43:45Z","title_canon_sha256":"34e7cff42b4879a0d1c111afb400d5a550506890f7040d96dda06e0daac06375"},"schema_version":"1.0","source":{"id":"2104.04189","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2104.04189","created_at":"2026-07-05T03:57:53Z"},{"alias_kind":"arxiv_version","alias_value":"2104.04189v2","created_at":"2026-07-05T03:57:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2104.04189","created_at":"2026-07-05T03:57:53Z"},{"alias_kind":"pith_short_12","alias_value":"4V3PI7XVDQEI","created_at":"2026-07-05T03:57:53Z"},{"alias_kind":"pith_short_16","alias_value":"4V3PI7XVDQEIUHYG","created_at":"2026-07-05T03:57:53Z"},{"alias_kind":"pith_short_8","alias_value":"4V3PI7XV","created_at":"2026-07-05T03:57:53Z"}],"graph_snapshots":[{"event_id":"sha256:e322af3a2f4dcbd6311bb50d96849404993a8c0e6bdaf91f5883309e93f1d612","target":"graph","created_at":"2026-07-05T03:57:53Z","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/2104.04189/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the anisotropic properties of dynamical quantities: direct current (DC) conductivity, butterfly velocity, and charge diffusion. The anisotropy plays a crucial role in determining the phase structure of the two-lattice system. Even a small deviation from isotropy can lead to distinct phase structures, as well as the IR fixed points of our holographic systems. In particular, for anisotropic cases, the most important property is that the IR fixed point can be non-AdS$_2 \\times \\mathbb R^2$ even for metallic phases. As that of a one-lattice system, the butterfly velocity and the charge di","authors_text":"Jian-Pin Wu, Peng Liu","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-04-09T04:43:45Z","title":"Dynamic Properties of Two-Dimensional Latticed Holographic System"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2104.04189","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:c7f13adace0add14021ddcb4756b3172f1e9632762c6a27a42a4222ebb42148e","target":"record","created_at":"2026-07-05T03:57:53Z","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":"32ecdcaf0ffd417cd9dc310320a8ed0af2e2f214331eabc80acb677f473bb367","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-04-09T04:43:45Z","title_canon_sha256":"34e7cff42b4879a0d1c111afb400d5a550506890f7040d96dda06e0daac06375"},"schema_version":"1.0","source":{"id":"2104.04189","kind":"arxiv","version":2}},"canonical_sha256":"e576f47ef51c088a1f06a38c39de26a9781caf206932d6e98aeb3a7d1c0a80bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e576f47ef51c088a1f06a38c39de26a9781caf206932d6e98aeb3a7d1c0a80bc","first_computed_at":"2026-07-05T03:57:53.929979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:57:53.929979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jBfWgLVnujLzSvrotbLKvFkIjcnY4us8AARlxc08VY8SZKIlWOUC8bOWRg/9LheFM0MUgD+k65OffAxqMBVACg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:57:53.930466Z","signed_message":"canonical_sha256_bytes"},"source_id":"2104.04189","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7f13adace0add14021ddcb4756b3172f1e9632762c6a27a42a4222ebb42148e","sha256:e322af3a2f4dcbd6311bb50d96849404993a8c0e6bdaf91f5883309e93f1d612"],"state_sha256":"aec767eabbc75188790c46e27727a2001e5d4fd3d07ff940559759564e007bbb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rn7rMTExw/UMgLljYeJf1nG6BquocuQB1BshqwL97ND61KZweCIMODTvSasdNOymttDNc8wkHcCW7O4IXRD2BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T13:14:19.637388Z","bundle_sha256":"8008c7ce829c3cff9f93f012927b3e29b701bc91cca5b6f2a2fa109bc8373908"}}