{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KM57SYKWOBZ4ZFWLPJ7AYTBLNW","short_pith_number":"pith:KM57SYKW","canonical_record":{"source":{"id":"1712.00548","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-02T04:21:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"dd0ec1a1b2f177352f947ab95b0f3411e82d44617f9e8d85233317436989a88a","abstract_canon_sha256":"9ca0b3f8c6eb169d118e0e5f75a8b4db59f835ebd801dae33c1eba9e7e4b5549"},"schema_version":"1.0"},"canonical_sha256":"533bf961567073cc96cb7a7e0c4c2b6d983a40079c3576d455b2c28ceaa5c689","source":{"kind":"arxiv","id":"1712.00548","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00548","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00548v2","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00548","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"KM57SYKWOBZ4","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KM57SYKWOBZ4ZFWL","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KM57SYKW","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KM57SYKWOBZ4ZFWLPJ7AYTBLNW","target":"record","payload":{"canonical_record":{"source":{"id":"1712.00548","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-02T04:21:26Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"dd0ec1a1b2f177352f947ab95b0f3411e82d44617f9e8d85233317436989a88a","abstract_canon_sha256":"9ca0b3f8c6eb169d118e0e5f75a8b4db59f835ebd801dae33c1eba9e7e4b5549"},"schema_version":"1.0"},"canonical_sha256":"533bf961567073cc96cb7a7e0c4c2b6d983a40079c3576d455b2c28ceaa5c689","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:04.350208Z","signature_b64":"3JKKNPT7By7y9IkOfINZ7oTTMC1O5FKgxtJP+jsq9zZn18tKyiq320PqNPKRgfu8wMdOgQ9stAi1TH3WO6O0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"533bf961567073cc96cb7a7e0c4c2b6d983a40079c3576d455b2c28ceaa5c689","last_reissued_at":"2026-05-18T00:28:04.349515Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:04.349515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.00548","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":"2026-05-18T00:28:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C7QdjVv20PF6CE3LmTs7vETVRITK30XvsT8ez78GW/iF3vnGCv0Qj8w6xhWEZk4pkepzJXkAn1jSrAgFtzDzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:48:07.025244Z"},"content_sha256":"8805708a5fde77eb2d8b1c63937f12b54c851c1ae4939c3ac7aa2b432982d6f2","schema_version":"1.0","event_id":"sha256:8805708a5fde77eb2d8b1c63937f12b54c851c1ae4939c3ac7aa2b432982d6f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KM57SYKWOBZ4ZFWLPJ7AYTBLNW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Holographic Lattices and Numerical Techniques","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Tomas Andrade","submitted_at":"2017-12-02T04:21:26Z","abstract_excerpt":"In these notes we discuss various methods relevant to the numerical construction of stationary black hole solutions in General Relativity with negative cosmological constant. We focus on solutions which explicitly break translational invariance along the boundary directions. Within the framework of the gauge/gravity duality, these can be interpreted as lattices. They have finite conductivity and thus help us move one step forward towards more realistic scenarios in holography."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00548","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":"2026-05-18T00:28:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wa3vKrlYiIUOxI4OAwUgpvcXHx+kSGcMypgiaM0g5zFk3gxNBwIZ1tDV5KL5YPIf23THWvehZW4zeJwAmYdOCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:48:07.025705Z"},"content_sha256":"339d5820d99fc64f6f1841c2dcbd25cc7000c1abba6a0ca9315536c3098223cc","schema_version":"1.0","event_id":"sha256:339d5820d99fc64f6f1841c2dcbd25cc7000c1abba6a0ca9315536c3098223cc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KM57SYKWOBZ4ZFWLPJ7AYTBLNW/bundle.json","state_url":"https://pith.science/pith/KM57SYKWOBZ4ZFWLPJ7AYTBLNW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KM57SYKWOBZ4ZFWLPJ7AYTBLNW/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":"2026-08-04T07:48:07Z","links":{"resolver":"https://pith.science/pith/KM57SYKWOBZ4ZFWLPJ7AYTBLNW","bundle":"https://pith.science/pith/KM57SYKWOBZ4ZFWLPJ7AYTBLNW/bundle.json","state":"https://pith.science/pith/KM57SYKWOBZ4ZFWLPJ7AYTBLNW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KM57SYKWOBZ4ZFWLPJ7AYTBLNW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KM57SYKWOBZ4ZFWLPJ7AYTBLNW","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":"9ca0b3f8c6eb169d118e0e5f75a8b4db59f835ebd801dae33c1eba9e7e4b5549","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-02T04:21:26Z","title_canon_sha256":"dd0ec1a1b2f177352f947ab95b0f3411e82d44617f9e8d85233317436989a88a"},"schema_version":"1.0","source":{"id":"1712.00548","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00548","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00548v2","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00548","created_at":"2026-05-18T00:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"KM57SYKWOBZ4","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KM57SYKWOBZ4ZFWL","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KM57SYKW","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:339d5820d99fc64f6f1841c2dcbd25cc7000c1abba6a0ca9315536c3098223cc","target":"graph","created_at":"2026-05-18T00:28:04Z","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":"In these notes we discuss various methods relevant to the numerical construction of stationary black hole solutions in General Relativity with negative cosmological constant. We focus on solutions which explicitly break translational invariance along the boundary directions. Within the framework of the gauge/gravity duality, these can be interpreted as lattices. They have finite conductivity and thus help us move one step forward towards more realistic scenarios in holography.","authors_text":"Tomas Andrade","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-02T04:21:26Z","title":"Holographic Lattices and Numerical Techniques"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00548","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":"sha256:8805708a5fde77eb2d8b1c63937f12b54c851c1ae4939c3ac7aa2b432982d6f2","target":"record","created_at":"2026-05-18T00:28:04Z","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":"9ca0b3f8c6eb169d118e0e5f75a8b4db59f835ebd801dae33c1eba9e7e4b5549","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-12-02T04:21:26Z","title_canon_sha256":"dd0ec1a1b2f177352f947ab95b0f3411e82d44617f9e8d85233317436989a88a"},"schema_version":"1.0","source":{"id":"1712.00548","kind":"arxiv","version":2}},"canonical_sha256":"533bf961567073cc96cb7a7e0c4c2b6d983a40079c3576d455b2c28ceaa5c689","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"533bf961567073cc96cb7a7e0c4c2b6d983a40079c3576d455b2c28ceaa5c689","first_computed_at":"2026-05-18T00:28:04.349515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:04.349515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3JKKNPT7By7y9IkOfINZ7oTTMC1O5FKgxtJP+jsq9zZn18tKyiq320PqNPKRgfu8wMdOgQ9stAi1TH3WO6O0Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:04.350208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.00548","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8805708a5fde77eb2d8b1c63937f12b54c851c1ae4939c3ac7aa2b432982d6f2","sha256:339d5820d99fc64f6f1841c2dcbd25cc7000c1abba6a0ca9315536c3098223cc"],"state_sha256":"9c90cabba0b422e0a57efa6ca413a241a8ea37844d46a69af30ab6a1efcbe9ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tVqA/bO2bBmcpgvFv2xU6txMlwWsPBuDV5y2/aI2P0Aapk8XsTFEUcmzK7SLMY8KtDPDLZLOM3+YTCDJ9VKODA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T07:48:07.032583Z","bundle_sha256":"5940960cfdd278869603b2fcfcf1698a6c991361fc791265fca74fa67575b0fb"}}