{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QW57BUPJU47YGSN7ZUO2ZCNBFG","short_pith_number":"pith:QW57BUPJ","canonical_record":{"source":{"id":"1903.00804","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-03-03T01:11:20Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"e33ca72a4ba6bad4ef7c20f3e648a1daf6be611c5a471fb71006d9ec66bf9f24","abstract_canon_sha256":"8e6a224697fac5eef780b5670a3587cdb07f4f21454bd2cff58b77bb95ae90e0"},"schema_version":"1.0"},"canonical_sha256":"85bbf0d1e9a73f8349bfcd1dac89a129bdb7ec5e7bbcb393f5d56c03ee2d0c8d","source":{"kind":"arxiv","id":"1903.00804","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.00804","created_at":"2026-07-05T03:52:49Z"},{"alias_kind":"arxiv_version","alias_value":"1903.00804v3","created_at":"2026-07-05T03:52:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00804","created_at":"2026-07-05T03:52:49Z"},{"alias_kind":"pith_short_12","alias_value":"QW57BUPJU47Y","created_at":"2026-07-05T03:52:49Z"},{"alias_kind":"pith_short_16","alias_value":"QW57BUPJU47YGSN7","created_at":"2026-07-05T03:52:49Z"},{"alias_kind":"pith_short_8","alias_value":"QW57BUPJ","created_at":"2026-07-05T03:52:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QW57BUPJU47YGSN7ZUO2ZCNBFG","target":"record","payload":{"canonical_record":{"source":{"id":"1903.00804","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-03-03T01:11:20Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"title_canon_sha256":"e33ca72a4ba6bad4ef7c20f3e648a1daf6be611c5a471fb71006d9ec66bf9f24","abstract_canon_sha256":"8e6a224697fac5eef780b5670a3587cdb07f4f21454bd2cff58b77bb95ae90e0"},"schema_version":"1.0"},"canonical_sha256":"85bbf0d1e9a73f8349bfcd1dac89a129bdb7ec5e7bbcb393f5d56c03ee2d0c8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:52:49.067264Z","signature_b64":"PE+ksumGfBTC8KABq/zcOvzqzs4hJcQY6V4XASC+eIkRUACXTlM1WMdeEVSxvD6xrlBF9zaDOCzko9ZynxtYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85bbf0d1e9a73f8349bfcd1dac89a129bdb7ec5e7bbcb393f5d56c03ee2d0c8d","last_reissued_at":"2026-07-05T03:52:49.066775Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:52:49.066775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.00804","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:52:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UrewU4E+LliW6Yg4R8wC2TLM0uCExCtA8KjpPYWxlF/Mi3T2P69ytxWte1k2QlAOEq63HLrkYU4AhhkxMFFmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T09:05:17.912943Z"},"content_sha256":"bf40a2932192e65f05e56badea80589bd481feec878ae6cb0fec4a4b0dcd9482","schema_version":"1.0","event_id":"sha256:bf40a2932192e65f05e56badea80589bd481feec878ae6cb0fec4a4b0dcd9482"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QW57BUPJU47YGSN7ZUO2ZCNBFG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Machine Learning Holographic Mapping by Neural Network Renormalization Group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"cond-mat.dis-nn","authors_text":"Hong-Ye Hu, Lei Wang, Shuo-Hui Li, Yi-Zhuang You","submitted_at":"2019-03-03T01:11:20Z","abstract_excerpt":"The exact holographic mapping (EHM) provides an explicit duality map between a conformal field theory (CFT) configuration and a massive field propagating on an emergent classical geometry. However, designing the optimal holographic mapping is challenging. Here we introduce the neural network renormalization group as a universal approach to design generic EHM for interacting field theories. Given a field theory action, we train a flow-based hierarchical deep generative neural network to reproduce the boundary field ensemble from uncorrelated bulk field fluctuations. In this way, the neural netw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00804","kind":"arxiv","version":3},"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/1903.00804/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":"2026-07-05T03:52:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wb36A4ql5Z9PNbOHcnZ8jWOawq2GByTiX6BDHS7nZC3Nka50B/5ZD1jEICF15+/GKCaHQO4uXy9l2TRlDXNZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T09:05:17.913862Z"},"content_sha256":"540fbad288b1afd80579a42ea14b3c61b678ef8ce01e9b4e6f746949dfcdccc4","schema_version":"1.0","event_id":"sha256:540fbad288b1afd80579a42ea14b3c61b678ef8ce01e9b4e6f746949dfcdccc4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QW57BUPJU47YGSN7ZUO2ZCNBFG/bundle.json","state_url":"https://pith.science/pith/QW57BUPJU47YGSN7ZUO2ZCNBFG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QW57BUPJU47YGSN7ZUO2ZCNBFG/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":"2026-08-05T09:05:17Z","links":{"resolver":"https://pith.science/pith/QW57BUPJU47YGSN7ZUO2ZCNBFG","bundle":"https://pith.science/pith/QW57BUPJU47YGSN7ZUO2ZCNBFG/bundle.json","state":"https://pith.science/pith/QW57BUPJU47YGSN7ZUO2ZCNBFG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QW57BUPJU47YGSN7ZUO2ZCNBFG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QW57BUPJU47YGSN7ZUO2ZCNBFG","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":"8e6a224697fac5eef780b5670a3587cdb07f4f21454bd2cff58b77bb95ae90e0","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-03-03T01:11:20Z","title_canon_sha256":"e33ca72a4ba6bad4ef7c20f3e648a1daf6be611c5a471fb71006d9ec66bf9f24"},"schema_version":"1.0","source":{"id":"1903.00804","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.00804","created_at":"2026-07-05T03:52:49Z"},{"alias_kind":"arxiv_version","alias_value":"1903.00804v3","created_at":"2026-07-05T03:52:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00804","created_at":"2026-07-05T03:52:49Z"},{"alias_kind":"pith_short_12","alias_value":"QW57BUPJU47Y","created_at":"2026-07-05T03:52:49Z"},{"alias_kind":"pith_short_16","alias_value":"QW57BUPJU47YGSN7","created_at":"2026-07-05T03:52:49Z"},{"alias_kind":"pith_short_8","alias_value":"QW57BUPJ","created_at":"2026-07-05T03:52:49Z"}],"graph_snapshots":[{"event_id":"sha256:540fbad288b1afd80579a42ea14b3c61b678ef8ce01e9b4e6f746949dfcdccc4","target":"graph","created_at":"2026-07-05T03:52:49Z","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/1903.00804/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The exact holographic mapping (EHM) provides an explicit duality map between a conformal field theory (CFT) configuration and a massive field propagating on an emergent classical geometry. However, designing the optimal holographic mapping is challenging. Here we introduce the neural network renormalization group as a universal approach to design generic EHM for interacting field theories. Given a field theory action, we train a flow-based hierarchical deep generative neural network to reproduce the boundary field ensemble from uncorrelated bulk field fluctuations. In this way, the neural netw","authors_text":"Hong-Ye Hu, Lei Wang, Shuo-Hui Li, Yi-Zhuang You","cross_cats":["cond-mat.stat-mech","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-03-03T01:11:20Z","title":"Machine Learning Holographic Mapping by Neural Network Renormalization Group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00804","kind":"arxiv","version":3},"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:bf40a2932192e65f05e56badea80589bd481feec878ae6cb0fec4a4b0dcd9482","target":"record","created_at":"2026-07-05T03:52:49Z","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":"8e6a224697fac5eef780b5670a3587cdb07f4f21454bd2cff58b77bb95ae90e0","cross_cats_sorted":["cond-mat.stat-mech","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-03-03T01:11:20Z","title_canon_sha256":"e33ca72a4ba6bad4ef7c20f3e648a1daf6be611c5a471fb71006d9ec66bf9f24"},"schema_version":"1.0","source":{"id":"1903.00804","kind":"arxiv","version":3}},"canonical_sha256":"85bbf0d1e9a73f8349bfcd1dac89a129bdb7ec5e7bbcb393f5d56c03ee2d0c8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85bbf0d1e9a73f8349bfcd1dac89a129bdb7ec5e7bbcb393f5d56c03ee2d0c8d","first_computed_at":"2026-07-05T03:52:49.066775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:52:49.066775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PE+ksumGfBTC8KABq/zcOvzqzs4hJcQY6V4XASC+eIkRUACXTlM1WMdeEVSxvD6xrlBF9zaDOCzko9ZynxtYCg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:52:49.067264Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.00804","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf40a2932192e65f05e56badea80589bd481feec878ae6cb0fec4a4b0dcd9482","sha256:540fbad288b1afd80579a42ea14b3c61b678ef8ce01e9b4e6f746949dfcdccc4"],"state_sha256":"f77e8136d175d9953b8fbe150a21059a2b0647fd53f18ad259d81a0ae0c53d70"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OqIY5qrD7LQNhghjiPw+Nxq3INPHNUuSEYD9Ag2ax89y6Rhck8chO6IG5hw/FPmTXSpVUlUJomD2qdK+stI9Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T09:05:17.920893Z","bundle_sha256":"5e33e5df67bd7308cf9b17e46ca910c22eed00633546b9aa6b1d214d3a0de346"}}