{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:EN5IOBQLXWXTPOOT6NITTLP3S3","short_pith_number":"pith:EN5IOBQL","schema_version":"1.0","canonical_sha256":"237a87060bbdaf37b9d3f35139adfb96c19d0829061561a0cfbc5e6418e7942e","source":{"kind":"arxiv","id":"1410.6809","version":2},"attestation_state":"computed","paper":{"title":"Relative Entropy and Proximity of Quantum Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"hep-th","authors_text":"Alexander Maloney, Jonathan J. Heckman, Vijay Balasubramanian","submitted_at":"2014-10-24T20:00:05Z","abstract_excerpt":"We study the question of how reliably one can distinguish two quantum field theories (QFTs). Each QFT defines a probability distribution on the space of fields. The relative entropy provides a notion of proximity between these distributions and quantifies the number of measurements required to distinguish between them. In the case of nearby conformal field theories, this reduces to the Zamolodchikov metric on the space of couplings. Our formulation quantifies the information lost under renormalization group flow from the UV to the IR and leads us to a quantification of fine-tuning. This formal"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1410.6809","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-10-24T20:00:05Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"94478a8044a8ac2f4c20d89e2a541aa9c7d4c507e822927094045833910cb187","abstract_canon_sha256":"e25f4041cd2cd83d5ac5f88a53c52c846c4a6b2a7f4ec4de059b725e46dcdec4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:48.926938Z","signature_b64":"CPIymr1mQv5PAPsHboOX9LLvmdDrArB5HYkhNb+JKcLpkHvszhAfv8bxWtunAKXVG2yGVmR3tRefOqBXcUFODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"237a87060bbdaf37b9d3f35139adfb96c19d0829061561a0cfbc5e6418e7942e","last_reissued_at":"2026-05-18T02:16:48.926150Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:48.926150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Relative Entropy and Proximity of Quantum Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"hep-th","authors_text":"Alexander Maloney, Jonathan J. Heckman, Vijay Balasubramanian","submitted_at":"2014-10-24T20:00:05Z","abstract_excerpt":"We study the question of how reliably one can distinguish two quantum field theories (QFTs). Each QFT defines a probability distribution on the space of fields. The relative entropy provides a notion of proximity between these distributions and quantifies the number of measurements required to distinguish between them. In the case of nearby conformal field theories, this reduces to the Zamolodchikov metric on the space of couplings. Our formulation quantifies the information lost under renormalization group flow from the UV to the IR and leads us to a quantification of fine-tuning. This formal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6809","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1410.6809","created_at":"2026-05-18T02:16:48.926291+00:00"},{"alias_kind":"arxiv_version","alias_value":"1410.6809v2","created_at":"2026-05-18T02:16:48.926291+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6809","created_at":"2026-05-18T02:16:48.926291+00:00"},{"alias_kind":"pith_short_12","alias_value":"EN5IOBQLXWXT","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"EN5IOBQLXWXTPOOT","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"EN5IOBQL","created_at":"2026-05-18T12:28:28.263976+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2603.01411","citing_title":"Naturalness and Fisher Information","ref_index":29,"is_internal_anchor":true},{"citing_arxiv_id":"2604.24843","citing_title":"Optimal paths across potentials on scalar field space","ref_index":50,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EN5IOBQLXWXTPOOT6NITTLP3S3","json":"https://pith.science/pith/EN5IOBQLXWXTPOOT6NITTLP3S3.json","graph_json":"https://pith.science/api/pith-number/EN5IOBQLXWXTPOOT6NITTLP3S3/graph.json","events_json":"https://pith.science/api/pith-number/EN5IOBQLXWXTPOOT6NITTLP3S3/events.json","paper":"https://pith.science/paper/EN5IOBQL"},"agent_actions":{"view_html":"https://pith.science/pith/EN5IOBQLXWXTPOOT6NITTLP3S3","download_json":"https://pith.science/pith/EN5IOBQLXWXTPOOT6NITTLP3S3.json","view_paper":"https://pith.science/paper/EN5IOBQL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1410.6809&json=true","fetch_graph":"https://pith.science/api/pith-number/EN5IOBQLXWXTPOOT6NITTLP3S3/graph.json","fetch_events":"https://pith.science/api/pith-number/EN5IOBQLXWXTPOOT6NITTLP3S3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EN5IOBQLXWXTPOOT6NITTLP3S3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EN5IOBQLXWXTPOOT6NITTLP3S3/action/storage_attestation","attest_author":"https://pith.science/pith/EN5IOBQLXWXTPOOT6NITTLP3S3/action/author_attestation","sign_citation":"https://pith.science/pith/EN5IOBQLXWXTPOOT6NITTLP3S3/action/citation_signature","submit_replication":"https://pith.science/pith/EN5IOBQLXWXTPOOT6NITTLP3S3/action/replication_record"}},"created_at":"2026-05-18T02:16:48.926291+00:00","updated_at":"2026-05-18T02:16:48.926291+00:00"}