{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ZDJJHZGQJKXBYLQ54CJWHUTJ6H","short_pith_number":"pith:ZDJJHZGQ","canonical_record":{"source":{"id":"1605.06366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-20T14:15:42Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7421d83d3cb30f6a0ca5abc509d49eaa3c24470ed6f5fac2430c59976f364ef3","abstract_canon_sha256":"61e09ea823d95ec73d1a72ed8f50283afc8fe758a1691c80d2292108484a4b08"},"schema_version":"1.0"},"canonical_sha256":"c8d293e4d04aae1c2e1de09363d269f1c2b1dbf315b817594cc744ca8a03be33","source":{"kind":"arxiv","id":"1605.06366","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06366","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06366v2","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06366","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"pith_short_12","alias_value":"ZDJJHZGQJKXB","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZDJJHZGQJKXBYLQ5","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZDJJHZGQ","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ZDJJHZGQJKXBYLQ54CJWHUTJ6H","target":"record","payload":{"canonical_record":{"source":{"id":"1605.06366","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-20T14:15:42Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"7421d83d3cb30f6a0ca5abc509d49eaa3c24470ed6f5fac2430c59976f364ef3","abstract_canon_sha256":"61e09ea823d95ec73d1a72ed8f50283afc8fe758a1691c80d2292108484a4b08"},"schema_version":"1.0"},"canonical_sha256":"c8d293e4d04aae1c2e1de09363d269f1c2b1dbf315b817594cc744ca8a03be33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:13.947679Z","signature_b64":"fahYcUhCpe25Th2J68vHxm+7vGQkSPyo9zWTl0bAZybIg8K53+vvlRpZAC4zqg9AfyBxEOxypWn+W1FajA/7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8d293e4d04aae1c2e1de09363d269f1c2b1dbf315b817594cc744ca8a03be33","last_reissued_at":"2026-05-18T00:31:13.947037Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:13.947037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.06366","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":"2026-05-18T00:31:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VcR9nTcFMJtK8KWW5wLX1uDJaL4s7niOm9uKLCEB3V+eFBood9s6l3ry+sDr21dfagUe/V6g2zU8aRZGt2HmCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T08:05:31.891545Z"},"content_sha256":"363a733a41642411021bea94e4f80543d11d6cb0a534af5800e21b6dae1de75a","schema_version":"1.0","event_id":"sha256:363a733a41642411021bea94e4f80543d11d6cb0a534af5800e21b6dae1de75a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ZDJJHZGQJKXBYLQ54CJWHUTJ6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Changes of Variables and the Renormalization Group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"Ariel Caticha","submitted_at":"2016-05-20T14:15:42Z","abstract_excerpt":"A class of exact infinitesimal renormalization group transformations is proposed and studied. These transformations are pure changes of variables (i.e., no integration or elimination of some degrees of freedom is required) such that a saddle point approximation is more accurate, becoming, in some cases asymptotically exact as the transformations are iterated. The formalism provides a simplified and unified approach to several known renormalization groups. It also suggests some new ways in which renormalization group methods might successfully be applied. In particular, an exact gauge covariant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06366","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":"2026-05-18T00:31:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WsjXqj0lupSERyFRlpKTPPk8WoYweEMQh2DdlrZCucA3PEHhrWEZkla8IIbCndt/wQjiOlo79FQXBsHCVcn8DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T08:05:31.891981Z"},"content_sha256":"8ad211ac9a58dc9b04264032221c5f7d543eec5396ead5d0f9249a386dd94d65","schema_version":"1.0","event_id":"sha256:8ad211ac9a58dc9b04264032221c5f7d543eec5396ead5d0f9249a386dd94d65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZDJJHZGQJKXBYLQ54CJWHUTJ6H/bundle.json","state_url":"https://pith.science/pith/ZDJJHZGQJKXBYLQ54CJWHUTJ6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZDJJHZGQJKXBYLQ54CJWHUTJ6H/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":"2026-05-25T08:05:31Z","links":{"resolver":"https://pith.science/pith/ZDJJHZGQJKXBYLQ54CJWHUTJ6H","bundle":"https://pith.science/pith/ZDJJHZGQJKXBYLQ54CJWHUTJ6H/bundle.json","state":"https://pith.science/pith/ZDJJHZGQJKXBYLQ54CJWHUTJ6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZDJJHZGQJKXBYLQ54CJWHUTJ6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZDJJHZGQJKXBYLQ54CJWHUTJ6H","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":"61e09ea823d95ec73d1a72ed8f50283afc8fe758a1691c80d2292108484a4b08","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-20T14:15:42Z","title_canon_sha256":"7421d83d3cb30f6a0ca5abc509d49eaa3c24470ed6f5fac2430c59976f364ef3"},"schema_version":"1.0","source":{"id":"1605.06366","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06366","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06366v2","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06366","created_at":"2026-05-18T00:31:13Z"},{"alias_kind":"pith_short_12","alias_value":"ZDJJHZGQJKXB","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"ZDJJHZGQJKXBYLQ5","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"ZDJJHZGQ","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:8ad211ac9a58dc9b04264032221c5f7d543eec5396ead5d0f9249a386dd94d65","target":"graph","created_at":"2026-05-18T00:31:13Z","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":"A class of exact infinitesimal renormalization group transformations is proposed and studied. These transformations are pure changes of variables (i.e., no integration or elimination of some degrees of freedom is required) such that a saddle point approximation is more accurate, becoming, in some cases asymptotically exact as the transformations are iterated. The formalism provides a simplified and unified approach to several known renormalization groups. It also suggests some new ways in which renormalization group methods might successfully be applied. In particular, an exact gauge covariant","authors_text":"Ariel Caticha","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-20T14:15:42Z","title":"Changes of Variables and the Renormalization Group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06366","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":"sha256:363a733a41642411021bea94e4f80543d11d6cb0a534af5800e21b6dae1de75a","target":"record","created_at":"2026-05-18T00:31:13Z","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":"61e09ea823d95ec73d1a72ed8f50283afc8fe758a1691c80d2292108484a4b08","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-05-20T14:15:42Z","title_canon_sha256":"7421d83d3cb30f6a0ca5abc509d49eaa3c24470ed6f5fac2430c59976f364ef3"},"schema_version":"1.0","source":{"id":"1605.06366","kind":"arxiv","version":2}},"canonical_sha256":"c8d293e4d04aae1c2e1de09363d269f1c2b1dbf315b817594cc744ca8a03be33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8d293e4d04aae1c2e1de09363d269f1c2b1dbf315b817594cc744ca8a03be33","first_computed_at":"2026-05-18T00:31:13.947037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:13.947037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fahYcUhCpe25Th2J68vHxm+7vGQkSPyo9zWTl0bAZybIg8K53+vvlRpZAC4zqg9AfyBxEOxypWn+W1FajA/7CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:13.947679Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.06366","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:363a733a41642411021bea94e4f80543d11d6cb0a534af5800e21b6dae1de75a","sha256:8ad211ac9a58dc9b04264032221c5f7d543eec5396ead5d0f9249a386dd94d65"],"state_sha256":"98484e9fdda02ba5af13e1fea2ba8d7fe8f10b09e2c10429936a0aecae8c1d90"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CHaGLaO7n+iZ43jqBRvd5NFCL0p0IGqWVeS5BNg8/qc+mtz0qGpMMcYHE25f1ywyMkenvoZ3NdJXmULbz9ypAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T08:05:31.894707Z","bundle_sha256":"941413b6426e3c8b31c2d274694f0fc38b7e55c2fdf954de00d12f4df9669751"}}