{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:H6AYTLRCG6W5MTAJ6ZMQKAHV6G","short_pith_number":"pith:H6AYTLRC","canonical_record":{"source":{"id":"hep-lat/9411053","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-11-25T12:21:22Z","cross_cats_sorted":["cond-mat","hep-th"],"title_canon_sha256":"a03aee751f6dab0a7475a14fbd22575baefd44447e79c609b6677ef975e9741c","abstract_canon_sha256":"e5d76d42d0d23aa02b5327db03a776a53bf067597d427ddf420ee23444aba06a"},"schema_version":"1.0"},"canonical_sha256":"3f8189ae2237add64c09f6590500f5f188dae1761766382492b301e400da0e50","source":{"kind":"arxiv","id":"hep-lat/9411053","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9411053","created_at":"2026-07-04T15:57:18Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9411053v1","created_at":"2026-07-04T15:57:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9411053","created_at":"2026-07-04T15:57:18Z"},{"alias_kind":"pith_short_12","alias_value":"H6AYTLRCG6W5","created_at":"2026-07-04T15:57:18Z"},{"alias_kind":"pith_short_16","alias_value":"H6AYTLRCG6W5MTAJ","created_at":"2026-07-04T15:57:18Z"},{"alias_kind":"pith_short_8","alias_value":"H6AYTLRC","created_at":"2026-07-04T15:57:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:H6AYTLRCG6W5MTAJ6ZMQKAHV6G","target":"record","payload":{"canonical_record":{"source":{"id":"hep-lat/9411053","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-lat","submitted_at":"1994-11-25T12:21:22Z","cross_cats_sorted":["cond-mat","hep-th"],"title_canon_sha256":"a03aee751f6dab0a7475a14fbd22575baefd44447e79c609b6677ef975e9741c","abstract_canon_sha256":"e5d76d42d0d23aa02b5327db03a776a53bf067597d427ddf420ee23444aba06a"},"schema_version":"1.0"},"canonical_sha256":"3f8189ae2237add64c09f6590500f5f188dae1761766382492b301e400da0e50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:57:18.529830Z","signature_b64":"ATu8BevAmO95lk/d6hRvJrmwzZDEl3GgrpFbnO6AFguG5USxnCYcwCUJm2LDeYPxkj6PzxMzr4aoJa6U4LHuCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f8189ae2237add64c09f6590500f5f188dae1761766382492b301e400da0e50","last_reissued_at":"2026-07-04T15:57:18.529483Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:57:18.529483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-lat/9411053","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:57:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dqh2VXjuggUdd2b3+ynUcr595RrtE1yEFEmGbyDkFm7BvuSo/gOQZmTju2CjH2D63oTba1QEEpnd+vu1q3asBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:37:40.731754Z"},"content_sha256":"842e42d7c5f752e5473741fbae6a591dcfdfde7ac60893c56225d8a2676868c8","schema_version":"1.0","event_id":"sha256:842e42d7c5f752e5473741fbae6a591dcfdfde7ac60893c56225d8a2676868c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:H6AYTLRCG6W5MTAJ6ZMQKAHV6G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The derivative expansion of the renormalization group","license":"","headline":"","cross_cats":["cond-mat","hep-th"],"primary_cat":"hep-lat","authors_text":"Tim R. Morris","submitted_at":"1994-11-25T12:21:22Z","abstract_excerpt":"By writing the flow equations for the continuum Legendre effective action (a.k.a. Helmholtz free energy) with respect to a particular form of smooth cutoff, and performing a derivative expansion up to some maximum order, a set of differential equations are obtained which at FPs (Fixed Points) reduce to non-linear eigenvalue equations for the anomalous scaling dimension $\\eta$. Illustrating this by expanding (single component) scalar field theory, in two, three and four dimensions, up to second order in derivatives, we show that the method is a powerful and robust means of discovering and quant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9411053","kind":"arxiv","version":1},"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/hep-lat/9411053/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":"2026-07-04T15:57:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QrTsdikk053pfDqXz2Vde8mVkD/RvkA6VIWfg9gwRlBI5JtxT4qdvs8lt3YSu8YhKwbdcBub5NnBMyQbSXkUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T21:37:40.732489Z"},"content_sha256":"1ed8d364294d80a04eb9b917edc084e63638235b1114709dd4046d35c9d52432","schema_version":"1.0","event_id":"sha256:1ed8d364294d80a04eb9b917edc084e63638235b1114709dd4046d35c9d52432"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H6AYTLRCG6W5MTAJ6ZMQKAHV6G/bundle.json","state_url":"https://pith.science/pith/H6AYTLRCG6W5MTAJ6ZMQKAHV6G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H6AYTLRCG6W5MTAJ6ZMQKAHV6G/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":"2026-08-04T21:37:40Z","links":{"resolver":"https://pith.science/pith/H6AYTLRCG6W5MTAJ6ZMQKAHV6G","bundle":"https://pith.science/pith/H6AYTLRCG6W5MTAJ6ZMQKAHV6G/bundle.json","state":"https://pith.science/pith/H6AYTLRCG6W5MTAJ6ZMQKAHV6G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H6AYTLRCG6W5MTAJ6ZMQKAHV6G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:H6AYTLRCG6W5MTAJ6ZMQKAHV6G","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":"e5d76d42d0d23aa02b5327db03a776a53bf067597d427ddf420ee23444aba06a","cross_cats_sorted":["cond-mat","hep-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1994-11-25T12:21:22Z","title_canon_sha256":"a03aee751f6dab0a7475a14fbd22575baefd44447e79c609b6677ef975e9741c"},"schema_version":"1.0","source":{"id":"hep-lat/9411053","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-lat/9411053","created_at":"2026-07-04T15:57:18Z"},{"alias_kind":"arxiv_version","alias_value":"hep-lat/9411053v1","created_at":"2026-07-04T15:57:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-lat/9411053","created_at":"2026-07-04T15:57:18Z"},{"alias_kind":"pith_short_12","alias_value":"H6AYTLRCG6W5","created_at":"2026-07-04T15:57:18Z"},{"alias_kind":"pith_short_16","alias_value":"H6AYTLRCG6W5MTAJ","created_at":"2026-07-04T15:57:18Z"},{"alias_kind":"pith_short_8","alias_value":"H6AYTLRC","created_at":"2026-07-04T15:57:18Z"}],"graph_snapshots":[{"event_id":"sha256:1ed8d364294d80a04eb9b917edc084e63638235b1114709dd4046d35c9d52432","target":"graph","created_at":"2026-07-04T15:57:18Z","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/hep-lat/9411053/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By writing the flow equations for the continuum Legendre effective action (a.k.a. Helmholtz free energy) with respect to a particular form of smooth cutoff, and performing a derivative expansion up to some maximum order, a set of differential equations are obtained which at FPs (Fixed Points) reduce to non-linear eigenvalue equations for the anomalous scaling dimension $\\eta$. Illustrating this by expanding (single component) scalar field theory, in two, three and four dimensions, up to second order in derivatives, we show that the method is a powerful and robust means of discovering and quant","authors_text":"Tim R. Morris","cross_cats":["cond-mat","hep-th"],"headline":"","license":"","primary_cat":"hep-lat","submitted_at":"1994-11-25T12:21:22Z","title":"The derivative expansion of the renormalization group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9411053","kind":"arxiv","version":1},"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":"sha256:842e42d7c5f752e5473741fbae6a591dcfdfde7ac60893c56225d8a2676868c8","target":"record","created_at":"2026-07-04T15:57:18Z","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":"e5d76d42d0d23aa02b5327db03a776a53bf067597d427ddf420ee23444aba06a","cross_cats_sorted":["cond-mat","hep-th"],"license":"","primary_cat":"hep-lat","submitted_at":"1994-11-25T12:21:22Z","title_canon_sha256":"a03aee751f6dab0a7475a14fbd22575baefd44447e79c609b6677ef975e9741c"},"schema_version":"1.0","source":{"id":"hep-lat/9411053","kind":"arxiv","version":1}},"canonical_sha256":"3f8189ae2237add64c09f6590500f5f188dae1761766382492b301e400da0e50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f8189ae2237add64c09f6590500f5f188dae1761766382492b301e400da0e50","first_computed_at":"2026-07-04T15:57:18.529483Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:57:18.529483Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ATu8BevAmO95lk/d6hRvJrmwzZDEl3GgrpFbnO6AFguG5USxnCYcwCUJm2LDeYPxkj6PzxMzr4aoJa6U4LHuCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:57:18.529830Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-lat/9411053","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:842e42d7c5f752e5473741fbae6a591dcfdfde7ac60893c56225d8a2676868c8","sha256:1ed8d364294d80a04eb9b917edc084e63638235b1114709dd4046d35c9d52432"],"state_sha256":"cedc548050cf62263732e0696171fa08ccbf9f955ce3e286c3bacbf04c42a62b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"onAYagzzv9vs/3dpFHqQz8/mnw/8RtKm8ZLmR/8P+p8XFIGCRrBcyGL9C4xdB+Y/aR4JgEnC+S1uZahaxfo9Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T21:37:40.739874Z","bundle_sha256":"fd15ef22f087147a58523cabb7c2ff07f1694a9947199f8106a731217b09f4f7"}}