{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QSHUN5JAXCEFQWT4YPZW2HPJZY","short_pith_number":"pith:QSHUN5JA","canonical_record":{"source":{"id":"1009.1948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-10T07:36:18Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ae12384cc0131e5729106f392af8b1af93765600045679c26b8d28e58fe70fa8","abstract_canon_sha256":"bf7e21bafcf26153cd0d44aa1a3d2498fc36c88fa47174b746c4bbe1f1897a09"},"schema_version":"1.0"},"canonical_sha256":"848f46f520b888585a7cc3f36d1de9ce368836bf526961a7219dd49436d35923","source":{"kind":"arxiv","id":"1009.1948","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1948","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1948v1","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1948","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"QSHUN5JAXCEF","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QSHUN5JAXCEFQWT4","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QSHUN5JA","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QSHUN5JAXCEFQWT4YPZW2HPJZY","target":"record","payload":{"canonical_record":{"source":{"id":"1009.1948","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-10T07:36:18Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"ae12384cc0131e5729106f392af8b1af93765600045679c26b8d28e58fe70fa8","abstract_canon_sha256":"bf7e21bafcf26153cd0d44aa1a3d2498fc36c88fa47174b746c4bbe1f1897a09"},"schema_version":"1.0"},"canonical_sha256":"848f46f520b888585a7cc3f36d1de9ce368836bf526961a7219dd49436d35923","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:46.189060Z","signature_b64":"y3q+//cfGz4Pm/iP83i1yxn5KNAGldOX/FO41/gpM84++SonJ+E5KzlGHK9bqjcEU3hUDAizvHqEoQkWQ+b2Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"848f46f520b888585a7cc3f36d1de9ce368836bf526961a7219dd49436d35923","last_reissued_at":"2026-05-18T04:23:46.188333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:46.188333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.1948","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":"2026-05-18T04:23:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/S4fr39IEYkh626iHqtN0gS35cdqjUe/w48VXmUVVbbXkp0j+dEZpMYcYZpFYNbzKT2wR2Kk4k8uAzKAq5bzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:24:30.298048Z"},"content_sha256":"9466ed4815b21a0babf5b60fff3eea5811cf99f86252cb969c700a444b98c964","schema_version":"1.0","event_id":"sha256:9466ed4815b21a0babf5b60fff3eea5811cf99f86252cb969c700a444b98c964"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QSHUN5JAXCEFQWT4YPZW2HPJZY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ising exponents from the functional renormalisation group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"hep-th","authors_text":"Daniel F. Litim, Dario Zappal\\'a","submitted_at":"2010-09-10T07:36:18Z","abstract_excerpt":"We study the 3d Ising universality class using the functional renormalisation group. With the help of background fields and a derivative expansion up to fourth order we compute the leading index, the subleading symmetric and anti-symmetric corrections to scaling, the anomalous dimension, the scaling solution, and the eigenperturbations at criticality. We also study the cross-correlations of scaling exponents, and their dependence on dimensionality. We find a very good numerical convergence of the derivative expansion, also in comparison with earlier findings. Evaluating the data from all funct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1948","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":""},"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":"2026-05-18T04:23:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dRGHjSnOrctj+PvUV1h6O3wKr/koGA0FJCUJLIRB7Klj32eiJaorXW9MIBUixgpcfnTD+BL7du98/C0Kv8YvCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:24:30.298411Z"},"content_sha256":"d58b9d264aa50fb5f76ba67b7279162b949db837b20273b9da15e0ea34d0f278","schema_version":"1.0","event_id":"sha256:d58b9d264aa50fb5f76ba67b7279162b949db837b20273b9da15e0ea34d0f278"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QSHUN5JAXCEFQWT4YPZW2HPJZY/bundle.json","state_url":"https://pith.science/pith/QSHUN5JAXCEFQWT4YPZW2HPJZY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QSHUN5JAXCEFQWT4YPZW2HPJZY/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":"2026-05-28T10:24:30Z","links":{"resolver":"https://pith.science/pith/QSHUN5JAXCEFQWT4YPZW2HPJZY","bundle":"https://pith.science/pith/QSHUN5JAXCEFQWT4YPZW2HPJZY/bundle.json","state":"https://pith.science/pith/QSHUN5JAXCEFQWT4YPZW2HPJZY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QSHUN5JAXCEFQWT4YPZW2HPJZY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QSHUN5JAXCEFQWT4YPZW2HPJZY","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":"bf7e21bafcf26153cd0d44aa1a3d2498fc36c88fa47174b746c4bbe1f1897a09","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-10T07:36:18Z","title_canon_sha256":"ae12384cc0131e5729106f392af8b1af93765600045679c26b8d28e58fe70fa8"},"schema_version":"1.0","source":{"id":"1009.1948","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1948","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1948v1","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1948","created_at":"2026-05-18T04:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"QSHUN5JAXCEF","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QSHUN5JAXCEFQWT4","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QSHUN5JA","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:d58b9d264aa50fb5f76ba67b7279162b949db837b20273b9da15e0ea34d0f278","target":"graph","created_at":"2026-05-18T04:23:46Z","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":"We study the 3d Ising universality class using the functional renormalisation group. With the help of background fields and a derivative expansion up to fourth order we compute the leading index, the subleading symmetric and anti-symmetric corrections to scaling, the anomalous dimension, the scaling solution, and the eigenperturbations at criticality. We also study the cross-correlations of scaling exponents, and their dependence on dimensionality. We find a very good numerical convergence of the derivative expansion, also in comparison with earlier findings. Evaluating the data from all funct","authors_text":"Daniel F. Litim, Dario Zappal\\'a","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-10T07:36:18Z","title":"Ising exponents from the functional renormalisation group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1948","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":"sha256:9466ed4815b21a0babf5b60fff3eea5811cf99f86252cb969c700a444b98c964","target":"record","created_at":"2026-05-18T04:23:46Z","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":"bf7e21bafcf26153cd0d44aa1a3d2498fc36c88fa47174b746c4bbe1f1897a09","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-09-10T07:36:18Z","title_canon_sha256":"ae12384cc0131e5729106f392af8b1af93765600045679c26b8d28e58fe70fa8"},"schema_version":"1.0","source":{"id":"1009.1948","kind":"arxiv","version":1}},"canonical_sha256":"848f46f520b888585a7cc3f36d1de9ce368836bf526961a7219dd49436d35923","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"848f46f520b888585a7cc3f36d1de9ce368836bf526961a7219dd49436d35923","first_computed_at":"2026-05-18T04:23:46.188333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:46.188333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y3q+//cfGz4Pm/iP83i1yxn5KNAGldOX/FO41/gpM84++SonJ+E5KzlGHK9bqjcEU3hUDAizvHqEoQkWQ+b2Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:46.189060Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1948","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9466ed4815b21a0babf5b60fff3eea5811cf99f86252cb969c700a444b98c964","sha256:d58b9d264aa50fb5f76ba67b7279162b949db837b20273b9da15e0ea34d0f278"],"state_sha256":"8a3fc8eafb5c8fd6accbf1b2bf2d3874dc485dd855b1d33ac878063b876d093d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JzYVuIliJpuuWB0ls3M0+PA1IBnMu81M2LUMgUgElQCKwy8/BSF8phb6Xf6OsKlWG2SWln3LS/78XFQZjyAvDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:24:30.300348Z","bundle_sha256":"39b35bcd4e03f5fff68d8affd0fbf7d84239ce2af23a2f89d3ea40f3d1c87ace"}}