{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:W2MJF7SM7KP23DYASGRLYEFJH3","short_pith_number":"pith:W2MJF7SM","canonical_record":{"source":{"id":"1208.5021","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-24T17:59:14Z","cross_cats_sorted":[],"title_canon_sha256":"41a7ae3528a49fceb3452e4f2b3bfd81d63d3f4de986fa9f9e5f7535f96e7059","abstract_canon_sha256":"8d57d0a08d9e14bb331e9f457a28a7e22c85fc2b6e9c1935e29a1e41b2e5600d"},"schema_version":"1.0"},"canonical_sha256":"b69892fe4cfa9fad8f0091a2bc10a93eef033d9d40e293b682982993f93f0bc2","source":{"kind":"arxiv","id":"1208.5021","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.5021","created_at":"2026-05-18T03:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1208.5021v4","created_at":"2026-05-18T03:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5021","created_at":"2026-05-18T03:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"W2MJF7SM7KP2","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"W2MJF7SM7KP23DYA","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"W2MJF7SM","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:W2MJF7SM7KP23DYASGRLYEFJH3","target":"record","payload":{"canonical_record":{"source":{"id":"1208.5021","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-24T17:59:14Z","cross_cats_sorted":[],"title_canon_sha256":"41a7ae3528a49fceb3452e4f2b3bfd81d63d3f4de986fa9f9e5f7535f96e7059","abstract_canon_sha256":"8d57d0a08d9e14bb331e9f457a28a7e22c85fc2b6e9c1935e29a1e41b2e5600d"},"schema_version":"1.0"},"canonical_sha256":"b69892fe4cfa9fad8f0091a2bc10a93eef033d9d40e293b682982993f93f0bc2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:52.875805Z","signature_b64":"V008ZxaTzrNM1zfODzSM+0jvu4VVOtPz+r9VEGVPi4b2SnAC/PJjE4i6ndz5dSLEk1qcS08h4ecnIpwPeiR9AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b69892fe4cfa9fad8f0091a2bc10a93eef033d9d40e293b682982993f93f0bc2","last_reissued_at":"2026-05-18T03:26:52.875262Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:52.875262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.5021","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LPDF+8WhMnbPSH2N9fLE3K6ALZjuvBDpfeJLlFa6TxvokfcHCu1WItGldPo2LegcWWbgmrwD8hjIupie+jJQBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:53:45.392666Z"},"content_sha256":"9dd0b832e6e4e47a9c6ff139fc94558ac4b8a804545575ecd2a98ae8025848b6","schema_version":"1.0","event_id":"sha256:9dd0b832e6e4e47a9c6ff139fc94558ac4b8a804545575ecd2a98ae8025848b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:W2MJF7SM7KP23DYASGRLYEFJH3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Functional renormalization group with a compactly supported smooth regulator function","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"I. Nandori","submitted_at":"2012-08-24T17:59:14Z","abstract_excerpt":"The functional renormalization group equation with a compactly supported smooth (CSS) regulator function is considered. It is demonstrated that in an appropriate limit the CSS regulator recovers the optimized one and it has derivatives of all orders. The more generalized form of the CSS regulator is shown to reduce to all major type of regulator functions (exponential, power-law) in appropriate limits. The CSS regulator function is tested by studying the critical behavior of the bosonized two-dimensional quantum electrodynamics in the local potential approximation and the sine-Gordon scalar th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5021","kind":"arxiv","version":4},"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":"2026-05-18T03:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Io9V1X80EsT5pziTdNqkT4zuP6gMgpNtez0Txox5sEkCnySoODqQCJshwgcFf61YkuEHW2bnBGy5neejIlivCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:53:45.393304Z"},"content_sha256":"5034352d2b0baa94ddecd59766fda0fce200fd3f3a5509711c15f9ee845c3764","schema_version":"1.0","event_id":"sha256:5034352d2b0baa94ddecd59766fda0fce200fd3f3a5509711c15f9ee845c3764"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W2MJF7SM7KP23DYASGRLYEFJH3/bundle.json","state_url":"https://pith.science/pith/W2MJF7SM7KP23DYASGRLYEFJH3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W2MJF7SM7KP23DYASGRLYEFJH3/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":"2026-06-06T16:53:45Z","links":{"resolver":"https://pith.science/pith/W2MJF7SM7KP23DYASGRLYEFJH3","bundle":"https://pith.science/pith/W2MJF7SM7KP23DYASGRLYEFJH3/bundle.json","state":"https://pith.science/pith/W2MJF7SM7KP23DYASGRLYEFJH3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W2MJF7SM7KP23DYASGRLYEFJH3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:W2MJF7SM7KP23DYASGRLYEFJH3","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":"8d57d0a08d9e14bb331e9f457a28a7e22c85fc2b6e9c1935e29a1e41b2e5600d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-24T17:59:14Z","title_canon_sha256":"41a7ae3528a49fceb3452e4f2b3bfd81d63d3f4de986fa9f9e5f7535f96e7059"},"schema_version":"1.0","source":{"id":"1208.5021","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.5021","created_at":"2026-05-18T03:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1208.5021v4","created_at":"2026-05-18T03:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5021","created_at":"2026-05-18T03:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"W2MJF7SM7KP2","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"W2MJF7SM7KP23DYA","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"W2MJF7SM","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:5034352d2b0baa94ddecd59766fda0fce200fd3f3a5509711c15f9ee845c3764","target":"graph","created_at":"2026-05-18T03:26:52Z","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":"The functional renormalization group equation with a compactly supported smooth (CSS) regulator function is considered. It is demonstrated that in an appropriate limit the CSS regulator recovers the optimized one and it has derivatives of all orders. The more generalized form of the CSS regulator is shown to reduce to all major type of regulator functions (exponential, power-law) in appropriate limits. The CSS regulator function is tested by studying the critical behavior of the bosonized two-dimensional quantum electrodynamics in the local potential approximation and the sine-Gordon scalar th","authors_text":"I. Nandori","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-24T17:59:14Z","title":"Functional renormalization group with a compactly supported smooth regulator function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5021","kind":"arxiv","version":4},"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":"sha256:9dd0b832e6e4e47a9c6ff139fc94558ac4b8a804545575ecd2a98ae8025848b6","target":"record","created_at":"2026-05-18T03:26:52Z","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":"8d57d0a08d9e14bb331e9f457a28a7e22c85fc2b6e9c1935e29a1e41b2e5600d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-08-24T17:59:14Z","title_canon_sha256":"41a7ae3528a49fceb3452e4f2b3bfd81d63d3f4de986fa9f9e5f7535f96e7059"},"schema_version":"1.0","source":{"id":"1208.5021","kind":"arxiv","version":4}},"canonical_sha256":"b69892fe4cfa9fad8f0091a2bc10a93eef033d9d40e293b682982993f93f0bc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b69892fe4cfa9fad8f0091a2bc10a93eef033d9d40e293b682982993f93f0bc2","first_computed_at":"2026-05-18T03:26:52.875262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:52.875262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V008ZxaTzrNM1zfODzSM+0jvu4VVOtPz+r9VEGVPi4b2SnAC/PJjE4i6ndz5dSLEk1qcS08h4ecnIpwPeiR9AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:52.875805Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.5021","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9dd0b832e6e4e47a9c6ff139fc94558ac4b8a804545575ecd2a98ae8025848b6","sha256:5034352d2b0baa94ddecd59766fda0fce200fd3f3a5509711c15f9ee845c3764"],"state_sha256":"fd56c3909a269f1554f350752c420fb89a98d16bbf87e531bcd09b4052e89b58"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UWcdpYISU1HanKOjtC1IARyTGYlwpA3D6Ist+S0KqJ6Q5bbKMRhIiNrzmO9eAxJ7/K8x+Jaa9VN571tRNnRdDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:53:45.396589Z","bundle_sha256":"7649918a01d6e53aeeb2d10863422796dd16df809b149c0bc8dd1218bd799198"}}