{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:LXGL25XSBKIUFRHLAL3QJSXEGU","short_pith_number":"pith:LXGL25XS","canonical_record":{"source":{"id":"hep-th/0006064","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-06-09T01:10:52Z","cross_cats_sorted":["cond-mat","hep-lat","hep-ph"],"title_canon_sha256":"59a191d25e7a528a0c6120fbcaa2fa1d169eec815e2427222129804543cc96cf","abstract_canon_sha256":"78c00815e0f8dc5ea94754bc69e890aa2b066b34bdbebd72fd72aa4f7d1fe29a"},"schema_version":"1.0"},"canonical_sha256":"5dccbd76f20a9142c4eb02f704cae4350266d8e914d6532d4cabddc8a8ada26e","source":{"kind":"arxiv","id":"hep-th/0006064","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0006064","created_at":"2026-07-04T17:17:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0006064v2","created_at":"2026-07-04T17:17:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0006064","created_at":"2026-07-04T17:17:32Z"},{"alias_kind":"pith_short_12","alias_value":"LXGL25XSBKIU","created_at":"2026-07-04T17:17:32Z"},{"alias_kind":"pith_short_16","alias_value":"LXGL25XSBKIUFRHL","created_at":"2026-07-04T17:17:32Z"},{"alias_kind":"pith_short_8","alias_value":"LXGL25XS","created_at":"2026-07-04T17:17:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:LXGL25XSBKIUFRHLAL3QJSXEGU","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0006064","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-06-09T01:10:52Z","cross_cats_sorted":["cond-mat","hep-lat","hep-ph"],"title_canon_sha256":"59a191d25e7a528a0c6120fbcaa2fa1d169eec815e2427222129804543cc96cf","abstract_canon_sha256":"78c00815e0f8dc5ea94754bc69e890aa2b066b34bdbebd72fd72aa4f7d1fe29a"},"schema_version":"1.0"},"canonical_sha256":"5dccbd76f20a9142c4eb02f704cae4350266d8e914d6532d4cabddc8a8ada26e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:17:32.227784Z","signature_b64":"Kr38BSnpod+PGwKuMr0NRwkFfs23IhF/DVAdKS5x0rjTw1gELf6bxvVQxA0KiAJ+/t1g2IzDWxpZW/eHhrGlDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dccbd76f20a9142c4eb02f704cae4350266d8e914d6532d4cabddc8a8ada26e","last_reissued_at":"2026-07-04T17:17:32.227390Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:17:32.227390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0006064","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":"2026-07-04T17:17:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qbEgdCpLKIGXKaeqS23GiDowakFe74eZO6vZQ36147KPLUHWVryI9Bk9TW/lSUUo4ylTB/o3Uke3+O9woak6Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T09:09:52.434373Z"},"content_sha256":"9226493c335221dfcb554d100992cac4c2ac834c935e4218cecd008a04f8fe71","schema_version":"1.0","event_id":"sha256:9226493c335221dfcb554d100992cac4c2ac834c935e4218cecd008a04f8fe71"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:LXGL25XSBKIUFRHLAL3QJSXEGU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A gauge invariant exact renormalization group II","license":"","headline":"","cross_cats":["cond-mat","hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Tim R. Morris","submitted_at":"2000-06-09T01:10:52Z","abstract_excerpt":"A manifestly gauge invariant and regularized renormalization group flow equation is constructed for pure SU(N) gauge theory in the large N limit. In this way we make precise and concrete the notion of a non-perturbative gauge invariant continuum Wilsonian effective action. Manifestly gauge invariant calculations may be performed, without gauge fixing, and receive a natural interpretation in terms of fluctuating Wilson loops. Regularization is achieved by covariant higher derivatives and by embedding in a spontaneously broken SU(N|N) supergauge theory; the resulting heavy fermionic vectors are "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0006064","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0006064/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":"2026-07-04T17:17:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RUkgs77cQXqUCX6oeSck0gnTm14ixoZdaO9tHMWJjdX2Un8xSQiu6z1kXxGNUYVeegPCsl6BPG4rlDoNC1LtDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T09:09:52.435414Z"},"content_sha256":"768412c5f966b78e484ad4c5ea2db4e267f706fb36da2e80719a58c902cd1040","schema_version":"1.0","event_id":"sha256:768412c5f966b78e484ad4c5ea2db4e267f706fb36da2e80719a58c902cd1040"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXGL25XSBKIUFRHLAL3QJSXEGU/bundle.json","state_url":"https://pith.science/pith/LXGL25XSBKIUFRHLAL3QJSXEGU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXGL25XSBKIUFRHLAL3QJSXEGU/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":"2026-08-04T09:09:52Z","links":{"resolver":"https://pith.science/pith/LXGL25XSBKIUFRHLAL3QJSXEGU","bundle":"https://pith.science/pith/LXGL25XSBKIUFRHLAL3QJSXEGU/bundle.json","state":"https://pith.science/pith/LXGL25XSBKIUFRHLAL3QJSXEGU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXGL25XSBKIUFRHLAL3QJSXEGU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:LXGL25XSBKIUFRHLAL3QJSXEGU","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":"78c00815e0f8dc5ea94754bc69e890aa2b066b34bdbebd72fd72aa4f7d1fe29a","cross_cats_sorted":["cond-mat","hep-lat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2000-06-09T01:10:52Z","title_canon_sha256":"59a191d25e7a528a0c6120fbcaa2fa1d169eec815e2427222129804543cc96cf"},"schema_version":"1.0","source":{"id":"hep-th/0006064","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0006064","created_at":"2026-07-04T17:17:32Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0006064v2","created_at":"2026-07-04T17:17:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0006064","created_at":"2026-07-04T17:17:32Z"},{"alias_kind":"pith_short_12","alias_value":"LXGL25XSBKIU","created_at":"2026-07-04T17:17:32Z"},{"alias_kind":"pith_short_16","alias_value":"LXGL25XSBKIUFRHL","created_at":"2026-07-04T17:17:32Z"},{"alias_kind":"pith_short_8","alias_value":"LXGL25XS","created_at":"2026-07-04T17:17:32Z"}],"graph_snapshots":[{"event_id":"sha256:768412c5f966b78e484ad4c5ea2db4e267f706fb36da2e80719a58c902cd1040","target":"graph","created_at":"2026-07-04T17:17:32Z","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-th/0006064/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A manifestly gauge invariant and regularized renormalization group flow equation is constructed for pure SU(N) gauge theory in the large N limit. In this way we make precise and concrete the notion of a non-perturbative gauge invariant continuum Wilsonian effective action. Manifestly gauge invariant calculations may be performed, without gauge fixing, and receive a natural interpretation in terms of fluctuating Wilson loops. Regularization is achieved by covariant higher derivatives and by embedding in a spontaneously broken SU(N|N) supergauge theory; the resulting heavy fermionic vectors are ","authors_text":"Tim R. Morris","cross_cats":["cond-mat","hep-lat","hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-06-09T01:10:52Z","title":"A gauge invariant exact renormalization group II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0006064","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":"sha256:9226493c335221dfcb554d100992cac4c2ac834c935e4218cecd008a04f8fe71","target":"record","created_at":"2026-07-04T17:17:32Z","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":"78c00815e0f8dc5ea94754bc69e890aa2b066b34bdbebd72fd72aa4f7d1fe29a","cross_cats_sorted":["cond-mat","hep-lat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2000-06-09T01:10:52Z","title_canon_sha256":"59a191d25e7a528a0c6120fbcaa2fa1d169eec815e2427222129804543cc96cf"},"schema_version":"1.0","source":{"id":"hep-th/0006064","kind":"arxiv","version":2}},"canonical_sha256":"5dccbd76f20a9142c4eb02f704cae4350266d8e914d6532d4cabddc8a8ada26e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dccbd76f20a9142c4eb02f704cae4350266d8e914d6532d4cabddc8a8ada26e","first_computed_at":"2026-07-04T17:17:32.227390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:17:32.227390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kr38BSnpod+PGwKuMr0NRwkFfs23IhF/DVAdKS5x0rjTw1gELf6bxvVQxA0KiAJ+/t1g2IzDWxpZW/eHhrGlDg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:17:32.227784Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0006064","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9226493c335221dfcb554d100992cac4c2ac834c935e4218cecd008a04f8fe71","sha256:768412c5f966b78e484ad4c5ea2db4e267f706fb36da2e80719a58c902cd1040"],"state_sha256":"f8460c0c222b11fcc44f421057b8d4bb015893853e66406f762597160eafd751"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q0r/fBM1dHI0NO37z2Utfs6SjGxWuJ7uHdkpLVdGv+djCGu+Iz2dLmNVaCTQZ0IMF6FIKPtI7vewjAPkrGMoBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T09:09:52.441750Z","bundle_sha256":"ef5877f70aa6415a36849c2341945f8f5870262078086b53d88ef698327313ac"}}