{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:R6BZTRVRRWDP6LDATDTNTAQKSN","short_pith_number":"pith:R6BZTRVR","canonical_record":{"source":{"id":"1310.6076","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-22T22:47:08Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"6d46a598d501697a30d3cbfe75d08344df303632234e3d3130e62750fd71cae9","abstract_canon_sha256":"f5a573cdd4db11849ac8dc3e0f7c6700d3e82452105e35b3c0d16938316d2e16"},"schema_version":"1.0"},"canonical_sha256":"8f8399c6b18d86ff2c6098e6d9820a93672c231df2ec134dc9d21f0108246db2","source":{"kind":"arxiv","id":"1310.6076","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.6076","created_at":"2026-05-18T03:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"1310.6076v2","created_at":"2026-05-18T03:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.6076","created_at":"2026-05-18T03:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"R6BZTRVRRWDP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"R6BZTRVRRWDP6LDA","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"R6BZTRVR","created_at":"2026-05-18T12:27:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:R6BZTRVRRWDP6LDATDTNTAQKSN","target":"record","payload":{"canonical_record":{"source":{"id":"1310.6076","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-22T22:47:08Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"6d46a598d501697a30d3cbfe75d08344df303632234e3d3130e62750fd71cae9","abstract_canon_sha256":"f5a573cdd4db11849ac8dc3e0f7c6700d3e82452105e35b3c0d16938316d2e16"},"schema_version":"1.0"},"canonical_sha256":"8f8399c6b18d86ff2c6098e6d9820a93672c231df2ec134dc9d21f0108246db2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:06:44.171774Z","signature_b64":"e7FXLx3VoOeFOye/6j2D4YknyF/SiAzZDo+QxP6t3Md5yvcADiHZJonlOCubm3i4PsboO6KjsIeb5EXhPP3CAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f8399c6b18d86ff2c6098e6d9820a93672c231df2ec134dc9d21f0108246db2","last_reissued_at":"2026-05-18T03:06:44.171147Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:06:44.171147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.6076","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":"2026-05-18T03:06:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4uTX5q0RPliLW0nANArAHSRANe3fitSaZSWPW52tSXAB62AXjfOwVz78vLoHKYAPGYrvkz2SdtpQ20HcCBmgAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:31:16.434586Z"},"content_sha256":"9d8cd942287dbdb625cf9bda8780f6eabe6bc80b26215566e5683d2b08211be2","schema_version":"1.0","event_id":"sha256:9d8cd942287dbdb625cf9bda8780f6eabe6bc80b26215566e5683d2b08211be2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:R6BZTRVRRWDP6LDATDTNTAQKSN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Ultraviolet to Infrared Evolution of Chiral Gauge Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Robert Shrock, Thomas Appelquist","submitted_at":"2013-10-22T22:47:08Z","abstract_excerpt":"We discuss the ultraviolet (UV) to infrared (IR) evolution of asymptotically free chiral gauge theories. Various types of IR behavior are considered, including confinement without spontaneous chiral symmetry breaking, and formation of bilinear fermion condensates that preserve or dynamically break the chiral gauge invariance. We compare different schemes for the study of this evolution and the resultant IR structure of the theories, including a conjectured inequality based on the counting of degrees of freedom. We note some new patterns of UV to IR evolution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.6076","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":"2026-05-18T03:06:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MF+1tkq/Vt1ly02cMLCUD/nqbWjUBT4OH8xglZ/HuoJSp0wijJomnKbQwrDiZjg35RoLfJytg3O0z2JwyIpADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T19:31:16.434928Z"},"content_sha256":"98513e914094b628207345ac8144db47ad7983debb83af038dcd0c8ba795f073","schema_version":"1.0","event_id":"sha256:98513e914094b628207345ac8144db47ad7983debb83af038dcd0c8ba795f073"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R6BZTRVRRWDP6LDATDTNTAQKSN/bundle.json","state_url":"https://pith.science/pith/R6BZTRVRRWDP6LDATDTNTAQKSN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R6BZTRVRRWDP6LDATDTNTAQKSN/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":"2026-07-04T19:31:16Z","links":{"resolver":"https://pith.science/pith/R6BZTRVRRWDP6LDATDTNTAQKSN","bundle":"https://pith.science/pith/R6BZTRVRRWDP6LDATDTNTAQKSN/bundle.json","state":"https://pith.science/pith/R6BZTRVRRWDP6LDATDTNTAQKSN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R6BZTRVRRWDP6LDATDTNTAQKSN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:R6BZTRVRRWDP6LDATDTNTAQKSN","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":"f5a573cdd4db11849ac8dc3e0f7c6700d3e82452105e35b3c0d16938316d2e16","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-22T22:47:08Z","title_canon_sha256":"6d46a598d501697a30d3cbfe75d08344df303632234e3d3130e62750fd71cae9"},"schema_version":"1.0","source":{"id":"1310.6076","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.6076","created_at":"2026-05-18T03:06:44Z"},{"alias_kind":"arxiv_version","alias_value":"1310.6076v2","created_at":"2026-05-18T03:06:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.6076","created_at":"2026-05-18T03:06:44Z"},{"alias_kind":"pith_short_12","alias_value":"R6BZTRVRRWDP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"R6BZTRVRRWDP6LDA","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"R6BZTRVR","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:98513e914094b628207345ac8144db47ad7983debb83af038dcd0c8ba795f073","target":"graph","created_at":"2026-05-18T03:06:44Z","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 discuss the ultraviolet (UV) to infrared (IR) evolution of asymptotically free chiral gauge theories. Various types of IR behavior are considered, including confinement without spontaneous chiral symmetry breaking, and formation of bilinear fermion condensates that preserve or dynamically break the chiral gauge invariance. We compare different schemes for the study of this evolution and the resultant IR structure of the theories, including a conjectured inequality based on the counting of degrees of freedom. We note some new patterns of UV to IR evolution.","authors_text":"Robert Shrock, Thomas Appelquist","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-22T22:47:08Z","title":"On the Ultraviolet to Infrared Evolution of Chiral Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.6076","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":"sha256:9d8cd942287dbdb625cf9bda8780f6eabe6bc80b26215566e5683d2b08211be2","target":"record","created_at":"2026-05-18T03:06:44Z","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":"f5a573cdd4db11849ac8dc3e0f7c6700d3e82452105e35b3c0d16938316d2e16","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-22T22:47:08Z","title_canon_sha256":"6d46a598d501697a30d3cbfe75d08344df303632234e3d3130e62750fd71cae9"},"schema_version":"1.0","source":{"id":"1310.6076","kind":"arxiv","version":2}},"canonical_sha256":"8f8399c6b18d86ff2c6098e6d9820a93672c231df2ec134dc9d21f0108246db2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f8399c6b18d86ff2c6098e6d9820a93672c231df2ec134dc9d21f0108246db2","first_computed_at":"2026-05-18T03:06:44.171147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:44.171147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e7FXLx3VoOeFOye/6j2D4YknyF/SiAzZDo+QxP6t3Md5yvcADiHZJonlOCubm3i4PsboO6KjsIeb5EXhPP3CAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:44.171774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.6076","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d8cd942287dbdb625cf9bda8780f6eabe6bc80b26215566e5683d2b08211be2","sha256:98513e914094b628207345ac8144db47ad7983debb83af038dcd0c8ba795f073"],"state_sha256":"5177206f30ff871e1ba7ce9d05a360f1a129c91897b4e40a8e378fc5e9e35c11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"42uHSV91xXRJsjRUyO6ZWrfQcj6q/dF6gzUio2P/3dZzy6umL6l1KWBk6Npz2aOkSw8osGxyrO0C4BZWe8rQBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T19:31:16.436788Z","bundle_sha256":"0d4a399fa3e0d339853a3c4d11f5c01b7307828e751253c9c72193ae634373ef"}}