{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:EZA6BI6QMEWI64HROGTSYPUL5W","short_pith_number":"pith:EZA6BI6Q","canonical_record":{"source":{"id":"1507.02392","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-09T06:47:07Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"294330522de7183c65b29a1af3966c86cb561eb7673056dd5bfc1a6ad2d38a4e","abstract_canon_sha256":"363ee119b4d69a4975489ec4d5e9929519e878283f22072f90aa6aada2b199b2"},"schema_version":"1.0"},"canonical_sha256":"2641e0a3d0612c8f70f171a72c3e8bed81a0a733ae884c107b7cf55795ca0c29","source":{"kind":"arxiv","id":"1507.02392","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.02392","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"arxiv_version","alias_value":"1507.02392v3","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02392","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"pith_short_12","alias_value":"EZA6BI6QMEWI","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EZA6BI6QMEWI64HR","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EZA6BI6Q","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:EZA6BI6QMEWI64HROGTSYPUL5W","target":"record","payload":{"canonical_record":{"source":{"id":"1507.02392","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-09T06:47:07Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"294330522de7183c65b29a1af3966c86cb561eb7673056dd5bfc1a6ad2d38a4e","abstract_canon_sha256":"363ee119b4d69a4975489ec4d5e9929519e878283f22072f90aa6aada2b199b2"},"schema_version":"1.0"},"canonical_sha256":"2641e0a3d0612c8f70f171a72c3e8bed81a0a733ae884c107b7cf55795ca0c29","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:54.010124Z","signature_b64":"dLGYdybMNg9n1HEjlpV+XixEClGuERfyUNtQuV0o40ElfXshAPladI6A1pUubZDAMckBy8GLSbDPIou57/Z2CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2641e0a3d0612c8f70f171a72c3e8bed81a0a733ae884c107b7cf55795ca0c29","last_reissued_at":"2026-05-18T01:28:54.009517Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:54.009517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.02392","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:28:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nyl/NwS99HlYM0/0GYeI6w8Qv+SWoA8DsHoEskTvGRRax15XHPXUq+iysPhrOnwYO4Rk0mwHEli/uDwAk9U/Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:54:54.604492Z"},"content_sha256":"3c81b734ed2f2e64abf28a15667d67582bd44a064350ec001e616283751baa4d","schema_version":"1.0","event_id":"sha256:3c81b734ed2f2e64abf28a15667d67582bd44a064350ec001e616283751baa4d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:EZA6BI6QMEWI64HROGTSYPUL5W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization of Extended QCD$_2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Hidenori Fukaya, Ryo Yamamura","submitted_at":"2015-07-09T06:47:07Z","abstract_excerpt":"Extended QCD (XQCD) proposed by Kaplan [1] is an interesting reformulation of QCD with additional bosonic auxiliary fields. While its partition function is kept exactly the same as that of original QCD, XQCD naturally contains properties of low energy hadronic models. We analyze the renormalization group flow of two-dimensional (X)QCD, which is solvable in the limit of large number of colors Nc, to understand what kind of roles the auxiliary degrees of freedom play and how the hadronic picture emerges in the low energy region."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02392","kind":"arxiv","version":3},"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":"2026-05-18T01:28:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tUlGvqwF+Noo6h12/vnYnivhPVj/1USV7pB9Y1wmzkIBbExyQ8WZjIegrH9eQav92kTQOcTjomYG56ZJsVUWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:54:54.606093Z"},"content_sha256":"b1694c6cdefa3c7c4728cec3939b3300b3c958be3da208cd7c141d07d51e5737","schema_version":"1.0","event_id":"sha256:b1694c6cdefa3c7c4728cec3939b3300b3c958be3da208cd7c141d07d51e5737"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EZA6BI6QMEWI64HROGTSYPUL5W/bundle.json","state_url":"https://pith.science/pith/EZA6BI6QMEWI64HROGTSYPUL5W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EZA6BI6QMEWI64HROGTSYPUL5W/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":"2026-05-28T17:54:54Z","links":{"resolver":"https://pith.science/pith/EZA6BI6QMEWI64HROGTSYPUL5W","bundle":"https://pith.science/pith/EZA6BI6QMEWI64HROGTSYPUL5W/bundle.json","state":"https://pith.science/pith/EZA6BI6QMEWI64HROGTSYPUL5W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EZA6BI6QMEWI64HROGTSYPUL5W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:EZA6BI6QMEWI64HROGTSYPUL5W","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":"363ee119b4d69a4975489ec4d5e9929519e878283f22072f90aa6aada2b199b2","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-09T06:47:07Z","title_canon_sha256":"294330522de7183c65b29a1af3966c86cb561eb7673056dd5bfc1a6ad2d38a4e"},"schema_version":"1.0","source":{"id":"1507.02392","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.02392","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"arxiv_version","alias_value":"1507.02392v3","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02392","created_at":"2026-05-18T01:28:54Z"},{"alias_kind":"pith_short_12","alias_value":"EZA6BI6QMEWI","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"EZA6BI6QMEWI64HR","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"EZA6BI6Q","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:b1694c6cdefa3c7c4728cec3939b3300b3c958be3da208cd7c141d07d51e5737","target":"graph","created_at":"2026-05-18T01:28:54Z","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":"Extended QCD (XQCD) proposed by Kaplan [1] is an interesting reformulation of QCD with additional bosonic auxiliary fields. While its partition function is kept exactly the same as that of original QCD, XQCD naturally contains properties of low energy hadronic models. We analyze the renormalization group flow of two-dimensional (X)QCD, which is solvable in the limit of large number of colors Nc, to understand what kind of roles the auxiliary degrees of freedom play and how the hadronic picture emerges in the low energy region.","authors_text":"Hidenori Fukaya, Ryo Yamamura","cross_cats":["hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-09T06:47:07Z","title":"Renormalization of Extended QCD$_2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02392","kind":"arxiv","version":3},"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":"sha256:3c81b734ed2f2e64abf28a15667d67582bd44a064350ec001e616283751baa4d","target":"record","created_at":"2026-05-18T01:28:54Z","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":"363ee119b4d69a4975489ec4d5e9929519e878283f22072f90aa6aada2b199b2","cross_cats_sorted":["hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-07-09T06:47:07Z","title_canon_sha256":"294330522de7183c65b29a1af3966c86cb561eb7673056dd5bfc1a6ad2d38a4e"},"schema_version":"1.0","source":{"id":"1507.02392","kind":"arxiv","version":3}},"canonical_sha256":"2641e0a3d0612c8f70f171a72c3e8bed81a0a733ae884c107b7cf55795ca0c29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2641e0a3d0612c8f70f171a72c3e8bed81a0a733ae884c107b7cf55795ca0c29","first_computed_at":"2026-05-18T01:28:54.009517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:54.009517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dLGYdybMNg9n1HEjlpV+XixEClGuERfyUNtQuV0o40ElfXshAPladI6A1pUubZDAMckBy8GLSbDPIou57/Z2CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:54.010124Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.02392","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c81b734ed2f2e64abf28a15667d67582bd44a064350ec001e616283751baa4d","sha256:b1694c6cdefa3c7c4728cec3939b3300b3c958be3da208cd7c141d07d51e5737"],"state_sha256":"17698f665e508cad8eee729833845f827b7f1fe80b19b845bceceb37a30c5d49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SRjWeIyYweF7bvJtxNtsUN8rGoMrn8q2LbBM+deQjM0xaoBH3ZCOkGgNwLLafZ+bNbo9MnTQFCBno75DXiZlCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:54:54.614115Z","bundle_sha256":"34a3170c765d32d872626d014a465c6073fb74aebced982039127b5af4b1aa1e"}}