{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:AG7QRJTWKTZK7K4Q7BYX5CVMQJ","short_pith_number":"pith:AG7QRJTW","canonical_record":{"source":{"id":"1107.3651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-19T09:01:45Z","cross_cats_sorted":[],"title_canon_sha256":"d12cf81d3ae52372ba70cacb035fba0e45d0f4be38f208eef32fe20a04c5812a","abstract_canon_sha256":"95f003d69f64dc2e4629fc2e1bd7a2be0e80a2c0ccbff40a1447b522a86eac67"},"schema_version":"1.0"},"canonical_sha256":"01bf08a67654f2afab90f8717e8aac8243153b2c6b20dc9720a74dd12dc236a1","source":{"kind":"arxiv","id":"1107.3651","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.3651","created_at":"2026-05-18T02:01:15Z"},{"alias_kind":"arxiv_version","alias_value":"1107.3651v1","created_at":"2026-05-18T02:01:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3651","created_at":"2026-05-18T02:01:15Z"},{"alias_kind":"pith_short_12","alias_value":"AG7QRJTWKTZK","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AG7QRJTWKTZK7K4Q","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AG7QRJTW","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:AG7QRJTWKTZK7K4Q7BYX5CVMQJ","target":"record","payload":{"canonical_record":{"source":{"id":"1107.3651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-19T09:01:45Z","cross_cats_sorted":[],"title_canon_sha256":"d12cf81d3ae52372ba70cacb035fba0e45d0f4be38f208eef32fe20a04c5812a","abstract_canon_sha256":"95f003d69f64dc2e4629fc2e1bd7a2be0e80a2c0ccbff40a1447b522a86eac67"},"schema_version":"1.0"},"canonical_sha256":"01bf08a67654f2afab90f8717e8aac8243153b2c6b20dc9720a74dd12dc236a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:15.029881Z","signature_b64":"g3yBCQEyRfqtZixXIf6zp3HHBrO4dw3hcHb/8NsNoW+gw1LVwYpaogvzle8lWKbUDBo50a9oVJbsW1pNPETFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01bf08a67654f2afab90f8717e8aac8243153b2c6b20dc9720a74dd12dc236a1","last_reissued_at":"2026-05-18T02:01:15.029358Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:15.029358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.3651","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":"2026-05-18T02:01:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yrbqH4VWeHOVL16fla+BQCipGFl+bybg8Y3dlv1Zp3KIlCOiVe6oWH/u8CpV8ujvIaO+DWoa5G7SdtSw29wSCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:32:43.792265Z"},"content_sha256":"646d2c9d6bb11d64a25580d355691e886bf47988402c1a021d04f10d7bf601ca","schema_version":"1.0","event_id":"sha256:646d2c9d6bb11d64a25580d355691e886bf47988402c1a021d04f10d7bf601ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:AG7QRJTWKTZK7K4Q7BYX5CVMQJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noncommutative Two-Dimensional Gauge Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adi Armoni","submitted_at":"2011-07-19T09:01:45Z","abstract_excerpt":"We elaborate on the dynamics of noncommutative two-dimensional gauge field theories. We consider U(N) gauge theories with fermions in either the fundamental or the adjoint representation. Noncommutativity leads to a rather non-trivial dependence on theta (the noncommutativity parameter) and to a rich dynamics. In particular the mass spectrum of the noncommutative U(1) theory with adjoint matter is similar to that of ordinary (commutative) two-dimensional large-N SU(N) gauge theory with adjoint matter. The noncommutative version of the 't Hooft model receives a non-trivial contribution to the v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3651","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":"2026-05-18T02:01:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VHGp2J8ONTTD+Y+oru5djvbIf6nn297RagkP5dJCj457D43WH3aHsjVjivuKrPIqrkALLipN4EO7gXvEPWVBBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:32:43.792615Z"},"content_sha256":"af1bfe3dfa276cbec363029c8baf06ccaeaa91914c46a34773365c3851086c72","schema_version":"1.0","event_id":"sha256:af1bfe3dfa276cbec363029c8baf06ccaeaa91914c46a34773365c3851086c72"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AG7QRJTWKTZK7K4Q7BYX5CVMQJ/bundle.json","state_url":"https://pith.science/pith/AG7QRJTWKTZK7K4Q7BYX5CVMQJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AG7QRJTWKTZK7K4Q7BYX5CVMQJ/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":"2026-06-01T15:32:43Z","links":{"resolver":"https://pith.science/pith/AG7QRJTWKTZK7K4Q7BYX5CVMQJ","bundle":"https://pith.science/pith/AG7QRJTWKTZK7K4Q7BYX5CVMQJ/bundle.json","state":"https://pith.science/pith/AG7QRJTWKTZK7K4Q7BYX5CVMQJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AG7QRJTWKTZK7K4Q7BYX5CVMQJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AG7QRJTWKTZK7K4Q7BYX5CVMQJ","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":"95f003d69f64dc2e4629fc2e1bd7a2be0e80a2c0ccbff40a1447b522a86eac67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-19T09:01:45Z","title_canon_sha256":"d12cf81d3ae52372ba70cacb035fba0e45d0f4be38f208eef32fe20a04c5812a"},"schema_version":"1.0","source":{"id":"1107.3651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.3651","created_at":"2026-05-18T02:01:15Z"},{"alias_kind":"arxiv_version","alias_value":"1107.3651v1","created_at":"2026-05-18T02:01:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.3651","created_at":"2026-05-18T02:01:15Z"},{"alias_kind":"pith_short_12","alias_value":"AG7QRJTWKTZK","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AG7QRJTWKTZK7K4Q","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AG7QRJTW","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:af1bfe3dfa276cbec363029c8baf06ccaeaa91914c46a34773365c3851086c72","target":"graph","created_at":"2026-05-18T02:01:15Z","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 elaborate on the dynamics of noncommutative two-dimensional gauge field theories. We consider U(N) gauge theories with fermions in either the fundamental or the adjoint representation. Noncommutativity leads to a rather non-trivial dependence on theta (the noncommutativity parameter) and to a rich dynamics. In particular the mass spectrum of the noncommutative U(1) theory with adjoint matter is similar to that of ordinary (commutative) two-dimensional large-N SU(N) gauge theory with adjoint matter. The noncommutative version of the 't Hooft model receives a non-trivial contribution to the v","authors_text":"Adi Armoni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-19T09:01:45Z","title":"Noncommutative Two-Dimensional Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.3651","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":"sha256:646d2c9d6bb11d64a25580d355691e886bf47988402c1a021d04f10d7bf601ca","target":"record","created_at":"2026-05-18T02:01:15Z","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":"95f003d69f64dc2e4629fc2e1bd7a2be0e80a2c0ccbff40a1447b522a86eac67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-19T09:01:45Z","title_canon_sha256":"d12cf81d3ae52372ba70cacb035fba0e45d0f4be38f208eef32fe20a04c5812a"},"schema_version":"1.0","source":{"id":"1107.3651","kind":"arxiv","version":1}},"canonical_sha256":"01bf08a67654f2afab90f8717e8aac8243153b2c6b20dc9720a74dd12dc236a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01bf08a67654f2afab90f8717e8aac8243153b2c6b20dc9720a74dd12dc236a1","first_computed_at":"2026-05-18T02:01:15.029358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:15.029358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g3yBCQEyRfqtZixXIf6zp3HHBrO4dw3hcHb/8NsNoW+gw1LVwYpaogvzle8lWKbUDBo50a9oVJbsW1pNPETFBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:15.029881Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.3651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:646d2c9d6bb11d64a25580d355691e886bf47988402c1a021d04f10d7bf601ca","sha256:af1bfe3dfa276cbec363029c8baf06ccaeaa91914c46a34773365c3851086c72"],"state_sha256":"137e0fc72162e847fe1f68b8240ec457e0c63a936eff20720f89898860ed8d81"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sTsDipI0AFdawfuCItDE7odIeDP/qwrGlKiNpqPMIL00v825rbB6e8Q72oFyJvlBJFVadJ01nnnBGHL0ZZ1dCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:32:43.794461Z","bundle_sha256":"d5be845856018cb4d7494efe5f5f35a83469b6f88c89c8473cb70f169ebd32b4"}}