{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QWQRTPLZUN4NUGGNUMDEY5FE25","short_pith_number":"pith:QWQRTPLZ","canonical_record":{"source":{"id":"1006.1580","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T14:55:26Z","cross_cats_sorted":[],"title_canon_sha256":"14ae62644408ecae13f2ffa8195b05221db1caa524e8d30f2034cbf88bbe32bd","abstract_canon_sha256":"35b3ef20d49e0904c14a7722aeb9c70c24ba6624cebeaee1b33c3453e52b0892"},"schema_version":"1.0"},"canonical_sha256":"85a119bd79a378da18cda3064c74a4d74b4a9aacbf394a33bf9c6eb41c57d04b","source":{"kind":"arxiv","id":"1006.1580","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1580","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1580v2","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1580","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"pith_short_12","alias_value":"QWQRTPLZUN4N","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QWQRTPLZUN4NUGGN","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QWQRTPLZ","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QWQRTPLZUN4NUGGNUMDEY5FE25","target":"record","payload":{"canonical_record":{"source":{"id":"1006.1580","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T14:55:26Z","cross_cats_sorted":[],"title_canon_sha256":"14ae62644408ecae13f2ffa8195b05221db1caa524e8d30f2034cbf88bbe32bd","abstract_canon_sha256":"35b3ef20d49e0904c14a7722aeb9c70c24ba6624cebeaee1b33c3453e52b0892"},"schema_version":"1.0"},"canonical_sha256":"85a119bd79a378da18cda3064c74a4d74b4a9aacbf394a33bf9c6eb41c57d04b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:56.048664Z","signature_b64":"Y8UObBKnHaDQ9pxIp4EQlxtMJlGbfJvzSK4aL+kHhVZDO1IFkffSfRsXXfrSCmHyGYyHpqEFLmApTHwEeGilDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85a119bd79a378da18cda3064c74a4d74b4a9aacbf394a33bf9c6eb41c57d04b","last_reissued_at":"2026-05-18T02:06:56.047710Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:56.047710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.1580","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":"2026-05-18T02:06:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"twScP4zW4egGTxpxFD8jyol4OYGIwfL0sdfYdUSgjdiA71ZZlH57G7SQOrAvp5mq4OSNdYrklVqIftfBMAE4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T19:25:57.005585Z"},"content_sha256":"dfa64c7fea35dd6295567373e6c6241763709ee21561f19814abfb5ca66c5c62","schema_version":"1.0","event_id":"sha256:dfa64c7fea35dd6295567373e6c6241763709ee21561f19814abfb5ca66c5c62"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QWQRTPLZUN4NUGGNUMDEY5FE25","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong coupling limits and quantum isomorphisms of the gauged Thirring model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bruto Max Pimentel, Rodolfo Casana, Rodrigo Bufalo","submitted_at":"2010-06-08T14:55:26Z","abstract_excerpt":"We have studied the quantum equivalence in the respective strong coupling limits of the bidimensional gauged Thirring model with both Schwinger and Thirring models. It is achieved following a nonperturbative quantization of the gauged Thirring model into the path-integral approach. First, we have established the constraint structure via the Dirac's formalism for constrained systems and defined the correct vacuum--vacuum transition amplitude by using the Faddeev-Senjanovic method. Next, we have computed exactly the relevant Green's functions and shown the Ward-Takahashi identities. Afterwards, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1580","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":"2026-05-18T02:06:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PFgMnOJc/QwA2lPC8NzHLlpb+EPw4JoonMbOG3udd9e69ceb3KNMKPO4XMksNdKGiLliqTgpAERzWk0nD9G/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T19:25:57.005942Z"},"content_sha256":"b54e548035e8ffe152d86a4630b419ddc79b93cf9846e7cd06838dfa8c7f2779","schema_version":"1.0","event_id":"sha256:b54e548035e8ffe152d86a4630b419ddc79b93cf9846e7cd06838dfa8c7f2779"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QWQRTPLZUN4NUGGNUMDEY5FE25/bundle.json","state_url":"https://pith.science/pith/QWQRTPLZUN4NUGGNUMDEY5FE25/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QWQRTPLZUN4NUGGNUMDEY5FE25/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":"2026-06-10T19:25:57Z","links":{"resolver":"https://pith.science/pith/QWQRTPLZUN4NUGGNUMDEY5FE25","bundle":"https://pith.science/pith/QWQRTPLZUN4NUGGNUMDEY5FE25/bundle.json","state":"https://pith.science/pith/QWQRTPLZUN4NUGGNUMDEY5FE25/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QWQRTPLZUN4NUGGNUMDEY5FE25/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QWQRTPLZUN4NUGGNUMDEY5FE25","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":"35b3ef20d49e0904c14a7722aeb9c70c24ba6624cebeaee1b33c3453e52b0892","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T14:55:26Z","title_canon_sha256":"14ae62644408ecae13f2ffa8195b05221db1caa524e8d30f2034cbf88bbe32bd"},"schema_version":"1.0","source":{"id":"1006.1580","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1580","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1580v2","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1580","created_at":"2026-05-18T02:06:56Z"},{"alias_kind":"pith_short_12","alias_value":"QWQRTPLZUN4N","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"QWQRTPLZUN4NUGGN","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"QWQRTPLZ","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:b54e548035e8ffe152d86a4630b419ddc79b93cf9846e7cd06838dfa8c7f2779","target":"graph","created_at":"2026-05-18T02:06:56Z","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 have studied the quantum equivalence in the respective strong coupling limits of the bidimensional gauged Thirring model with both Schwinger and Thirring models. It is achieved following a nonperturbative quantization of the gauged Thirring model into the path-integral approach. First, we have established the constraint structure via the Dirac's formalism for constrained systems and defined the correct vacuum--vacuum transition amplitude by using the Faddeev-Senjanovic method. Next, we have computed exactly the relevant Green's functions and shown the Ward-Takahashi identities. Afterwards, ","authors_text":"Bruto Max Pimentel, Rodolfo Casana, Rodrigo Bufalo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T14:55:26Z","title":"Strong coupling limits and quantum isomorphisms of the gauged Thirring model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1580","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:dfa64c7fea35dd6295567373e6c6241763709ee21561f19814abfb5ca66c5c62","target":"record","created_at":"2026-05-18T02:06:56Z","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":"35b3ef20d49e0904c14a7722aeb9c70c24ba6624cebeaee1b33c3453e52b0892","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T14:55:26Z","title_canon_sha256":"14ae62644408ecae13f2ffa8195b05221db1caa524e8d30f2034cbf88bbe32bd"},"schema_version":"1.0","source":{"id":"1006.1580","kind":"arxiv","version":2}},"canonical_sha256":"85a119bd79a378da18cda3064c74a4d74b4a9aacbf394a33bf9c6eb41c57d04b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85a119bd79a378da18cda3064c74a4d74b4a9aacbf394a33bf9c6eb41c57d04b","first_computed_at":"2026-05-18T02:06:56.047710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:56.047710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y8UObBKnHaDQ9pxIp4EQlxtMJlGbfJvzSK4aL+kHhVZDO1IFkffSfRsXXfrSCmHyGYyHpqEFLmApTHwEeGilDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:56.048664Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1580","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfa64c7fea35dd6295567373e6c6241763709ee21561f19814abfb5ca66c5c62","sha256:b54e548035e8ffe152d86a4630b419ddc79b93cf9846e7cd06838dfa8c7f2779"],"state_sha256":"9afa4480d42fc5241f7bb77a6a14952adb52116fdd841a56c74ec81cc236f0e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9cTWv7HfY7L5193Xvu0VwsbjECpfPu6xWpB9p8zlCgdfSXVfpnpwZT0W1Omx1EjnusUBVPNjrwqVkASntXzGDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T19:25:57.007940Z","bundle_sha256":"10c16456108d900818b072069b4d9a145ef1773e4e9d393496330c189432c15a"}}