{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:6KCN5ASFGSW7I533AIG45NBIEU","short_pith_number":"pith:6KCN5ASF","canonical_record":{"source":{"id":"1109.4806","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T13:39:31Z","cross_cats_sorted":[],"title_canon_sha256":"b859b154742ed587b88efcc3f1f92ac64b35a84d65f85f69f218f65519efa532","abstract_canon_sha256":"ba5953fa1e41b3281aec7d4b342e7cd6ae310eff702677700dba22790af93486"},"schema_version":"1.0"},"canonical_sha256":"f284de824534adf4777b020dceb428252f24b79b47100b385d787341221f4d2b","source":{"kind":"arxiv","id":"1109.4806","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4806","created_at":"2026-05-18T02:00:26Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4806v2","created_at":"2026-05-18T02:00:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4806","created_at":"2026-05-18T02:00:26Z"},{"alias_kind":"pith_short_12","alias_value":"6KCN5ASFGSW7","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6KCN5ASFGSW7I533","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6KCN5ASF","created_at":"2026-05-18T12:26:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:6KCN5ASFGSW7I533AIG45NBIEU","target":"record","payload":{"canonical_record":{"source":{"id":"1109.4806","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T13:39:31Z","cross_cats_sorted":[],"title_canon_sha256":"b859b154742ed587b88efcc3f1f92ac64b35a84d65f85f69f218f65519efa532","abstract_canon_sha256":"ba5953fa1e41b3281aec7d4b342e7cd6ae310eff702677700dba22790af93486"},"schema_version":"1.0"},"canonical_sha256":"f284de824534adf4777b020dceb428252f24b79b47100b385d787341221f4d2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:26.621006Z","signature_b64":"Z8sOze7lG6pw5asnRn70ULX2/T3y4seKHATfyisBWi/65KzGSgIuSdpurfPHWdEuPauAL5QaZuvinM+/GtX1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f284de824534adf4777b020dceb428252f24b79b47100b385d787341221f4d2b","last_reissued_at":"2026-05-18T02:00:26.620278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:26.620278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.4806","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":"2026-05-18T02:00:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jI4FAuAkcYB/mHs/prZhtL9gV3Q8WNX4DAeBFj4M2AXoRmNICaRz9ejcyVnTltQszbbvfyIn1blOh7h8pSB+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T01:05:44.050750Z"},"content_sha256":"4a4c79427493b59a9ef583351cbc8257051dd1904f1834a7da52086df8a4b804","schema_version":"1.0","event_id":"sha256:4a4c79427493b59a9ef583351cbc8257051dd1904f1834a7da52086df8a4b804"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:6KCN5ASFGSW7I533AIG45NBIEU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comments on the dual-BRST symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Shukla, R. P. Malik, S. Krishna","submitted_at":"2011-09-22T13:39:31Z","abstract_excerpt":"In view of a raging controversy on the topic of dual-Becchi-Rouet-Stora-Tyutin (dual-BRST/co-BRST) and anti-co-BRST symmetry transformations in the context of four (3+1)-dimensional (4D) Abelian 2-form and 2D (non-)Abelian 1-form gauge theories, we attempt, in our present short note, to settle the dust by taking the help of mathematics of differential geometry, connected with the Hodge theory, which was the original motivation for the nomenclature of \"dual-BRST symmetry\" in our earlier set of works. It has been claimed, in a recent set of papers, that the co-BRST symmetries are not independent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4806","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":"2026-05-18T02:00:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GnKr5sF+MS0/0J1jnob40J5H0EL/nf0d+QHqrq2JYLsu1/6YL2IuN7DbYUOIig80oENrnz8EjxiCpe4W+mNoAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T01:05:44.051343Z"},"content_sha256":"4921dbbb1719ff714973c98bb397bf2a75feba7e53f240b29b296978e3c81db7","schema_version":"1.0","event_id":"sha256:4921dbbb1719ff714973c98bb397bf2a75feba7e53f240b29b296978e3c81db7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6KCN5ASFGSW7I533AIG45NBIEU/bundle.json","state_url":"https://pith.science/pith/6KCN5ASFGSW7I533AIG45NBIEU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6KCN5ASFGSW7I533AIG45NBIEU/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":"2026-07-13T01:05:44Z","links":{"resolver":"https://pith.science/pith/6KCN5ASFGSW7I533AIG45NBIEU","bundle":"https://pith.science/pith/6KCN5ASFGSW7I533AIG45NBIEU/bundle.json","state":"https://pith.science/pith/6KCN5ASFGSW7I533AIG45NBIEU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6KCN5ASFGSW7I533AIG45NBIEU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6KCN5ASFGSW7I533AIG45NBIEU","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":"ba5953fa1e41b3281aec7d4b342e7cd6ae310eff702677700dba22790af93486","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T13:39:31Z","title_canon_sha256":"b859b154742ed587b88efcc3f1f92ac64b35a84d65f85f69f218f65519efa532"},"schema_version":"1.0","source":{"id":"1109.4806","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4806","created_at":"2026-05-18T02:00:26Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4806v2","created_at":"2026-05-18T02:00:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4806","created_at":"2026-05-18T02:00:26Z"},{"alias_kind":"pith_short_12","alias_value":"6KCN5ASFGSW7","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6KCN5ASFGSW7I533","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6KCN5ASF","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:4921dbbb1719ff714973c98bb397bf2a75feba7e53f240b29b296978e3c81db7","target":"graph","created_at":"2026-05-18T02:00:26Z","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":"In view of a raging controversy on the topic of dual-Becchi-Rouet-Stora-Tyutin (dual-BRST/co-BRST) and anti-co-BRST symmetry transformations in the context of four (3+1)-dimensional (4D) Abelian 2-form and 2D (non-)Abelian 1-form gauge theories, we attempt, in our present short note, to settle the dust by taking the help of mathematics of differential geometry, connected with the Hodge theory, which was the original motivation for the nomenclature of \"dual-BRST symmetry\" in our earlier set of works. It has been claimed, in a recent set of papers, that the co-BRST symmetries are not independent","authors_text":"A. Shukla, R. P. Malik, S. Krishna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T13:39:31Z","title":"Comments on the dual-BRST symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4806","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":"sha256:4a4c79427493b59a9ef583351cbc8257051dd1904f1834a7da52086df8a4b804","target":"record","created_at":"2026-05-18T02:00:26Z","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":"ba5953fa1e41b3281aec7d4b342e7cd6ae310eff702677700dba22790af93486","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-22T13:39:31Z","title_canon_sha256":"b859b154742ed587b88efcc3f1f92ac64b35a84d65f85f69f218f65519efa532"},"schema_version":"1.0","source":{"id":"1109.4806","kind":"arxiv","version":2}},"canonical_sha256":"f284de824534adf4777b020dceb428252f24b79b47100b385d787341221f4d2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f284de824534adf4777b020dceb428252f24b79b47100b385d787341221f4d2b","first_computed_at":"2026-05-18T02:00:26.620278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:26.620278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z8sOze7lG6pw5asnRn70ULX2/T3y4seKHATfyisBWi/65KzGSgIuSdpurfPHWdEuPauAL5QaZuvinM+/GtX1Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:26.621006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4806","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a4c79427493b59a9ef583351cbc8257051dd1904f1834a7da52086df8a4b804","sha256:4921dbbb1719ff714973c98bb397bf2a75feba7e53f240b29b296978e3c81db7"],"state_sha256":"ab5128bede3339157ef55a1a1ae20da54e3e813c006a57412cedc333a1b2a1e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Aut1DtwggaMkj6h1ljoFvQYfoWVnZVugjYcUFUgYA9R900VtDhmlrAhe9NGiALoAp/WCBAbWsEVsnNXr5tc7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-13T01:05:44.055984Z","bundle_sha256":"df0eea962d225ca13cd8aec34b2376cba8d0d5485c53c3ebd13b545470924f6d"}}