{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:IVHH2H3OND2MZ4FA6GLAT5SNST","short_pith_number":"pith:IVHH2H3O","canonical_record":{"source":{"id":"2607.06486","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-07T16:46:59Z","cross_cats_sorted":[],"title_canon_sha256":"2668f3a1e68340a77a2ef85520168fd4621ea2e0fcd7c585c6b0fc81fe8a77f0","abstract_canon_sha256":"fd850d0494f4875e0b222d96088d0ecfb2dae53cc08735c27fd1a7aad5a20d4f"},"schema_version":"1.0"},"canonical_sha256":"454e7d1f6e68f4ccf0a0f19609f64d94c58bb6285f82e03e3d8ff4217334c3c2","source":{"kind":"arxiv","id":"2607.06486","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.06486","created_at":"2026-07-08T01:19:27Z"},{"alias_kind":"arxiv_version","alias_value":"2607.06486v1","created_at":"2026-07-08T01:19:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.06486","created_at":"2026-07-08T01:19:27Z"},{"alias_kind":"pith_short_12","alias_value":"IVHH2H3OND2M","created_at":"2026-07-08T01:19:27Z"},{"alias_kind":"pith_short_16","alias_value":"IVHH2H3OND2MZ4FA","created_at":"2026-07-08T01:19:27Z"},{"alias_kind":"pith_short_8","alias_value":"IVHH2H3O","created_at":"2026-07-08T01:19:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:IVHH2H3OND2MZ4FA6GLAT5SNST","target":"record","payload":{"canonical_record":{"source":{"id":"2607.06486","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-07T16:46:59Z","cross_cats_sorted":[],"title_canon_sha256":"2668f3a1e68340a77a2ef85520168fd4621ea2e0fcd7c585c6b0fc81fe8a77f0","abstract_canon_sha256":"fd850d0494f4875e0b222d96088d0ecfb2dae53cc08735c27fd1a7aad5a20d4f"},"schema_version":"1.0"},"canonical_sha256":"454e7d1f6e68f4ccf0a0f19609f64d94c58bb6285f82e03e3d8ff4217334c3c2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-08T01:19:27.662549Z","signature_b64":"iS4vWNhbFXR5lLwDdQqD3XfBof4g/f41J5Fl488lvhqgDy4shHxbPPc8OFNQ/aQjdSaxkAp2UJxmLbsOccc6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"454e7d1f6e68f4ccf0a0f19609f64d94c58bb6285f82e03e3d8ff4217334c3c2","last_reissued_at":"2026-07-08T01:19:27.662119Z","signature_status":"signed_v1","first_computed_at":"2026-07-08T01:19:27.662119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.06486","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":"2026-07-08T01:19:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5YXDtyLuP/2mR9wXCzKR6x6C/tz1HUVnzaFjIarRVVF/TAC01xuWJJLfBXwItNFI1/lCVCcs911F0NBXpphuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T23:36:56.005558Z"},"content_sha256":"b9b3ed2e43a48cb579603b223675a008c7c4edb18efc00cb5611df6cecfe29bc","schema_version":"1.0","event_id":"sha256:b9b3ed2e43a48cb579603b223675a008c7c4edb18efc00cb5611df6cecfe29bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:IVHH2H3OND2MZ4FA6GLAT5SNST","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Abelian 2-Form Gauge Theory: Basic Canonical Brackets and Nilpotency Property of Noether (Anti-)BRST Charges","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"R. P. Malik","submitted_at":"2026-07-07T16:46:59Z","abstract_excerpt":"Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we invoke the beauty of the basic canonical (anti)commutators to prove the nilpotency property of the Noether (anti-)BRST charges for the D-dimensional BRST-quantized version of the free Abelian 2-form gauge theory which is endowed with a non-trivial Curci-Ferrari (CF) type restriction. In this proof, we use only the theoretical strength of the Gauss divergence theorem. We demonstrate that, under the off-shell nilpotent (anti-)BRST symmetry transformations, the Noether conserved (anti-)BRST charges are not invariant and they a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.06486","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.06486/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-08T01:19:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c7Vv8maMMOYyVfax7It+lnl8AW9JyLp+Kf9a4bTDS0MRTCzMgofZeWG5QoXonxBYGo/T3Yxl6050ONJ7Y5pzCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T23:36:56.005935Z"},"content_sha256":"883eb7a07e56c8126730765693e0a136237aed3160194d29706783298de8f6cf","schema_version":"1.0","event_id":"sha256:883eb7a07e56c8126730765693e0a136237aed3160194d29706783298de8f6cf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IVHH2H3OND2MZ4FA6GLAT5SNST/bundle.json","state_url":"https://pith.science/pith/IVHH2H3OND2MZ4FA6GLAT5SNST/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IVHH2H3OND2MZ4FA6GLAT5SNST/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":"2026-07-08T23:36:56Z","links":{"resolver":"https://pith.science/pith/IVHH2H3OND2MZ4FA6GLAT5SNST","bundle":"https://pith.science/pith/IVHH2H3OND2MZ4FA6GLAT5SNST/bundle.json","state":"https://pith.science/pith/IVHH2H3OND2MZ4FA6GLAT5SNST/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IVHH2H3OND2MZ4FA6GLAT5SNST/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IVHH2H3OND2MZ4FA6GLAT5SNST","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":"fd850d0494f4875e0b222d96088d0ecfb2dae53cc08735c27fd1a7aad5a20d4f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-07T16:46:59Z","title_canon_sha256":"2668f3a1e68340a77a2ef85520168fd4621ea2e0fcd7c585c6b0fc81fe8a77f0"},"schema_version":"1.0","source":{"id":"2607.06486","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.06486","created_at":"2026-07-08T01:19:27Z"},{"alias_kind":"arxiv_version","alias_value":"2607.06486v1","created_at":"2026-07-08T01:19:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.06486","created_at":"2026-07-08T01:19:27Z"},{"alias_kind":"pith_short_12","alias_value":"IVHH2H3OND2M","created_at":"2026-07-08T01:19:27Z"},{"alias_kind":"pith_short_16","alias_value":"IVHH2H3OND2MZ4FA","created_at":"2026-07-08T01:19:27Z"},{"alias_kind":"pith_short_8","alias_value":"IVHH2H3O","created_at":"2026-07-08T01:19:27Z"}],"graph_snapshots":[{"event_id":"sha256:883eb7a07e56c8126730765693e0a136237aed3160194d29706783298de8f6cf","target":"graph","created_at":"2026-07-08T01:19:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.06486/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we invoke the beauty of the basic canonical (anti)commutators to prove the nilpotency property of the Noether (anti-)BRST charges for the D-dimensional BRST-quantized version of the free Abelian 2-form gauge theory which is endowed with a non-trivial Curci-Ferrari (CF) type restriction. In this proof, we use only the theoretical strength of the Gauss divergence theorem. We demonstrate that, under the off-shell nilpotent (anti-)BRST symmetry transformations, the Noether conserved (anti-)BRST charges are not invariant and they a","authors_text":"R. P. Malik","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-07T16:46:59Z","title":"Abelian 2-Form Gauge Theory: Basic Canonical Brackets and Nilpotency Property of Noether (Anti-)BRST Charges"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.06486","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:b9b3ed2e43a48cb579603b223675a008c7c4edb18efc00cb5611df6cecfe29bc","target":"record","created_at":"2026-07-08T01:19:27Z","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":"fd850d0494f4875e0b222d96088d0ecfb2dae53cc08735c27fd1a7aad5a20d4f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-07T16:46:59Z","title_canon_sha256":"2668f3a1e68340a77a2ef85520168fd4621ea2e0fcd7c585c6b0fc81fe8a77f0"},"schema_version":"1.0","source":{"id":"2607.06486","kind":"arxiv","version":1}},"canonical_sha256":"454e7d1f6e68f4ccf0a0f19609f64d94c58bb6285f82e03e3d8ff4217334c3c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"454e7d1f6e68f4ccf0a0f19609f64d94c58bb6285f82e03e3d8ff4217334c3c2","first_computed_at":"2026-07-08T01:19:27.662119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-08T01:19:27.662119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iS4vWNhbFXR5lLwDdQqD3XfBof4g/f41J5Fl488lvhqgDy4shHxbPPc8OFNQ/aQjdSaxkAp2UJxmLbsOccc6Bw==","signature_status":"signed_v1","signed_at":"2026-07-08T01:19:27.662549Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.06486","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9b3ed2e43a48cb579603b223675a008c7c4edb18efc00cb5611df6cecfe29bc","sha256:883eb7a07e56c8126730765693e0a136237aed3160194d29706783298de8f6cf"],"state_sha256":"f3f4b86fece59c3796eb147c59c6a762bf32e888fab7d7388024442c0976d1d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fNRCiHbT6X12AXCvFXEjfDIR3CpJR8bI674HdWDOhALxhFYqx4hYSgJa+qOpwce36sV1Cmk5QG5tM1fx12MjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T23:36:56.008334Z","bundle_sha256":"049cce75fdc373c899ca6ddce006e73d86b8bbc332963f3149b49c3fb63a890c"}}