{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:TMNFCTEWT4AJBYQN7CFPGNNV2C","short_pith_number":"pith:TMNFCTEW","canonical_record":{"source":{"id":"2405.15588","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-05-24T14:20:00Z","cross_cats_sorted":[],"title_canon_sha256":"1d7a73a2bbaf5ca428df4bffd5c61784ad99cc0531e1322309b29b0fa11078d4","abstract_canon_sha256":"55cbc1bee63332174230d476d3531f877fc318ab7b3f7afe073f8b0431692b42"},"schema_version":"1.0"},"canonical_sha256":"9b1a514c969f0090e20df88af335b5d0a767815a0e30c4d9e5035ae873991eb3","source":{"kind":"arxiv","id":"2405.15588","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.15588","created_at":"2026-07-05T11:31:38Z"},{"alias_kind":"arxiv_version","alias_value":"2405.15588v3","created_at":"2026-07-05T11:31:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.15588","created_at":"2026-07-05T11:31:38Z"},{"alias_kind":"pith_short_12","alias_value":"TMNFCTEWT4AJ","created_at":"2026-07-05T11:31:38Z"},{"alias_kind":"pith_short_16","alias_value":"TMNFCTEWT4AJBYQN","created_at":"2026-07-05T11:31:38Z"},{"alias_kind":"pith_short_8","alias_value":"TMNFCTEW","created_at":"2026-07-05T11:31:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:TMNFCTEWT4AJBYQN7CFPGNNV2C","target":"record","payload":{"canonical_record":{"source":{"id":"2405.15588","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-05-24T14:20:00Z","cross_cats_sorted":[],"title_canon_sha256":"1d7a73a2bbaf5ca428df4bffd5c61784ad99cc0531e1322309b29b0fa11078d4","abstract_canon_sha256":"55cbc1bee63332174230d476d3531f877fc318ab7b3f7afe073f8b0431692b42"},"schema_version":"1.0"},"canonical_sha256":"9b1a514c969f0090e20df88af335b5d0a767815a0e30c4d9e5035ae873991eb3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:31:38.793098Z","signature_b64":"jIhJHrBpASUFuHgYdWjtEsXOtNfFdSLBw8WONDd1Bgzlyw6kez0YJwlXS7x/XhJnwgSiYJGw1l6/R3GZAazaCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b1a514c969f0090e20df88af335b5d0a767815a0e30c4d9e5035ae873991eb3","last_reissued_at":"2026-07-05T11:31:38.792616Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:31:38.792616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.15588","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":"2026-07-05T11:31:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pIPvRORVJWSU3wSg2jY3xClARELE4g93hf5Pyg+fwcJhpn26DmjE38rmdsbcIN7HbV5MiFlUrSHbus2zyY4aBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T20:24:09.032693Z"},"content_sha256":"20b458faf44f97ece6275aacca86cbd9073f2bdb8f4c6e4a3c7fb7660932b120","schema_version":"1.0","event_id":"sha256:20b458faf44f97ece6275aacca86cbd9073f2bdb8f4c6e4a3c7fb7660932b120"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:TMNFCTEWT4AJBYQN7CFPGNNV2C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modified 3D Massive Abelian 2-From Theory with a Single Pseudo-Scalar Field as a Phantom Field: BRST Approach","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"E. Harikumar, R. P. Malik, S. K. Panja","submitted_at":"2024-05-24T14:20:00Z","abstract_excerpt":"We obtain the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations (corresponding to the infinitesimal classical gauge symmetry transformations) for the modified massive three $(2+1)$-dimensional (3D) Abelian 2-form gauge theory with a single pseudo-scalar field. The latter field (having the negative kinetic term and a well-defined mass) has already been shown (i) to exist in the modified version of the standard 3D St${\\ddot u}$ckelberg formalism (on the solid mathematical grounds), (ii) to be a possible candidate for the ``phantom\" field of some of the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.15588","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2405.15588/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":"2026-07-05T11:31:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tj01th7qxF5BY5wKgQk/r5LBR3elqlL9crlRLFHK7xqE6lu1d+k5OjXfMuHGH4sXnapat3tX4ZaFE6eGUDWaBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T20:24:09.033065Z"},"content_sha256":"31d09208a8bc800afcf2c3cf4c3bd6d05c8fd3153b17bf04f925634b9f7eddb5","schema_version":"1.0","event_id":"sha256:31d09208a8bc800afcf2c3cf4c3bd6d05c8fd3153b17bf04f925634b9f7eddb5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TMNFCTEWT4AJBYQN7CFPGNNV2C/bundle.json","state_url":"https://pith.science/pith/TMNFCTEWT4AJBYQN7CFPGNNV2C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TMNFCTEWT4AJBYQN7CFPGNNV2C/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":"2026-07-11T20:24:09Z","links":{"resolver":"https://pith.science/pith/TMNFCTEWT4AJBYQN7CFPGNNV2C","bundle":"https://pith.science/pith/TMNFCTEWT4AJBYQN7CFPGNNV2C/bundle.json","state":"https://pith.science/pith/TMNFCTEWT4AJBYQN7CFPGNNV2C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TMNFCTEWT4AJBYQN7CFPGNNV2C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:TMNFCTEWT4AJBYQN7CFPGNNV2C","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":"55cbc1bee63332174230d476d3531f877fc318ab7b3f7afe073f8b0431692b42","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-05-24T14:20:00Z","title_canon_sha256":"1d7a73a2bbaf5ca428df4bffd5c61784ad99cc0531e1322309b29b0fa11078d4"},"schema_version":"1.0","source":{"id":"2405.15588","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.15588","created_at":"2026-07-05T11:31:38Z"},{"alias_kind":"arxiv_version","alias_value":"2405.15588v3","created_at":"2026-07-05T11:31:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.15588","created_at":"2026-07-05T11:31:38Z"},{"alias_kind":"pith_short_12","alias_value":"TMNFCTEWT4AJ","created_at":"2026-07-05T11:31:38Z"},{"alias_kind":"pith_short_16","alias_value":"TMNFCTEWT4AJBYQN","created_at":"2026-07-05T11:31:38Z"},{"alias_kind":"pith_short_8","alias_value":"TMNFCTEW","created_at":"2026-07-05T11:31:38Z"}],"graph_snapshots":[{"event_id":"sha256:31d09208a8bc800afcf2c3cf4c3bd6d05c8fd3153b17bf04f925634b9f7eddb5","target":"graph","created_at":"2026-07-05T11:31:38Z","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/2405.15588/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We obtain the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations (corresponding to the infinitesimal classical gauge symmetry transformations) for the modified massive three $(2+1)$-dimensional (3D) Abelian 2-form gauge theory with a single pseudo-scalar field. The latter field (having the negative kinetic term and a well-defined mass) has already been shown (i) to exist in the modified version of the standard 3D St${\\ddot u}$ckelberg formalism (on the solid mathematical grounds), (ii) to be a possible candidate for the ``phantom\" field of some of the c","authors_text":"E. Harikumar, R. P. Malik, S. K. Panja","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-05-24T14:20:00Z","title":"Modified 3D Massive Abelian 2-From Theory with a Single Pseudo-Scalar Field as a Phantom Field: BRST Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.15588","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":"sha256:20b458faf44f97ece6275aacca86cbd9073f2bdb8f4c6e4a3c7fb7660932b120","target":"record","created_at":"2026-07-05T11:31:38Z","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":"55cbc1bee63332174230d476d3531f877fc318ab7b3f7afe073f8b0431692b42","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-05-24T14:20:00Z","title_canon_sha256":"1d7a73a2bbaf5ca428df4bffd5c61784ad99cc0531e1322309b29b0fa11078d4"},"schema_version":"1.0","source":{"id":"2405.15588","kind":"arxiv","version":3}},"canonical_sha256":"9b1a514c969f0090e20df88af335b5d0a767815a0e30c4d9e5035ae873991eb3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b1a514c969f0090e20df88af335b5d0a767815a0e30c4d9e5035ae873991eb3","first_computed_at":"2026-07-05T11:31:38.792616Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:31:38.792616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jIhJHrBpASUFuHgYdWjtEsXOtNfFdSLBw8WONDd1Bgzlyw6kez0YJwlXS7x/XhJnwgSiYJGw1l6/R3GZAazaCw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:31:38.793098Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.15588","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20b458faf44f97ece6275aacca86cbd9073f2bdb8f4c6e4a3c7fb7660932b120","sha256:31d09208a8bc800afcf2c3cf4c3bd6d05c8fd3153b17bf04f925634b9f7eddb5"],"state_sha256":"07f26a9311a0ebd9b950933a8eeeb0f139d279e47bea80aae07ef427fc714f56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UcN27RQ0dVFqknfpYG9PLzQ7HMApMoJxQ+fNBUFqfjdM5LRZ4ylt3qMxXwhQtI2n/Qfq8/txeDt2+0dIGSo+CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T20:24:09.035279Z","bundle_sha256":"9a97fd87509448bea0e9002c5a17ebe37e3dd077352c21f7fd9feb85fa726d71"}}