{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:V22FQNRB5ERQTFJYNR4NEIVYGA","short_pith_number":"pith:V22FQNRB","canonical_record":{"source":{"id":"2605.20427","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T19:22:50Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ac7535a85e8a0dd2280df5515d66f95935ae1c77ef4dca81ce349b7be8a58d92","abstract_canon_sha256":"284ec6c2bcc6354c4fbbb29fb70d01b50c232c18cf1607c932a842c1a94bacf0"},"schema_version":"1.0"},"canonical_sha256":"aeb4583621e9230995386c78d222b830117bc0247b07180d22e4b461fb2912b3","source":{"kind":"arxiv","id":"2605.20427","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20427","created_at":"2026-05-21T01:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20427v1","created_at":"2026-05-21T01:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20427","created_at":"2026-05-21T01:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"V22FQNRB5ERQ","created_at":"2026-05-21T01:04:37Z"},{"alias_kind":"pith_short_16","alias_value":"V22FQNRB5ERQTFJY","created_at":"2026-05-21T01:04:37Z"},{"alias_kind":"pith_short_8","alias_value":"V22FQNRB","created_at":"2026-05-21T01:04:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:V22FQNRB5ERQTFJYNR4NEIVYGA","target":"record","payload":{"canonical_record":{"source":{"id":"2605.20427","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T19:22:50Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ac7535a85e8a0dd2280df5515d66f95935ae1c77ef4dca81ce349b7be8a58d92","abstract_canon_sha256":"284ec6c2bcc6354c4fbbb29fb70d01b50c232c18cf1607c932a842c1a94bacf0"},"schema_version":"1.0"},"canonical_sha256":"aeb4583621e9230995386c78d222b830117bc0247b07180d22e4b461fb2912b3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:04:37.510561Z","signature_b64":"+mi3iWmxPtjhF1GcZBowb8gmKUFJTK2xddu4gFAweNP9Rba+SPxOkhN84Rei3OaUzxeCd55ayCQWAAaWDyceBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aeb4583621e9230995386c78d222b830117bc0247b07180d22e4b461fb2912b3","last_reissued_at":"2026-05-21T01:04:37.510027Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:04:37.510027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.20427","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":"2026-05-21T01:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5LEG27OaDL4SZIFxKqEf98Zq/Jhdcd8P81PGtgIAF2vw34WXnPQjiJvaDXQmxNR+Q+IKPx3iioStDpt3Zt/DAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:33:07.658635Z"},"content_sha256":"6213fba4a92fd44d1515d055db5ebf50afb323e8b8ec28d3305d81cd04eff81d","schema_version":"1.0","event_id":"sha256:6213fba4a92fd44d1515d055db5ebf50afb323e8b8ec28d3305d81cd04eff81d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:V22FQNRB5ERQTFJYNR4NEIVYGA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conformal anomaly in a vector field model with auxiliary scalar field","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Ilya L. Shapiro, P\\'ublio Rwany B. R. do Vale, Samuel W. P. Oliveira","submitted_at":"2026-05-19T19:22:50Z","abstract_excerpt":"The conformal anomaly has well-known ambiguities related to the possible schemes of regularization and renormalization. In case of dimensional regularization, one of the options is to formulate the theory as conformal in the dimension $D \\neq 4$. For a gauge vector field this can be done in several ways and one of the options is to introduce an auxiliary scalar playing the role of a compensator. The advantage of this approach is that it preserves gauge symmetry and avoids problems with possible violation of unitarity. We explore the consequences of introducing such an auxiliary field for the a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20427","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/2605.20427/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":"2026-05-21T01:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"amtduu3L8Ori71bjjL44Q4iHF6TDP+Kww2TzbmYYV1e7QDLGHRazKNyFUHHxklNHv0zUyNqqTZCZ6tTTiOyMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T04:33:07.659418Z"},"content_sha256":"208254784c87239d4f789a573962f915ae7810a0bae5c61044d97838245e6706","schema_version":"1.0","event_id":"sha256:208254784c87239d4f789a573962f915ae7810a0bae5c61044d97838245e6706"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V22FQNRB5ERQTFJYNR4NEIVYGA/bundle.json","state_url":"https://pith.science/pith/V22FQNRB5ERQTFJYNR4NEIVYGA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V22FQNRB5ERQTFJYNR4NEIVYGA/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":"2026-06-11T04:33:07Z","links":{"resolver":"https://pith.science/pith/V22FQNRB5ERQTFJYNR4NEIVYGA","bundle":"https://pith.science/pith/V22FQNRB5ERQTFJYNR4NEIVYGA/bundle.json","state":"https://pith.science/pith/V22FQNRB5ERQTFJYNR4NEIVYGA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V22FQNRB5ERQTFJYNR4NEIVYGA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:V22FQNRB5ERQTFJYNR4NEIVYGA","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":"284ec6c2bcc6354c4fbbb29fb70d01b50c232c18cf1607c932a842c1a94bacf0","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T19:22:50Z","title_canon_sha256":"ac7535a85e8a0dd2280df5515d66f95935ae1c77ef4dca81ce349b7be8a58d92"},"schema_version":"1.0","source":{"id":"2605.20427","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20427","created_at":"2026-05-21T01:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20427v1","created_at":"2026-05-21T01:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20427","created_at":"2026-05-21T01:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"V22FQNRB5ERQ","created_at":"2026-05-21T01:04:37Z"},{"alias_kind":"pith_short_16","alias_value":"V22FQNRB5ERQTFJY","created_at":"2026-05-21T01:04:37Z"},{"alias_kind":"pith_short_8","alias_value":"V22FQNRB","created_at":"2026-05-21T01:04:37Z"}],"graph_snapshots":[{"event_id":"sha256:208254784c87239d4f789a573962f915ae7810a0bae5c61044d97838245e6706","target":"graph","created_at":"2026-05-21T01:04:37Z","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/2605.20427/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The conformal anomaly has well-known ambiguities related to the possible schemes of regularization and renormalization. In case of dimensional regularization, one of the options is to formulate the theory as conformal in the dimension $D \\neq 4$. For a gauge vector field this can be done in several ways and one of the options is to introduce an auxiliary scalar playing the role of a compensator. The advantage of this approach is that it preserves gauge symmetry and avoids problems with possible violation of unitarity. We explore the consequences of introducing such an auxiliary field for the a","authors_text":"Ilya L. Shapiro, P\\'ublio Rwany B. R. do Vale, Samuel W. P. Oliveira","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T19:22:50Z","title":"Conformal anomaly in a vector field model with auxiliary scalar field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20427","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":"sha256:6213fba4a92fd44d1515d055db5ebf50afb323e8b8ec28d3305d81cd04eff81d","target":"record","created_at":"2026-05-21T01:04:37Z","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":"284ec6c2bcc6354c4fbbb29fb70d01b50c232c18cf1607c932a842c1a94bacf0","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-05-19T19:22:50Z","title_canon_sha256":"ac7535a85e8a0dd2280df5515d66f95935ae1c77ef4dca81ce349b7be8a58d92"},"schema_version":"1.0","source":{"id":"2605.20427","kind":"arxiv","version":1}},"canonical_sha256":"aeb4583621e9230995386c78d222b830117bc0247b07180d22e4b461fb2912b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aeb4583621e9230995386c78d222b830117bc0247b07180d22e4b461fb2912b3","first_computed_at":"2026-05-21T01:04:37.510027Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:04:37.510027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+mi3iWmxPtjhF1GcZBowb8gmKUFJTK2xddu4gFAweNP9Rba+SPxOkhN84Rei3OaUzxeCd55ayCQWAAaWDyceBA==","signature_status":"signed_v1","signed_at":"2026-05-21T01:04:37.510561Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.20427","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6213fba4a92fd44d1515d055db5ebf50afb323e8b8ec28d3305d81cd04eff81d","sha256:208254784c87239d4f789a573962f915ae7810a0bae5c61044d97838245e6706"],"state_sha256":"10d1a010d70d8ec7be6a99c8aa493deb481eebab89d9ca173a6323bb49514d47"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WaWJtmq4KxYMhHV8h3R+X4ZzUEmVk1gX8OLFdwGIx5IEWHqeTsqeWchyLvsmeQt8LZHXwXorHd7+o6k4JZP5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T04:33:07.663560Z","bundle_sha256":"1c0d42771495c698a8cc15403158b9bebba09b75e9cd53f17328de2b8b675645"}}