{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VSNWAXSQ4EMCDABVACB2Q2VQ47","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":"d572b6c4c894706411888a07c6ed51e542ec09777042e2aedcca995ea1ef6fae","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-02T20:47:25Z","title_canon_sha256":"f189005cdab165002674c8cd9bafc7993636b31d9f82069295108acf9829308d"},"schema_version":"1.0","source":{"id":"2412.01963","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.01963","created_at":"2026-07-05T09:43:41Z"},{"alias_kind":"arxiv_version","alias_value":"2412.01963v1","created_at":"2026-07-05T09:43:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01963","created_at":"2026-07-05T09:43:41Z"},{"alias_kind":"pith_short_12","alias_value":"VSNWAXSQ4EMC","created_at":"2026-07-05T09:43:41Z"},{"alias_kind":"pith_short_16","alias_value":"VSNWAXSQ4EMCDABV","created_at":"2026-07-05T09:43:41Z"},{"alias_kind":"pith_short_8","alias_value":"VSNWAXSQ","created_at":"2026-07-05T09:43:41Z"}],"graph_snapshots":[{"event_id":"sha256:30e3facc80f46a1382c11334f549531227f98f2ed78b5f90922e620390b427d3","target":"graph","created_at":"2026-07-05T09:43:41Z","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/2412.01963/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The adiabatic regularization method is likely the most direct and intuitive renormalization scheme for FLRW cosmologies. The method requires one to start with a nonvanishing mass, but massless theories can be studied by taking the massless limit at the end of the calculations. For spin-$1$, however, this limit changes the number of degrees of freedom, so it cannot be performed directly. In this work, we show a direct approach that begins with the canonical quantization of the physical degrees of freedom of a massive Proca field. We give the details of the construction and show that, in the mas","authors_text":"F. Javier Mara\\~n\\'on-Gonz\\'alez, Jos\\'e Navarro-Salas","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-02T20:47:25Z","title":"Adiabatic regularization for massive and massless spin-$1$ fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.01963","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":"sha256:652fc3afda6b83b2c7dae9931069ba0593efcfaacc9873bcf7f8e6e4d031c106","target":"record","created_at":"2026-07-05T09:43:41Z","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":"d572b6c4c894706411888a07c6ed51e542ec09777042e2aedcca995ea1ef6fae","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-12-02T20:47:25Z","title_canon_sha256":"f189005cdab165002674c8cd9bafc7993636b31d9f82069295108acf9829308d"},"schema_version":"1.0","source":{"id":"2412.01963","kind":"arxiv","version":1}},"canonical_sha256":"ac9b605e50e1182180350083a86ab0e7cf08db1ca7224affd4a389ea1e83b879","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac9b605e50e1182180350083a86ab0e7cf08db1ca7224affd4a389ea1e83b879","first_computed_at":"2026-07-05T09:43:41.528438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:43:41.528438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w6KlhEqttfZsnUE1NQ5gLJC46xKRa+S74bSICbQaf1ZqBBHVjMEQ55ZznslUuZitjVVsbbV0F0bEZUSZciv4BA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:43:41.528898Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.01963","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:652fc3afda6b83b2c7dae9931069ba0593efcfaacc9873bcf7f8e6e4d031c106","sha256:30e3facc80f46a1382c11334f549531227f98f2ed78b5f90922e620390b427d3"],"state_sha256":"bc336a504782f1a5359bbeea492c3434f8e5815fc8b537b10f6218380e2b358c"}