{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:5ABRQJJJEBEQVR5JNOSRMRTEJJ","short_pith_number":"pith:5ABRQJJJ","schema_version":"1.0","canonical_sha256":"e80318252920490ac7a96ba51646644a59fa09fe7fc26440fc25b474c6081970","source":{"kind":"arxiv","id":"1305.3421","version":2},"attestation_state":"computed","paper":{"title":"Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincar\\'e patch of de Sitter space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Atsushi Higuchi, Markus B. Fr\\\"ob","submitted_at":"2013-05-15T10:31:04Z","abstract_excerpt":"We perform canonical quantization of the Stueckelberg Lagrangian for massive vector fields in the conformally flat patch of de Sitter space in the Bunch-Davies vacuum and find their Wightman two-point functions by the mode-sum method. We discuss the zero-mass limit of these two-point functions and their limits where the Stueckelberg parameter $\\xi$ tends to zero or infinity. It is shown that our results reproduce the standard flat-space propagator in the appropriate limit. We also point out that the classic work of Allen and Jacobson for the two-point function of the Proca field and a recent w"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1305.3421","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-15T10:31:04Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"71c5ef03867f7f5c711684ed4ffb58802cc6de2e8ab747c662d994abce068347","abstract_canon_sha256":"9552b3b8c84022f2e7ad93b721236918a781ffbf7a529d096e4f04de6452a55d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:34.125664Z","signature_b64":"bKBR6XkmT493h6YFpg9Emm9L+pt6W72Y3Eri08Py8zaqWo1AkT57UgGDajk/jCFJ0srgSHIms6cwCV6wmcd4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e80318252920490ac7a96ba51646644a59fa09fe7fc26440fc25b474c6081970","last_reissued_at":"2026-05-18T02:50:34.125050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:34.125050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mode-sum construction of the two-point functions for the Stueckelberg vector fields in the Poincar\\'e patch of de Sitter space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Atsushi Higuchi, Markus B. Fr\\\"ob","submitted_at":"2013-05-15T10:31:04Z","abstract_excerpt":"We perform canonical quantization of the Stueckelberg Lagrangian for massive vector fields in the conformally flat patch of de Sitter space in the Bunch-Davies vacuum and find their Wightman two-point functions by the mode-sum method. We discuss the zero-mass limit of these two-point functions and their limits where the Stueckelberg parameter $\\xi$ tends to zero or infinity. It is shown that our results reproduce the standard flat-space propagator in the appropriate limit. We also point out that the classic work of Allen and Jacobson for the two-point function of the Proca field and a recent w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.3421","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1305.3421","created_at":"2026-05-18T02:50:34.125152+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.3421v2","created_at":"2026-05-18T02:50:34.125152+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.3421","created_at":"2026-05-18T02:50:34.125152+00:00"},{"alias_kind":"pith_short_12","alias_value":"5ABRQJJJEBEQ","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_16","alias_value":"5ABRQJJJEBEQVR5J","created_at":"2026-05-18T12:27:34.582898+00:00"},{"alias_kind":"pith_short_8","alias_value":"5ABRQJJJ","created_at":"2026-05-18T12:27:34.582898+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2510.23770","citing_title":"Bulk-to-bulk photon propagator in AdS","ref_index":40,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5ABRQJJJEBEQVR5JNOSRMRTEJJ","json":"https://pith.science/pith/5ABRQJJJEBEQVR5JNOSRMRTEJJ.json","graph_json":"https://pith.science/api/pith-number/5ABRQJJJEBEQVR5JNOSRMRTEJJ/graph.json","events_json":"https://pith.science/api/pith-number/5ABRQJJJEBEQVR5JNOSRMRTEJJ/events.json","paper":"https://pith.science/paper/5ABRQJJJ"},"agent_actions":{"view_html":"https://pith.science/pith/5ABRQJJJEBEQVR5JNOSRMRTEJJ","download_json":"https://pith.science/pith/5ABRQJJJEBEQVR5JNOSRMRTEJJ.json","view_paper":"https://pith.science/paper/5ABRQJJJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.3421&json=true","fetch_graph":"https://pith.science/api/pith-number/5ABRQJJJEBEQVR5JNOSRMRTEJJ/graph.json","fetch_events":"https://pith.science/api/pith-number/5ABRQJJJEBEQVR5JNOSRMRTEJJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5ABRQJJJEBEQVR5JNOSRMRTEJJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5ABRQJJJEBEQVR5JNOSRMRTEJJ/action/storage_attestation","attest_author":"https://pith.science/pith/5ABRQJJJEBEQVR5JNOSRMRTEJJ/action/author_attestation","sign_citation":"https://pith.science/pith/5ABRQJJJEBEQVR5JNOSRMRTEJJ/action/citation_signature","submit_replication":"https://pith.science/pith/5ABRQJJJEBEQVR5JNOSRMRTEJJ/action/replication_record"}},"created_at":"2026-05-18T02:50:34.125152+00:00","updated_at":"2026-05-18T02:50:34.125152+00:00"}