{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MYNAPYUE74RSXDRHEN6EDLVOZ3","short_pith_number":"pith:MYNAPYUE","schema_version":"1.0","canonical_sha256":"661a07e284ff232b8e27237c41aeaeced2aafb8b39a02f9186d9336957ce43fe","source":{"kind":"arxiv","id":"1403.7153","version":4},"attestation_state":"computed","paper":{"title":"Hadamard states for the linearized Yang-Mills equation on curved spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Christian G\\'erard (LM-Orsay), Michal Wrochna (LM-Orsay)","submitted_at":"2014-03-27T18:03:10Z","abstract_excerpt":"We construct Hadamard states for the Yang-Mills equation linearized around a smooth, space-compact background solution. We assume the spacetime is globally hyperbolic and its Cauchy surface is compact or equal $\\rr^d$. We first consider the case when the spacetime is ultra-static, but the background solution depends on time. By methods of pseudodifferential calculus we construct a parametrix for the associated vectorial Klein-Gordon equation. We then obtain Hadamard two-point functions in the gauge theory, acting on Cauchy data. A key role is played by classes of pseudodifferential operators t"},"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":"1403.7153","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-27T18:03:10Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"c52d3125030b4a01eeb4a7b29576bc76e09a8704afe4e4f26749e862977c4822","abstract_canon_sha256":"adbbdd4543a34c7bba83113bf687c7e0f819f49ebb1994c51ccd2246fb2ee971"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:42.872489Z","signature_b64":"4eLGWSFSsjV8cwr9Yjp3Bp5ueab6fUdvRNEWhh4uKpOnn2gl1zu5o657S+aenRMM2AcGigTEo+tzf/ll4kUGDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"661a07e284ff232b8e27237c41aeaeced2aafb8b39a02f9186d9336957ce43fe","last_reissued_at":"2026-05-18T00:49:42.871870Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:42.871870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hadamard states for the linearized Yang-Mills equation on curved spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Christian G\\'erard (LM-Orsay), Michal Wrochna (LM-Orsay)","submitted_at":"2014-03-27T18:03:10Z","abstract_excerpt":"We construct Hadamard states for the Yang-Mills equation linearized around a smooth, space-compact background solution. We assume the spacetime is globally hyperbolic and its Cauchy surface is compact or equal $\\rr^d$. We first consider the case when the spacetime is ultra-static, but the background solution depends on time. By methods of pseudodifferential calculus we construct a parametrix for the associated vectorial Klein-Gordon equation. We then obtain Hadamard two-point functions in the gauge theory, acting on Cauchy data. A key role is played by classes of pseudodifferential operators t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7153","kind":"arxiv","version":4},"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":"1403.7153","created_at":"2026-05-18T00:49:42.871995+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.7153v4","created_at":"2026-05-18T00:49:42.871995+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7153","created_at":"2026-05-18T00:49:42.871995+00:00"},{"alias_kind":"pith_short_12","alias_value":"MYNAPYUE74RS","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MYNAPYUE74RSXDRH","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MYNAPYUE","created_at":"2026-05-18T12:28:38.356838+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MYNAPYUE74RSXDRHEN6EDLVOZ3","json":"https://pith.science/pith/MYNAPYUE74RSXDRHEN6EDLVOZ3.json","graph_json":"https://pith.science/api/pith-number/MYNAPYUE74RSXDRHEN6EDLVOZ3/graph.json","events_json":"https://pith.science/api/pith-number/MYNAPYUE74RSXDRHEN6EDLVOZ3/events.json","paper":"https://pith.science/paper/MYNAPYUE"},"agent_actions":{"view_html":"https://pith.science/pith/MYNAPYUE74RSXDRHEN6EDLVOZ3","download_json":"https://pith.science/pith/MYNAPYUE74RSXDRHEN6EDLVOZ3.json","view_paper":"https://pith.science/paper/MYNAPYUE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.7153&json=true","fetch_graph":"https://pith.science/api/pith-number/MYNAPYUE74RSXDRHEN6EDLVOZ3/graph.json","fetch_events":"https://pith.science/api/pith-number/MYNAPYUE74RSXDRHEN6EDLVOZ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MYNAPYUE74RSXDRHEN6EDLVOZ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MYNAPYUE74RSXDRHEN6EDLVOZ3/action/storage_attestation","attest_author":"https://pith.science/pith/MYNAPYUE74RSXDRHEN6EDLVOZ3/action/author_attestation","sign_citation":"https://pith.science/pith/MYNAPYUE74RSXDRHEN6EDLVOZ3/action/citation_signature","submit_replication":"https://pith.science/pith/MYNAPYUE74RSXDRHEN6EDLVOZ3/action/replication_record"}},"created_at":"2026-05-18T00:49:42.871995+00:00","updated_at":"2026-05-18T00:49:42.871995+00:00"}