{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:H2FFL75LRXQIH4V4BKZ6QDEALJ","short_pith_number":"pith:H2FFL75L","schema_version":"1.0","canonical_sha256":"3e8a55ffab8de083f2bc0ab3e80c805a58d7d54f6e1a664bd8a71e6b3f6236bb","source":{"kind":"arxiv","id":"1506.09122","version":3},"attestation_state":"computed","paper":{"title":"Constructing Hadamard states via an extended M{\\o}ller operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Claudio Dappiaggi, Nicol\\`o Drago","submitted_at":"2015-06-30T15:38:08Z","abstract_excerpt":"We consider real scalar field theories whose dynamics is ruled by normally hyperbolic operators differing only by a smooth potential $V$. By means of an extension of the standard definition of M{\\o}ller operator, we construct an isomorphism between the associated spaces of smooth solutions and between the associated algebras of observables. On the one hand such isomorphism is non-canonical since it depends on the choice of a smooth time-dependant cut-off function. On the other hand, given any quasi-free Hadamard state for a theory with a given $V$, such isomorphism allows for the construction "},"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":"1506.09122","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-30T15:38:08Z","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"title_canon_sha256":"213ebc678559ac08920928d32b9cc0e7e4e2ffb6a7ce03473813a81a85a4c577","abstract_canon_sha256":"6eedd25ec992b996056da98586a1cbeebc3559d14d4f99bfab6f26f4ef4ccd25"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:56.940617Z","signature_b64":"vUird9IiPRIzak+SBR+gWa228/FzgkFukzfc1gbBlQNep+niqug+b/nqSvddpJAHR6Y1lBfzsH0Vr/IAaH0WBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e8a55ffab8de083f2bc0ab3e80c805a58d7d54f6e1a664bd8a71e6b3f6236bb","last_reissued_at":"2026-05-18T01:02:56.940158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:56.940158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constructing Hadamard states via an extended M{\\o}ller operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Claudio Dappiaggi, Nicol\\`o Drago","submitted_at":"2015-06-30T15:38:08Z","abstract_excerpt":"We consider real scalar field theories whose dynamics is ruled by normally hyperbolic operators differing only by a smooth potential $V$. By means of an extension of the standard definition of M{\\o}ller operator, we construct an isomorphism between the associated spaces of smooth solutions and between the associated algebras of observables. On the one hand such isomorphism is non-canonical since it depends on the choice of a smooth time-dependant cut-off function. On the other hand, given any quasi-free Hadamard state for a theory with a given $V$, such isomorphism allows for the construction "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.09122","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":""},"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":"1506.09122","created_at":"2026-05-18T01:02:56.940236+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.09122v3","created_at":"2026-05-18T01:02:56.940236+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.09122","created_at":"2026-05-18T01:02:56.940236+00:00"},{"alias_kind":"pith_short_12","alias_value":"H2FFL75LRXQI","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_16","alias_value":"H2FFL75LRXQIH4V4","created_at":"2026-05-18T12:29:22.688609+00:00"},{"alias_kind":"pith_short_8","alias_value":"H2FFL75L","created_at":"2026-05-18T12:29:22.688609+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/H2FFL75LRXQIH4V4BKZ6QDEALJ","json":"https://pith.science/pith/H2FFL75LRXQIH4V4BKZ6QDEALJ.json","graph_json":"https://pith.science/api/pith-number/H2FFL75LRXQIH4V4BKZ6QDEALJ/graph.json","events_json":"https://pith.science/api/pith-number/H2FFL75LRXQIH4V4BKZ6QDEALJ/events.json","paper":"https://pith.science/paper/H2FFL75L"},"agent_actions":{"view_html":"https://pith.science/pith/H2FFL75LRXQIH4V4BKZ6QDEALJ","download_json":"https://pith.science/pith/H2FFL75LRXQIH4V4BKZ6QDEALJ.json","view_paper":"https://pith.science/paper/H2FFL75L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.09122&json=true","fetch_graph":"https://pith.science/api/pith-number/H2FFL75LRXQIH4V4BKZ6QDEALJ/graph.json","fetch_events":"https://pith.science/api/pith-number/H2FFL75LRXQIH4V4BKZ6QDEALJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H2FFL75LRXQIH4V4BKZ6QDEALJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H2FFL75LRXQIH4V4BKZ6QDEALJ/action/storage_attestation","attest_author":"https://pith.science/pith/H2FFL75LRXQIH4V4BKZ6QDEALJ/action/author_attestation","sign_citation":"https://pith.science/pith/H2FFL75LRXQIH4V4BKZ6QDEALJ/action/citation_signature","submit_replication":"https://pith.science/pith/H2FFL75LRXQIH4V4BKZ6QDEALJ/action/replication_record"}},"created_at":"2026-05-18T01:02:56.940236+00:00","updated_at":"2026-05-18T01:02:56.940236+00:00"}