{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TTNBLYWWWSK7Y4YXET3XDVCGNX","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":"6595f73eeffed5b9b5a1a0195e042c7f592e7e11cf67aaf39fe307552b36d3d1","cross_cats_sorted":["gr-qc","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-23T18:48:01Z","title_canon_sha256":"87dd9e6aa49d4d7ed141838de50455d41ec2de2f8ae168162ae1795d02075849"},"schema_version":"1.0","source":{"id":"1409.6691","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.6691","created_at":"2026-05-18T00:53:10Z"},{"alias_kind":"arxiv_version","alias_value":"1409.6691v3","created_at":"2026-05-18T00:53:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.6691","created_at":"2026-05-18T00:53:10Z"},{"alias_kind":"pith_short_12","alias_value":"TTNBLYWWWSK7","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"TTNBLYWWWSK7Y4YX","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"TTNBLYWW","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:b8e0004cb64281c1dc5e600240ba43596a2191e1e03fd55a032dcfe503e2fb7a","target":"graph","created_at":"2026-05-18T00:53:10Z","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"},"paper":{"abstract_excerpt":"We construct Hadamard states for Klein-Gordon fields in a spacetime $M_{0}$ equal to the interior of the future lightcone $C$ from a base point $p$ in a globally hyperbolic spacetime $(M, g)$. Under some regularity conditions at future infinity of $C$, we identify a boundary symplectic space of functions on $C$, which allows to construct states for Klein-Gordon quantum fields in $M_{0}$ from states on the CCR algebra associated to the boundary symplectic space. We formulate the natural microlocal condition on the boundary state on $C$ ensuring that the bulk state it induces in $M_{0}$ satisfie","authors_text":"Christian G\\'erard, Micha{\\l} Wrochna","cross_cats":["gr-qc","math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-23T18:48:01Z","title":"Construction of Hadamard states by characteristic Cauchy problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.6691","kind":"arxiv","version":3},"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:f84f5cf93c63a59330951002b6e8e668c3d91a970c3c0b4e0824be1385dc314a","target":"record","created_at":"2026-05-18T00:53:10Z","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":"6595f73eeffed5b9b5a1a0195e042c7f592e7e11cf67aaf39fe307552b36d3d1","cross_cats_sorted":["gr-qc","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-09-23T18:48:01Z","title_canon_sha256":"87dd9e6aa49d4d7ed141838de50455d41ec2de2f8ae168162ae1795d02075849"},"schema_version":"1.0","source":{"id":"1409.6691","kind":"arxiv","version":3}},"canonical_sha256":"9cda15e2d6b495fc731724f771d4466dc9415e8be914803cf76e6323c24f8f06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9cda15e2d6b495fc731724f771d4466dc9415e8be914803cf76e6323c24f8f06","first_computed_at":"2026-05-18T00:53:10.942515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:10.942515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QDesDE4DgOA59h6WXdr3cHtmyySvmfaNwymKtNHR2g17LxJM83ZXXRHBdtwEpfavWZmD4aEADDHWIrqT1R68CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:10.943125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.6691","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f84f5cf93c63a59330951002b6e8e668c3d91a970c3c0b4e0824be1385dc314a","sha256:b8e0004cb64281c1dc5e600240ba43596a2191e1e03fd55a032dcfe503e2fb7a"],"state_sha256":"a9cb5207ea1ba0975e3d510363e1abda6e236d41a9e77e0c4899a5f96968c6fc"}