{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ADTJGHMODJLDCKCSSGAMT6VLUN","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":"144133206e3b2d34cc9668047871cdec228f55634825e53fe291658a811fba34","cross_cats_sorted":["cond-mat.stat-mech","gr-qc","quant-ph"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-15T08:53:05Z","title_canon_sha256":"4bbbc0672473b9d041e6a1c4b6d4f2c74a0430c8767fa3282929bf5939c6128a"},"schema_version":"1.0","source":{"id":"2408.08031","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.08031","created_at":"2026-07-05T12:00:25Z"},{"alias_kind":"arxiv_version","alias_value":"2408.08031v2","created_at":"2026-07-05T12:00:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.08031","created_at":"2026-07-05T12:00:25Z"},{"alias_kind":"pith_short_12","alias_value":"ADTJGHMODJLD","created_at":"2026-07-05T12:00:25Z"},{"alias_kind":"pith_short_16","alias_value":"ADTJGHMODJLDCKCS","created_at":"2026-07-05T12:00:25Z"},{"alias_kind":"pith_short_8","alias_value":"ADTJGHMO","created_at":"2026-07-05T12:00:25Z"}],"graph_snapshots":[{"event_id":"sha256:bdb4dcf66210a761eee5ec8943059011b3e173d25374c45c379fb94e8ed4743a","target":"graph","created_at":"2026-07-05T12:00:25Z","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/2408.08031/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we investigate the spectral projection of density matrices in quantum field theory. With appropriate regularization, the spectral projectors of density matrices are expected to be well-defined. These projectors can be obtained using the Riesz projection formula, which allows us to compute both the density of eigenvalues and the expectation values of local operators in the projected states. We find that there are universal divergent terms in the expectation value of the stress energy tensor, where the coefficients depend universally on the density of eigenvalues and a function th","authors_text":"Wu-zhong Guo","cross_cats":["cond-mat.stat-mech","gr-qc","quant-ph"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-15T08:53:05Z","title":"Spectral Projections for Density Matrices in Quantum Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.08031","kind":"arxiv","version":2},"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":"sha256:9a891eb9818d4df38b8ca052757f25c5279b2fd6d6d703f0bd48d81f643deb6a","target":"record","created_at":"2026-07-05T12:00:25Z","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":"144133206e3b2d34cc9668047871cdec228f55634825e53fe291658a811fba34","cross_cats_sorted":["cond-mat.stat-mech","gr-qc","quant-ph"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2024-08-15T08:53:05Z","title_canon_sha256":"4bbbc0672473b9d041e6a1c4b6d4f2c74a0430c8767fa3282929bf5939c6128a"},"schema_version":"1.0","source":{"id":"2408.08031","kind":"arxiv","version":2}},"canonical_sha256":"00e6931d8e1a563128529180c9faaba36694737d5406101b5fc859dbeb8e56de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00e6931d8e1a563128529180c9faaba36694737d5406101b5fc859dbeb8e56de","first_computed_at":"2026-07-05T12:00:25.805571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:00:25.805571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZNGDPl8/M2/wpQnHilB7t9rggSXJT+AWn8aIhgTWlNk+09O3wAucPVy3K30RKZQggH/kpvAJJi5QghYu4dRYBg==","signature_status":"signed_v1","signed_at":"2026-07-05T12:00:25.806149Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.08031","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a891eb9818d4df38b8ca052757f25c5279b2fd6d6d703f0bd48d81f643deb6a","sha256:bdb4dcf66210a761eee5ec8943059011b3e173d25374c45c379fb94e8ed4743a"],"state_sha256":"f178ad426d25db51959d01c46a77ec48ba2c15bdb009a471d0adc59f8eae997b"}