{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:XRMLXQF4NSTPXM7IUQAYILKOYM","short_pith_number":"pith:XRMLXQF4","canonical_record":{"source":{"id":"0812.4760","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-12-27T19:15:02Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f7bfb275d99a63cfcadaecbd672ecf1d49ab2b0378a2a475e17812d1d2022c2d","abstract_canon_sha256":"dc4460d3b6cc4ffd1b4465c019a8c8732702f5850f5c0e46ca0abe12f7b57b05"},"schema_version":"1.0"},"canonical_sha256":"bc58bbc0bc6ca6fbb3e8a401842d4ec31340de6e7c975d7847f5ea41db12c878","source":{"kind":"arxiv","id":"0812.4760","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.4760","created_at":"2026-07-04T16:01:50Z"},{"alias_kind":"arxiv_version","alias_value":"0812.4760v1","created_at":"2026-07-04T16:01:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.4760","created_at":"2026-07-04T16:01:50Z"},{"alias_kind":"pith_short_12","alias_value":"XRMLXQF4NSTP","created_at":"2026-07-04T16:01:50Z"},{"alias_kind":"pith_short_16","alias_value":"XRMLXQF4NSTPXM7I","created_at":"2026-07-04T16:01:50Z"},{"alias_kind":"pith_short_8","alias_value":"XRMLXQF4","created_at":"2026-07-04T16:01:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:XRMLXQF4NSTPXM7IUQAYILKOYM","target":"record","payload":{"canonical_record":{"source":{"id":"0812.4760","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-12-27T19:15:02Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"f7bfb275d99a63cfcadaecbd672ecf1d49ab2b0378a2a475e17812d1d2022c2d","abstract_canon_sha256":"dc4460d3b6cc4ffd1b4465c019a8c8732702f5850f5c0e46ca0abe12f7b57b05"},"schema_version":"1.0"},"canonical_sha256":"bc58bbc0bc6ca6fbb3e8a401842d4ec31340de6e7c975d7847f5ea41db12c878","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:01:50.390540Z","signature_b64":"1kCgAX9efYqDn74TK2aSgKDEbLdvuNhOJwQZNm4kUZVj0MkxX5f7P6I6+mpm+pbMne3mczUi68jdrLJz0VmJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bc58bbc0bc6ca6fbb3e8a401842d4ec31340de6e7c975d7847f5ea41db12c878","last_reissued_at":"2026-07-04T16:01:50.390141Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:01:50.390141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0812.4760","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:01:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fBnkI5ao6lSgTEBMfx/7gbYImAS0BRxOP8/WytML96temkOgCB58Ek+UGS9XvhLncdJVPbC3ZNW1VzdpWzsWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T19:10:50.592137Z"},"content_sha256":"85c43626aec087595f59a79466aaea5bda8b41896e43e0e69be76983d9d08a5a","schema_version":"1.0","event_id":"sha256:85c43626aec087595f59a79466aaea5bda8b41896e43e0e69be76983d9d08a5a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:XRMLXQF4NSTPXM7IUQAYILKOYM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Inequalities from Operator Product Expansions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Christopher J. Fewster, Henning Bostelmann","submitted_at":"2008-12-27T19:15:02Z","abstract_excerpt":"Quantum inequalities are lower bounds for local averages of quantum observables that have positive classical counterparts, such as the energy density or the Wick square. We establish such inequalities in general (possibly interacting) quantum field theories on Minkowski space, using nonperturbative techniques. Our main tool is a rigorous version of the operator product expansion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.4760","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0812.4760/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:01:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vzNY4YVh+phb9VRMh+nG3CEF5/y5bJS9wIiTmX+8E1+L+/0EJCUL5toa352ep3L90Esv//wcoWgfQU2DPsKQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T19:10:50.593368Z"},"content_sha256":"0d0abe2828f04ab8f087ac84adf62fccc513486601dd030d2c71379a12459702","schema_version":"1.0","event_id":"sha256:0d0abe2828f04ab8f087ac84adf62fccc513486601dd030d2c71379a12459702"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XRMLXQF4NSTPXM7IUQAYILKOYM/bundle.json","state_url":"https://pith.science/pith/XRMLXQF4NSTPXM7IUQAYILKOYM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XRMLXQF4NSTPXM7IUQAYILKOYM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-16T19:10:50Z","links":{"resolver":"https://pith.science/pith/XRMLXQF4NSTPXM7IUQAYILKOYM","bundle":"https://pith.science/pith/XRMLXQF4NSTPXM7IUQAYILKOYM/bundle.json","state":"https://pith.science/pith/XRMLXQF4NSTPXM7IUQAYILKOYM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XRMLXQF4NSTPXM7IUQAYILKOYM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:XRMLXQF4NSTPXM7IUQAYILKOYM","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":"dc4460d3b6cc4ffd1b4465c019a8c8732702f5850f5c0e46ca0abe12f7b57b05","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-12-27T19:15:02Z","title_canon_sha256":"f7bfb275d99a63cfcadaecbd672ecf1d49ab2b0378a2a475e17812d1d2022c2d"},"schema_version":"1.0","source":{"id":"0812.4760","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0812.4760","created_at":"2026-07-04T16:01:50Z"},{"alias_kind":"arxiv_version","alias_value":"0812.4760v1","created_at":"2026-07-04T16:01:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.4760","created_at":"2026-07-04T16:01:50Z"},{"alias_kind":"pith_short_12","alias_value":"XRMLXQF4NSTP","created_at":"2026-07-04T16:01:50Z"},{"alias_kind":"pith_short_16","alias_value":"XRMLXQF4NSTPXM7I","created_at":"2026-07-04T16:01:50Z"},{"alias_kind":"pith_short_8","alias_value":"XRMLXQF4","created_at":"2026-07-04T16:01:50Z"}],"graph_snapshots":[{"event_id":"sha256:0d0abe2828f04ab8f087ac84adf62fccc513486601dd030d2c71379a12459702","target":"graph","created_at":"2026-07-04T16:01:50Z","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/0812.4760/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum inequalities are lower bounds for local averages of quantum observables that have positive classical counterparts, such as the energy density or the Wick square. We establish such inequalities in general (possibly interacting) quantum field theories on Minkowski space, using nonperturbative techniques. Our main tool is a rigorous version of the operator product expansion.","authors_text":"Christopher J. Fewster, Henning Bostelmann","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-12-27T19:15:02Z","title":"Quantum Inequalities from Operator Product Expansions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.4760","kind":"arxiv","version":1},"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":"sha256:85c43626aec087595f59a79466aaea5bda8b41896e43e0e69be76983d9d08a5a","target":"record","created_at":"2026-07-04T16:01:50Z","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":"dc4460d3b6cc4ffd1b4465c019a8c8732702f5850f5c0e46ca0abe12f7b57b05","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2008-12-27T19:15:02Z","title_canon_sha256":"f7bfb275d99a63cfcadaecbd672ecf1d49ab2b0378a2a475e17812d1d2022c2d"},"schema_version":"1.0","source":{"id":"0812.4760","kind":"arxiv","version":1}},"canonical_sha256":"bc58bbc0bc6ca6fbb3e8a401842d4ec31340de6e7c975d7847f5ea41db12c878","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bc58bbc0bc6ca6fbb3e8a401842d4ec31340de6e7c975d7847f5ea41db12c878","first_computed_at":"2026-07-04T16:01:50.390141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:01:50.390141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1kCgAX9efYqDn74TK2aSgKDEbLdvuNhOJwQZNm4kUZVj0MkxX5f7P6I6+mpm+pbMne3mczUi68jdrLJz0VmJDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:01:50.390540Z","signed_message":"canonical_sha256_bytes"},"source_id":"0812.4760","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85c43626aec087595f59a79466aaea5bda8b41896e43e0e69be76983d9d08a5a","sha256:0d0abe2828f04ab8f087ac84adf62fccc513486601dd030d2c71379a12459702"],"state_sha256":"394832c1bb0c7f467df4f59fd7c6f77859969d12f79a709ff187e9f2bece518b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4heuK+pm7En1Mrq+NhNeSXAGIuvF8l+9L0FREvuLvLGY2xULuL+el/qdRQogRzDErFIBEI6hun61eQN/KKZAAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T19:10:50.602729Z","bundle_sha256":"306263e9e9daf2ac78d5c91269aef2b9346db693d2cabb59885c42722a47a4a6"}}