{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:Q5QXEPVJUKB5TUPCJXBRUQ7TBJ","short_pith_number":"pith:Q5QXEPVJ","canonical_record":{"source":{"id":"1606.03882","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-13T10:18:17Z","cross_cats_sorted":["gr-qc","math.MP"],"title_canon_sha256":"8789b20359c22c351fab3eeb369448b54406e1dd7fa9507591dda1a149da5d68","abstract_canon_sha256":"62a0c1866c78334be95787fb562b115e171678bbe2cfa0d93be42b5e68476c09"},"schema_version":"1.0"},"canonical_sha256":"8761723ea9a283d9d1e24dc31a43f30a6c39d40ecc3ee36a20b77cfc3d9f7a1e","source":{"kind":"arxiv","id":"1606.03882","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03882","created_at":"2026-05-18T00:44:33Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03882v3","created_at":"2026-05-18T00:44:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03882","created_at":"2026-05-18T00:44:33Z"},{"alias_kind":"pith_short_12","alias_value":"Q5QXEPVJUKB5","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q5QXEPVJUKB5TUPC","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q5QXEPVJ","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:Q5QXEPVJUKB5TUPCJXBRUQ7TBJ","target":"record","payload":{"canonical_record":{"source":{"id":"1606.03882","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-13T10:18:17Z","cross_cats_sorted":["gr-qc","math.MP"],"title_canon_sha256":"8789b20359c22c351fab3eeb369448b54406e1dd7fa9507591dda1a149da5d68","abstract_canon_sha256":"62a0c1866c78334be95787fb562b115e171678bbe2cfa0d93be42b5e68476c09"},"schema_version":"1.0"},"canonical_sha256":"8761723ea9a283d9d1e24dc31a43f30a6c39d40ecc3ee36a20b77cfc3d9f7a1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:33.802303Z","signature_b64":"K+EQf9FLaVV9ZZWhPVX7MELGBcDfpdJiD/RTEGyVE5XW2C/O/hbg5E+zxhuI3AjuKpLrkAHPUr8tyA5Z2o9tBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8761723ea9a283d9d1e24dc31a43f30a6c39d40ecc3ee36a20b77cfc3d9f7a1e","last_reissued_at":"2026-05-18T00:44:33.801922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:33.801922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.03882","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mmq8wiVoGdw3Gzuco8eaq0+yyc5XW4VkQBX+AVBScl7aUnz2rBxLMUJi8Ju35dv48AQD/91dxn2eGKKswVj/DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:59:07.359033Z"},"content_sha256":"10a5101a7ca91651388d023139ebfd96d50913e3b2adcd05264e1712fc4339b3","schema_version":"1.0","event_id":"sha256:10a5101a7ca91651388d023139ebfd96d50913e3b2adcd05264e1712fc4339b3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:Q5QXEPVJUKB5TUPCJXBRUQ7TBJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Fermionic Signature Operator and Quantum States in Rindler Space-Time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.MP"],"primary_cat":"math-ph","authors_text":"Christian R\\\"oken, Felix Finster, Simone Murro","submitted_at":"2016-06-13T10:18:17Z","abstract_excerpt":"The fermionic signature operator is constructed in Rindler space-time. It is shown to be an unbounded self-adjoint operator on the Hilbert space of solutions of the massive Dirac equation. In two-dimensional Rindler space-time, we prove that the resulting fermionic projector state coincides with the Fulling-Rindler vacuum. Moreover, the fermionic signature operator gives a covariant construction of general thermal states, in particular of the Unruh state. The fermionic signature operator is shown to be well-defined in asymptotically Rindler space-times. In four-dimensional Rindler space-time, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03882","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tcBsW3nvK0Btv3YkJdsUQIfgzZOCkOYuNmtJ7z8Sr9EN0PWEVrxLqlcbqvD9u8EALmHWiUdUdYlGwrL1wjorBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:59:07.359394Z"},"content_sha256":"c5c7e6a47ffaee0f9661ec1a67a4e9d23bf4ff5a0bfd157ffabca75de845f92a","schema_version":"1.0","event_id":"sha256:c5c7e6a47ffaee0f9661ec1a67a4e9d23bf4ff5a0bfd157ffabca75de845f92a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5QXEPVJUKB5TUPCJXBRUQ7TBJ/bundle.json","state_url":"https://pith.science/pith/Q5QXEPVJUKB5TUPCJXBRUQ7TBJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5QXEPVJUKB5TUPCJXBRUQ7TBJ/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":"2026-07-02T20:59:07Z","links":{"resolver":"https://pith.science/pith/Q5QXEPVJUKB5TUPCJXBRUQ7TBJ","bundle":"https://pith.science/pith/Q5QXEPVJUKB5TUPCJXBRUQ7TBJ/bundle.json","state":"https://pith.science/pith/Q5QXEPVJUKB5TUPCJXBRUQ7TBJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5QXEPVJUKB5TUPCJXBRUQ7TBJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Q5QXEPVJUKB5TUPCJXBRUQ7TBJ","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":"62a0c1866c78334be95787fb562b115e171678bbe2cfa0d93be42b5e68476c09","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-13T10:18:17Z","title_canon_sha256":"8789b20359c22c351fab3eeb369448b54406e1dd7fa9507591dda1a149da5d68"},"schema_version":"1.0","source":{"id":"1606.03882","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03882","created_at":"2026-05-18T00:44:33Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03882v3","created_at":"2026-05-18T00:44:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03882","created_at":"2026-05-18T00:44:33Z"},{"alias_kind":"pith_short_12","alias_value":"Q5QXEPVJUKB5","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q5QXEPVJUKB5TUPC","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q5QXEPVJ","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:c5c7e6a47ffaee0f9661ec1a67a4e9d23bf4ff5a0bfd157ffabca75de845f92a","target":"graph","created_at":"2026-05-18T00:44:33Z","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":"The fermionic signature operator is constructed in Rindler space-time. It is shown to be an unbounded self-adjoint operator on the Hilbert space of solutions of the massive Dirac equation. In two-dimensional Rindler space-time, we prove that the resulting fermionic projector state coincides with the Fulling-Rindler vacuum. Moreover, the fermionic signature operator gives a covariant construction of general thermal states, in particular of the Unruh state. The fermionic signature operator is shown to be well-defined in asymptotically Rindler space-times. In four-dimensional Rindler space-time, ","authors_text":"Christian R\\\"oken, Felix Finster, Simone Murro","cross_cats":["gr-qc","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-13T10:18:17Z","title":"The Fermionic Signature Operator and Quantum States in Rindler Space-Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03882","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":"sha256:10a5101a7ca91651388d023139ebfd96d50913e3b2adcd05264e1712fc4339b3","target":"record","created_at":"2026-05-18T00:44:33Z","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":"62a0c1866c78334be95787fb562b115e171678bbe2cfa0d93be42b5e68476c09","cross_cats_sorted":["gr-qc","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-13T10:18:17Z","title_canon_sha256":"8789b20359c22c351fab3eeb369448b54406e1dd7fa9507591dda1a149da5d68"},"schema_version":"1.0","source":{"id":"1606.03882","kind":"arxiv","version":3}},"canonical_sha256":"8761723ea9a283d9d1e24dc31a43f30a6c39d40ecc3ee36a20b77cfc3d9f7a1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8761723ea9a283d9d1e24dc31a43f30a6c39d40ecc3ee36a20b77cfc3d9f7a1e","first_computed_at":"2026-05-18T00:44:33.801922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:33.801922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K+EQf9FLaVV9ZZWhPVX7MELGBcDfpdJiD/RTEGyVE5XW2C/O/hbg5E+zxhuI3AjuKpLrkAHPUr8tyA5Z2o9tBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:33.802303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.03882","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10a5101a7ca91651388d023139ebfd96d50913e3b2adcd05264e1712fc4339b3","sha256:c5c7e6a47ffaee0f9661ec1a67a4e9d23bf4ff5a0bfd157ffabca75de845f92a"],"state_sha256":"b90bddf749a9e0398097063f4daccf0c9c3cf0f77996d6c80734f8c79cd6951d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OjYc9mcFNrWtq0+HbhhSm64IVS0jc5XwqtnXmA3habYeWqKZAgQEn4+OX/lQINm0w0aIY+wteo0rl7x0AIfGCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T20:59:07.361498Z","bundle_sha256":"04b00415aed7727ca346f1b0c9ed6332cd8aa44b90456e5419f920e0e6509ebf"}}