{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CPY7DPXO7YURVGFZ5YIBYVAZX6","short_pith_number":"pith:CPY7DPXO","canonical_record":{"source":{"id":"1106.4086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2011-06-21T04:37:02Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"35088c14ecf07815ec7e4ae5153d7dc2c600d29dda1b14ec762cbe036cac78ff","abstract_canon_sha256":"3bc7a99e836b1af1c9da829b22f4fa9f8e7e3c08e63b56ef9d851bfac224e96b"},"schema_version":"1.0"},"canonical_sha256":"13f1f1beeefe291a98b9ee101c5419bfb0c1058e11f25070a1028179c835ef0c","source":{"kind":"arxiv","id":"1106.4086","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4086","created_at":"2026-05-18T02:01:34Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4086v1","created_at":"2026-05-18T02:01:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4086","created_at":"2026-05-18T02:01:34Z"},{"alias_kind":"pith_short_12","alias_value":"CPY7DPXO7YUR","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CPY7DPXO7YURVGFZ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CPY7DPXO","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CPY7DPXO7YURVGFZ5YIBYVAZX6","target":"record","payload":{"canonical_record":{"source":{"id":"1106.4086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2011-06-21T04:37:02Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"35088c14ecf07815ec7e4ae5153d7dc2c600d29dda1b14ec762cbe036cac78ff","abstract_canon_sha256":"3bc7a99e836b1af1c9da829b22f4fa9f8e7e3c08e63b56ef9d851bfac224e96b"},"schema_version":"1.0"},"canonical_sha256":"13f1f1beeefe291a98b9ee101c5419bfb0c1058e11f25070a1028179c835ef0c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:34.270600Z","signature_b64":"FkhCa+HdMi2efy1Chu33fsxSLdzaS78tWm3acEKrO77lhGqv+hPKlk1sImSg02uNtnbK+Hkyk9uLvjms9+foBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13f1f1beeefe291a98b9ee101c5419bfb0c1058e11f25070a1028179c835ef0c","last_reissued_at":"2026-05-18T02:01:34.269836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:34.269836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.4086","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":"2026-05-18T02:01:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z7tPrpfH9Vyfxdp0vVGmUydDQXFqWLWqxUBVGGcFXaTNrMRLlpsEYOf/ChM85vvDtKZYydzRgmVNids9Hfh5Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:04:29.046589Z"},"content_sha256":"5f2d5fea4fec45030f6967defdb93760eb561d02d20bcde0e81e2db335c231af","schema_version":"1.0","event_id":"sha256:5f2d5fea4fec45030f6967defdb93760eb561d02d20bcde0e81e2db335c231af"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CPY7DPXO7YURVGFZ5YIBYVAZX6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Euclidean formulation of relativistic quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"nucl-th","authors_text":"Philip Kopp, Wayne Polyzou","submitted_at":"2011-06-21T04:37:02Z","abstract_excerpt":"In this paper we discuss a formulation of relativistic quantum mechanics that uses Euclidean Green functions or generating functionals as input. This formalism has a close relation to quantum field theory, but as a theory of linear operators on a Hilbert space, it has many of the advantages of quantum mechanics. One interesting feature of this approach is that matrix elements of operators in normalizable states on the physical Hilbert space can be calculated directly using the Euclidean Green functions without performing an analytic continuation. The formalism is summarized in this paper. We d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4086","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":""},"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":"2026-05-18T02:01:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uXZQzuyjuR32MTHoWKTGL5GREvGzvl7zaU+5ZmYLXy1O76oSfmiwCJ6ybFkdiuAP/SdllCZV5dQjdCaHQdh0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T15:04:29.047245Z"},"content_sha256":"452e99194c9b7e01367b84f758a1732298bb5a799855b8257086fb2ffd153ac8","schema_version":"1.0","event_id":"sha256:452e99194c9b7e01367b84f758a1732298bb5a799855b8257086fb2ffd153ac8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CPY7DPXO7YURVGFZ5YIBYVAZX6/bundle.json","state_url":"https://pith.science/pith/CPY7DPXO7YURVGFZ5YIBYVAZX6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CPY7DPXO7YURVGFZ5YIBYVAZX6/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":"2026-05-27T15:04:29Z","links":{"resolver":"https://pith.science/pith/CPY7DPXO7YURVGFZ5YIBYVAZX6","bundle":"https://pith.science/pith/CPY7DPXO7YURVGFZ5YIBYVAZX6/bundle.json","state":"https://pith.science/pith/CPY7DPXO7YURVGFZ5YIBYVAZX6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CPY7DPXO7YURVGFZ5YIBYVAZX6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CPY7DPXO7YURVGFZ5YIBYVAZX6","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":"3bc7a99e836b1af1c9da829b22f4fa9f8e7e3c08e63b56ef9d851bfac224e96b","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2011-06-21T04:37:02Z","title_canon_sha256":"35088c14ecf07815ec7e4ae5153d7dc2c600d29dda1b14ec762cbe036cac78ff"},"schema_version":"1.0","source":{"id":"1106.4086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4086","created_at":"2026-05-18T02:01:34Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4086v1","created_at":"2026-05-18T02:01:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4086","created_at":"2026-05-18T02:01:34Z"},{"alias_kind":"pith_short_12","alias_value":"CPY7DPXO7YUR","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CPY7DPXO7YURVGFZ","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CPY7DPXO","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:452e99194c9b7e01367b84f758a1732298bb5a799855b8257086fb2ffd153ac8","target":"graph","created_at":"2026-05-18T02:01:34Z","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":"In this paper we discuss a formulation of relativistic quantum mechanics that uses Euclidean Green functions or generating functionals as input. This formalism has a close relation to quantum field theory, but as a theory of linear operators on a Hilbert space, it has many of the advantages of quantum mechanics. One interesting feature of this approach is that matrix elements of operators in normalizable states on the physical Hilbert space can be calculated directly using the Euclidean Green functions without performing an analytic continuation. The formalism is summarized in this paper. We d","authors_text":"Philip Kopp, Wayne Polyzou","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2011-06-21T04:37:02Z","title":"A Euclidean formulation of relativistic quantum mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4086","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":"sha256:5f2d5fea4fec45030f6967defdb93760eb561d02d20bcde0e81e2db335c231af","target":"record","created_at":"2026-05-18T02:01:34Z","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":"3bc7a99e836b1af1c9da829b22f4fa9f8e7e3c08e63b56ef9d851bfac224e96b","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2011-06-21T04:37:02Z","title_canon_sha256":"35088c14ecf07815ec7e4ae5153d7dc2c600d29dda1b14ec762cbe036cac78ff"},"schema_version":"1.0","source":{"id":"1106.4086","kind":"arxiv","version":1}},"canonical_sha256":"13f1f1beeefe291a98b9ee101c5419bfb0c1058e11f25070a1028179c835ef0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13f1f1beeefe291a98b9ee101c5419bfb0c1058e11f25070a1028179c835ef0c","first_computed_at":"2026-05-18T02:01:34.269836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:34.269836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FkhCa+HdMi2efy1Chu33fsxSLdzaS78tWm3acEKrO77lhGqv+hPKlk1sImSg02uNtnbK+Hkyk9uLvjms9+foBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:34.270600Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f2d5fea4fec45030f6967defdb93760eb561d02d20bcde0e81e2db335c231af","sha256:452e99194c9b7e01367b84f758a1732298bb5a799855b8257086fb2ffd153ac8"],"state_sha256":"6e2f4ee14a0469d36a2b8b473aee48731fe8ff9367236ad3d140c8d0636bcbe8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xIXeaHHCz+efFg5frlakQbWtkpGnAwjiluqigadj1xkOJn/MS49s27F9VkokdQHBb9/rClDgeU1PY//u7qcFAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T15:04:29.050950Z","bundle_sha256":"af892945fc1aa615725cbfe857fa36ec05b354bf2426fd02bea31bb6a8f6f7f7"}}