{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SV5T4VTWJON2JORORBX3TIIKL7","short_pith_number":"pith:SV5T4VTW","canonical_record":{"source":{"id":"1205.0752","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-03T16:14:10Z","cross_cats_sorted":["hep-th","physics.comp-ph"],"title_canon_sha256":"30cd76c0d2b7a121d3531e947d1e9c0de83477bcf589b7a200256803d97613c7","abstract_canon_sha256":"0b443af35cca0264bdfedc8ce8850c142d19b331bd0a81db4d981717d6fb5357"},"schema_version":"1.0"},"canonical_sha256":"957b3e56764b9ba4ba2e886fb9a10a5fd55b875fc9e0863cbed3890867adcb36","source":{"kind":"arxiv","id":"1205.0752","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0752","created_at":"2026-05-18T03:36:26Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0752v1","created_at":"2026-05-18T03:36:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0752","created_at":"2026-05-18T03:36:26Z"},{"alias_kind":"pith_short_12","alias_value":"SV5T4VTWJON2","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"SV5T4VTWJON2JORO","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"SV5T4VTW","created_at":"2026-05-18T12:27:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SV5T4VTWJON2JORORBX3TIIKL7","target":"record","payload":{"canonical_record":{"source":{"id":"1205.0752","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-03T16:14:10Z","cross_cats_sorted":["hep-th","physics.comp-ph"],"title_canon_sha256":"30cd76c0d2b7a121d3531e947d1e9c0de83477bcf589b7a200256803d97613c7","abstract_canon_sha256":"0b443af35cca0264bdfedc8ce8850c142d19b331bd0a81db4d981717d6fb5357"},"schema_version":"1.0"},"canonical_sha256":"957b3e56764b9ba4ba2e886fb9a10a5fd55b875fc9e0863cbed3890867adcb36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:26.872671Z","signature_b64":"7ZJN2Bdlmuou4d7Q5UpGzLFe3vTM0075RLqSgW250AVU97wb3omka1AMAZNIQ2+C1fPztz5JXDuUN4A4QfcsBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"957b3e56764b9ba4ba2e886fb9a10a5fd55b875fc9e0863cbed3890867adcb36","last_reissued_at":"2026-05-18T03:36:26.872280Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:26.872280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.0752","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":"2026-05-18T03:36:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3PTEIn7PpNCnQtVorwglRbOSJvPXSD7Qxm7ntrOwkJoY+yvfuWRiX+7DwAW89DBBww8HxFIItHiVk/RAKDfsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:45:30.926267Z"},"content_sha256":"680146b4a5199c7099467b1d9d0a7ee9cff087353af5e970246c99180391c3a3","schema_version":"1.0","event_id":"sha256:680146b4a5199c7099467b1d9d0a7ee9cff087353af5e970246c99180391c3a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SV5T4VTWJON2JORORBX3TIIKL7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Examining the Analytic Structure of Green's Functions: Massive Parallel Complex Integration using GPUs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","physics.comp-ph"],"primary_cat":"hep-ph","authors_text":"Andreas Windisch, Gundolf Haase, Manfred Liebmann, Reinhard Alkofer","submitted_at":"2012-05-03T16:14:10Z","abstract_excerpt":"Graphics Processing Units (GPUs) are employed for a numerical determination of the analytic structure of two-point correlation functions of Quantum Field Theories. These functions are represented through integrals in d-dimensional Euclidean momentum space. Such integrals can in general not be solved analytically, and therefore one has to rely on numerical procedures to extract their analytic structures if needed. After describing the general outline of the corresponding algorithm we demonstrate the procedure by providing a completely worked-out example in four dimensions for which an exact sol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0752","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":"2026-05-18T03:36:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KtkBKTXFN/Ly3bnACX1Po6+BSeyY7dLAvDD0lAVnfnkDzMZm9w6vzfi6xAXLzY8Bj1BbkKuXSPO0QlS7sNpUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:45:30.926994Z"},"content_sha256":"4a46e4e701b93e1bd518bc677df0472b52c0d444eb06a72df93e87540c7e383e","schema_version":"1.0","event_id":"sha256:4a46e4e701b93e1bd518bc677df0472b52c0d444eb06a72df93e87540c7e383e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SV5T4VTWJON2JORORBX3TIIKL7/bundle.json","state_url":"https://pith.science/pith/SV5T4VTWJON2JORORBX3TIIKL7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SV5T4VTWJON2JORORBX3TIIKL7/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":"2026-05-27T14:45:30Z","links":{"resolver":"https://pith.science/pith/SV5T4VTWJON2JORORBX3TIIKL7","bundle":"https://pith.science/pith/SV5T4VTWJON2JORORBX3TIIKL7/bundle.json","state":"https://pith.science/pith/SV5T4VTWJON2JORORBX3TIIKL7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SV5T4VTWJON2JORORBX3TIIKL7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SV5T4VTWJON2JORORBX3TIIKL7","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":"0b443af35cca0264bdfedc8ce8850c142d19b331bd0a81db4d981717d6fb5357","cross_cats_sorted":["hep-th","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-03T16:14:10Z","title_canon_sha256":"30cd76c0d2b7a121d3531e947d1e9c0de83477bcf589b7a200256803d97613c7"},"schema_version":"1.0","source":{"id":"1205.0752","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0752","created_at":"2026-05-18T03:36:26Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0752v1","created_at":"2026-05-18T03:36:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0752","created_at":"2026-05-18T03:36:26Z"},{"alias_kind":"pith_short_12","alias_value":"SV5T4VTWJON2","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"SV5T4VTWJON2JORO","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"SV5T4VTW","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:4a46e4e701b93e1bd518bc677df0472b52c0d444eb06a72df93e87540c7e383e","target":"graph","created_at":"2026-05-18T03:36:26Z","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":"Graphics Processing Units (GPUs) are employed for a numerical determination of the analytic structure of two-point correlation functions of Quantum Field Theories. These functions are represented through integrals in d-dimensional Euclidean momentum space. Such integrals can in general not be solved analytically, and therefore one has to rely on numerical procedures to extract their analytic structures if needed. After describing the general outline of the corresponding algorithm we demonstrate the procedure by providing a completely worked-out example in four dimensions for which an exact sol","authors_text":"Andreas Windisch, Gundolf Haase, Manfred Liebmann, Reinhard Alkofer","cross_cats":["hep-th","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-03T16:14:10Z","title":"Examining the Analytic Structure of Green's Functions: Massive Parallel Complex Integration using GPUs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0752","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":"sha256:680146b4a5199c7099467b1d9d0a7ee9cff087353af5e970246c99180391c3a3","target":"record","created_at":"2026-05-18T03:36:26Z","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":"0b443af35cca0264bdfedc8ce8850c142d19b331bd0a81db4d981717d6fb5357","cross_cats_sorted":["hep-th","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-05-03T16:14:10Z","title_canon_sha256":"30cd76c0d2b7a121d3531e947d1e9c0de83477bcf589b7a200256803d97613c7"},"schema_version":"1.0","source":{"id":"1205.0752","kind":"arxiv","version":1}},"canonical_sha256":"957b3e56764b9ba4ba2e886fb9a10a5fd55b875fc9e0863cbed3890867adcb36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"957b3e56764b9ba4ba2e886fb9a10a5fd55b875fc9e0863cbed3890867adcb36","first_computed_at":"2026-05-18T03:36:26.872280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:26.872280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7ZJN2Bdlmuou4d7Q5UpGzLFe3vTM0075RLqSgW250AVU97wb3omka1AMAZNIQ2+C1fPztz5JXDuUN4A4QfcsBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:26.872671Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0752","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:680146b4a5199c7099467b1d9d0a7ee9cff087353af5e970246c99180391c3a3","sha256:4a46e4e701b93e1bd518bc677df0472b52c0d444eb06a72df93e87540c7e383e"],"state_sha256":"c3302841950b1e709c4b67373cfb08c7b8d240399c76dc463098d6c919feabc3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7GMlIwcGUdtV9dQfn9XN4S3YkTxgdr1YXQ9p34RLCikot3rNZ2ONwiKnYuHS275Cmm/3fq9MXa+QmMdT6AZRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T14:45:30.930760Z","bundle_sha256":"bb92fda5c8cafd9c5e59917171a753609e912db8983c0b8d9c08d9810d525340"}}