{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:Y6PTQ3WT4RKVGI4CV37IMHSP3C","short_pith_number":"pith:Y6PTQ3WT","canonical_record":{"source":{"id":"1905.08710","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-21T15:47:18Z","cross_cats_sorted":[],"title_canon_sha256":"925d13741af8daf5af589cf227b21a3b1752a3f896fc76d51f6be6ce0a4e0075","abstract_canon_sha256":"feb8b2f4f815576d4ede898e10c58cd82dcac2260cf877566cbfc052fd9ce385"},"schema_version":"1.0"},"canonical_sha256":"c79f386ed3e455532382aefe861e4fd8bc96014c360ab9dfedc3378a28b3926d","source":{"kind":"arxiv","id":"1905.08710","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.08710","created_at":"2026-05-17T23:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1905.08710v1","created_at":"2026-05-17T23:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.08710","created_at":"2026-05-17T23:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"Y6PTQ3WT4RKV","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"Y6PTQ3WT4RKVGI4C","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"Y6PTQ3WT","created_at":"2026-05-18T12:33:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:Y6PTQ3WT4RKVGI4CV37IMHSP3C","target":"record","payload":{"canonical_record":{"source":{"id":"1905.08710","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-21T15:47:18Z","cross_cats_sorted":[],"title_canon_sha256":"925d13741af8daf5af589cf227b21a3b1752a3f896fc76d51f6be6ce0a4e0075","abstract_canon_sha256":"feb8b2f4f815576d4ede898e10c58cd82dcac2260cf877566cbfc052fd9ce385"},"schema_version":"1.0"},"canonical_sha256":"c79f386ed3e455532382aefe861e4fd8bc96014c360ab9dfedc3378a28b3926d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:53.790810Z","signature_b64":"jM9hasCl579feBlyw6vvI2sEuPd8MsTPimu6nUH+5BC6gJHcxPB9U4OyzAx4VMZn9Suf/zasac7mx3OBbMDZAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c79f386ed3e455532382aefe861e4fd8bc96014c360ab9dfedc3378a28b3926d","last_reissued_at":"2026-05-17T23:39:53.790292Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:53.790292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.08710","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":"2026-05-17T23:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+c3bq9EAbk1z2cOl3frx9fxp7de0pLj78OMXbyGBRip5yIGfDBhI741VJK+odzKoQItPHK2dF3oa4afYnEDpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T04:07:44.407144Z"},"content_sha256":"91f725cd7d2913a6d6dc95a40fd668eb2a4ee93c48886f118d892bf13a992ef3","schema_version":"1.0","event_id":"sha256:91f725cd7d2913a6d6dc95a40fd668eb2a4ee93c48886f118d892bf13a992ef3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:Y6PTQ3WT4RKVGI4CV37IMHSP3C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quark propagator in Minkowski space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C. S. R. Costa, E. L. Solis, G. Krein, V. V. Luiz","submitted_at":"2019-05-21T15:47:18Z","abstract_excerpt":"The analytic structure of the quark propagator in Minkowski space is more complex than in Euclidean space due to the possible existence of poles and branch cuts at timelike momenta. These singularities impose enormous complications on the numerical treatment of the nonperturbative Dyson-Schwinger equation for the quark propagator. Here we discuss a computational method that avoids most of these complications. The method makes use of the spectral representation of the propagator and of its inverse. The use of spectral functions allows one to handle in exact manner poles and branch cuts in momen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.08710","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":"2026-05-17T23:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JlaWULBqsqQEMRJN1DButTKIl3exfv2W1oIxEDH6u5UH8gstpwuT0uRLo6hk0erqrGHAz6MSJJxK8bDMOw/1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T04:07:44.407755Z"},"content_sha256":"e15f782c6e51a6b0574a3ee23bce0a03e973be3209533f69b70fb9ed0c4e9093","schema_version":"1.0","event_id":"sha256:e15f782c6e51a6b0574a3ee23bce0a03e973be3209533f69b70fb9ed0c4e9093"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y6PTQ3WT4RKVGI4CV37IMHSP3C/bundle.json","state_url":"https://pith.science/pith/Y6PTQ3WT4RKVGI4CV37IMHSP3C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y6PTQ3WT4RKVGI4CV37IMHSP3C/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":"2026-08-08T04:07:44Z","links":{"resolver":"https://pith.science/pith/Y6PTQ3WT4RKVGI4CV37IMHSP3C","bundle":"https://pith.science/pith/Y6PTQ3WT4RKVGI4CV37IMHSP3C/bundle.json","state":"https://pith.science/pith/Y6PTQ3WT4RKVGI4CV37IMHSP3C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y6PTQ3WT4RKVGI4CV37IMHSP3C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:Y6PTQ3WT4RKVGI4CV37IMHSP3C","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":"feb8b2f4f815576d4ede898e10c58cd82dcac2260cf877566cbfc052fd9ce385","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-21T15:47:18Z","title_canon_sha256":"925d13741af8daf5af589cf227b21a3b1752a3f896fc76d51f6be6ce0a4e0075"},"schema_version":"1.0","source":{"id":"1905.08710","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.08710","created_at":"2026-05-17T23:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1905.08710v1","created_at":"2026-05-17T23:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.08710","created_at":"2026-05-17T23:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"Y6PTQ3WT4RKV","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"Y6PTQ3WT4RKVGI4C","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"Y6PTQ3WT","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:e15f782c6e51a6b0574a3ee23bce0a03e973be3209533f69b70fb9ed0c4e9093","target":"graph","created_at":"2026-05-17T23:39:53Z","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 analytic structure of the quark propagator in Minkowski space is more complex than in Euclidean space due to the possible existence of poles and branch cuts at timelike momenta. These singularities impose enormous complications on the numerical treatment of the nonperturbative Dyson-Schwinger equation for the quark propagator. Here we discuss a computational method that avoids most of these complications. The method makes use of the spectral representation of the propagator and of its inverse. The use of spectral functions allows one to handle in exact manner poles and branch cuts in momen","authors_text":"C. S. R. Costa, E. L. Solis, G. Krein, V. V. Luiz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-21T15:47:18Z","title":"Quark propagator in Minkowski space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.08710","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":"sha256:91f725cd7d2913a6d6dc95a40fd668eb2a4ee93c48886f118d892bf13a992ef3","target":"record","created_at":"2026-05-17T23:39:53Z","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":"feb8b2f4f815576d4ede898e10c58cd82dcac2260cf877566cbfc052fd9ce385","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2019-05-21T15:47:18Z","title_canon_sha256":"925d13741af8daf5af589cf227b21a3b1752a3f896fc76d51f6be6ce0a4e0075"},"schema_version":"1.0","source":{"id":"1905.08710","kind":"arxiv","version":1}},"canonical_sha256":"c79f386ed3e455532382aefe861e4fd8bc96014c360ab9dfedc3378a28b3926d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c79f386ed3e455532382aefe861e4fd8bc96014c360ab9dfedc3378a28b3926d","first_computed_at":"2026-05-17T23:39:53.790292Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:53.790292Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jM9hasCl579feBlyw6vvI2sEuPd8MsTPimu6nUH+5BC6gJHcxPB9U4OyzAx4VMZn9Suf/zasac7mx3OBbMDZAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:53.790810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.08710","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91f725cd7d2913a6d6dc95a40fd668eb2a4ee93c48886f118d892bf13a992ef3","sha256:e15f782c6e51a6b0574a3ee23bce0a03e973be3209533f69b70fb9ed0c4e9093"],"state_sha256":"ca303e57cf26e69a775c4615a51b73140ef9dfe0e2b4feaba305a3040271be81"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v0wkM9y/Ff2cvY2YT1V6ezD+pQaa633xXP2x5dveQycoc1KesRb2KhyWf00C/ehBjBg1dTGQqnLSOjS2z88RCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T04:07:44.412650Z","bundle_sha256":"19d4d58bda8642a72bfdd8d22a948e68128bf0c2326ca90587f022ec961a43df"}}