{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FCVZ6PBJBTOZ7CEHLFWKG3XORY","short_pith_number":"pith:FCVZ6PBJ","canonical_record":{"source":{"id":"1712.03341","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-12-09T05:22:09Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"57d5e049ae4348460eb98bc22332cf01dc4eb80678640004a5fca921053e3513","abstract_canon_sha256":"0602bc9c087045fd5064544024b988f16f51e798a3087f8e51d1b43bbb6cf6d9"},"schema_version":"1.0"},"canonical_sha256":"28ab9f3c290cdd9f8887596ca36eee8e0e4596471a75eeac4c9a31681097c945","source":{"kind":"arxiv","id":"1712.03341","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03341","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03341v2","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03341","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"pith_short_12","alias_value":"FCVZ6PBJBTOZ","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FCVZ6PBJBTOZ7CEH","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FCVZ6PBJ","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FCVZ6PBJBTOZ7CEHLFWKG3XORY","target":"record","payload":{"canonical_record":{"source":{"id":"1712.03341","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-12-09T05:22:09Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"57d5e049ae4348460eb98bc22332cf01dc4eb80678640004a5fca921053e3513","abstract_canon_sha256":"0602bc9c087045fd5064544024b988f16f51e798a3087f8e51d1b43bbb6cf6d9"},"schema_version":"1.0"},"canonical_sha256":"28ab9f3c290cdd9f8887596ca36eee8e0e4596471a75eeac4c9a31681097c945","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:46.805092Z","signature_b64":"48N9CWsIteoQpDYqilEXeEjCFfOu+cT3frkq1vBgGf1//AJb4OqN3EeMndOokK+3bd59OU3bk2CsKmq2jqMCDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28ab9f3c290cdd9f8887596ca36eee8e0e4596471a75eeac4c9a31681097c945","last_reissued_at":"2026-05-18T00:14:46.804490Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:46.804490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.03341","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:14:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MSxQD/iRms7xSWY1YSjXrOIyIdOmA7ypjvAbWybEXuBRQZ3PYCQx9eNTsqAA2rdTswgGlmilVs45F1MN6Ml2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:52:39.543921Z"},"content_sha256":"201137fd502e15f232481e0ccff5d5a78c8b45a180247428af36ae40be16c1f5","schema_version":"1.0","event_id":"sha256:201137fd502e15f232481e0ccff5d5a78c8b45a180247428af36ae40be16c1f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FCVZ6PBJBTOZ7CEHLFWKG3XORY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic reconstructions of spectral functions: Application to lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-lat","authors_text":"Hai-Tao Shu, Heng-Tong Ding, Hiroshi Ohno, Olaf Kaczmarek, Swagato Mukherjee","submitted_at":"2017-12-09T05:22:09Z","abstract_excerpt":"We present a detailed study of the applications of two stochastic approaches, stochastic optimization method (SOM) and stochastic analytical inference (SAI), to extract spectral functions from Euclidean correlation functions. SOM has the advantage that it does not require prior information. On the other hand, SAI is a more generalized method based on Bayesian inference. Under mean field approximation SAI reduces to the often-used maximum entropy method (MEM), and for a specific choice of the prior SAI becomes equivalent to SOM. To test the applicability of these two stochastic methods to latti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03341","kind":"arxiv","version":2},"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":"2026-05-18T00:14:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yQfwvvMGMDVLtqm0QbcIpGKEPBqkMNxjp0Xjz7fEbG/WYXCbgnGzCFxxG9nESgALK8wTBZKNFLzBFP7VS0FzCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:52:39.544265Z"},"content_sha256":"d6cfaee6c376c3dfd23668c15c2fc35bb85198fff47f2c4ac5014dd92b8e6b37","schema_version":"1.0","event_id":"sha256:d6cfaee6c376c3dfd23668c15c2fc35bb85198fff47f2c4ac5014dd92b8e6b37"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FCVZ6PBJBTOZ7CEHLFWKG3XORY/bundle.json","state_url":"https://pith.science/pith/FCVZ6PBJBTOZ7CEHLFWKG3XORY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FCVZ6PBJBTOZ7CEHLFWKG3XORY/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":"2026-06-27T15:52:39Z","links":{"resolver":"https://pith.science/pith/FCVZ6PBJBTOZ7CEHLFWKG3XORY","bundle":"https://pith.science/pith/FCVZ6PBJBTOZ7CEHLFWKG3XORY/bundle.json","state":"https://pith.science/pith/FCVZ6PBJBTOZ7CEHLFWKG3XORY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FCVZ6PBJBTOZ7CEHLFWKG3XORY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FCVZ6PBJBTOZ7CEHLFWKG3XORY","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":"0602bc9c087045fd5064544024b988f16f51e798a3087f8e51d1b43bbb6cf6d9","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-12-09T05:22:09Z","title_canon_sha256":"57d5e049ae4348460eb98bc22332cf01dc4eb80678640004a5fca921053e3513"},"schema_version":"1.0","source":{"id":"1712.03341","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03341","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03341v2","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03341","created_at":"2026-05-18T00:14:46Z"},{"alias_kind":"pith_short_12","alias_value":"FCVZ6PBJBTOZ","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FCVZ6PBJBTOZ7CEH","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FCVZ6PBJ","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:d6cfaee6c376c3dfd23668c15c2fc35bb85198fff47f2c4ac5014dd92b8e6b37","target":"graph","created_at":"2026-05-18T00:14:46Z","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":"We present a detailed study of the applications of two stochastic approaches, stochastic optimization method (SOM) and stochastic analytical inference (SAI), to extract spectral functions from Euclidean correlation functions. SOM has the advantage that it does not require prior information. On the other hand, SAI is a more generalized method based on Bayesian inference. Under mean field approximation SAI reduces to the often-used maximum entropy method (MEM), and for a specific choice of the prior SAI becomes equivalent to SOM. To test the applicability of these two stochastic methods to latti","authors_text":"Hai-Tao Shu, Heng-Tong Ding, Hiroshi Ohno, Olaf Kaczmarek, Swagato Mukherjee","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-12-09T05:22:09Z","title":"Stochastic reconstructions of spectral functions: Application to lattice QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03341","kind":"arxiv","version":2},"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":"sha256:201137fd502e15f232481e0ccff5d5a78c8b45a180247428af36ae40be16c1f5","target":"record","created_at":"2026-05-18T00:14:46Z","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":"0602bc9c087045fd5064544024b988f16f51e798a3087f8e51d1b43bbb6cf6d9","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2017-12-09T05:22:09Z","title_canon_sha256":"57d5e049ae4348460eb98bc22332cf01dc4eb80678640004a5fca921053e3513"},"schema_version":"1.0","source":{"id":"1712.03341","kind":"arxiv","version":2}},"canonical_sha256":"28ab9f3c290cdd9f8887596ca36eee8e0e4596471a75eeac4c9a31681097c945","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28ab9f3c290cdd9f8887596ca36eee8e0e4596471a75eeac4c9a31681097c945","first_computed_at":"2026-05-18T00:14:46.804490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:46.804490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"48N9CWsIteoQpDYqilEXeEjCFfOu+cT3frkq1vBgGf1//AJb4OqN3EeMndOokK+3bd59OU3bk2CsKmq2jqMCDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:46.805092Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.03341","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:201137fd502e15f232481e0ccff5d5a78c8b45a180247428af36ae40be16c1f5","sha256:d6cfaee6c376c3dfd23668c15c2fc35bb85198fff47f2c4ac5014dd92b8e6b37"],"state_sha256":"aae5be8109aa0b1a015b59b496a372bb3345d2c1fa92d7f50031eb32ca0cf025"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nsk6RDmJExUUbTqCIvg8+vPHfmnme+5UDNTxcgMPVm6QH/OgCkdZPGAlXdAgQDlOlWb/tnpeHiqHPYaMcsaTAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T15:52:39.546157Z","bundle_sha256":"97a282fc948349683dc99650cf77915899fbc0d6b422aeac10251834c2a6e698"}}