{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:QASUPQ6A2PW3XOJW2XVWB2HQ54","short_pith_number":"pith:QASUPQ6A","canonical_record":{"source":{"id":"2210.04187","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-10-09T06:39:13Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"3a09fbbc6312634a61e0b7df59c3d4ede523c3d094b1750eb7ba21e0e7a55741","abstract_canon_sha256":"31b8c39706b5deae592fb20bde85058bdb6c1be93cf9cd4af9fe00f72406abf7"},"schema_version":"1.0"},"canonical_sha256":"802547c3c0d3edbbb936d5eb60e8f0ef1713797887a97839a362c8fcbc450a8f","source":{"kind":"arxiv","id":"2210.04187","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.04187","created_at":"2026-07-05T05:48:39Z"},{"alias_kind":"arxiv_version","alias_value":"2210.04187v1","created_at":"2026-07-05T05:48:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.04187","created_at":"2026-07-05T05:48:39Z"},{"alias_kind":"pith_short_12","alias_value":"QASUPQ6A2PW3","created_at":"2026-07-05T05:48:39Z"},{"alias_kind":"pith_short_16","alias_value":"QASUPQ6A2PW3XOJW","created_at":"2026-07-05T05:48:39Z"},{"alias_kind":"pith_short_8","alias_value":"QASUPQ6A","created_at":"2026-07-05T05:48:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:QASUPQ6A2PW3XOJW2XVWB2HQ54","target":"record","payload":{"canonical_record":{"source":{"id":"2210.04187","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-10-09T06:39:13Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"3a09fbbc6312634a61e0b7df59c3d4ede523c3d094b1750eb7ba21e0e7a55741","abstract_canon_sha256":"31b8c39706b5deae592fb20bde85058bdb6c1be93cf9cd4af9fe00f72406abf7"},"schema_version":"1.0"},"canonical_sha256":"802547c3c0d3edbbb936d5eb60e8f0ef1713797887a97839a362c8fcbc450a8f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:48:39.988989Z","signature_b64":"XuaoWmNGJRW9vIGkVQgs8fLX9+EC4EkP8lvx+dfs0MUvk/wmHaneKM4aTadd5smWwrELyMBK7IWq1Z4+Ye/7DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"802547c3c0d3edbbb936d5eb60e8f0ef1713797887a97839a362c8fcbc450a8f","last_reissued_at":"2026-07-05T05:48:39.988564Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:48:39.988564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.04187","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":"2026-07-05T05:48:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XJQaIvtMJrCN809vFlaW5y5Kq2HDPhHX/GYwIzZhk4p/tgxtHYUio06KX/ob2qmfUeHWD61f0hvUhuPfjqsiDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T16:52:09.498683Z"},"content_sha256":"b1babf952739ac64fe1b3ecaa65c99fef2bfa28a87a0938c22c0e2a25d82558b","schema_version":"1.0","event_id":"sha256:b1babf952739ac64fe1b3ecaa65c99fef2bfa28a87a0938c22c0e2a25d82558b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:QASUPQ6A2PW3XOJW2XVWB2HQ54","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust analytic continuation of Green's functions via projection, pole estimation, and semidefinite relaxation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Emanuel Gull, Lin Lin, Zhen Huang","submitted_at":"2022-10-09T06:39:13Z","abstract_excerpt":"Green's functions of fermions are described by matrix-valued Herglotz-Nevanlinna functions. Since analytic continuation is fundamentally an ill-posed problem, the causal space described by the matrix-valued Herglotz-Nevanlinna structure can be instrumental in improving the accuracy and in enhancing the robustness with respect to noise. We demonstrate a three-pronged procedure for robust analytic continuation called PES: (1) Projection of data to the causal space. (2) Estimation of pole locations. (3) Semidefinite relaxation within the causal space. We compare the performance of PES with the re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.04187","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.04187/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:48:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/F/WKLoGjyLnpjC/wBoF9glF/GjjYJigAL7JDvhlSfDSxYc2z/dYxXcIKBlpTWopMzzdTO4M0Lo4jcpD9fxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T16:52:09.499016Z"},"content_sha256":"1b4a887f4145f823c13a6822c69e72d4af637f6259c235a85bb0db22f85c02d6","schema_version":"1.0","event_id":"sha256:1b4a887f4145f823c13a6822c69e72d4af637f6259c235a85bb0db22f85c02d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QASUPQ6A2PW3XOJW2XVWB2HQ54/bundle.json","state_url":"https://pith.science/pith/QASUPQ6A2PW3XOJW2XVWB2HQ54/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QASUPQ6A2PW3XOJW2XVWB2HQ54/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":"2026-08-11T16:52:09Z","links":{"resolver":"https://pith.science/pith/QASUPQ6A2PW3XOJW2XVWB2HQ54","bundle":"https://pith.science/pith/QASUPQ6A2PW3XOJW2XVWB2HQ54/bundle.json","state":"https://pith.science/pith/QASUPQ6A2PW3XOJW2XVWB2HQ54/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QASUPQ6A2PW3XOJW2XVWB2HQ54/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:QASUPQ6A2PW3XOJW2XVWB2HQ54","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":"31b8c39706b5deae592fb20bde85058bdb6c1be93cf9cd4af9fe00f72406abf7","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-10-09T06:39:13Z","title_canon_sha256":"3a09fbbc6312634a61e0b7df59c3d4ede523c3d094b1750eb7ba21e0e7a55741"},"schema_version":"1.0","source":{"id":"2210.04187","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.04187","created_at":"2026-07-05T05:48:39Z"},{"alias_kind":"arxiv_version","alias_value":"2210.04187v1","created_at":"2026-07-05T05:48:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.04187","created_at":"2026-07-05T05:48:39Z"},{"alias_kind":"pith_short_12","alias_value":"QASUPQ6A2PW3","created_at":"2026-07-05T05:48:39Z"},{"alias_kind":"pith_short_16","alias_value":"QASUPQ6A2PW3XOJW","created_at":"2026-07-05T05:48:39Z"},{"alias_kind":"pith_short_8","alias_value":"QASUPQ6A","created_at":"2026-07-05T05:48:39Z"}],"graph_snapshots":[{"event_id":"sha256:1b4a887f4145f823c13a6822c69e72d4af637f6259c235a85bb0db22f85c02d6","target":"graph","created_at":"2026-07-05T05:48:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.04187/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Green's functions of fermions are described by matrix-valued Herglotz-Nevanlinna functions. Since analytic continuation is fundamentally an ill-posed problem, the causal space described by the matrix-valued Herglotz-Nevanlinna structure can be instrumental in improving the accuracy and in enhancing the robustness with respect to noise. We demonstrate a three-pronged procedure for robust analytic continuation called PES: (1) Projection of data to the causal space. (2) Estimation of pole locations. (3) Semidefinite relaxation within the causal space. We compare the performance of PES with the re","authors_text":"Emanuel Gull, Lin Lin, Zhen Huang","cross_cats":["physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-10-09T06:39:13Z","title":"Robust analytic continuation of Green's functions via projection, pole estimation, and semidefinite relaxation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.04187","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:b1babf952739ac64fe1b3ecaa65c99fef2bfa28a87a0938c22c0e2a25d82558b","target":"record","created_at":"2026-07-05T05:48:39Z","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":"31b8c39706b5deae592fb20bde85058bdb6c1be93cf9cd4af9fe00f72406abf7","cross_cats_sorted":["physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2022-10-09T06:39:13Z","title_canon_sha256":"3a09fbbc6312634a61e0b7df59c3d4ede523c3d094b1750eb7ba21e0e7a55741"},"schema_version":"1.0","source":{"id":"2210.04187","kind":"arxiv","version":1}},"canonical_sha256":"802547c3c0d3edbbb936d5eb60e8f0ef1713797887a97839a362c8fcbc450a8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"802547c3c0d3edbbb936d5eb60e8f0ef1713797887a97839a362c8fcbc450a8f","first_computed_at":"2026-07-05T05:48:39.988564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:48:39.988564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XuaoWmNGJRW9vIGkVQgs8fLX9+EC4EkP8lvx+dfs0MUvk/wmHaneKM4aTadd5smWwrELyMBK7IWq1Z4+Ye/7DA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:48:39.988989Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.04187","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1babf952739ac64fe1b3ecaa65c99fef2bfa28a87a0938c22c0e2a25d82558b","sha256:1b4a887f4145f823c13a6822c69e72d4af637f6259c235a85bb0db22f85c02d6"],"state_sha256":"e722c1380c65e92f6076a4fefd0cc1783fe0c79d9fc2a14096e03773da5dd0a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z11lBzntB37XEVpU+e/w2mSOn2G/uy40PO/riIfOElHLC2GWNoZFhOfMRkZeCKzXzUUo3n/9U7u4OSjcL62rBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T16:52:09.501448Z","bundle_sha256":"d4e3acdbc0ab1010749450e1696c11bf6f8afbbc5b0e78390be66773c03a43dc"}}