{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:M5WBKMUMFHCWLBY3D6IOGCHFFQ","short_pith_number":"pith:M5WBKMUM","canonical_record":{"source":{"id":"2606.19205","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T15:43:01Z","cross_cats_sorted":[],"title_canon_sha256":"7393d47615af55583e47b7794d9b61b29ce6283e1e98a87a91b50995c55e67d9","abstract_canon_sha256":"945f1592c92a153ee9f17059b9a87f68732c6638c3a83303b4cd7ca03daca946"},"schema_version":"1.0"},"canonical_sha256":"676c15328c29c565871b1f90e308e52c07be938005a42e5ba8004852dc89e1e6","source":{"kind":"arxiv","id":"2606.19205","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19205","created_at":"2026-06-19T16:12:07Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19205v1","created_at":"2026-06-19T16:12:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19205","created_at":"2026-06-19T16:12:07Z"},{"alias_kind":"pith_short_12","alias_value":"M5WBKMUMFHCW","created_at":"2026-06-19T16:12:07Z"},{"alias_kind":"pith_short_16","alias_value":"M5WBKMUMFHCWLBY3","created_at":"2026-06-19T16:12:07Z"},{"alias_kind":"pith_short_8","alias_value":"M5WBKMUM","created_at":"2026-06-19T16:12:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:M5WBKMUMFHCWLBY3D6IOGCHFFQ","target":"record","payload":{"canonical_record":{"source":{"id":"2606.19205","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T15:43:01Z","cross_cats_sorted":[],"title_canon_sha256":"7393d47615af55583e47b7794d9b61b29ce6283e1e98a87a91b50995c55e67d9","abstract_canon_sha256":"945f1592c92a153ee9f17059b9a87f68732c6638c3a83303b4cd7ca03daca946"},"schema_version":"1.0"},"canonical_sha256":"676c15328c29c565871b1f90e308e52c07be938005a42e5ba8004852dc89e1e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:07.808958Z","signature_b64":"NWYd/wR5lwfQKODHQRDqLeNMl5jHhKpuXYuB7whibOGfqKPqQ0z6lenAcfbwee1LaOlsAhX9eVIhlyDuzb0JDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"676c15328c29c565871b1f90e308e52c07be938005a42e5ba8004852dc89e1e6","last_reissued_at":"2026-06-19T16:12:07.808632Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:07.808632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.19205","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":"2026-06-19T16:12:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H8K8qCaKvjsYOZ6GUlPtMJq9uerGET4lM0TxF15iU6LzbWYxGJXpw5p9T/VYJzmD89Iv9n9YEsY0CjnZSPFmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:35:22.594643Z"},"content_sha256":"d424ff533d0c1991ae2656d35f65ca8e700a9103230ff49127e7e657a0164090","schema_version":"1.0","event_id":"sha256:d424ff533d0c1991ae2656d35f65ca8e700a9103230ff49127e7e657a0164090"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:M5WBKMUMFHCWLBY3D6IOGCHFFQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discovering a well-conditioned analytic continuation problem via dictionary learning","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Alexander Benedix-Robles, Phil-Alexander Hofmann, Thomas Chuna, Tobias Dornheim","submitted_at":"2026-06-17T15:43:01Z","abstract_excerpt":"Many fields of physics use quantum Monte Carlo (QMC) simulations to simulate quantum systems in imaginary-time $\\tau$ and estimate imaginary-time correlation functions (ITCF). However, extracting dynamic $\\omega$-dependent quantities from ITCFs is a notoriously difficult task, known as analytic continuation (AC), that amounts to solving an exponentially ill-conditioned inverse problem. Within the AC literature, there are competing stochastic and regularized approaches, as well as an emerging collection of works using parameterized models like neural networks. Here we transcend the traditional "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19205","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/2606.19205/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":"2026-06-19T16:12:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vFmsIYCh7a1L5qf0rMJgH5b48z48dylkWYrRgORMm/oJxo7N3gtUZQmsRdnEQJ5Myjro5iZO5WWz7in4JldMDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:35:22.595020Z"},"content_sha256":"2f94f8c94d02cdb35436cbd3fbcdc9c5b3410a7ae12ab36098a17b5b50582e46","schema_version":"1.0","event_id":"sha256:2f94f8c94d02cdb35436cbd3fbcdc9c5b3410a7ae12ab36098a17b5b50582e46"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M5WBKMUMFHCWLBY3D6IOGCHFFQ/bundle.json","state_url":"https://pith.science/pith/M5WBKMUMFHCWLBY3D6IOGCHFFQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M5WBKMUMFHCWLBY3D6IOGCHFFQ/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":"2026-06-26T11:35:22Z","links":{"resolver":"https://pith.science/pith/M5WBKMUMFHCWLBY3D6IOGCHFFQ","bundle":"https://pith.science/pith/M5WBKMUMFHCWLBY3D6IOGCHFFQ/bundle.json","state":"https://pith.science/pith/M5WBKMUMFHCWLBY3D6IOGCHFFQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M5WBKMUMFHCWLBY3D6IOGCHFFQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:M5WBKMUMFHCWLBY3D6IOGCHFFQ","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":"945f1592c92a153ee9f17059b9a87f68732c6638c3a83303b4cd7ca03daca946","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T15:43:01Z","title_canon_sha256":"7393d47615af55583e47b7794d9b61b29ce6283e1e98a87a91b50995c55e67d9"},"schema_version":"1.0","source":{"id":"2606.19205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19205","created_at":"2026-06-19T16:12:07Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19205v1","created_at":"2026-06-19T16:12:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19205","created_at":"2026-06-19T16:12:07Z"},{"alias_kind":"pith_short_12","alias_value":"M5WBKMUMFHCW","created_at":"2026-06-19T16:12:07Z"},{"alias_kind":"pith_short_16","alias_value":"M5WBKMUMFHCWLBY3","created_at":"2026-06-19T16:12:07Z"},{"alias_kind":"pith_short_8","alias_value":"M5WBKMUM","created_at":"2026-06-19T16:12:07Z"}],"graph_snapshots":[{"event_id":"sha256:2f94f8c94d02cdb35436cbd3fbcdc9c5b3410a7ae12ab36098a17b5b50582e46","target":"graph","created_at":"2026-06-19T16:12:07Z","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/2606.19205/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many fields of physics use quantum Monte Carlo (QMC) simulations to simulate quantum systems in imaginary-time $\\tau$ and estimate imaginary-time correlation functions (ITCF). However, extracting dynamic $\\omega$-dependent quantities from ITCFs is a notoriously difficult task, known as analytic continuation (AC), that amounts to solving an exponentially ill-conditioned inverse problem. Within the AC literature, there are competing stochastic and regularized approaches, as well as an emerging collection of works using parameterized models like neural networks. Here we transcend the traditional ","authors_text":"Alexander Benedix-Robles, Phil-Alexander Hofmann, Thomas Chuna, Tobias Dornheim","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T15:43:01Z","title":"Discovering a well-conditioned analytic continuation problem via dictionary learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19205","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:d424ff533d0c1991ae2656d35f65ca8e700a9103230ff49127e7e657a0164090","target":"record","created_at":"2026-06-19T16:12:07Z","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":"945f1592c92a153ee9f17059b9a87f68732c6638c3a83303b4cd7ca03daca946","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-06-17T15:43:01Z","title_canon_sha256":"7393d47615af55583e47b7794d9b61b29ce6283e1e98a87a91b50995c55e67d9"},"schema_version":"1.0","source":{"id":"2606.19205","kind":"arxiv","version":1}},"canonical_sha256":"676c15328c29c565871b1f90e308e52c07be938005a42e5ba8004852dc89e1e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"676c15328c29c565871b1f90e308e52c07be938005a42e5ba8004852dc89e1e6","first_computed_at":"2026-06-19T16:12:07.808632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:07.808632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NWYd/wR5lwfQKODHQRDqLeNMl5jHhKpuXYuB7whibOGfqKPqQ0z6lenAcfbwee1LaOlsAhX9eVIhlyDuzb0JDw==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:07.808958Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.19205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d424ff533d0c1991ae2656d35f65ca8e700a9103230ff49127e7e657a0164090","sha256:2f94f8c94d02cdb35436cbd3fbcdc9c5b3410a7ae12ab36098a17b5b50582e46"],"state_sha256":"24846dfa832e96ed57870ad2dd0fbf59c3c869625551972680a26013403dada6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cab9VL8qrljR3ECrvWJgKqZCJrjhtR0+A518pHip9Omev4cq1m0uKOyhrMDpjWMg5XkIJvMJh0d/+UPbfBkkBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T11:35:22.597621Z","bundle_sha256":"2f913d07b0bd54b05d31c3c3fa7aedbe1884dd2a1807687fbc1c781d93f4aa89"}}