{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:RDUUS3DQVLBGDO35PWVHOEN7AJ","short_pith_number":"pith:RDUUS3DQ","schema_version":"1.0","canonical_sha256":"88e9496c70aac261bb7d7daa7711bf027467dacce11ef95dc222db0b1c798ed3","source":{"kind":"arxiv","id":"2411.14981","version":2},"attestation_state":"computed","paper":{"title":"On the equivalence of Prony and Lanczos methods for Euclidean correlation functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Aniket Sen, Carsten Urbach, Johann Ostmeyer","submitted_at":"2024-11-22T14:40:17Z","abstract_excerpt":"We investigate the oblique Lanczos method recently put forward in arXiv:2406.20009 for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not aleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2411.14981","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-11-22T14:40:17Z","cross_cats_sorted":[],"title_canon_sha256":"f9c0a606165f278c1b6a9331923a02eacd0580fa85c076d8a9b16862cecb04bd","abstract_canon_sha256":"7d355e8fb2e900a63c95c63c96195c6241ce506c1106699806ff65f19d8743da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:21:26.462989Z","signature_b64":"qNu0hMn2aSDMHeUYcf8nCvjzz4GudxrebBaVCdg9WaS754/StdlcPB29RtjIGwtBdq1bn76FdyWJuxWCbQg8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88e9496c70aac261bb7d7daa7711bf027467dacce11ef95dc222db0b1c798ed3","last_reissued_at":"2026-07-05T10:21:26.462424Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:21:26.462424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the equivalence of Prony and Lanczos methods for Euclidean correlation functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Aniket Sen, Carsten Urbach, Johann Ostmeyer","submitted_at":"2024-11-22T14:40:17Z","abstract_excerpt":"We investigate the oblique Lanczos method recently put forward in arXiv:2406.20009 for analysing Euclidean correlators in lattice field theories and show that it is analytically equivalent to the well known Prony Generalised Eigenvalue Method (PGEVM). Moreover, we discuss that the signal-to-noise problem is not aleviated by either of these two methods. Still, both methods show clear advantages when compared to the standard effective mass approach."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.14981","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.14981/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2411.14981","created_at":"2026-07-05T10:21:26.462489+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.14981v2","created_at":"2026-07-05T10:21:26.462489+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.14981","created_at":"2026-07-05T10:21:26.462489+00:00"},{"alias_kind":"pith_short_12","alias_value":"RDUUS3DQVLBG","created_at":"2026-07-05T10:21:26.462489+00:00"},{"alias_kind":"pith_short_16","alias_value":"RDUUS3DQVLBGDO35","created_at":"2026-07-05T10:21:26.462489+00:00"},{"alias_kind":"pith_short_8","alias_value":"RDUUS3DQ","created_at":"2026-07-05T10:21:26.462489+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2511.05058","citing_title":"Unbiased Krylov subspace method for the extraction of ground state from lattice correlators","ref_index":12,"is_internal_anchor":false},{"citing_arxiv_id":"2601.18354","citing_title":"Chiral Properties of $(2\\!+\\!1)$-Flavor QCD in Magnetic Fields at Zero Temperature","ref_index":85,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20509","citing_title":"The Causal Bootstrap: Bounding Smeared Spectral Functions from Non-Perturbative Euclidean Data","ref_index":66,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RDUUS3DQVLBGDO35PWVHOEN7AJ","json":"https://pith.science/pith/RDUUS3DQVLBGDO35PWVHOEN7AJ.json","graph_json":"https://pith.science/api/pith-number/RDUUS3DQVLBGDO35PWVHOEN7AJ/graph.json","events_json":"https://pith.science/api/pith-number/RDUUS3DQVLBGDO35PWVHOEN7AJ/events.json","paper":"https://pith.science/paper/RDUUS3DQ"},"agent_actions":{"view_html":"https://pith.science/pith/RDUUS3DQVLBGDO35PWVHOEN7AJ","download_json":"https://pith.science/pith/RDUUS3DQVLBGDO35PWVHOEN7AJ.json","view_paper":"https://pith.science/paper/RDUUS3DQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.14981&json=true","fetch_graph":"https://pith.science/api/pith-number/RDUUS3DQVLBGDO35PWVHOEN7AJ/graph.json","fetch_events":"https://pith.science/api/pith-number/RDUUS3DQVLBGDO35PWVHOEN7AJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RDUUS3DQVLBGDO35PWVHOEN7AJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RDUUS3DQVLBGDO35PWVHOEN7AJ/action/storage_attestation","attest_author":"https://pith.science/pith/RDUUS3DQVLBGDO35PWVHOEN7AJ/action/author_attestation","sign_citation":"https://pith.science/pith/RDUUS3DQVLBGDO35PWVHOEN7AJ/action/citation_signature","submit_replication":"https://pith.science/pith/RDUUS3DQVLBGDO35PWVHOEN7AJ/action/replication_record"}},"created_at":"2026-07-05T10:21:26.462489+00:00","updated_at":"2026-07-05T10:21:26.462489+00:00"}