{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:7BISSL2ZQBFVNDJO6JUZIM2PUV","short_pith_number":"pith:7BISSL2Z","schema_version":"1.0","canonical_sha256":"f851292f59804b568d2ef26994334fa56b593c50c4dfe204b5d724615934204b","source":{"kind":"arxiv","id":"2608.08862","version":1},"attestation_state":"computed","paper":{"title":"Chemical Potential and Analytic Continuation for Non-Hermitian Lattice Fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Chen-Te Ma, Hui Zhang","submitted_at":"2026-08-09T18:57:11Z","abstract_excerpt":"We introduce a chemical potential for non-Hermitian lattice fermions and show that, for even flavors with degenerate masses and paired chemical potentials $(\\mu,-\\mu)$ or $(i\\mu,i\\mu)$, the Hybrid Monte Carlo algorithm is free of the sign problem. For one-dimensional free fermions, we demonstrate that the sign problem is a numerical rather than physical obstruction and derive the exact propagator, which is analytic at finite lattice spacing away from its poles but becomes non-analytic in the continuum limit. Finally, we use AI-assisted fitting to perform analytic continuation from imaginary to"},"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":"2608.08862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2026-08-09T18:57:11Z","cross_cats_sorted":[],"title_canon_sha256":"79ae68a956390cab8051271673f51ce4ea2e81621bdb5a3ef3e5d5a67ad45c0a","abstract_canon_sha256":"90f2dd22b9c611108e13b03eb78a4fba8dedbc2caf0ba422e0714fd30434e327"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T01:25:33.530897Z","signature_b64":"XImZSqMFM7/lNlpASZ511eHco4DW8BwwdVGChcwj/C9kpwMwJUAPSVAnvOU5Ud7thDcjePAIDRouZpi61qT8BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f851292f59804b568d2ef26994334fa56b593c50c4dfe204b5d724615934204b","last_reissued_at":"2026-08-11T01:25:33.528348Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T01:25:33.528348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chemical Potential and Analytic Continuation for Non-Hermitian Lattice Fermions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Chen-Te Ma, Hui Zhang","submitted_at":"2026-08-09T18:57:11Z","abstract_excerpt":"We introduce a chemical potential for non-Hermitian lattice fermions and show that, for even flavors with degenerate masses and paired chemical potentials $(\\mu,-\\mu)$ or $(i\\mu,i\\mu)$, the Hybrid Monte Carlo algorithm is free of the sign problem. For one-dimensional free fermions, we demonstrate that the sign problem is a numerical rather than physical obstruction and derive the exact propagator, which is analytic at finite lattice spacing away from its poles but becomes non-analytic in the continuum limit. Finally, we use AI-assisted fitting to perform analytic continuation from imaginary to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.08862","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/2608.08862/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":"2608.08862","created_at":"2026-08-11T01:25:33.529311+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.08862v1","created_at":"2026-08-11T01:25:33.529311+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.08862","created_at":"2026-08-11T01:25:33.529311+00:00"},{"alias_kind":"pith_short_12","alias_value":"7BISSL2ZQBFV","created_at":"2026-08-11T01:25:33.529311+00:00"},{"alias_kind":"pith_short_16","alias_value":"7BISSL2ZQBFVNDJO","created_at":"2026-08-11T01:25:33.529311+00:00"},{"alias_kind":"pith_short_8","alias_value":"7BISSL2Z","created_at":"2026-08-11T01:25:33.529311+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7BISSL2ZQBFVNDJO6JUZIM2PUV","json":"https://pith.science/pith/7BISSL2ZQBFVNDJO6JUZIM2PUV.json","graph_json":"https://pith.science/api/pith-number/7BISSL2ZQBFVNDJO6JUZIM2PUV/graph.json","events_json":"https://pith.science/api/pith-number/7BISSL2ZQBFVNDJO6JUZIM2PUV/events.json","paper":"https://pith.science/paper/7BISSL2Z"},"agent_actions":{"view_html":"https://pith.science/pith/7BISSL2ZQBFVNDJO6JUZIM2PUV","download_json":"https://pith.science/pith/7BISSL2ZQBFVNDJO6JUZIM2PUV.json","view_paper":"https://pith.science/paper/7BISSL2Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.08862&json=true","fetch_graph":"https://pith.science/api/pith-number/7BISSL2ZQBFVNDJO6JUZIM2PUV/graph.json","fetch_events":"https://pith.science/api/pith-number/7BISSL2ZQBFVNDJO6JUZIM2PUV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7BISSL2ZQBFVNDJO6JUZIM2PUV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7BISSL2ZQBFVNDJO6JUZIM2PUV/action/storage_attestation","attest_author":"https://pith.science/pith/7BISSL2ZQBFVNDJO6JUZIM2PUV/action/author_attestation","sign_citation":"https://pith.science/pith/7BISSL2ZQBFVNDJO6JUZIM2PUV/action/citation_signature","submit_replication":"https://pith.science/pith/7BISSL2ZQBFVNDJO6JUZIM2PUV/action/replication_record"}},"created_at":"2026-08-11T01:25:33.529311+00:00","updated_at":"2026-08-11T01:25:33.529311+00:00"}