{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:7GVTUQIPZUDGNE7CCPDYRBT4S5","short_pith_number":"pith:7GVTUQIP","schema_version":"1.0","canonical_sha256":"f9ab3a410fcd066693e213c788867c9768426179982e4150f64e962404254074","source":{"kind":"arxiv","id":"2312.14753","version":2},"attestation_state":"computed","paper":{"title":"Fermions at finite density in the path integral approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alessandro Podo, Luca Santoni","submitted_at":"2023-12-22T15:11:19Z","abstract_excerpt":"We study relativistic fermionic systems in $3+1$ spacetime dimensions at finite chemical potential and zero temperature, from a path-integral point of view. We show how to properly account for the $i\\varepsilon$ term that projects on the finite density ground state, and compute the path integral analytically for free fermions in homogeneous external backgrounds, using complex analysis techniques. As an application, we show that the ${\\rm U}(1)$ symmetry is always linearly realized for free fermions at finite charge density, differently from scalars. We study various aspects of finite density Q"},"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":"2312.14753","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-12-22T15:11:19Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"67dbaeb1f295e44991f86a21a8cc218f164b2914df194325647966e874b6466f","abstract_canon_sha256":"91d371a9de29a94cf9187ddaab9b626776540376dce6b684ecd88423be0645ed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:48:33.425636Z","signature_b64":"19NDWWLhDfZ3cp/LOTvB0ui6F8OgyBaK5tGnObZ7NYbvyQ2BR88b4Q2NhbIq63cyK2a+l8Ap5pvuFatwRmW0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9ab3a410fcd066693e213c788867c9768426179982e4150f64e962404254074","last_reissued_at":"2026-07-05T07:48:33.425180Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:48:33.425180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fermions at finite density in the path integral approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alessandro Podo, Luca Santoni","submitted_at":"2023-12-22T15:11:19Z","abstract_excerpt":"We study relativistic fermionic systems in $3+1$ spacetime dimensions at finite chemical potential and zero temperature, from a path-integral point of view. We show how to properly account for the $i\\varepsilon$ term that projects on the finite density ground state, and compute the path integral analytically for free fermions in homogeneous external backgrounds, using complex analysis techniques. As an application, we show that the ${\\rm U}(1)$ symmetry is always linearly realized for free fermions at finite charge density, differently from scalars. We study various aspects of finite density Q"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.14753","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/2312.14753/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":"2312.14753","created_at":"2026-07-05T07:48:33.425240+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.14753v2","created_at":"2026-07-05T07:48:33.425240+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.14753","created_at":"2026-07-05T07:48:33.425240+00:00"},{"alias_kind":"pith_short_12","alias_value":"7GVTUQIPZUDG","created_at":"2026-07-05T07:48:33.425240+00:00"},{"alias_kind":"pith_short_16","alias_value":"7GVTUQIPZUDGNE7C","created_at":"2026-07-05T07:48:33.425240+00:00"},{"alias_kind":"pith_short_8","alias_value":"7GVTUQIP","created_at":"2026-07-05T07:48:33.425240+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/7GVTUQIPZUDGNE7CCPDYRBT4S5","json":"https://pith.science/pith/7GVTUQIPZUDGNE7CCPDYRBT4S5.json","graph_json":"https://pith.science/api/pith-number/7GVTUQIPZUDGNE7CCPDYRBT4S5/graph.json","events_json":"https://pith.science/api/pith-number/7GVTUQIPZUDGNE7CCPDYRBT4S5/events.json","paper":"https://pith.science/paper/7GVTUQIP"},"agent_actions":{"view_html":"https://pith.science/pith/7GVTUQIPZUDGNE7CCPDYRBT4S5","download_json":"https://pith.science/pith/7GVTUQIPZUDGNE7CCPDYRBT4S5.json","view_paper":"https://pith.science/paper/7GVTUQIP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.14753&json=true","fetch_graph":"https://pith.science/api/pith-number/7GVTUQIPZUDGNE7CCPDYRBT4S5/graph.json","fetch_events":"https://pith.science/api/pith-number/7GVTUQIPZUDGNE7CCPDYRBT4S5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7GVTUQIPZUDGNE7CCPDYRBT4S5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7GVTUQIPZUDGNE7CCPDYRBT4S5/action/storage_attestation","attest_author":"https://pith.science/pith/7GVTUQIPZUDGNE7CCPDYRBT4S5/action/author_attestation","sign_citation":"https://pith.science/pith/7GVTUQIPZUDGNE7CCPDYRBT4S5/action/citation_signature","submit_replication":"https://pith.science/pith/7GVTUQIPZUDGNE7CCPDYRBT4S5/action/replication_record"}},"created_at":"2026-07-05T07:48:33.425240+00:00","updated_at":"2026-07-05T07:48:33.425240+00:00"}