{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:KW6IDVDH4HSILMKS4FCP52L5HG","short_pith_number":"pith:KW6IDVDH","schema_version":"1.0","canonical_sha256":"55bc81d467e1e485b152e144fee97d39a23049e01b45ef28f0c536c71739752c","source":{"kind":"arxiv","id":"2206.11697","version":1},"attestation_state":"computed","paper":{"title":"Quarks and Triality in a Finite Volume","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Lorenz von Smekal, Milad Ghanbarpour","submitted_at":"2022-06-23T13:40:49Z","abstract_excerpt":"In order to understand the puzzle of the free energy of an individual quark in QCD, we explicitly construct ensembles with quark numbers $N_V\\neq 0\\!\\mod 3$, corresponding to non-zero triality in a finite subvolume $V$ on the lattice. We first illustrate the basic idea in an effective Polyakov-loop theory for the heavy-dense limit of QCD, and then extend the construction to full Lattice QCD, where the electric center flux through the surface of $V$ has to be fixed at all times to account for Gauss's law. This requires introducing discrete Fourier transforms over closed center-vortex sheets aro"},"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":"2206.11697","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2022-06-23T13:40:49Z","cross_cats_sorted":[],"title_canon_sha256":"5708e47e8fdd7f1beb1eb21dfaf32cbdb843473db65f26a22d4797446d97a599","abstract_canon_sha256":"a13b262906ecb45a8ec3e2dfca0c0825fa7f1007bedb1ada7b502664987e1814"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:00:43.659887Z","signature_b64":"iWQGM6btcio7fJDnCiHX+rr4k8grXZAECWbM7RPJuUyIakpf07RRu6QAJq7jWHOHBWuQCrwFVEOc2NTAIQz8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55bc81d467e1e485b152e144fee97d39a23049e01b45ef28f0c536c71739752c","last_reissued_at":"2026-07-05T05:00:43.659431Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:00:43.659431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quarks and Triality in a Finite Volume","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Lorenz von Smekal, Milad Ghanbarpour","submitted_at":"2022-06-23T13:40:49Z","abstract_excerpt":"In order to understand the puzzle of the free energy of an individual quark in QCD, we explicitly construct ensembles with quark numbers $N_V\\neq 0\\!\\mod 3$, corresponding to non-zero triality in a finite subvolume $V$ on the lattice. We first illustrate the basic idea in an effective Polyakov-loop theory for the heavy-dense limit of QCD, and then extend the construction to full Lattice QCD, where the electric center flux through the surface of $V$ has to be fixed at all times to account for Gauss's law. This requires introducing discrete Fourier transforms over closed center-vortex sheets aro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.11697","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/2206.11697/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":"2206.11697","created_at":"2026-07-05T05:00:43.659487+00:00"},{"alias_kind":"arxiv_version","alias_value":"2206.11697v1","created_at":"2026-07-05T05:00:43.659487+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.11697","created_at":"2026-07-05T05:00:43.659487+00:00"},{"alias_kind":"pith_short_12","alias_value":"KW6IDVDH4HSI","created_at":"2026-07-05T05:00:43.659487+00:00"},{"alias_kind":"pith_short_16","alias_value":"KW6IDVDH4HSILMKS","created_at":"2026-07-05T05:00:43.659487+00:00"},{"alias_kind":"pith_short_8","alias_value":"KW6IDVDH","created_at":"2026-07-05T05:00:43.659487+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/KW6IDVDH4HSILMKS4FCP52L5HG","json":"https://pith.science/pith/KW6IDVDH4HSILMKS4FCP52L5HG.json","graph_json":"https://pith.science/api/pith-number/KW6IDVDH4HSILMKS4FCP52L5HG/graph.json","events_json":"https://pith.science/api/pith-number/KW6IDVDH4HSILMKS4FCP52L5HG/events.json","paper":"https://pith.science/paper/KW6IDVDH"},"agent_actions":{"view_html":"https://pith.science/pith/KW6IDVDH4HSILMKS4FCP52L5HG","download_json":"https://pith.science/pith/KW6IDVDH4HSILMKS4FCP52L5HG.json","view_paper":"https://pith.science/paper/KW6IDVDH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2206.11697&json=true","fetch_graph":"https://pith.science/api/pith-number/KW6IDVDH4HSILMKS4FCP52L5HG/graph.json","fetch_events":"https://pith.science/api/pith-number/KW6IDVDH4HSILMKS4FCP52L5HG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KW6IDVDH4HSILMKS4FCP52L5HG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KW6IDVDH4HSILMKS4FCP52L5HG/action/storage_attestation","attest_author":"https://pith.science/pith/KW6IDVDH4HSILMKS4FCP52L5HG/action/author_attestation","sign_citation":"https://pith.science/pith/KW6IDVDH4HSILMKS4FCP52L5HG/action/citation_signature","submit_replication":"https://pith.science/pith/KW6IDVDH4HSILMKS4FCP52L5HG/action/replication_record"}},"created_at":"2026-07-05T05:00:43.659487+00:00","updated_at":"2026-07-05T05:00:43.659487+00:00"}