{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:S6PCOL2TLQIFMLXKHY4EXIES2X","short_pith_number":"pith:S6PCOL2T","schema_version":"1.0","canonical_sha256":"979e272f535c10562eea3e384ba092d5f2890e4e1bd73bfabba705e747e9f919","source":{"kind":"arxiv","id":"2606.30123","version":1},"attestation_state":"computed","paper":{"title":"Kinetic energy from the cubic sum rule of the dynamic structure factor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","physics.chem-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Alexander Benedix Robles, Fotios Kalkavouras, Jan Vorberger, Maximilian B\\\"ohme, Panagiotis Tolias, Sebastian Schwalbe, Thomas Gawne, Tobias Dornheim, Zhandos Moldabekov","submitted_at":"2026-06-29T10:57:14Z","abstract_excerpt":"The third frequency moment sum rule of the dynamic structure factor $S(\\mathbf{q},\\omega)$ is explored for the first time as an alternative estimator of the kinetic energy $K$ of quantum many-body systems. As a practical example, the uniform electron gas at warm dense matter conditions is considered. First, $K$ is extracted from quasi-exact \\emph{ab initio} path integral Monte Carlo results for the imaginary-time density--density correlation function $F(\\mathbf{q},\\tau)$ and the expected excellent self-consistency with the thermodynamic differentiation route is confirmed. Second, $K$ is extrac"},"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":"2606.30123","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2026-06-29T10:57:14Z","cross_cats_sorted":["cond-mat.quant-gas","physics.chem-ph"],"title_canon_sha256":"66caf20949b7f4b84b52370957c4a9b7409f3d3d9a66a7a8568c1b777f3f182e","abstract_canon_sha256":"c7aac885e2a99d1ce92f67e4e29007b76270fcb1215a732cb5c44e0b000d7a8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T02:17:50.588832Z","signature_b64":"N9y4zgC4PrQcSxd6a/38Av3j/s6+yGM9xU4xCGWYmmRh2+0j2tLCrKKKm1epPPPoL0L6vRAsvxg3N/PHM0hxCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"979e272f535c10562eea3e384ba092d5f2890e4e1bd73bfabba705e747e9f919","last_reissued_at":"2026-06-30T02:17:50.588350Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T02:17:50.588350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kinetic energy from the cubic sum rule of the dynamic structure factor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","physics.chem-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Alexander Benedix Robles, Fotios Kalkavouras, Jan Vorberger, Maximilian B\\\"ohme, Panagiotis Tolias, Sebastian Schwalbe, Thomas Gawne, Tobias Dornheim, Zhandos Moldabekov","submitted_at":"2026-06-29T10:57:14Z","abstract_excerpt":"The third frequency moment sum rule of the dynamic structure factor $S(\\mathbf{q},\\omega)$ is explored for the first time as an alternative estimator of the kinetic energy $K$ of quantum many-body systems. As a practical example, the uniform electron gas at warm dense matter conditions is considered. First, $K$ is extracted from quasi-exact \\emph{ab initio} path integral Monte Carlo results for the imaginary-time density--density correlation function $F(\\mathbf{q},\\tau)$ and the expected excellent self-consistency with the thermodynamic differentiation route is confirmed. Second, $K$ is extrac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30123","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/2606.30123/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":"2606.30123","created_at":"2026-06-30T02:17:50.588418+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.30123v1","created_at":"2026-06-30T02:17:50.588418+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30123","created_at":"2026-06-30T02:17:50.588418+00:00"},{"alias_kind":"pith_short_12","alias_value":"S6PCOL2TLQIF","created_at":"2026-06-30T02:17:50.588418+00:00"},{"alias_kind":"pith_short_16","alias_value":"S6PCOL2TLQIFMLXK","created_at":"2026-06-30T02:17:50.588418+00:00"},{"alias_kind":"pith_short_8","alias_value":"S6PCOL2T","created_at":"2026-06-30T02:17:50.588418+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/S6PCOL2TLQIFMLXKHY4EXIES2X","json":"https://pith.science/pith/S6PCOL2TLQIFMLXKHY4EXIES2X.json","graph_json":"https://pith.science/api/pith-number/S6PCOL2TLQIFMLXKHY4EXIES2X/graph.json","events_json":"https://pith.science/api/pith-number/S6PCOL2TLQIFMLXKHY4EXIES2X/events.json","paper":"https://pith.science/paper/S6PCOL2T"},"agent_actions":{"view_html":"https://pith.science/pith/S6PCOL2TLQIFMLXKHY4EXIES2X","download_json":"https://pith.science/pith/S6PCOL2TLQIFMLXKHY4EXIES2X.json","view_paper":"https://pith.science/paper/S6PCOL2T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.30123&json=true","fetch_graph":"https://pith.science/api/pith-number/S6PCOL2TLQIFMLXKHY4EXIES2X/graph.json","fetch_events":"https://pith.science/api/pith-number/S6PCOL2TLQIFMLXKHY4EXIES2X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S6PCOL2TLQIFMLXKHY4EXIES2X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S6PCOL2TLQIFMLXKHY4EXIES2X/action/storage_attestation","attest_author":"https://pith.science/pith/S6PCOL2TLQIFMLXKHY4EXIES2X/action/author_attestation","sign_citation":"https://pith.science/pith/S6PCOL2TLQIFMLXKHY4EXIES2X/action/citation_signature","submit_replication":"https://pith.science/pith/S6PCOL2TLQIFMLXKHY4EXIES2X/action/replication_record"}},"created_at":"2026-06-30T02:17:50.588418+00:00","updated_at":"2026-06-30T02:17:50.588418+00:00"}