{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:TAQBMLTKE6EVWYZJJPMVKTPQ7K","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8c8e68dbcc3318a493c3503fe5bca5169a15d4c9cf09884f92c4d66354a9bc51","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-15T04:58:18Z","title_canon_sha256":"4ee9615f5570a828ba735ca2c9a7a133aceaaa63044a09785b84ed9af96fff59"},"schema_version":"1.0","source":{"id":"2605.15616","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.15616","created_at":"2026-05-20T00:01:08Z"},{"alias_kind":"arxiv_version","alias_value":"2605.15616v1","created_at":"2026-05-20T00:01:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15616","created_at":"2026-05-20T00:01:08Z"},{"alias_kind":"pith_short_12","alias_value":"TAQBMLTKE6EV","created_at":"2026-05-20T00:01:08Z"},{"alias_kind":"pith_short_16","alias_value":"TAQBMLTKE6EVWYZJ","created_at":"2026-05-20T00:01:08Z"},{"alias_kind":"pith_short_8","alias_value":"TAQBMLTK","created_at":"2026-05-20T00:01:08Z"}],"graph_snapshots":[{"event_id":"sha256:81a193475a0df94b89fc26266301c57bef6941a798823ea4168af5a38c45b4fd","target":"graph","created_at":"2026-05-20T00:01:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We design entropy-stable finite difference numerical schemes for the OFTT-Euler model by reformulating the equations such that the reformulated non-conservative part does not contribute to the entropy. Then we design higher-order entropy-conservative numerical schemes by using Tadmor's relation for the conservative part and higher-order central differences for the non-conservative parts."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The reformulation of the non-conservative products ensures they do not contribute to the entropy production in the system, allowing Tadmor's relation and central differences to produce entropy-conservative schemes before dissipation is added (abstract, paragraph on scheme design)."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Entropy-stable finite difference schemes are constructed for the OFTT-Euler model by reformulating non-conservative products to not affect entropy and adding dissipation via entropy-scaled eigenvectors."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Reformulating non-conservative terms enables entropy-stable finite difference schemes for the one-fluid two-temperature Euler equations."}],"snapshot_sha256":"04bf0bd64e2d544554d463447f520c16fe5642a8502e2e4ac8bffc7844d8b720"},"formal_canon":{"evidence_count":1,"snapshot_sha256":"45524d0ab385020a9e0c7e0a854d996dc296846477a4bb3f6b92c18fd13d0af7"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_title_agreement","ran_at":"2026-05-19T23:01:19.703556Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T22:42:11.572483Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T19:34:34.616861Z","status":"skipped","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T17:41:56.041378Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.15616/integrity.json","findings":[],"snapshot_sha256":"50aff17daa576e8bef3d4ccbe71891cf1fce2f1b01be94d325887a28f5577002","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we consider the One-Fluid Two-Temperature Euler (OFTT-Euler) equations used for modeling non-equilibrium hydrodynamics. The model comprises a system of nonlinear hyperbolic partial differential equations with non-conservative products. The model decomposed the total pressure into two scalar components: one for electrons and one for ions. Our aim in this work is to design entropy-stable finite difference numerical schemes for the model. This is achieved by reformulating the equations such that the reformulated non-conservative part does not contribute to the entropy. Then, we desi","authors_text":"Chetan Singh, Harish Kumar","cross_cats":["cs.NA"],"headline":"Reformulating non-conservative terms enables entropy-stable finite difference schemes for the one-fluid two-temperature Euler equations.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-15T04:58:18Z","title":"Entropy stable finite difference schemes for One-Fluid Two-Temperature Euler Non-equilibrium Hydrodynamics"},"references":{"count":57,"internal_anchors":0,"resolved_work":57,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Astrophysical radiation dynamics: The prospects for scaling.Astrophysics and Space Science, 307(1):207–211, 2007","work_id":"1a0af7df-1abe-4329-9db0-36eed289d285","year":2007},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Smoothed particle hydrodynamics in astrophysics.Annual Review of Astronomy and Astrophysics, 48:391–430, 2010","work_id":"bdf20ff8-32ea-45b9-96d6-b53859eeb192","year":2010},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Grid-based hydrodynamics in astrophysical fluid flows.Annual Review of Astronomy and Astrophysics, 53(1):325–364, 2015","work_id":"1610d76b-2dbd-4330-9a38-ce4f77da34ed","year":2015},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"Springer Science & Business Media, 2012","work_id":"48b6e0d5-b2c9-4a97-a0f8-dc0779bae25a","year":2012},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Stefano Atzeni and Jürgen Meyer-ter Vehn.The Physics of Inertial Fusion: BeamPlasma Interaction, Hydrodynamics, Hot Dense Matter. Number 125. Oxford University Press, 2004","work_id":"60e6ce1f-12b9-47e2-aa8c-513648073064","year":2004}],"snapshot_sha256":"7572a0d8c8a1edaa0a7fb4a1171a25bf6864ca08757f07fa6c0a054e87e806c5"},"source":{"id":"2605.15616","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T22:34:48.345711Z","id":"422ead98-5703-43e3-9076-e5974212e812","model_set":{"reader":"grok-4.3"},"one_line_summary":"Entropy-stable finite difference schemes are constructed for the OFTT-Euler model by reformulating non-conservative products to not affect entropy and adding dissipation via entropy-scaled eigenvectors.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Reformulating non-conservative terms enables entropy-stable finite difference schemes for the one-fluid two-temperature Euler equations.","strongest_claim":"We design entropy-stable finite difference numerical schemes for the OFTT-Euler model by reformulating the equations such that the reformulated non-conservative part does not contribute to the entropy. Then we design higher-order entropy-conservative numerical schemes by using Tadmor's relation for the conservative part and higher-order central differences for the non-conservative parts.","weakest_assumption":"The reformulation of the non-conservative products ensures they do not contribute to the entropy production in the system, allowing Tadmor's relation and central differences to produce entropy-conservative schemes before dissipation is added (abstract, paragraph on scheme design)."}},"verdict_id":"422ead98-5703-43e3-9076-e5974212e812"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ace29eb5759948b3de3ba18ca6e1653941d0a6e62aa31840e1247d8df0459ad0","target":"record","created_at":"2026-05-20T00:01:08Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8c8e68dbcc3318a493c3503fe5bca5169a15d4c9cf09884f92c4d66354a9bc51","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-05-15T04:58:18Z","title_canon_sha256":"4ee9615f5570a828ba735ca2c9a7a133aceaaa63044a09785b84ed9af96fff59"},"schema_version":"1.0","source":{"id":"2605.15616","kind":"arxiv","version":1}},"canonical_sha256":"9820162e6a27895b63294bd9554df0faa03c59009501d687c892e76383344296","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9820162e6a27895b63294bd9554df0faa03c59009501d687c892e76383344296","first_computed_at":"2026-05-20T00:01:08.295896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:08.295896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rFxy3jaQei0aEsa6IkPfoSLjSn02JTLNwl69XlbnPf8yPjY8l2vvLGWAyCLEeH++3+ywG0iJ3nnI/dMzJ0NYAA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:08.296651Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15616","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ace29eb5759948b3de3ba18ca6e1653941d0a6e62aa31840e1247d8df0459ad0","sha256:81a193475a0df94b89fc26266301c57bef6941a798823ea4168af5a38c45b4fd"],"state_sha256":"76ef4a0c7b00ffeef24cdd7387ddfdaf05db551f68efef92c45c5ef2229cfe83"}