{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:FWOOIVFWCIM7ZY2OI4MQJP4SD5","short_pith_number":"pith:FWOOIVFW","schema_version":"1.0","canonical_sha256":"2d9ce454b61219fce34e471904bf921f5b214cf5aa53688f24ce29d13495ea48","source":{"kind":"arxiv","id":"2603.27386","version":2},"attestation_state":"computed","paper":{"title":"Thermal channels of scalar and tensor waves in Jordan-frame scalar--tensor gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"In Jordan-frame scalar-tensor gravity the modification to gravitational-wave damping is the effective transverse-traceless anisotropic stress from the scalar sector.","cross_cats":[],"primary_cat":"gr-qc","authors_text":"David S. Pereira, Francisco S.N Lobo, Jos\\'e Pedro Mimoso","submitted_at":"2026-03-28T19:37:17Z","abstract_excerpt":"We study first-order scalar and tensor perturbations of Jordan-frame scalar--tensor gravity about a spatially flat FLRW background using the Einstein-like effective-fluid decomposition of the scalar sector. In the scalar-gradient frame, we derive the perturbed effective density, pressure, heat flux, and anisotropic stress, and show that they admit an exact Eckart-type constitutive identification at linear order. We then show that these same quantities appear explicitly and exhaustively in the linearized field equations: the scalar Hamiltonian, momentum, trace, and traceless Einstein-like equat"},"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":true,"formal_links_present":true},"canonical_record":{"source":{"id":"2603.27386","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-03-28T19:37:17Z","cross_cats_sorted":[],"title_canon_sha256":"723647808d71e4ff3622dc8e322020d5d34ad61c310da2ff6634d39897bb373f","abstract_canon_sha256":"7ad97c848a55f481cc493f460d6db31bfccf4929e56daf4bedab34c35337345e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T02:05:43.814360Z","signature_b64":"aRrRqKiC0WBTekFg8V6EiFugT369IJ2rCzharQ9sa53OUqCwmWLwtRVjbtT1wJeIOtKWbOe1odkHK+njjfXBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d9ce454b61219fce34e471904bf921f5b214cf5aa53688f24ce29d13495ea48","last_reissued_at":"2026-05-29T02:05:43.813514Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T02:05:43.813514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermal channels of scalar and tensor waves in Jordan-frame scalar--tensor gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"In Jordan-frame scalar-tensor gravity the modification to gravitational-wave damping is the effective transverse-traceless anisotropic stress from the scalar sector.","cross_cats":[],"primary_cat":"gr-qc","authors_text":"David S. Pereira, Francisco S.N Lobo, Jos\\'e Pedro Mimoso","submitted_at":"2026-03-28T19:37:17Z","abstract_excerpt":"We study first-order scalar and tensor perturbations of Jordan-frame scalar--tensor gravity about a spatially flat FLRW background using the Einstein-like effective-fluid decomposition of the scalar sector. In the scalar-gradient frame, we derive the perturbed effective density, pressure, heat flux, and anisotropic stress, and show that they admit an exact Eckart-type constitutive identification at linear order. We then show that these same quantities appear explicitly and exhaustively in the linearized field equations: the scalar Hamiltonian, momentum, trace, and traceless Einstein-like equat"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"the Jordan-frame modification of gravitational-wave damping is identified with the effective transverse-traceless anisotropic stress of the scalar sector","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"that the Einstein-like effective-fluid decomposition of the scalar sector remains valid and yields an exact Eckart-type constitutive identification at linear order in the scalar-gradient frame","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Scalar and tensor perturbations in Jordan-frame scalar-tensor gravity admit an exact linear-order Eckart effective-fluid description, with gravitational-wave damping governed by the scalar sector's transverse-traceless anisotropic stress.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"In Jordan-frame scalar-tensor gravity the modification to gravitational-wave damping is the effective transverse-traceless anisotropic stress from the scalar sector.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"96f31e12460737802f7937166a70f37f7e7f3f37586794610b9144c8e5b2ea1b"},"source":{"id":"2603.27386","kind":"arxiv","version":2},"verdict":{"id":"4d8eb531-72c7-4394-90e7-d32702f880fa","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T21:24:03.227552Z","strongest_claim":"the Jordan-frame modification of gravitational-wave damping is identified with the effective transverse-traceless anisotropic stress of the scalar sector","one_line_summary":"Scalar and tensor perturbations in Jordan-frame scalar-tensor gravity admit an exact linear-order Eckart effective-fluid description, with gravitational-wave damping governed by the scalar sector's transverse-traceless anisotropic stress.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"that the Einstein-like effective-fluid decomposition of the scalar sector remains valid and yields an exact Eckart-type constitutive identification at linear order in the scalar-gradient frame","pith_extraction_headline":"In Jordan-frame scalar-tensor gravity the modification to gravitational-wave damping is the effective transverse-traceless anisotropic stress from the scalar sector."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.27386/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":59,"sample":[{"doi":"","year":null,"title":"In this limit the scalar-gradient congruence is no longer defined, so the heat-flux interpretation based on vϕ=−φ/˙¯ϕceases to apply. The scalar perturbation nevertheless survives as an ordinary Klein","work_id":"a9ce8068-7740-4b11-9a5c-b4e4a7cc7909","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Metric and connections Starting from the metric(21) we writegab = ¯gab +δgab and imposegacgcb =δab. To first order, δgac ¯gcb + ¯gacδgcb = 0.(A1) For(00), δg00 (−1) + (−1)(−2A) = 0⇒δg00 = 2A.(A2) For(","work_id":"1751cd5b-836b-4278-8078-23f4f777a6ff","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Derivation of the3 + 1perturbed quantities Starting with δai = ¯ubδ(∇bui) +δub ¯∇b¯ui.(A10) one gets ¯ubδ(∇bui) =δ(∇0ui) =∂0δui−¯Γj 0iδuj−δΓ0 0i¯u0, (A11) since ¯Γ00i = 0,¯u0 =−1. Therefore ¯ubδ(∇bui)","work_id":"f92ac505-d54a-4f8d-aab6-9e632e6918ed","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Derivation ofδ[(∇ϕ)2]andδ(□ϕ) First, (∇ϕ)2 =g ab∂aϕ∂bϕ.(A16) Linearizing, δ[(∇ϕ)2] =δgab∂a ¯ϕ∂b ¯ϕ+ 2¯gab∂a ¯ϕ∂bφ.(A17) Since∂i ¯ϕ= 0and¯g00 =−1, δ[(∇ϕ)2] =δg00 ˙¯ϕ2 + 2¯g00 ˙¯ϕ˙φ= 2A˙¯ϕ2−2˙¯ϕ˙φ.(A18)","work_id":"8f6aff9e-263f-40d3-a577-8416a3779370","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Detailed derivation of the effective thermal variables We split 8πT(ϕ) ab =X ab +Yab +Zab,(A35) with Xab = ω(ϕ) ϕ2 ( ∇aϕ∇bϕ−1 2gab(∇ϕ)2 ) ,(A36) Yab = 1 ϕ(∇a∇bϕ−gab□ϕ),(A37) Zab =−V ϕgab.(A38) 18 a. T","work_id":"fa42dab7-8535-493f-8e7f-723dbcba6d4d","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":59,"snapshot_sha256":"35cf5de9962a56d19ca1d321bfb06de5a35a746ff21a61ab0d8c95693b7209c2","internal_anchors":16},"formal_canon":{"evidence_count":2,"snapshot_sha256":"eaea0ad5173e2abf2139def6b7fc6ebffb8f8ce68442527e7597cfcf4eb1c1e3"},"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":"2603.27386","created_at":"2026-05-29T02:05:43.813623+00:00"},{"alias_kind":"arxiv_version","alias_value":"2603.27386v2","created_at":"2026-05-29T02:05:43.813623+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.27386","created_at":"2026-05-29T02:05:43.813623+00:00"},{"alias_kind":"pith_short_12","alias_value":"FWOOIVFWCIM7","created_at":"2026-05-29T02:05:43.813623+00:00"},{"alias_kind":"pith_short_16","alias_value":"FWOOIVFWCIM7ZY2O","created_at":"2026-05-29T02:05:43.813623+00:00"},{"alias_kind":"pith_short_8","alias_value":"FWOOIVFW","created_at":"2026-05-29T02:05:43.813623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.16094","citing_title":"Frame invariant diffusive formulation of scalar-tensor gravity","ref_index":77,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FWOOIVFWCIM7ZY2OI4MQJP4SD5","json":"https://pith.science/pith/FWOOIVFWCIM7ZY2OI4MQJP4SD5.json","graph_json":"https://pith.science/api/pith-number/FWOOIVFWCIM7ZY2OI4MQJP4SD5/graph.json","events_json":"https://pith.science/api/pith-number/FWOOIVFWCIM7ZY2OI4MQJP4SD5/events.json","paper":"https://pith.science/paper/FWOOIVFW"},"agent_actions":{"view_html":"https://pith.science/pith/FWOOIVFWCIM7ZY2OI4MQJP4SD5","download_json":"https://pith.science/pith/FWOOIVFWCIM7ZY2OI4MQJP4SD5.json","view_paper":"https://pith.science/paper/FWOOIVFW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2603.27386&json=true","fetch_graph":"https://pith.science/api/pith-number/FWOOIVFWCIM7ZY2OI4MQJP4SD5/graph.json","fetch_events":"https://pith.science/api/pith-number/FWOOIVFWCIM7ZY2OI4MQJP4SD5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FWOOIVFWCIM7ZY2OI4MQJP4SD5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FWOOIVFWCIM7ZY2OI4MQJP4SD5/action/storage_attestation","attest_author":"https://pith.science/pith/FWOOIVFWCIM7ZY2OI4MQJP4SD5/action/author_attestation","sign_citation":"https://pith.science/pith/FWOOIVFWCIM7ZY2OI4MQJP4SD5/action/citation_signature","submit_replication":"https://pith.science/pith/FWOOIVFWCIM7ZY2OI4MQJP4SD5/action/replication_record"}},"created_at":"2026-05-29T02:05:43.813623+00:00","updated_at":"2026-05-29T02:05:43.813623+00:00"}