{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:ZIMGY6VG5GLS5EII42XWAEDQ2F","short_pith_number":"pith:ZIMGY6VG","schema_version":"1.0","canonical_sha256":"ca186c7aa6e9972e9108e6af601070d17c5a8d49ac3d052c1fa268a044a51a20","source":{"kind":"arxiv","id":"2606.05136","version":1},"attestation_state":"computed","paper":{"title":"Thermal Positivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Clifford Cheung, Rachel A. Rosen","submitted_at":"2026-06-03T17:41:07Z","abstract_excerpt":"We argue that Lorentz invariance and unitarity impose sharp constraints on thermodynamic quantities. By relating thermal vacuum diagrams to forward scattering amplitudes, we derive an infinite family of sign conditions on finite-temperature observables in perturbative theories of relativistic massless bosons. In particular, we prove that all low-temperature corrections from interactions to the pressure, or equivalently the negative free energy density, of the form T^{2D-4+4k} with k>0 in D spacetime dimensions, are strictly positive. These positivity conditions are inherited by analogous terms"},"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":"2606.05136","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-06-03T17:41:07Z","cross_cats_sorted":[],"title_canon_sha256":"944698dd538a1183152db0e349c7d81f38dd3c47d174b2b6cb742aedccc92106","abstract_canon_sha256":"8e421afea9037b892074ec974400d11f12bdda2c9718b9edcf2adceda64480de"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T01:10:07.952328Z","signature_b64":"rJjfW79FPEGyINGq3LZcrpWroFwTBfdOoVclnnUh8dOM3iXKTidqDSUJ5IqHpL9nPBxriqlZBxaThhNNr1/dDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca186c7aa6e9972e9108e6af601070d17c5a8d49ac3d052c1fa268a044a51a20","last_reissued_at":"2026-06-04T01:10:07.951679Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T01:10:07.951679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermal Positivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Clifford Cheung, Rachel A. Rosen","submitted_at":"2026-06-03T17:41:07Z","abstract_excerpt":"We argue that Lorentz invariance and unitarity impose sharp constraints on thermodynamic quantities. By relating thermal vacuum diagrams to forward scattering amplitudes, we derive an infinite family of sign conditions on finite-temperature observables in perturbative theories of relativistic massless bosons. In particular, we prove that all low-temperature corrections from interactions to the pressure, or equivalently the negative free energy density, of the form T^{2D-4+4k} with k>0 in D spacetime dimensions, are strictly positive. These positivity conditions are inherited by analogous terms"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05136","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/2606.05136/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":"2606.05136","created_at":"2026-06-04T01:10:07.951779+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.05136v1","created_at":"2026-06-04T01:10:07.951779+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05136","created_at":"2026-06-04T01:10:07.951779+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZIMGY6VG5GLS","created_at":"2026-06-04T01:10:07.951779+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZIMGY6VG5GLS5EII","created_at":"2026-06-04T01:10:07.951779+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZIMGY6VG","created_at":"2026-06-04T01:10:07.951779+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/ZIMGY6VG5GLS5EII42XWAEDQ2F","json":"https://pith.science/pith/ZIMGY6VG5GLS5EII42XWAEDQ2F.json","graph_json":"https://pith.science/api/pith-number/ZIMGY6VG5GLS5EII42XWAEDQ2F/graph.json","events_json":"https://pith.science/api/pith-number/ZIMGY6VG5GLS5EII42XWAEDQ2F/events.json","paper":"https://pith.science/paper/ZIMGY6VG"},"agent_actions":{"view_html":"https://pith.science/pith/ZIMGY6VG5GLS5EII42XWAEDQ2F","download_json":"https://pith.science/pith/ZIMGY6VG5GLS5EII42XWAEDQ2F.json","view_paper":"https://pith.science/paper/ZIMGY6VG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.05136&json=true","fetch_graph":"https://pith.science/api/pith-number/ZIMGY6VG5GLS5EII42XWAEDQ2F/graph.json","fetch_events":"https://pith.science/api/pith-number/ZIMGY6VG5GLS5EII42XWAEDQ2F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZIMGY6VG5GLS5EII42XWAEDQ2F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZIMGY6VG5GLS5EII42XWAEDQ2F/action/storage_attestation","attest_author":"https://pith.science/pith/ZIMGY6VG5GLS5EII42XWAEDQ2F/action/author_attestation","sign_citation":"https://pith.science/pith/ZIMGY6VG5GLS5EII42XWAEDQ2F/action/citation_signature","submit_replication":"https://pith.science/pith/ZIMGY6VG5GLS5EII42XWAEDQ2F/action/replication_record"}},"created_at":"2026-06-04T01:10:07.951779+00:00","updated_at":"2026-06-04T01:10:07.951779+00:00"}