{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:OZ3DAVX3IBYDWO6GFYVBNCCW25","short_pith_number":"pith:OZ3DAVX3","schema_version":"1.0","canonical_sha256":"76763056fb40703b3bc62e2a168856d75f86f6f435eea313f7b905c52595e4b0","source":{"kind":"arxiv","id":"2207.14224","version":1},"attestation_state":"computed","paper":{"title":"Positivity bounds on effective field theories with spontaneously broken Lorentz invariance","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Leonardo Senatore, Oliver Janssen, Paolo Creminelli","submitted_at":"2022-07-28T16:44:48Z","abstract_excerpt":"We derive positivity bounds on EFT coefficients in theories where boosts are spontaneously broken. We employ the analytic properties of the retarded Green's function of conserved currents (or of the stress-energy tensor) and assume the theory becomes conformal in the UV. The method is general and applicable to both cosmology and condensed matter systems. As a concrete example, we look at the EFT of conformal superfluids which describes the universal low-energy dynamics of CFT's at large chemical potential and we derive inequalities on the coefficients of the operators, in three dimensions, at "},"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":"2207.14224","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2022-07-28T16:44:48Z","cross_cats_sorted":["astro-ph.CO","cond-mat.str-el"],"title_canon_sha256":"0cfe01027d8feebba8db111a62b4e87536659720613b99047c89069a635c4137","abstract_canon_sha256":"8f0b9dd24b11e0aae10455dbd34d115f6c3ade02ab369e73f465f78b72c74889"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:07:49.990813Z","signature_b64":"EGvCG8vLaMog9LxZzbRRAqPToeGtP1STDrP1+oYTwG0UvcJimIxeQRWH/Vkxlkf2b3hUD0MV15IT/r+dtj8KCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76763056fb40703b3bc62e2a168856d75f86f6f435eea313f7b905c52595e4b0","last_reissued_at":"2026-07-05T05:07:49.990381Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:07:49.990381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Positivity bounds on effective field theories with spontaneously broken Lorentz invariance","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Leonardo Senatore, Oliver Janssen, Paolo Creminelli","submitted_at":"2022-07-28T16:44:48Z","abstract_excerpt":"We derive positivity bounds on EFT coefficients in theories where boosts are spontaneously broken. We employ the analytic properties of the retarded Green's function of conserved currents (or of the stress-energy tensor) and assume the theory becomes conformal in the UV. The method is general and applicable to both cosmology and condensed matter systems. As a concrete example, we look at the EFT of conformal superfluids which describes the universal low-energy dynamics of CFT's at large chemical potential and we derive inequalities on the coefficients of the operators, in three dimensions, at "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.14224","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/2207.14224/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":"2207.14224","created_at":"2026-07-05T05:07:49.990441+00:00"},{"alias_kind":"arxiv_version","alias_value":"2207.14224v1","created_at":"2026-07-05T05:07:49.990441+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.14224","created_at":"2026-07-05T05:07:49.990441+00:00"},{"alias_kind":"pith_short_12","alias_value":"OZ3DAVX3IBYD","created_at":"2026-07-05T05:07:49.990441+00:00"},{"alias_kind":"pith_short_16","alias_value":"OZ3DAVX3IBYDWO6G","created_at":"2026-07-05T05:07:49.990441+00:00"},{"alias_kind":"pith_short_8","alias_value":"OZ3DAVX3","created_at":"2026-07-05T05:07:49.990441+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":10,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.05136","citing_title":"Thermal Positivity","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2606.02729","citing_title":"Probabilistic Causality from Graviton Fluctuations","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2605.11072","citing_title":"Positivity in Massive Spin-3/2 EFTs and the Planck-Suppressed Neighbourhood of Supergravity","ref_index":29,"is_internal_anchor":false},{"citing_arxiv_id":"2606.30716","citing_title":"CFTs on Squashed Spheres and the Thermal Effective Action","ref_index":68,"is_internal_anchor":false},{"citing_arxiv_id":"2412.19745","citing_title":"IR side of bounds on Theories with Spontaneously Broken Lorentz Symmetry","ref_index":27,"is_internal_anchor":false},{"citing_arxiv_id":"2508.08359","citing_title":"A Compact Story of Positivity in de Sitter","ref_index":56,"is_internal_anchor":false},{"citing_arxiv_id":"2509.18255","citing_title":"Bootstrapping transport in the Drude-Kadanoff-Martin model","ref_index":43,"is_internal_anchor":false},{"citing_arxiv_id":"2511.00152","citing_title":"Every Wrinkle Carries A Memory: An Integro-differential Bootstrap for Features in Cosmological Correlators","ref_index":95,"is_internal_anchor":false},{"citing_arxiv_id":"2512.13780","citing_title":"Positivity with Long-Range Interactions","ref_index":43,"is_internal_anchor":false},{"citing_arxiv_id":"2605.11072","citing_title":"Positivity in Massive Spin-3/2 EFTs and the Planck-Suppressed Neighbourhood of Supergravity","ref_index":29,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OZ3DAVX3IBYDWO6GFYVBNCCW25","json":"https://pith.science/pith/OZ3DAVX3IBYDWO6GFYVBNCCW25.json","graph_json":"https://pith.science/api/pith-number/OZ3DAVX3IBYDWO6GFYVBNCCW25/graph.json","events_json":"https://pith.science/api/pith-number/OZ3DAVX3IBYDWO6GFYVBNCCW25/events.json","paper":"https://pith.science/paper/OZ3DAVX3"},"agent_actions":{"view_html":"https://pith.science/pith/OZ3DAVX3IBYDWO6GFYVBNCCW25","download_json":"https://pith.science/pith/OZ3DAVX3IBYDWO6GFYVBNCCW25.json","view_paper":"https://pith.science/paper/OZ3DAVX3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2207.14224&json=true","fetch_graph":"https://pith.science/api/pith-number/OZ3DAVX3IBYDWO6GFYVBNCCW25/graph.json","fetch_events":"https://pith.science/api/pith-number/OZ3DAVX3IBYDWO6GFYVBNCCW25/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OZ3DAVX3IBYDWO6GFYVBNCCW25/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OZ3DAVX3IBYDWO6GFYVBNCCW25/action/storage_attestation","attest_author":"https://pith.science/pith/OZ3DAVX3IBYDWO6GFYVBNCCW25/action/author_attestation","sign_citation":"https://pith.science/pith/OZ3DAVX3IBYDWO6GFYVBNCCW25/action/citation_signature","submit_replication":"https://pith.science/pith/OZ3DAVX3IBYDWO6GFYVBNCCW25/action/replication_record"}},"created_at":"2026-07-05T05:07:49.990441+00:00","updated_at":"2026-07-05T05:07:49.990441+00:00"}