{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:FZXYBBMWUKCT2HTTQ5BL4UZC7N","short_pith_number":"pith:FZXYBBMW","schema_version":"1.0","canonical_sha256":"2e6f808596a2853d1e738742be5322fb67e91f990dd4c835fe25e6115553d3fb","source":{"kind":"arxiv","id":"1707.07019","version":2},"attestation_state":"computed","paper":{"title":"Unified Halo-Independent Formalism From Convex Hulls for Direct Dark Matter Searches","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"hep-ph","authors_text":"Graciela B. Gelmini, Ji-Haeng Huh, Samuel J. Witte","submitted_at":"2017-07-21T18:40:47Z","abstract_excerpt":"Using the Fenchel-Eggleston theorem for convex hulls (an extension of the Caratheodory theorem), we prove that any likelihood can be maximized by either a dark matter 1- speed distribution $F(v)$ in Earth's frame or 2- Galactic velocity distribution $f^{\\rm gal}(\\vec{u})$, consisting of a sum of delta functions. The former case applies only to time-averaged rate measurements and the maximum number of delta functions is $({\\mathcal N}-1)$, where ${\\mathcal N}$ is the total number of data entries. The second case applies to any harmonic expansion coefficient of the time-dependent rate and the ma"},"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":"1707.07019","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-07-21T18:40:47Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"1887893f9686afa32a3125dae7f996a63a51e0248e5b2d5c816d193b101ccbee","abstract_canon_sha256":"9203f45c41d056bfe070d3a43e7b6d04150c9b4e80f54107d7f980b3c4dfdea3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:29.577758Z","signature_b64":"Wp5I4X7RgU+cs+zxWxGMZlUK8Bm86rzzfV6yfWliCBlQlQC/jpTsNvPLtnqSAqASpnfUNIJOJsFKguShjtcECg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e6f808596a2853d1e738742be5322fb67e91f990dd4c835fe25e6115553d3fb","last_reissued_at":"2026-05-18T00:26:29.577089Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:29.577089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unified Halo-Independent Formalism From Convex Hulls for Direct Dark Matter Searches","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"hep-ph","authors_text":"Graciela B. Gelmini, Ji-Haeng Huh, Samuel J. Witte","submitted_at":"2017-07-21T18:40:47Z","abstract_excerpt":"Using the Fenchel-Eggleston theorem for convex hulls (an extension of the Caratheodory theorem), we prove that any likelihood can be maximized by either a dark matter 1- speed distribution $F(v)$ in Earth's frame or 2- Galactic velocity distribution $f^{\\rm gal}(\\vec{u})$, consisting of a sum of delta functions. The former case applies only to time-averaged rate measurements and the maximum number of delta functions is $({\\mathcal N}-1)$, where ${\\mathcal N}$ is the total number of data entries. The second case applies to any harmonic expansion coefficient of the time-dependent rate and the ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07019","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1707.07019","created_at":"2026-05-18T00:26:29.577188+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.07019v2","created_at":"2026-05-18T00:26:29.577188+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07019","created_at":"2026-05-18T00:26:29.577188+00:00"},{"alias_kind":"pith_short_12","alias_value":"FZXYBBMWUKCT","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_16","alias_value":"FZXYBBMWUKCT2HTT","created_at":"2026-05-18T12:31:15.632608+00:00"},{"alias_kind":"pith_short_8","alias_value":"FZXYBBMW","created_at":"2026-05-18T12:31:15.632608+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/FZXYBBMWUKCT2HTTQ5BL4UZC7N","json":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N.json","graph_json":"https://pith.science/api/pith-number/FZXYBBMWUKCT2HTTQ5BL4UZC7N/graph.json","events_json":"https://pith.science/api/pith-number/FZXYBBMWUKCT2HTTQ5BL4UZC7N/events.json","paper":"https://pith.science/paper/FZXYBBMW"},"agent_actions":{"view_html":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N","download_json":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N.json","view_paper":"https://pith.science/paper/FZXYBBMW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.07019&json=true","fetch_graph":"https://pith.science/api/pith-number/FZXYBBMWUKCT2HTTQ5BL4UZC7N/graph.json","fetch_events":"https://pith.science/api/pith-number/FZXYBBMWUKCT2HTTQ5BL4UZC7N/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/action/storage_attestation","attest_author":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/action/author_attestation","sign_citation":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/action/citation_signature","submit_replication":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/action/replication_record"}},"created_at":"2026-05-18T00:26:29.577188+00:00","updated_at":"2026-05-18T00:26:29.577188+00:00"}