{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FZXYBBMWUKCT2HTTQ5BL4UZC7N","short_pith_number":"pith:FZXYBBMW","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"},"canonical_sha256":"2e6f808596a2853d1e738742be5322fb67e91f990dd4c835fe25e6115553d3fb","source":{"kind":"arxiv","id":"1707.07019","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07019","created_at":"2026-05-18T00:26:29Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07019v2","created_at":"2026-05-18T00:26:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07019","created_at":"2026-05-18T00:26:29Z"},{"alias_kind":"pith_short_12","alias_value":"FZXYBBMWUKCT","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FZXYBBMWUKCT2HTT","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FZXYBBMW","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FZXYBBMWUKCT2HTTQ5BL4UZC7N","target":"record","payload":{"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"},"canonical_sha256":"2e6f808596a2853d1e738742be5322fb67e91f990dd4c835fe25e6115553d3fb","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"},"source_kind":"arxiv","source_id":"1707.07019","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zT+ZU2Oy1Ebe/PAQJBw8eeQ4n9GX9rnOwhmebwHxsyOXYbz3rhRgCu2vkes+XuSUImklo7wnmL9y6EPEtpUtCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:42:46.869655Z"},"content_sha256":"6dac059c93df9917489a86b2f014f067e4553419754eb805fb301b8dc32db0f8","schema_version":"1.0","event_id":"sha256:6dac059c93df9917489a86b2f014f067e4553419754eb805fb301b8dc32db0f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FZXYBBMWUKCT2HTTQ5BL4UZC7N","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pKKscSCQ8LAUkj3Zv3fGWf86sXbtH/K1YUVTlbUH1ZxDifAsOxM6OjogWYkf9QGgDyVJv1T3wADphFC3A1f1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:42:46.870205Z"},"content_sha256":"95a1f35f9eb2a03a23ce5d635b43cb461b8f2acf17a566c20e946d2f475d1955","schema_version":"1.0","event_id":"sha256:95a1f35f9eb2a03a23ce5d635b43cb461b8f2acf17a566c20e946d2f475d1955"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/bundle.json","state_url":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-08T01:42:46Z","links":{"resolver":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N","bundle":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/bundle.json","state":"https://pith.science/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FZXYBBMWUKCT2HTTQ5BL4UZC7N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FZXYBBMWUKCT2HTTQ5BL4UZC7N","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":"9203f45c41d056bfe070d3a43e7b6d04150c9b4e80f54107d7f980b3c4dfdea3","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-07-21T18:40:47Z","title_canon_sha256":"1887893f9686afa32a3125dae7f996a63a51e0248e5b2d5c816d193b101ccbee"},"schema_version":"1.0","source":{"id":"1707.07019","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07019","created_at":"2026-05-18T00:26:29Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07019v2","created_at":"2026-05-18T00:26:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07019","created_at":"2026-05-18T00:26:29Z"},{"alias_kind":"pith_short_12","alias_value":"FZXYBBMWUKCT","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FZXYBBMWUKCT2HTT","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FZXYBBMW","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:95a1f35f9eb2a03a23ce5d635b43cb461b8f2acf17a566c20e946d2f475d1955","target":"graph","created_at":"2026-05-18T00:26:29Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Graciela B. Gelmini, Ji-Haeng Huh, Samuel J. Witte","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-07-21T18:40:47Z","title":"Unified Halo-Independent Formalism From Convex Hulls for Direct Dark Matter Searches"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07019","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6dac059c93df9917489a86b2f014f067e4553419754eb805fb301b8dc32db0f8","target":"record","created_at":"2026-05-18T00:26:29Z","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":"9203f45c41d056bfe070d3a43e7b6d04150c9b4e80f54107d7f980b3c4dfdea3","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2017-07-21T18:40:47Z","title_canon_sha256":"1887893f9686afa32a3125dae7f996a63a51e0248e5b2d5c816d193b101ccbee"},"schema_version":"1.0","source":{"id":"1707.07019","kind":"arxiv","version":2}},"canonical_sha256":"2e6f808596a2853d1e738742be5322fb67e91f990dd4c835fe25e6115553d3fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e6f808596a2853d1e738742be5322fb67e91f990dd4c835fe25e6115553d3fb","first_computed_at":"2026-05-18T00:26:29.577089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:29.577089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wp5I4X7RgU+cs+zxWxGMZlUK8Bm86rzzfV6yfWliCBlQlQC/jpTsNvPLtnqSAqASpnfUNIJOJsFKguShjtcECg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:29.577758Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07019","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6dac059c93df9917489a86b2f014f067e4553419754eb805fb301b8dc32db0f8","sha256:95a1f35f9eb2a03a23ce5d635b43cb461b8f2acf17a566c20e946d2f475d1955"],"state_sha256":"2348976c9b23fc347e590b76a334e417131c81eb66609c05a57356ef8cd2180e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FK49zPWL9pmWK7B0Ud8vRaLEzZuunfeMqBcIu29p/xD73EO1buzJ21bTK927ReTLgpd7gs7wd/Cpp/lBe/77Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T01:42:46.873493Z","bundle_sha256":"d9a87f41b3b80b8fe4c5d7d59e96ec1a4da00f11ed780cf3322417cdf2eaf15d"}}