{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HM4UIDFT5REBBSGZRGWX2PGL5P","short_pith_number":"pith:HM4UIDFT","schema_version":"1.0","canonical_sha256":"3b39440cb3ec4810c8d989ad7d3ccbebfcd305a65ef668eb7a785cb2e85d74b8","source":{"kind":"arxiv","id":"1612.06595","version":2},"attestation_state":"computed","paper":{"title":"Cluster-Void Degeneracy Breaking: Modified Gravity in the Balance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Joseph Silk, Martin Sahl\\'en","submitted_at":"2016-12-20T10:31:52Z","abstract_excerpt":"Combining galaxy cluster and void abundances is a novel, powerful way to constrain deviations from General Relativity and the $\\Lambda$CDM model. For a flat $w$CDM model with growth of large-scale structure parameterized by the redshift-dependent growth index $\\gamma(z) = \\gamma_0 + \\gamma_1 z/(1+z)$ of linear matter perturbations, combining void and cluster abundances in future surveys with Euclid and the 4-metre Multi-Object Spectroscopic Telescope (4MOST) could improve the Figure of Merit for ($w, \\gamma_0, \\gamma_1$) by a factor of 20 compared to individual abundances. In an ideal case, im"},"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":"1612.06595","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-12-20T10:31:52Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f3cc24444cdab2a1c6a3055a93d2e824333fdb9217cecf24d670cdfac7ca0887","abstract_canon_sha256":"7f4488658c07e2e8e3f4c02e8536a7c9f66feaa3eb91ffb882a7a5cdc61d210c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:50.861271Z","signature_b64":"WsX51UEQn7g0cOFje/Z2N8BydbM6ABNu6fFlPI5aeW3nDS9d6uA9uiaSTSTNwx+iNiOOybzZsQR4Ao3ofe8yAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b39440cb3ec4810c8d989ad7d3ccbebfcd305a65ef668eb7a785cb2e85d74b8","last_reissued_at":"2026-05-18T00:16:50.860624Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:50.860624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cluster-Void Degeneracy Breaking: Modified Gravity in the Balance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"Joseph Silk, Martin Sahl\\'en","submitted_at":"2016-12-20T10:31:52Z","abstract_excerpt":"Combining galaxy cluster and void abundances is a novel, powerful way to constrain deviations from General Relativity and the $\\Lambda$CDM model. For a flat $w$CDM model with growth of large-scale structure parameterized by the redshift-dependent growth index $\\gamma(z) = \\gamma_0 + \\gamma_1 z/(1+z)$ of linear matter perturbations, combining void and cluster abundances in future surveys with Euclid and the 4-metre Multi-Object Spectroscopic Telescope (4MOST) could improve the Figure of Merit for ($w, \\gamma_0, \\gamma_1$) by a factor of 20 compared to individual abundances. In an ideal case, im"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06595","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":"1612.06595","created_at":"2026-05-18T00:16:50.860722+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.06595v2","created_at":"2026-05-18T00:16:50.860722+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06595","created_at":"2026-05-18T00:16:50.860722+00:00"},{"alias_kind":"pith_short_12","alias_value":"HM4UIDFT5REB","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HM4UIDFT5REBBSGZ","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HM4UIDFT","created_at":"2026-05-18T12:30:19.053100+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/HM4UIDFT5REBBSGZRGWX2PGL5P","json":"https://pith.science/pith/HM4UIDFT5REBBSGZRGWX2PGL5P.json","graph_json":"https://pith.science/api/pith-number/HM4UIDFT5REBBSGZRGWX2PGL5P/graph.json","events_json":"https://pith.science/api/pith-number/HM4UIDFT5REBBSGZRGWX2PGL5P/events.json","paper":"https://pith.science/paper/HM4UIDFT"},"agent_actions":{"view_html":"https://pith.science/pith/HM4UIDFT5REBBSGZRGWX2PGL5P","download_json":"https://pith.science/pith/HM4UIDFT5REBBSGZRGWX2PGL5P.json","view_paper":"https://pith.science/paper/HM4UIDFT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.06595&json=true","fetch_graph":"https://pith.science/api/pith-number/HM4UIDFT5REBBSGZRGWX2PGL5P/graph.json","fetch_events":"https://pith.science/api/pith-number/HM4UIDFT5REBBSGZRGWX2PGL5P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HM4UIDFT5REBBSGZRGWX2PGL5P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HM4UIDFT5REBBSGZRGWX2PGL5P/action/storage_attestation","attest_author":"https://pith.science/pith/HM4UIDFT5REBBSGZRGWX2PGL5P/action/author_attestation","sign_citation":"https://pith.science/pith/HM4UIDFT5REBBSGZRGWX2PGL5P/action/citation_signature","submit_replication":"https://pith.science/pith/HM4UIDFT5REBBSGZRGWX2PGL5P/action/replication_record"}},"created_at":"2026-05-18T00:16:50.860722+00:00","updated_at":"2026-05-18T00:16:50.860722+00:00"}