{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:QNIN7DXB5IKNIFPUDNBSS6DMNV","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":"f026a789a1b880b9f684f80e46759b148f10cdff72c5810e167ff459e66eb914","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-12-02T16:49:25Z","title_canon_sha256":"510b03bec37eb62628000a0643b5e31f5636de1f82e74840a1429d549cda75a4"},"schema_version":"1.0","source":{"id":"0912.0462","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.0462","created_at":"2026-05-18T02:34:02Z"},{"alias_kind":"arxiv_version","alias_value":"0912.0462v3","created_at":"2026-05-18T02:34:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0462","created_at":"2026-05-18T02:34:02Z"},{"alias_kind":"pith_short_12","alias_value":"QNIN7DXB5IKN","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"QNIN7DXB5IKNIFPU","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"QNIN7DXB","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:e7578f90950e233473cbc78258441e7ad80a538e56abfa2bb734346597f11fa4","target":"graph","created_at":"2026-05-18T02:34:02Z","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":"We consider the growth of cosmological perturbations in modified gravity models where a scalar field mediates a non-universal Yukawa force between different matter species. The growth of the density contrast is altered for scales below the Compton wave-length of the scalar field. As the universe expands, the Compton wave-length varies in time in such a way that scales which were outside the range of the scalar field force may  feel it at a lower  redshift. In this case, both the exponent $\\gamma$ measuring  the growth of Cold Dark Matter perturbations and the slip function representing  the ra","authors_text":"Anne-Christine Davis, Carsten van de Bruck, Douglas Shaw, Philippe Brax","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-12-02T16:49:25Z","title":"Modifying Gravity at Low Redshift"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0462","kind":"arxiv","version":3},"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":"sha256:354c5e03a760bd233943cd3544330e9e7b7b61bc8f13d3bd7c9dcd2552bb43e7","target":"record","created_at":"2026-05-18T02:34:02Z","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":"f026a789a1b880b9f684f80e46759b148f10cdff72c5810e167ff459e66eb914","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-12-02T16:49:25Z","title_canon_sha256":"510b03bec37eb62628000a0643b5e31f5636de1f82e74840a1429d549cda75a4"},"schema_version":"1.0","source":{"id":"0912.0462","kind":"arxiv","version":3}},"canonical_sha256":"8350df8ee1ea14d415f41b4329786c6d48c30588b2bd93d7be48ecfd733cd165","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8350df8ee1ea14d415f41b4329786c6d48c30588b2bd93d7be48ecfd733cd165","first_computed_at":"2026-05-18T02:34:02.587808Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:02.587808Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"etqwDE0EdNaD+GdT+wTdk9NT4PX0TsX833bnTRo3AQVk8s+UdYd5XH+Zuuh3TB6hHOgKTnUFxn9yGhrlHPEaCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:02.588444Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.0462","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:354c5e03a760bd233943cd3544330e9e7b7b61bc8f13d3bd7c9dcd2552bb43e7","sha256:e7578f90950e233473cbc78258441e7ad80a538e56abfa2bb734346597f11fa4"],"state_sha256":"a815b1dfe5a2a3d2a30a97168465df0a8ae48985ae07fe2acb67d059bdc2c1c2"}