{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:SPHUVROHV7PPNIND4CJFDOP6EL","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":"1faf4c6606387be85dba48de7ba95fc0a7425965acf12546b5530fa9a4c3ad04","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-04-10T08:56:11Z","title_canon_sha256":"0688a38ffb88ccf393bffd58cf7f2def3fcfb8e93bcf6696ceb5caf8214619df"},"schema_version":"1.0","source":{"id":"0804.1588","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.1588","created_at":"2026-05-18T02:15:53Z"},{"alias_kind":"arxiv_version","alias_value":"0804.1588v1","created_at":"2026-05-18T02:15:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.1588","created_at":"2026-05-18T02:15:53Z"},{"alias_kind":"pith_short_12","alias_value":"SPHUVROHV7PP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"SPHUVROHV7PPNIND","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"SPHUVROH","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:ebc325a00fc22bb42511184d976ff5f1b63a57f0979962b2f822211a682d4a88","target":"graph","created_at":"2026-05-18T02:15:53Z","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":"Empirical theories of Dark Matter like MOND gravity and of Dark Energy like f(R) gravity were motivated by astronomical data. But could these theories be branches rooted from a more general hence natural framework? Here we propose the natural Lagrangian of such a framework based on simple dimensional analysis and co-variant symmetry requirements, and explore various outcomes in a top-down fashion. Our framework preserves the co-variant formulation of GR, but allows the expanding physical metric be bent by a single new species of Dark Fluid flowing in space-time. Its non-uniform stress tensor a","authors_text":"Cambridge), HongSheng Zhao (SUPA, St Andrews) Baojiu Li (DAMTP","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-04-10T08:56:11Z","title":"Dark Fluid: Towards a unification of empirical theories of galaxy rotation, Inflation and Dark Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.1588","kind":"arxiv","version":1},"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":"sha256:6a8aadcbc5e060ebe77b16ec2ba2c057860db64a42d3436b449996b7cb23b922","target":"record","created_at":"2026-05-18T02:15:53Z","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":"1faf4c6606387be85dba48de7ba95fc0a7425965acf12546b5530fa9a4c3ad04","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-04-10T08:56:11Z","title_canon_sha256":"0688a38ffb88ccf393bffd58cf7f2def3fcfb8e93bcf6696ceb5caf8214619df"},"schema_version":"1.0","source":{"id":"0804.1588","kind":"arxiv","version":1}},"canonical_sha256":"93cf4ac5c7afdef6a1a3e09251b9fe22dd1c535aabe3ba6fb59dd36607fcc6f6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93cf4ac5c7afdef6a1a3e09251b9fe22dd1c535aabe3ba6fb59dd36607fcc6f6","first_computed_at":"2026-05-18T02:15:53.825779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:53.825779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BgZxeJa0hBctSM9VKgD7M5jDFPIPNCKl+uGMsf/B6CUmtlftwSFWcJiKc+QNzm+KiEs/vN/ET09KJbf61sr0Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:53.826204Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.1588","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a8aadcbc5e060ebe77b16ec2ba2c057860db64a42d3436b449996b7cb23b922","sha256:ebc325a00fc22bb42511184d976ff5f1b63a57f0979962b2f822211a682d4a88"],"state_sha256":"8b1a3c7a27411760591d782591493be4e3672afe85629d4455dc2936fc1caa4f"}