{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BYK5FGIYBYGWTNFDWEHX4DMHG4","short_pith_number":"pith:BYK5FGIY","canonical_record":{"source":{"id":"1604.07910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-04-27T02:38:40Z","cross_cats_sorted":[],"title_canon_sha256":"85d4b237cc92173a519723c49458ae0da8a24a71f556457eeb81fcf565655d42","abstract_canon_sha256":"513452b8e881cfb3e4087f141bb5632556cff573f31798642c2d48160ae164f1"},"schema_version":"1.0"},"canonical_sha256":"0e15d299180e0d69b4a3b10f7e0d87373aa51ef15fea7fbd46c4a4df3d9c6f54","source":{"kind":"arxiv","id":"1604.07910","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07910","created_at":"2026-05-18T00:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07910v1","created_at":"2026-05-18T00:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07910","created_at":"2026-05-18T00:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"BYK5FGIYBYGW","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"BYK5FGIYBYGWTNFD","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"BYK5FGIY","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BYK5FGIYBYGWTNFDWEHX4DMHG4","target":"record","payload":{"canonical_record":{"source":{"id":"1604.07910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-04-27T02:38:40Z","cross_cats_sorted":[],"title_canon_sha256":"85d4b237cc92173a519723c49458ae0da8a24a71f556457eeb81fcf565655d42","abstract_canon_sha256":"513452b8e881cfb3e4087f141bb5632556cff573f31798642c2d48160ae164f1"},"schema_version":"1.0"},"canonical_sha256":"0e15d299180e0d69b4a3b10f7e0d87373aa51ef15fea7fbd46c4a4df3d9c6f54","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:46.966764Z","signature_b64":"/6ZSgU8wTbTYL/WLIVBtO7kr9zGB3fjMn0/pmOOCzktLwPjmyNcRYOeNS/rnJfTRJWgni684MFIMVQ5kVAyJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e15d299180e0d69b4a3b10f7e0d87373aa51ef15fea7fbd46c4a4df3d9c6f54","last_reissued_at":"2026-05-18T00:26:46.965904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:46.965904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.07910","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:26:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ABLQLRXGO+hINRZ798CjrUeKUfPZyppmuCh90LZi8Mqwf31Rw4lxajky5UdyEJlGvd+PvhvJbvqYg6gscE7ABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:41:56.981556Z"},"content_sha256":"16e98b628a32cc0f2634956c9abedfbb0a6ead54041779c668b88186e60f9da9","schema_version":"1.0","event_id":"sha256:16e98b628a32cc0f2634956c9abedfbb0a6ead54041779c668b88186e60f9da9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BYK5FGIYBYGWTNFDWEHX4DMHG4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"What are $Omh^2(z_1,z_2)$ and $Om(z_1,z_2)$ diagnostics telling us in light of $H(z)$ data?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Marek Biesiada, Shuo Cao, Xiaogang Zheng, Xuheng Ding, Zonghong Zhu","submitted_at":"2016-04-27T02:38:40Z","abstract_excerpt":"Two-point diagnostics $Om(z_i,z_j)$ and $Omh^2(z_i,z_j)$ have been introduced as an interesting tool for testing the validity of the $\\Lambda$CDM model. Quite recently, Sahni, Shafieloo $\\&$ Starobinsky (2014) combined two independent measurements of $H(z)$ from BAO data with the value of the Hubble constant $H_0$, and used the second of these diagnostics to test the $\\Lambda$CDM model. Their result indicated a considerable tension between observations and predictions of the $\\Lambda$CDM model. Since reliable data concerning expansion rates of the Universe at different redshifts $H(z)$ are cru"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07910","kind":"arxiv","version":1},"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":"2026-05-18T00:26:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0crl9GqMpxGNfDVHc01TDMf3qmaW4hq5qkQ249NOFfzcI9A3kn5GpqHLQZRShC+gueF0W1olPHfflAgNbo6IBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:41:56.981900Z"},"content_sha256":"3a7b0b7cf579396a7875e17b2858e77de9f701e33cc5649aa415162b523ffe48","schema_version":"1.0","event_id":"sha256:3a7b0b7cf579396a7875e17b2858e77de9f701e33cc5649aa415162b523ffe48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BYK5FGIYBYGWTNFDWEHX4DMHG4/bundle.json","state_url":"https://pith.science/pith/BYK5FGIYBYGWTNFDWEHX4DMHG4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BYK5FGIYBYGWTNFDWEHX4DMHG4/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":"2026-06-02T15:41:56Z","links":{"resolver":"https://pith.science/pith/BYK5FGIYBYGWTNFDWEHX4DMHG4","bundle":"https://pith.science/pith/BYK5FGIYBYGWTNFDWEHX4DMHG4/bundle.json","state":"https://pith.science/pith/BYK5FGIYBYGWTNFDWEHX4DMHG4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BYK5FGIYBYGWTNFDWEHX4DMHG4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BYK5FGIYBYGWTNFDWEHX4DMHG4","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":"513452b8e881cfb3e4087f141bb5632556cff573f31798642c2d48160ae164f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-04-27T02:38:40Z","title_canon_sha256":"85d4b237cc92173a519723c49458ae0da8a24a71f556457eeb81fcf565655d42"},"schema_version":"1.0","source":{"id":"1604.07910","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07910","created_at":"2026-05-18T00:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07910v1","created_at":"2026-05-18T00:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07910","created_at":"2026-05-18T00:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"BYK5FGIYBYGW","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"BYK5FGIYBYGWTNFD","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"BYK5FGIY","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:3a7b0b7cf579396a7875e17b2858e77de9f701e33cc5649aa415162b523ffe48","target":"graph","created_at":"2026-05-18T00:26:46Z","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":"Two-point diagnostics $Om(z_i,z_j)$ and $Omh^2(z_i,z_j)$ have been introduced as an interesting tool for testing the validity of the $\\Lambda$CDM model. Quite recently, Sahni, Shafieloo $\\&$ Starobinsky (2014) combined two independent measurements of $H(z)$ from BAO data with the value of the Hubble constant $H_0$, and used the second of these diagnostics to test the $\\Lambda$CDM model. Their result indicated a considerable tension between observations and predictions of the $\\Lambda$CDM model. Since reliable data concerning expansion rates of the Universe at different redshifts $H(z)$ are cru","authors_text":"Marek Biesiada, Shuo Cao, Xiaogang Zheng, Xuheng Ding, Zonghong Zhu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-04-27T02:38:40Z","title":"What are $Omh^2(z_1,z_2)$ and $Om(z_1,z_2)$ diagnostics telling us in light of $H(z)$ data?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07910","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":"sha256:16e98b628a32cc0f2634956c9abedfbb0a6ead54041779c668b88186e60f9da9","target":"record","created_at":"2026-05-18T00:26:46Z","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":"513452b8e881cfb3e4087f141bb5632556cff573f31798642c2d48160ae164f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-04-27T02:38:40Z","title_canon_sha256":"85d4b237cc92173a519723c49458ae0da8a24a71f556457eeb81fcf565655d42"},"schema_version":"1.0","source":{"id":"1604.07910","kind":"arxiv","version":1}},"canonical_sha256":"0e15d299180e0d69b4a3b10f7e0d87373aa51ef15fea7fbd46c4a4df3d9c6f54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e15d299180e0d69b4a3b10f7e0d87373aa51ef15fea7fbd46c4a4df3d9c6f54","first_computed_at":"2026-05-18T00:26:46.965904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:46.965904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/6ZSgU8wTbTYL/WLIVBtO7kr9zGB3fjMn0/pmOOCzktLwPjmyNcRYOeNS/rnJfTRJWgni684MFIMVQ5kVAyJCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:46.966764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07910","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16e98b628a32cc0f2634956c9abedfbb0a6ead54041779c668b88186e60f9da9","sha256:3a7b0b7cf579396a7875e17b2858e77de9f701e33cc5649aa415162b523ffe48"],"state_sha256":"6ffdb5c141636f5f7402c3ec5035c9d7b63425349ca32dafedd861297795bb86"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VtwDqG2nxrWDH77W1WBCgc0+ND08D2Z39K9V1kIoJ3ZQgjNwx0c3DKoE1ZHtD9df27i1QWlW2ZU+VNL/3ObUDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:41:56.983979Z","bundle_sha256":"7769ec3321bc9488750e2ea540d67e415784342b209705adf88fa09091edee79"}}