{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QNPRLYPPDQVFYX4B6XKOFTSDCC","short_pith_number":"pith:QNPRLYPP","canonical_record":{"source":{"id":"1010.2058","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-10-11T10:27:33Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"f3f00a7ebad6c88b7bb4f9fcf6178a1ccda9a5c7764996332060da499ee35881","abstract_canon_sha256":"d077f9ddadc051cc1aa0029dd622c04eb24a769b30f4e65255e9392f216dc279"},"schema_version":"1.0"},"canonical_sha256":"835f15e1ef1c2a5c5f81f5d4e2ce4310ae98689e852b0a5e1b8a44e9ec333594","source":{"kind":"arxiv","id":"1010.2058","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2058","created_at":"2026-05-18T04:33:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2058v1","created_at":"2026-05-18T04:33:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2058","created_at":"2026-05-18T04:33:38Z"},{"alias_kind":"pith_short_12","alias_value":"QNPRLYPPDQVF","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QNPRLYPPDQVFYX4B","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QNPRLYPP","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QNPRLYPPDQVFYX4B6XKOFTSDCC","target":"record","payload":{"canonical_record":{"source":{"id":"1010.2058","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-10-11T10:27:33Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"f3f00a7ebad6c88b7bb4f9fcf6178a1ccda9a5c7764996332060da499ee35881","abstract_canon_sha256":"d077f9ddadc051cc1aa0029dd622c04eb24a769b30f4e65255e9392f216dc279"},"schema_version":"1.0"},"canonical_sha256":"835f15e1ef1c2a5c5f81f5d4e2ce4310ae98689e852b0a5e1b8a44e9ec333594","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:38.685494Z","signature_b64":"U8cU0OENTshdiL8n3V84IcYGP0tikXCvAB0KuFj0ePxSB3ntfjFLn//SMBDCybxkhni399isieAKvI0xaA2hAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"835f15e1ef1c2a5c5f81f5d4e2ce4310ae98689e852b0a5e1b8a44e9ec333594","last_reissued_at":"2026-05-18T04:33:38.684957Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:38.684957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.2058","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":"2026-05-18T04:33:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xwrx8W6Yvp9l+Lg4C01CgB2cRytR4jcRoMxbTirEWHIKsyLA0NXInnfz/NO2uCJkRdrnOY5n/y2Es5RAvKCYDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:06:22.310708Z"},"content_sha256":"527bf18ebc9cb977b4a144c5247908a5898b71bcee30f4f720022f7dc6689416","schema_version":"1.0","event_id":"sha256:527bf18ebc9cb977b4a144c5247908a5898b71bcee30f4f720022f7dc6689416"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QNPRLYPPDQVFYX4B6XKOFTSDCC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Observational Constraints on Exponential Gravity","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"astro-ph.CO","authors_text":"Chao-Qiang Geng, Chung-Chi Lee, Ling-Wei Luo, Louis Yang","submitted_at":"2010-10-11T10:27:33Z","abstract_excerpt":"We study the observational constraints on the exponential gravity model of f(R)=-beta*Rs(1-e^(-R/Rs)). We use the latest observational data including Supernova Cosmology Project (SCP) Union2 compilation, Two-Degree Field Galaxy Redshift Survey (2dFGRS), Sloan Digital Sky Survey Data Release 7 (SDSS DR7) and Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP7) in our analysis. From these observations, we obtain a lower bound on the model parameter beta at 1.27 (95% CL) but no appreciable upper bound. The constraint on the present matter density parameter is 0.245< Omega_m^0<0.311 (95% CL). W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2058","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":"2026-05-18T04:33:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rfe9XmzEM1CVuLbpVwyWY+AH5wrzCBIBr3gn4SFa4AMJOqDhfC1uMu7IkD8GPUx8oy6m2phUovDFr9VRW5j/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:06:22.311170Z"},"content_sha256":"f93a0af0525f312489925b9a87b78fd2af61095197e79bb97481c8e45f85ad32","schema_version":"1.0","event_id":"sha256:f93a0af0525f312489925b9a87b78fd2af61095197e79bb97481c8e45f85ad32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QNPRLYPPDQVFYX4B6XKOFTSDCC/bundle.json","state_url":"https://pith.science/pith/QNPRLYPPDQVFYX4B6XKOFTSDCC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QNPRLYPPDQVFYX4B6XKOFTSDCC/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":"2026-06-02T13:06:22Z","links":{"resolver":"https://pith.science/pith/QNPRLYPPDQVFYX4B6XKOFTSDCC","bundle":"https://pith.science/pith/QNPRLYPPDQVFYX4B6XKOFTSDCC/bundle.json","state":"https://pith.science/pith/QNPRLYPPDQVFYX4B6XKOFTSDCC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QNPRLYPPDQVFYX4B6XKOFTSDCC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QNPRLYPPDQVFYX4B6XKOFTSDCC","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":"d077f9ddadc051cc1aa0029dd622c04eb24a769b30f4e65255e9392f216dc279","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-10-11T10:27:33Z","title_canon_sha256":"f3f00a7ebad6c88b7bb4f9fcf6178a1ccda9a5c7764996332060da499ee35881"},"schema_version":"1.0","source":{"id":"1010.2058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2058","created_at":"2026-05-18T04:33:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2058v1","created_at":"2026-05-18T04:33:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2058","created_at":"2026-05-18T04:33:38Z"},{"alias_kind":"pith_short_12","alias_value":"QNPRLYPPDQVF","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QNPRLYPPDQVFYX4B","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QNPRLYPP","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:f93a0af0525f312489925b9a87b78fd2af61095197e79bb97481c8e45f85ad32","target":"graph","created_at":"2026-05-18T04:33:38Z","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 study the observational constraints on the exponential gravity model of f(R)=-beta*Rs(1-e^(-R/Rs)). We use the latest observational data including Supernova Cosmology Project (SCP) Union2 compilation, Two-Degree Field Galaxy Redshift Survey (2dFGRS), Sloan Digital Sky Survey Data Release 7 (SDSS DR7) and Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP7) in our analysis. From these observations, we obtain a lower bound on the model parameter beta at 1.27 (95% CL) but no appreciable upper bound. The constraint on the present matter density parameter is 0.245< Omega_m^0<0.311 (95% CL). W","authors_text":"Chao-Qiang Geng, Chung-Chi Lee, Ling-Wei Luo, Louis Yang","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-10-11T10:27:33Z","title":"Observational Constraints on Exponential Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2058","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":"sha256:527bf18ebc9cb977b4a144c5247908a5898b71bcee30f4f720022f7dc6689416","target":"record","created_at":"2026-05-18T04:33:38Z","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":"d077f9ddadc051cc1aa0029dd622c04eb24a769b30f4e65255e9392f216dc279","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-10-11T10:27:33Z","title_canon_sha256":"f3f00a7ebad6c88b7bb4f9fcf6178a1ccda9a5c7764996332060da499ee35881"},"schema_version":"1.0","source":{"id":"1010.2058","kind":"arxiv","version":1}},"canonical_sha256":"835f15e1ef1c2a5c5f81f5d4e2ce4310ae98689e852b0a5e1b8a44e9ec333594","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"835f15e1ef1c2a5c5f81f5d4e2ce4310ae98689e852b0a5e1b8a44e9ec333594","first_computed_at":"2026-05-18T04:33:38.684957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:38.684957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U8cU0OENTshdiL8n3V84IcYGP0tikXCvAB0KuFj0ePxSB3ntfjFLn//SMBDCybxkhni399isieAKvI0xaA2hAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:38.685494Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:527bf18ebc9cb977b4a144c5247908a5898b71bcee30f4f720022f7dc6689416","sha256:f93a0af0525f312489925b9a87b78fd2af61095197e79bb97481c8e45f85ad32"],"state_sha256":"e8c2a147d4a3656ebfdfe0c02b7f898577150e23df8980aa773cf52650a4fe2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3541a3+++WZFsoBS8oJ7I1+NEO1MV/s3U+bCxjU713eZ/OnlUU8l+sjpDzmkzXv4mO0SOBz9BHOCv7TvN8fTAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:06:22.314439Z","bundle_sha256":"7ac5d4942bc610d6f395887ce9fb8b58027db92df2a581622700ad5b48bc1a3c"}}