{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:MEJ5IGRC2KNMV2ZP4AOPFIR3XW","short_pith_number":"pith:MEJ5IGRC","canonical_record":{"source":{"id":"2202.04637","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-02-09T18:53:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c418cf645b2328c4897b34838c8691bbee7f98449aa2c871b391c25dedb801c1","abstract_canon_sha256":"fdfc74a2ca08754f7f323999ef384635cb3f14a9e85af8aa7145686cc1115a9f"},"schema_version":"1.0"},"canonical_sha256":"6113d41a22d29acaeb2fe01cf2a23bbd8c289b16eb960f9dc0e6ffd711e52827","source":{"kind":"arxiv","id":"2202.04637","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.04637","created_at":"2026-07-05T03:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"2202.04637v1","created_at":"2026-07-05T03:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.04637","created_at":"2026-07-05T03:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"MEJ5IGRC2KNM","created_at":"2026-07-05T03:55:39Z"},{"alias_kind":"pith_short_16","alias_value":"MEJ5IGRC2KNMV2ZP","created_at":"2026-07-05T03:55:39Z"},{"alias_kind":"pith_short_8","alias_value":"MEJ5IGRC","created_at":"2026-07-05T03:55:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:MEJ5IGRC2KNMV2ZP4AOPFIR3XW","target":"record","payload":{"canonical_record":{"source":{"id":"2202.04637","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-02-09T18:53:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"c418cf645b2328c4897b34838c8691bbee7f98449aa2c871b391c25dedb801c1","abstract_canon_sha256":"fdfc74a2ca08754f7f323999ef384635cb3f14a9e85af8aa7145686cc1115a9f"},"schema_version":"1.0"},"canonical_sha256":"6113d41a22d29acaeb2fe01cf2a23bbd8c289b16eb960f9dc0e6ffd711e52827","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:55:39.391827Z","signature_b64":"4NUNA2yyco3iy+pmQoXlBvOJGAwxLWFSGmc/i4fHrC365GCFchw35Duno0zr+yFMj1mv94tHEkj+vncRsQFkAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6113d41a22d29acaeb2fe01cf2a23bbd8c289b16eb960f9dc0e6ffd711e52827","last_reissued_at":"2026-07-05T03:55:39.391289Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:55:39.391289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2202.04637","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":"2026-07-05T03:55:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JqKUB9kdbOCcGURxGUakGS+mqYZYfMcEcWGydWpnUtkFi/7TBpdFz1coowu2wh1ZO9pWzzh/D5N+8m24CiI1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:43:36.218432Z"},"content_sha256":"a371c8e8a70cd540e5b70d94b938be565a7156540c5e6d772822027aacf56672","schema_version":"1.0","event_id":"sha256:a371c8e8a70cd540e5b70d94b938be565a7156540c5e6d772822027aacf56672"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:MEJ5IGRC2KNMV2ZP4AOPFIR3XW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A designer approach to $f(Q)$ gravity and cosmological implications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.CO","authors_text":"In\\^es S. Albuquerque, Noemi Frusciante","submitted_at":"2022-02-09T18:53:24Z","abstract_excerpt":"We investigate the evolution of linear perturbations in the Symmetric Teleparallel Gravity, namely $f(Q)$ gravity, for which we design the $f(Q)$ function to match specific expansion histories. We consider different evolutions of the effective dark energy equation of state, $w_Q(a)$, which includes $w_Q=-1$, a constant $w_Q \\neq -1$ and a fast varying equation of state. We identify clear patterns in the effective gravitational coupling, which accordingly modifies the linear growth of large scale structures. We provide theoretical predictions for the product of the growth rate $\\tilde{f}$ and t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.04637","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2202.04637/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:55:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5YVMz5kXOg2Mos5LTH7i6cFwDSKJvx5lrSoGgeSt63SLTxJbSDBS7SC0tUBjtoU/AvqO5UW5j+Bst6ZlKjd+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:43:36.219007Z"},"content_sha256":"364f5bb5e5ff34794fe04f2c470a2ee63c21d1155b27895c72736e77f0abd558","schema_version":"1.0","event_id":"sha256:364f5bb5e5ff34794fe04f2c470a2ee63c21d1155b27895c72736e77f0abd558"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MEJ5IGRC2KNMV2ZP4AOPFIR3XW/bundle.json","state_url":"https://pith.science/pith/MEJ5IGRC2KNMV2ZP4AOPFIR3XW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MEJ5IGRC2KNMV2ZP4AOPFIR3XW/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":"2026-08-22T06:43:36Z","links":{"resolver":"https://pith.science/pith/MEJ5IGRC2KNMV2ZP4AOPFIR3XW","bundle":"https://pith.science/pith/MEJ5IGRC2KNMV2ZP4AOPFIR3XW/bundle.json","state":"https://pith.science/pith/MEJ5IGRC2KNMV2ZP4AOPFIR3XW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MEJ5IGRC2KNMV2ZP4AOPFIR3XW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:MEJ5IGRC2KNMV2ZP4AOPFIR3XW","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":"fdfc74a2ca08754f7f323999ef384635cb3f14a9e85af8aa7145686cc1115a9f","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-02-09T18:53:24Z","title_canon_sha256":"c418cf645b2328c4897b34838c8691bbee7f98449aa2c871b391c25dedb801c1"},"schema_version":"1.0","source":{"id":"2202.04637","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2202.04637","created_at":"2026-07-05T03:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"2202.04637v1","created_at":"2026-07-05T03:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2202.04637","created_at":"2026-07-05T03:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"MEJ5IGRC2KNM","created_at":"2026-07-05T03:55:39Z"},{"alias_kind":"pith_short_16","alias_value":"MEJ5IGRC2KNMV2ZP","created_at":"2026-07-05T03:55:39Z"},{"alias_kind":"pith_short_8","alias_value":"MEJ5IGRC","created_at":"2026-07-05T03:55:39Z"}],"graph_snapshots":[{"event_id":"sha256:364f5bb5e5ff34794fe04f2c470a2ee63c21d1155b27895c72736e77f0abd558","target":"graph","created_at":"2026-07-05T03:55:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2202.04637/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the evolution of linear perturbations in the Symmetric Teleparallel Gravity, namely $f(Q)$ gravity, for which we design the $f(Q)$ function to match specific expansion histories. We consider different evolutions of the effective dark energy equation of state, $w_Q(a)$, which includes $w_Q=-1$, a constant $w_Q \\neq -1$ and a fast varying equation of state. We identify clear patterns in the effective gravitational coupling, which accordingly modifies the linear growth of large scale structures. We provide theoretical predictions for the product of the growth rate $\\tilde{f}$ and t","authors_text":"In\\^es S. Albuquerque, Noemi Frusciante","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-02-09T18:53:24Z","title":"A designer approach to $f(Q)$ gravity and cosmological implications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.04637","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:a371c8e8a70cd540e5b70d94b938be565a7156540c5e6d772822027aacf56672","target":"record","created_at":"2026-07-05T03:55:39Z","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":"fdfc74a2ca08754f7f323999ef384635cb3f14a9e85af8aa7145686cc1115a9f","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2022-02-09T18:53:24Z","title_canon_sha256":"c418cf645b2328c4897b34838c8691bbee7f98449aa2c871b391c25dedb801c1"},"schema_version":"1.0","source":{"id":"2202.04637","kind":"arxiv","version":1}},"canonical_sha256":"6113d41a22d29acaeb2fe01cf2a23bbd8c289b16eb960f9dc0e6ffd711e52827","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6113d41a22d29acaeb2fe01cf2a23bbd8c289b16eb960f9dc0e6ffd711e52827","first_computed_at":"2026-07-05T03:55:39.391289Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:55:39.391289Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4NUNA2yyco3iy+pmQoXlBvOJGAwxLWFSGmc/i4fHrC365GCFchw35Duno0zr+yFMj1mv94tHEkj+vncRsQFkAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:55:39.391827Z","signed_message":"canonical_sha256_bytes"},"source_id":"2202.04637","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a371c8e8a70cd540e5b70d94b938be565a7156540c5e6d772822027aacf56672","sha256:364f5bb5e5ff34794fe04f2c470a2ee63c21d1155b27895c72736e77f0abd558"],"state_sha256":"ccc0a73420187ad9ab3e3abaa2cd267823de5d154f513225b033d064a6e8acee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1bqeltBynCUJdb9WpMt4TQ9PT6uiW9cncGnKFGMWZZ48dYLvVgjvM4OPBkXoQYrAKYNB27iRsEsJiK5A8XnIDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T06:43:36.223102Z","bundle_sha256":"612fec1e4ce4d887a221c6b9c2d2ffe2c0f43e0a336635e3b5f0e4a99593350b"}}