{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:JSI5WTUUWZSK2CZHOUWXBWD7Z4","short_pith_number":"pith:JSI5WTUU","canonical_record":{"source":{"id":"2405.11840","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-05-20T07:33:07Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"606d8a49b3594a6860d36561e3489947706265195ee6a9007dc78f12692d0923","abstract_canon_sha256":"8c5ffb7a104ea03569a8ea72c31e550f55e2379dca16c82ce2b4361f4ca88cd0"},"schema_version":"1.0"},"canonical_sha256":"4c91db4e94b664ad0b27752d70d87fcf17470ae2f1f14d68621676eeb9f0bc16","source":{"kind":"arxiv","id":"2405.11840","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.11840","created_at":"2026-07-05T09:26:26Z"},{"alias_kind":"arxiv_version","alias_value":"2405.11840v3","created_at":"2026-07-05T09:26:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.11840","created_at":"2026-07-05T09:26:26Z"},{"alias_kind":"pith_short_12","alias_value":"JSI5WTUUWZSK","created_at":"2026-07-05T09:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"JSI5WTUUWZSK2CZH","created_at":"2026-07-05T09:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"JSI5WTUU","created_at":"2026-07-05T09:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:JSI5WTUUWZSK2CZHOUWXBWD7Z4","target":"record","payload":{"canonical_record":{"source":{"id":"2405.11840","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-05-20T07:33:07Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"606d8a49b3594a6860d36561e3489947706265195ee6a9007dc78f12692d0923","abstract_canon_sha256":"8c5ffb7a104ea03569a8ea72c31e550f55e2379dca16c82ce2b4361f4ca88cd0"},"schema_version":"1.0"},"canonical_sha256":"4c91db4e94b664ad0b27752d70d87fcf17470ae2f1f14d68621676eeb9f0bc16","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:26:26.434077Z","signature_b64":"7JWfPm4dUM7xy5HEPh+VBGsUYO24ddpd06l55BxWBR3rH2H+ue8iobsJXAvkqFI2DhiMO2h+zVgjkiIGU+XqDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c91db4e94b664ad0b27752d70d87fcf17470ae2f1f14d68621676eeb9f0bc16","last_reissued_at":"2026-07-05T09:26:26.433604Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:26:26.433604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.11840","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:26:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QB2ejAhoYMT7LIaCUQhK062H60DUBc/HcW4ovxYt5t6jmVep9oo/AK6Q7Zz1NVnZJ8JJTi6aSRZv68OCQU7vAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:29:07.890381Z"},"content_sha256":"81146cf732a06c9dfecf319dbd214ebc58b44e682d3dfc902e76eb146ba259e0","schema_version":"1.0","event_id":"sha256:81146cf732a06c9dfecf319dbd214ebc58b44e682d3dfc902e76eb146ba259e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:JSI5WTUUWZSK2CZHOUWXBWD7Z4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Growth of cosmic perturbations in the modified $f(R,T)$ gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Ahmad Sheykhi, Mahnaz Asghari","submitted_at":"2024-05-20T07:33:07Z","abstract_excerpt":"We explore the generalized $f(R,T)$ modified theory of gravity, where the gravitational Lagrangian is a function of Ricci scalar $R$ and the trace of the energy-momentum tensor $T$. We derive modified field equations to the linear order of perturbations in the context of $f(R,T)$ model. We then investigate the growth of perturbations in the context of $f(R,T)$ modified gravity. Primary numerical investigations based on matter power spectra diagrams indicate a structure growth suppression in $f(R,T)$ gravity, which exhibits consistency with local measurements. Also, we notice that matter-geomet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.11840","kind":"arxiv","version":3},"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/2405.11840/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":"2026-07-05T09:26:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NlxBPrxgo6BADbDCtPQvOFMFz0YmKDT9+//TWOgGvhg0odo/T7QE/lNSlhhPjZcrx+igfrudZy0XHBfZYLt7Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:29:07.891385Z"},"content_sha256":"0ae26a4eddf956d8ecfcadbfe1454e8b37e601a51fb01a92896831a61a8e1b73","schema_version":"1.0","event_id":"sha256:0ae26a4eddf956d8ecfcadbfe1454e8b37e601a51fb01a92896831a61a8e1b73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JSI5WTUUWZSK2CZHOUWXBWD7Z4/bundle.json","state_url":"https://pith.science/pith/JSI5WTUUWZSK2CZHOUWXBWD7Z4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JSI5WTUUWZSK2CZHOUWXBWD7Z4/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":"2026-08-03T18:29:07Z","links":{"resolver":"https://pith.science/pith/JSI5WTUUWZSK2CZHOUWXBWD7Z4","bundle":"https://pith.science/pith/JSI5WTUUWZSK2CZHOUWXBWD7Z4/bundle.json","state":"https://pith.science/pith/JSI5WTUUWZSK2CZHOUWXBWD7Z4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JSI5WTUUWZSK2CZHOUWXBWD7Z4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JSI5WTUUWZSK2CZHOUWXBWD7Z4","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":"8c5ffb7a104ea03569a8ea72c31e550f55e2379dca16c82ce2b4361f4ca88cd0","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-05-20T07:33:07Z","title_canon_sha256":"606d8a49b3594a6860d36561e3489947706265195ee6a9007dc78f12692d0923"},"schema_version":"1.0","source":{"id":"2405.11840","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.11840","created_at":"2026-07-05T09:26:26Z"},{"alias_kind":"arxiv_version","alias_value":"2405.11840v3","created_at":"2026-07-05T09:26:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.11840","created_at":"2026-07-05T09:26:26Z"},{"alias_kind":"pith_short_12","alias_value":"JSI5WTUUWZSK","created_at":"2026-07-05T09:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"JSI5WTUUWZSK2CZH","created_at":"2026-07-05T09:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"JSI5WTUU","created_at":"2026-07-05T09:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:0ae26a4eddf956d8ecfcadbfe1454e8b37e601a51fb01a92896831a61a8e1b73","target":"graph","created_at":"2026-07-05T09:26:26Z","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/2405.11840/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore the generalized $f(R,T)$ modified theory of gravity, where the gravitational Lagrangian is a function of Ricci scalar $R$ and the trace of the energy-momentum tensor $T$. We derive modified field equations to the linear order of perturbations in the context of $f(R,T)$ model. We then investigate the growth of perturbations in the context of $f(R,T)$ modified gravity. Primary numerical investigations based on matter power spectra diagrams indicate a structure growth suppression in $f(R,T)$ gravity, which exhibits consistency with local measurements. Also, we notice that matter-geomet","authors_text":"Ahmad Sheykhi, Mahnaz Asghari","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-05-20T07:33:07Z","title":"Growth of cosmic perturbations in the modified $f(R,T)$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.11840","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":"sha256:81146cf732a06c9dfecf319dbd214ebc58b44e682d3dfc902e76eb146ba259e0","target":"record","created_at":"2026-07-05T09:26:26Z","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":"8c5ffb7a104ea03569a8ea72c31e550f55e2379dca16c82ce2b4361f4ca88cd0","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-05-20T07:33:07Z","title_canon_sha256":"606d8a49b3594a6860d36561e3489947706265195ee6a9007dc78f12692d0923"},"schema_version":"1.0","source":{"id":"2405.11840","kind":"arxiv","version":3}},"canonical_sha256":"4c91db4e94b664ad0b27752d70d87fcf17470ae2f1f14d68621676eeb9f0bc16","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c91db4e94b664ad0b27752d70d87fcf17470ae2f1f14d68621676eeb9f0bc16","first_computed_at":"2026-07-05T09:26:26.433604Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:26:26.433604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7JWfPm4dUM7xy5HEPh+VBGsUYO24ddpd06l55BxWBR3rH2H+ue8iobsJXAvkqFI2DhiMO2h+zVgjkiIGU+XqDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:26:26.434077Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.11840","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81146cf732a06c9dfecf319dbd214ebc58b44e682d3dfc902e76eb146ba259e0","sha256:0ae26a4eddf956d8ecfcadbfe1454e8b37e601a51fb01a92896831a61a8e1b73"],"state_sha256":"fd716f589155eee1d891fef7f55a408bd3460d5e6da71fcdb9a8651fbf4c47f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hCcpsIIAbEQ7j5DIfCARXhpV1iRfyvHbw79mWKFTZz5jAo/Gin3Jy+QbWPXIjB5p2R2mFiajxq8t/Adea5gdBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T18:29:07.896749Z","bundle_sha256":"c8b765e11f2bcf528669113754466cfe2e199152458516d8ad67e40326e01cb7"}}