{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:6W3YSSLC72QE7REID4J6XOPHGD","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":"de2a738b1892ffbc4c166e0a2338380b88ca03ff3586239a13f69a99d64ad688","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-02-02T14:50:28Z","title_canon_sha256":"6e83019d1a24a00e5522c2dbb5b1c500dd83e441859f4659fddf752d8e78aca5"},"schema_version":"1.0","source":{"id":"2102.01525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.01525","created_at":"2026-07-05T02:11:31Z"},{"alias_kind":"arxiv_version","alias_value":"2102.01525v1","created_at":"2026-07-05T02:11:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.01525","created_at":"2026-07-05T02:11:31Z"},{"alias_kind":"pith_short_12","alias_value":"6W3YSSLC72QE","created_at":"2026-07-05T02:11:31Z"},{"alias_kind":"pith_short_16","alias_value":"6W3YSSLC72QE7REI","created_at":"2026-07-05T02:11:31Z"},{"alias_kind":"pith_short_8","alias_value":"6W3YSSLC","created_at":"2026-07-05T02:11:31Z"}],"graph_snapshots":[{"event_id":"sha256:abd43af6bf91673ef7a243035cc8845ce324a13371baf048c110641fcc226b4f","target":"graph","created_at":"2026-07-05T02:11:31Z","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/2102.01525/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the growth of linear matter density perturbations in a modified gravity approach of scalar field couplings with metric and torsion. In the equivalent scalar-tensor formulation, the matter fields in the Einstein frame interact as usual with an effective dark energy component, whose dynamics is presumably governed by a scalar field that sources a torsion mode. As a consequence, the matter density ceases to be self-conserved, thereby making an impact not only on the background cosmological evolution but also on the perturbative spectrum of the local inhomogeneities. In order to estimate ","authors_text":"Mohit Kumar Sharma, Sourav Sur","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-02-02T14:50:28Z","title":"Growth of matter perturbations in an interacting dark energy scenario emerging from metric-scalar-torsion couplings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.01525","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":"sha256:72eeb6d0426cc94db8ee3f6de1ff526afd581de5e8493ad2045c0c1df53afc2e","target":"record","created_at":"2026-07-05T02:11:31Z","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":"de2a738b1892ffbc4c166e0a2338380b88ca03ff3586239a13f69a99d64ad688","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2021-02-02T14:50:28Z","title_canon_sha256":"6e83019d1a24a00e5522c2dbb5b1c500dd83e441859f4659fddf752d8e78aca5"},"schema_version":"1.0","source":{"id":"2102.01525","kind":"arxiv","version":1}},"canonical_sha256":"f5b7894962fea04fc4881f13ebb9e730c317588b7fa9732cd9b1c738570b6d63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5b7894962fea04fc4881f13ebb9e730c317588b7fa9732cd9b1c738570b6d63","first_computed_at":"2026-07-05T02:11:31.371570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:11:31.371570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fq6jhyONy7qVpMa6Dy8H3jsCygbAvjNiUwVasGKUZ64vTcSQkYK0F38G9zT0OavcIlkmGGHiBoJy31OCQOifBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:11:31.371980Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.01525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72eeb6d0426cc94db8ee3f6de1ff526afd581de5e8493ad2045c0c1df53afc2e","sha256:abd43af6bf91673ef7a243035cc8845ce324a13371baf048c110641fcc226b4f"],"state_sha256":"d1bd54304d0f2140ce0104f7413ce802a4dd692b7ad9ee0d360e462037964571"}