{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4WYYSLAKADSCJQK2XNXAKOAY4X","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":"55affa5918762705dcf46da3f42b12022d7d634770e9cd3763a9f9300444d0ba","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2025-06-26T07:34:05Z","title_canon_sha256":"3e568ac3f46be39886ab46b8b3b4ed4e2490864f9f5799ce52419b1b45389e29"},"schema_version":"1.0","source":{"id":"2506.21646","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.21646","created_at":"2026-07-05T11:27:57Z"},{"alias_kind":"arxiv_version","alias_value":"2506.21646v1","created_at":"2026-07-05T11:27:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.21646","created_at":"2026-07-05T11:27:57Z"},{"alias_kind":"pith_short_12","alias_value":"4WYYSLAKADSC","created_at":"2026-07-05T11:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"4WYYSLAKADSCJQK2","created_at":"2026-07-05T11:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"4WYYSLAK","created_at":"2026-07-05T11:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:ee50579a7e807edc6096ceb27524ede348f70c45fa4f6c0cf821b1893b87edd8","target":"graph","created_at":"2026-07-05T11:27:57Z","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/2506.21646/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Symmetric teleparallel gravity is one among the general relativistic trinity which deals with the non-metricity scalar $Q$. In the Einstein Hilbert action, a function of $Q$ is chosen to be the main contributory part of the Lagrangian and a modified theory of gravity is constructed. In literature, different structures of the function of $Q$ are found which sustain several astrophysical observations like Big Bang nucleosynthesis, late-time cosmic acceleration etc. Autonomous systems for each such models with different $f(Q)$ structures are constructed. Corresponding fixed points and their stabi","authors_text":"Promila Biswas, Ritabrata Biswas, Satyajit Pal, Subhajit Pal","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2025-06-26T07:34:05Z","title":"Cosmology with Distinct Functions $f$ of the Non-metricity Scalar $Q$ : A Dynamical System Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.21646","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":"sha256:65376642235693cbd01ed31f9937f9bda7baddea4671ad53fef05ba85b440377","target":"record","created_at":"2026-07-05T11:27:57Z","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":"55affa5918762705dcf46da3f42b12022d7d634770e9cd3763a9f9300444d0ba","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2025-06-26T07:34:05Z","title_canon_sha256":"3e568ac3f46be39886ab46b8b3b4ed4e2490864f9f5799ce52419b1b45389e29"},"schema_version":"1.0","source":{"id":"2506.21646","kind":"arxiv","version":1}},"canonical_sha256":"e5b1892c0a00e424c15abb6e053818e5f0e7c97fd9c9bb4eb895339375e6c109","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5b1892c0a00e424c15abb6e053818e5f0e7c97fd9c9bb4eb895339375e6c109","first_computed_at":"2026-07-05T11:27:57.930709Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:27:57.930709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H1IFcytMNua3v1GAAi3H8cwZhLOF9LsztLS8wWDlp5f3AaRMO1X4xBdEXL8+XxCgBqAxUjgZZAkBLmA3i8XqBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:27:57.931172Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.21646","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65376642235693cbd01ed31f9937f9bda7baddea4671ad53fef05ba85b440377","sha256:ee50579a7e807edc6096ceb27524ede348f70c45fa4f6c0cf821b1893b87edd8"],"state_sha256":"b47fa7c7e18b5b70c2ef3542d7fc8417051a44dfd1fbeb9af2f6be29718fb8ea"}