{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:I3MZSZCXQJ2BEL7PWPKOXOII42","short_pith_number":"pith:I3MZSZCX","canonical_record":{"source":{"id":"2210.09237","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-17T16:31:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"dac5d45ab42b2fd9d869ceaed901b08dc24fe9e6e00a98e998bfee7b2ffa2dbd","abstract_canon_sha256":"b59125e159e0ec1392d1f44f8ce339b995e2cd8ab3cd5743d18875a43231a569"},"schema_version":"1.0"},"canonical_sha256":"46d99964578274122fefb3d4ebb908e69e2d3d779cda3f81d324f759b0787a5c","source":{"kind":"arxiv","id":"2210.09237","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.09237","created_at":"2026-07-05T05:09:23Z"},{"alias_kind":"arxiv_version","alias_value":"2210.09237v1","created_at":"2026-07-05T05:09:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.09237","created_at":"2026-07-05T05:09:23Z"},{"alias_kind":"pith_short_12","alias_value":"I3MZSZCXQJ2B","created_at":"2026-07-05T05:09:23Z"},{"alias_kind":"pith_short_16","alias_value":"I3MZSZCXQJ2BEL7P","created_at":"2026-07-05T05:09:23Z"},{"alias_kind":"pith_short_8","alias_value":"I3MZSZCX","created_at":"2026-07-05T05:09:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:I3MZSZCXQJ2BEL7PWPKOXOII42","target":"record","payload":{"canonical_record":{"source":{"id":"2210.09237","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-17T16:31:58Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"dac5d45ab42b2fd9d869ceaed901b08dc24fe9e6e00a98e998bfee7b2ffa2dbd","abstract_canon_sha256":"b59125e159e0ec1392d1f44f8ce339b995e2cd8ab3cd5743d18875a43231a569"},"schema_version":"1.0"},"canonical_sha256":"46d99964578274122fefb3d4ebb908e69e2d3d779cda3f81d324f759b0787a5c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:09:23.519864Z","signature_b64":"K+JTDftgJD6nBTZ7EylWdu/POPXfZ3BzVcY1Oje/k+Amhi6JXirv9fAPNBGAZJa7RsM/KL9884UUM8f+6aRhDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46d99964578274122fefb3d4ebb908e69e2d3d779cda3f81d324f759b0787a5c","last_reissued_at":"2026-07-05T05:09:23.519393Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:09:23.519393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.09237","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":"2026-07-05T05:09:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oRw7xD3El7CAxpIAp2esJeLZMdPO3vlSoSnB6HYjz4e8EA4B97zQp6bv0X+IWZgk/76ZvH5EYIGVdM14pZHRAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:55:48.233592Z"},"content_sha256":"0cd631bbd0e27aa32271d7ca56e52fdc164994806eb3fd1a43cba2ccfad24f4a","schema_version":"1.0","event_id":"sha256:0cd631bbd0e27aa32271d7ca56e52fdc164994806eb3fd1a43cba2ccfad24f4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:I3MZSZCXQJ2BEL7PWPKOXOII42","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reconstruction of $\\Lambda$CDM Universe in $f(Q)$ Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Gaurav N. Gadbail, P.K. Sahoo, Sanjay Mandal","submitted_at":"2022-10-17T16:31:58Z","abstract_excerpt":"In this manuscript, we present a number of fascinating explicit reconstructions for the $f(Q)$ gravity from the background of Friedmann-La\\^imatre-Robertson-Walker (FLRW) evolution history. We find the more general functions of non-metricity scalar $Q$ that admit exact $\\Lambda$CDM expansion history. Adding extra degrees of freedom to the matter sector is the only method to get the scale factor to behave in this manner for more generic functions of $Q$. In addition, a cosmological reconstruction for modified $f(Q)$ gravity is constructed in terms of e-folding. It is shown how any FLRW cosmolog"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.09237","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/2210.09237/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":"2026-07-05T05:09:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AuHf0sPuSl18+fiul8WnVU3V3U0iPaC/Yw4HDBCbPhKyMbc2aTbK6wy4WSfYNnPGaHXQ2cJA/aF0WYFFb9ojDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T19:55:48.234111Z"},"content_sha256":"5c3003cc6767215a63583585c69e1d6b128949249fa88ad79592510460fcbe9b","schema_version":"1.0","event_id":"sha256:5c3003cc6767215a63583585c69e1d6b128949249fa88ad79592510460fcbe9b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I3MZSZCXQJ2BEL7PWPKOXOII42/bundle.json","state_url":"https://pith.science/pith/I3MZSZCXQJ2BEL7PWPKOXOII42/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I3MZSZCXQJ2BEL7PWPKOXOII42/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":"2026-08-11T19:55:48Z","links":{"resolver":"https://pith.science/pith/I3MZSZCXQJ2BEL7PWPKOXOII42","bundle":"https://pith.science/pith/I3MZSZCXQJ2BEL7PWPKOXOII42/bundle.json","state":"https://pith.science/pith/I3MZSZCXQJ2BEL7PWPKOXOII42/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I3MZSZCXQJ2BEL7PWPKOXOII42/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:I3MZSZCXQJ2BEL7PWPKOXOII42","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":"b59125e159e0ec1392d1f44f8ce339b995e2cd8ab3cd5743d18875a43231a569","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-17T16:31:58Z","title_canon_sha256":"dac5d45ab42b2fd9d869ceaed901b08dc24fe9e6e00a98e998bfee7b2ffa2dbd"},"schema_version":"1.0","source":{"id":"2210.09237","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.09237","created_at":"2026-07-05T05:09:23Z"},{"alias_kind":"arxiv_version","alias_value":"2210.09237v1","created_at":"2026-07-05T05:09:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.09237","created_at":"2026-07-05T05:09:23Z"},{"alias_kind":"pith_short_12","alias_value":"I3MZSZCXQJ2B","created_at":"2026-07-05T05:09:23Z"},{"alias_kind":"pith_short_16","alias_value":"I3MZSZCXQJ2BEL7P","created_at":"2026-07-05T05:09:23Z"},{"alias_kind":"pith_short_8","alias_value":"I3MZSZCX","created_at":"2026-07-05T05:09:23Z"}],"graph_snapshots":[{"event_id":"sha256:5c3003cc6767215a63583585c69e1d6b128949249fa88ad79592510460fcbe9b","target":"graph","created_at":"2026-07-05T05:09:23Z","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/2210.09237/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this manuscript, we present a number of fascinating explicit reconstructions for the $f(Q)$ gravity from the background of Friedmann-La\\^imatre-Robertson-Walker (FLRW) evolution history. We find the more general functions of non-metricity scalar $Q$ that admit exact $\\Lambda$CDM expansion history. Adding extra degrees of freedom to the matter sector is the only method to get the scale factor to behave in this manner for more generic functions of $Q$. In addition, a cosmological reconstruction for modified $f(Q)$ gravity is constructed in terms of e-folding. It is shown how any FLRW cosmolog","authors_text":"Gaurav N. Gadbail, P.K. Sahoo, Sanjay Mandal","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-17T16:31:58Z","title":"Reconstruction of $\\Lambda$CDM Universe in $f(Q)$ Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.09237","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":"sha256:0cd631bbd0e27aa32271d7ca56e52fdc164994806eb3fd1a43cba2ccfad24f4a","target":"record","created_at":"2026-07-05T05:09:23Z","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":"b59125e159e0ec1392d1f44f8ce339b995e2cd8ab3cd5743d18875a43231a569","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-10-17T16:31:58Z","title_canon_sha256":"dac5d45ab42b2fd9d869ceaed901b08dc24fe9e6e00a98e998bfee7b2ffa2dbd"},"schema_version":"1.0","source":{"id":"2210.09237","kind":"arxiv","version":1}},"canonical_sha256":"46d99964578274122fefb3d4ebb908e69e2d3d779cda3f81d324f759b0787a5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46d99964578274122fefb3d4ebb908e69e2d3d779cda3f81d324f759b0787a5c","first_computed_at":"2026-07-05T05:09:23.519393Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:09:23.519393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K+JTDftgJD6nBTZ7EylWdu/POPXfZ3BzVcY1Oje/k+Amhi6JXirv9fAPNBGAZJa7RsM/KL9884UUM8f+6aRhDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:09:23.519864Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.09237","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cd631bbd0e27aa32271d7ca56e52fdc164994806eb3fd1a43cba2ccfad24f4a","sha256:5c3003cc6767215a63583585c69e1d6b128949249fa88ad79592510460fcbe9b"],"state_sha256":"21b8b91894acbb7b6af7f904def2e273b43cae1eb927ca8681bbd943c7278c1d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ji+jVIb1ODm1PK9ABR2rr5w8alkP+zRx6IlpLbV7rU13diMSfYDAFTjlZbXa7cjXKEU5DqHjTBTIUmWIAr6lAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T19:55:48.239471Z","bundle_sha256":"88bd0a14c7ec2bd284d487cfaebd04ca58ed6c01b6069d5509f5dc51b96f7d59"}}