{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:HWXE44DR727PC4566WV62UUKNQ","short_pith_number":"pith:HWXE44DR","canonical_record":{"source":{"id":"2206.05110","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-06-08T16:05:36Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a4ed6ce9b8bd33502a1c1b000434b94c5152459890fe6530346e058112176ada","abstract_canon_sha256":"7130391383df4edaee0c8ce5be2a13b93c56c6062ec839f43053a2c69bb1e042"},"schema_version":"1.0"},"canonical_sha256":"3dae4e7071febef173bef5abed528a6c3c1551f5e676ccd1df61caed2fd6a51e","source":{"kind":"arxiv","id":"2206.05110","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.05110","created_at":"2026-07-05T04:46:54Z"},{"alias_kind":"arxiv_version","alias_value":"2206.05110v1","created_at":"2026-07-05T04:46:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.05110","created_at":"2026-07-05T04:46:54Z"},{"alias_kind":"pith_short_12","alias_value":"HWXE44DR727P","created_at":"2026-07-05T04:46:54Z"},{"alias_kind":"pith_short_16","alias_value":"HWXE44DR727PC456","created_at":"2026-07-05T04:46:54Z"},{"alias_kind":"pith_short_8","alias_value":"HWXE44DR","created_at":"2026-07-05T04:46:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:HWXE44DR727PC4566WV62UUKNQ","target":"record","payload":{"canonical_record":{"source":{"id":"2206.05110","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-06-08T16:05:36Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a4ed6ce9b8bd33502a1c1b000434b94c5152459890fe6530346e058112176ada","abstract_canon_sha256":"7130391383df4edaee0c8ce5be2a13b93c56c6062ec839f43053a2c69bb1e042"},"schema_version":"1.0"},"canonical_sha256":"3dae4e7071febef173bef5abed528a6c3c1551f5e676ccd1df61caed2fd6a51e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:46:54.439074Z","signature_b64":"z6un+qhgXf6lwPPBAzlCszWZpQKKN79emP5hCVHQiXKjnAJ12Q5AE3c4irWsZZr/gTiDMEX/kLrCYx3CGkG/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3dae4e7071febef173bef5abed528a6c3c1551f5e676ccd1df61caed2fd6a51e","last_reissued_at":"2026-07-05T04:46:54.438631Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:46:54.438631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.05110","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":"2026-07-05T04:46:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZHDuHZTjX3rV6Jvd7IKJR5SAllbbgBYbQUM3y6DJykdyrw+rm1zVUjPI+5ENGaIpnzcqnXlsknqiER4g+WEHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T05:13:15.861009Z"},"content_sha256":"fdf338cfab1284f888c795a1fbcbbf6622636cb685d9e440a28b54fc4649ba0e","schema_version":"1.0","event_id":"sha256:fdf338cfab1284f888c795a1fbcbbf6622636cb685d9e440a28b54fc4649ba0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:HWXE44DR727PC4566WV62UUKNQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crossing phantom divide in $f(Q)$ gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"P.K. Sahoo, Simran Arora","submitted_at":"2022-06-08T16:05:36Z","abstract_excerpt":"We investigate the possibility of crossing a phantom divide line in the extension of symmetric teleparallel gravity or the $f(Q)$ gravity, where $Q$ is the non-metricity. We study the cosmic evolution of the effective equation of state parameter for dark energy considering exponential, logarithmic, and combined $f(Q)$ theories. Moreover, the exponential model behaves like the $\\Lambda$CDM at high redshifts before deviating to $\\omega_{eff}<-1$ or $\\omega_{eff}>-1$, respectively, depending on the value of model parameter. It also approaches a de-sitter phase asymptotically. However, the crossin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.05110","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/2206.05110/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":"2026-07-05T04:46:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fx3mxF0pYIMXdoknsJVoPi86xpXrhjIJGVPSfUH9BEh0nVzXucjvwEhZnigpfkmPU+SMXbADKku4nhjZaW8XAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T05:13:15.861545Z"},"content_sha256":"15cf1285377e43a8a8ad7e7f1afa7da759e18afb8a8980ab304afd5c0bea87e5","schema_version":"1.0","event_id":"sha256:15cf1285377e43a8a8ad7e7f1afa7da759e18afb8a8980ab304afd5c0bea87e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HWXE44DR727PC4566WV62UUKNQ/bundle.json","state_url":"https://pith.science/pith/HWXE44DR727PC4566WV62UUKNQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HWXE44DR727PC4566WV62UUKNQ/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":"2026-08-12T05:13:15Z","links":{"resolver":"https://pith.science/pith/HWXE44DR727PC4566WV62UUKNQ","bundle":"https://pith.science/pith/HWXE44DR727PC4566WV62UUKNQ/bundle.json","state":"https://pith.science/pith/HWXE44DR727PC4566WV62UUKNQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HWXE44DR727PC4566WV62UUKNQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HWXE44DR727PC4566WV62UUKNQ","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":"7130391383df4edaee0c8ce5be2a13b93c56c6062ec839f43053a2c69bb1e042","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-06-08T16:05:36Z","title_canon_sha256":"a4ed6ce9b8bd33502a1c1b000434b94c5152459890fe6530346e058112176ada"},"schema_version":"1.0","source":{"id":"2206.05110","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.05110","created_at":"2026-07-05T04:46:54Z"},{"alias_kind":"arxiv_version","alias_value":"2206.05110v1","created_at":"2026-07-05T04:46:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.05110","created_at":"2026-07-05T04:46:54Z"},{"alias_kind":"pith_short_12","alias_value":"HWXE44DR727P","created_at":"2026-07-05T04:46:54Z"},{"alias_kind":"pith_short_16","alias_value":"HWXE44DR727PC456","created_at":"2026-07-05T04:46:54Z"},{"alias_kind":"pith_short_8","alias_value":"HWXE44DR","created_at":"2026-07-05T04:46:54Z"}],"graph_snapshots":[{"event_id":"sha256:15cf1285377e43a8a8ad7e7f1afa7da759e18afb8a8980ab304afd5c0bea87e5","target":"graph","created_at":"2026-07-05T04:46:54Z","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/2206.05110/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the possibility of crossing a phantom divide line in the extension of symmetric teleparallel gravity or the $f(Q)$ gravity, where $Q$ is the non-metricity. We study the cosmic evolution of the effective equation of state parameter for dark energy considering exponential, logarithmic, and combined $f(Q)$ theories. Moreover, the exponential model behaves like the $\\Lambda$CDM at high redshifts before deviating to $\\omega_{eff}<-1$ or $\\omega_{eff}>-1$, respectively, depending on the value of model parameter. It also approaches a de-sitter phase asymptotically. However, the crossin","authors_text":"P.K. Sahoo, Simran Arora","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-06-08T16:05:36Z","title":"Crossing phantom divide in $f(Q)$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.05110","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:fdf338cfab1284f888c795a1fbcbbf6622636cb685d9e440a28b54fc4649ba0e","target":"record","created_at":"2026-07-05T04:46:54Z","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":"7130391383df4edaee0c8ce5be2a13b93c56c6062ec839f43053a2c69bb1e042","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-06-08T16:05:36Z","title_canon_sha256":"a4ed6ce9b8bd33502a1c1b000434b94c5152459890fe6530346e058112176ada"},"schema_version":"1.0","source":{"id":"2206.05110","kind":"arxiv","version":1}},"canonical_sha256":"3dae4e7071febef173bef5abed528a6c3c1551f5e676ccd1df61caed2fd6a51e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3dae4e7071febef173bef5abed528a6c3c1551f5e676ccd1df61caed2fd6a51e","first_computed_at":"2026-07-05T04:46:54.438631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:46:54.438631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z6un+qhgXf6lwPPBAzlCszWZpQKKN79emP5hCVHQiXKjnAJ12Q5AE3c4irWsZZr/gTiDMEX/kLrCYx3CGkG/Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:46:54.439074Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.05110","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdf338cfab1284f888c795a1fbcbbf6622636cb685d9e440a28b54fc4649ba0e","sha256:15cf1285377e43a8a8ad7e7f1afa7da759e18afb8a8980ab304afd5c0bea87e5"],"state_sha256":"0e8d8e69a7e11353d8c54d6bd5948208c7bc1827e8ede492b0eca744be03374f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3e9y6NuJxK27UBpdqpTU5IRN/MxpUK2Udme7Y5jwtI7rqNJYfVmBi1icFhXKg+wIMBakjePA6fWHGKNbD5jiBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T05:13:15.865714Z","bundle_sha256":"7c40937f566da65ea2571b879bc5f5e1403177752ae6d54275428384880ece55"}}