{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:DL47GNSBDGJSBFKR7NYKF5BNP5","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":"36656f0e9cc1a18ee749dbce0f4111b0a50122e220374013ac7ce0cf706f671d","cross_cats_sorted":["astro-ph.CO","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-07-18T12:58:40Z","title_canon_sha256":"6f7ba55c87ebeea8b22076fde2acfc42119de8cfef9c0fbcd30d74c5a413480c"},"schema_version":"1.0","source":{"id":"2207.08575","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.08575","created_at":"2026-07-05T04:41:06Z"},{"alias_kind":"arxiv_version","alias_value":"2207.08575v1","created_at":"2026-07-05T04:41:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.08575","created_at":"2026-07-05T04:41:06Z"},{"alias_kind":"pith_short_12","alias_value":"DL47GNSBDGJS","created_at":"2026-07-05T04:41:06Z"},{"alias_kind":"pith_short_16","alias_value":"DL47GNSBDGJSBFKR","created_at":"2026-07-05T04:41:06Z"},{"alias_kind":"pith_short_8","alias_value":"DL47GNSB","created_at":"2026-07-05T04:41:06Z"}],"graph_snapshots":[{"event_id":"sha256:3f2fe1fc13640384d7f68850f6c21d4e5f0855efc038ed83b9737cc653e8935c","target":"graph","created_at":"2026-07-05T04:41:06Z","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/2207.08575/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Noether symmetry analysis is applied for the analysis of the field equations in an anisotropic background in $f(T,B)$-theory. We consider the $f\\left( T,B\\right) =T+F\\left( B\\right) $ which describes a small deviation from TEGR introduced by the boundary scalar $B$. For the Bianchi\\ I, Bianchi III and Kantowski-Sachs geometries there exists a minisuperspace description and Noether's theorems are applied. We investigate the existence of invariant point transformations. We find that for the Bianchi I spacetime the gravitational field equations are Liouville integrable for the $F\\left( B\\righ","authors_text":"Andronikos Paliathanasis","cross_cats":["astro-ph.CO","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-07-18T12:58:40Z","title":"Anisotropic spacetimes in $f(T,B)$ theory IV: Noether symmetry analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.08575","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":"sha256:652f665037b7ebc2c493dc8fc9cd967f7a446eb085ed4c28ec1332e90b15efb1","target":"record","created_at":"2026-07-05T04:41:06Z","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":"36656f0e9cc1a18ee749dbce0f4111b0a50122e220374013ac7ce0cf706f671d","cross_cats_sorted":["astro-ph.CO","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2022-07-18T12:58:40Z","title_canon_sha256":"6f7ba55c87ebeea8b22076fde2acfc42119de8cfef9c0fbcd30d74c5a413480c"},"schema_version":"1.0","source":{"id":"2207.08575","kind":"arxiv","version":1}},"canonical_sha256":"1af9f336411993209551fb70a2f42d7f5f1e9bb3b43c40065bdcf2693da40407","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1af9f336411993209551fb70a2f42d7f5f1e9bb3b43c40065bdcf2693da40407","first_computed_at":"2026-07-05T04:41:06.023780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:41:06.023780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y5ssqYbtr/QziOPWFnkvwp/sP1UoqWYsERTU8ZT+yJS8dxLvEgoqscVHHK9Hs510OB2aur6Be5gN3ieEmD32Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:41:06.024237Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.08575","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:652f665037b7ebc2c493dc8fc9cd967f7a446eb085ed4c28ec1332e90b15efb1","sha256:3f2fe1fc13640384d7f68850f6c21d4e5f0855efc038ed83b9737cc653e8935c"],"state_sha256":"1778f7128be61a286557ece0e4f13dbe9942162109fb11784e7c708cc7cd5bd6"}