{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3S4SU3DXPB7EXXTDHD6HVYNS35","short_pith_number":"pith:3S4SU3DX","canonical_record":{"source":{"id":"1308.0325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-01T08:34:06Z","cross_cats_sorted":[],"title_canon_sha256":"caff4f33dc556a8c1ccb769702be7473324089114846809c92164de01a2c4da0","abstract_canon_sha256":"22797d5d40ab63780ea2317376e964046b4a6ec01e4975eb4b4733e13e90f179"},"schema_version":"1.0"},"canonical_sha256":"dcb92a6c77787e4bde6338fc7ae1b2df4da6a9426a1aaac2389d16cd0ee13a54","source":{"kind":"arxiv","id":"1308.0325","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0325","created_at":"2026-05-18T03:16:50Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0325v1","created_at":"2026-05-18T03:16:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0325","created_at":"2026-05-18T03:16:50Z"},{"alias_kind":"pith_short_12","alias_value":"3S4SU3DXPB7E","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3S4SU3DXPB7EXXTD","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3S4SU3DX","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3S4SU3DXPB7EXXTDHD6HVYNS35","target":"record","payload":{"canonical_record":{"source":{"id":"1308.0325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-01T08:34:06Z","cross_cats_sorted":[],"title_canon_sha256":"caff4f33dc556a8c1ccb769702be7473324089114846809c92164de01a2c4da0","abstract_canon_sha256":"22797d5d40ab63780ea2317376e964046b4a6ec01e4975eb4b4733e13e90f179"},"schema_version":"1.0"},"canonical_sha256":"dcb92a6c77787e4bde6338fc7ae1b2df4da6a9426a1aaac2389d16cd0ee13a54","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:16:50.777600Z","signature_b64":"gIDFbYOapeN6qCaJdWjuPMwsri/MAkzvP9BN3I5Po/QPR/TVYf+bIlIky7zvp9uFrM3MwoN2uyV0Y6+X9x2hDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcb92a6c77787e4bde6338fc7ae1b2df4da6a9426a1aaac2389d16cd0ee13a54","last_reissued_at":"2026-05-18T03:16:50.777055Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:16:50.777055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.0325","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":"2026-05-18T03:16:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BSpq16ybtWYGGLg2Ma2sDYVLsWIjmO65WBGlavOeNtcZ8yCdf6WE07rlODau78CNRRw7pecBoJzXQ9ehDmDeAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:02:30.003451Z"},"content_sha256":"e8dec41d237d041cd7c248b4b95c2d15059bf8e1b562240f695e48ac604f4573","schema_version":"1.0","event_id":"sha256:e8dec41d237d041cd7c248b4b95c2d15059bf8e1b562240f695e48ac604f4573"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3S4SU3DXPB7EXXTDHD6HVYNS35","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noether gauge symmetry for the Bianchi type I model in f(T) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Adnan Aslam, Mubasher Jamil, Ratbay Myrzakulov","submitted_at":"2013-08-01T08:34:06Z","abstract_excerpt":"In this paper, we present the Noether symmetries of a class of the Bianchi type I anisotropic model in the context of f(T) gravity. By solving the system of equations obtained from the Noether symmetry condition, we obtain the form of f(T) as a teleparallel form. This analysis shows that teleparallel gravity has the maximum number of Noether symmetries. We derive the symmetry generators and show that there are five kinds of symmetries, including time and scale invariance under metric coefficients. We classify the symmetries and we obtain the corresponding invariants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0325","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":""},"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":"2026-05-18T03:16:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YFCaZtiO8MzZTG43Ov8N892MyKRMdFSKxv9Mi9PWgqEI0YpqSjHqHW/w/HqP8V3V4dQDia9fCqoqPZ9KHPJ0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T13:02:30.003795Z"},"content_sha256":"c1c96ba0da9762da887b6fb78ef043c81f871927970c5559b01d5f5e0aa69e7d","schema_version":"1.0","event_id":"sha256:c1c96ba0da9762da887b6fb78ef043c81f871927970c5559b01d5f5e0aa69e7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3S4SU3DXPB7EXXTDHD6HVYNS35/bundle.json","state_url":"https://pith.science/pith/3S4SU3DXPB7EXXTDHD6HVYNS35/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3S4SU3DXPB7EXXTDHD6HVYNS35/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":"2026-05-30T13:02:30Z","links":{"resolver":"https://pith.science/pith/3S4SU3DXPB7EXXTDHD6HVYNS35","bundle":"https://pith.science/pith/3S4SU3DXPB7EXXTDHD6HVYNS35/bundle.json","state":"https://pith.science/pith/3S4SU3DXPB7EXXTDHD6HVYNS35/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3S4SU3DXPB7EXXTDHD6HVYNS35/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3S4SU3DXPB7EXXTDHD6HVYNS35","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":"22797d5d40ab63780ea2317376e964046b4a6ec01e4975eb4b4733e13e90f179","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-01T08:34:06Z","title_canon_sha256":"caff4f33dc556a8c1ccb769702be7473324089114846809c92164de01a2c4da0"},"schema_version":"1.0","source":{"id":"1308.0325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0325","created_at":"2026-05-18T03:16:50Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0325v1","created_at":"2026-05-18T03:16:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0325","created_at":"2026-05-18T03:16:50Z"},{"alias_kind":"pith_short_12","alias_value":"3S4SU3DXPB7E","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3S4SU3DXPB7EXXTD","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3S4SU3DX","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:c1c96ba0da9762da887b6fb78ef043c81f871927970c5559b01d5f5e0aa69e7d","target":"graph","created_at":"2026-05-18T03:16:50Z","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"},"paper":{"abstract_excerpt":"In this paper, we present the Noether symmetries of a class of the Bianchi type I anisotropic model in the context of f(T) gravity. By solving the system of equations obtained from the Noether symmetry condition, we obtain the form of f(T) as a teleparallel form. This analysis shows that teleparallel gravity has the maximum number of Noether symmetries. We derive the symmetry generators and show that there are five kinds of symmetries, including time and scale invariance under metric coefficients. We classify the symmetries and we obtain the corresponding invariants.","authors_text":"Adnan Aslam, Mubasher Jamil, Ratbay Myrzakulov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-01T08:34:06Z","title":"Noether gauge symmetry for the Bianchi type I model in f(T) gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0325","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:e8dec41d237d041cd7c248b4b95c2d15059bf8e1b562240f695e48ac604f4573","target":"record","created_at":"2026-05-18T03:16:50Z","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":"22797d5d40ab63780ea2317376e964046b4a6ec01e4975eb4b4733e13e90f179","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-08-01T08:34:06Z","title_canon_sha256":"caff4f33dc556a8c1ccb769702be7473324089114846809c92164de01a2c4da0"},"schema_version":"1.0","source":{"id":"1308.0325","kind":"arxiv","version":1}},"canonical_sha256":"dcb92a6c77787e4bde6338fc7ae1b2df4da6a9426a1aaac2389d16cd0ee13a54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcb92a6c77787e4bde6338fc7ae1b2df4da6a9426a1aaac2389d16cd0ee13a54","first_computed_at":"2026-05-18T03:16:50.777055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:50.777055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gIDFbYOapeN6qCaJdWjuPMwsri/MAkzvP9BN3I5Po/QPR/TVYf+bIlIky7zvp9uFrM3MwoN2uyV0Y6+X9x2hDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:50.777600Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.0325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8dec41d237d041cd7c248b4b95c2d15059bf8e1b562240f695e48ac604f4573","sha256:c1c96ba0da9762da887b6fb78ef043c81f871927970c5559b01d5f5e0aa69e7d"],"state_sha256":"3ec28460274560c8aba8b15043f44a4d4e8f24a4f51fca3e20b73b0b7f7827ac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fl815TULYi0go34av4VEnaPMxEyZfka6WXQVUNkX7JyaUTBXgneaoeXFZ00uwgvsKKLL1E6Sw77v05w62B37CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T13:02:30.005697Z","bundle_sha256":"501b2df04d01ba3242bf794e80257d0718ff9e6f018dc28975307ae05e9237fa"}}