{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:BIVU3HPKWL3D4KL4ZVWHKIDBAI","short_pith_number":"pith:BIVU3HPK","schema_version":"1.0","canonical_sha256":"0a2b4d9deab2f63e297ccd6c752061022db32c33aee74ebe5588bd0776981268","source":{"kind":"arxiv","id":"1305.6549","version":1},"attestation_state":"computed","paper":{"title":"Application of the 3-space approach to the Bianchi II cosmological model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Lau Loi So","submitted_at":"2013-05-28T16:15:26Z","abstract_excerpt":"Einstein used 4-dimensional space time geometry to explain gravity. However, in 1962, Baierlein, Sharp and Wheeler proposed a Jacobi type timeless Lagrangian based on the 3-dimensional geometry of space to reproduce the same physics. In 2002, Barbour $et$. $al$. further extended this idea and they call it 3-space approach. Here we use Bianchi II cosmological model to demonstrate the 3-space idea. Indeed, we find that this theory is more fundamental and the manipulation is more practical. We recover the known and find a new solutions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1305.6549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-28T16:15:26Z","cross_cats_sorted":[],"title_canon_sha256":"9408e3af9f55aa6e0dcb74c904283e220d603c2f3c83f36fdb2b6de793aee2d0","abstract_canon_sha256":"f2257d12a5664215d73d9e59795ae197b16203ff11e3b5485580cbf3a2b33b95"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:40.478986Z","signature_b64":"oBOTKrMRYshrYx//EMm+pMfWuOqmwxrjby6nI8QkYuAVN7VbG6RDSMTmCNIJL3LPk0Kd9yzJCZsQZdRlmLfvBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a2b4d9deab2f63e297ccd6c752061022db32c33aee74ebe5588bd0776981268","last_reissued_at":"2026-05-18T03:24:40.478302Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:40.478302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Application of the 3-space approach to the Bianchi II cosmological model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Lau Loi So","submitted_at":"2013-05-28T16:15:26Z","abstract_excerpt":"Einstein used 4-dimensional space time geometry to explain gravity. However, in 1962, Baierlein, Sharp and Wheeler proposed a Jacobi type timeless Lagrangian based on the 3-dimensional geometry of space to reproduce the same physics. In 2002, Barbour $et$. $al$. further extended this idea and they call it 3-space approach. Here we use Bianchi II cosmological model to demonstrate the 3-space idea. Indeed, we find that this theory is more fundamental and the manipulation is more practical. We recover the known and find a new solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.6549","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1305.6549","created_at":"2026-05-18T03:24:40.478411+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.6549v1","created_at":"2026-05-18T03:24:40.478411+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.6549","created_at":"2026-05-18T03:24:40.478411+00:00"},{"alias_kind":"pith_short_12","alias_value":"BIVU3HPKWL3D","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"BIVU3HPKWL3D4KL4","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"BIVU3HPK","created_at":"2026-05-18T12:27:38.830355+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BIVU3HPKWL3D4KL4ZVWHKIDBAI","json":"https://pith.science/pith/BIVU3HPKWL3D4KL4ZVWHKIDBAI.json","graph_json":"https://pith.science/api/pith-number/BIVU3HPKWL3D4KL4ZVWHKIDBAI/graph.json","events_json":"https://pith.science/api/pith-number/BIVU3HPKWL3D4KL4ZVWHKIDBAI/events.json","paper":"https://pith.science/paper/BIVU3HPK"},"agent_actions":{"view_html":"https://pith.science/pith/BIVU3HPKWL3D4KL4ZVWHKIDBAI","download_json":"https://pith.science/pith/BIVU3HPKWL3D4KL4ZVWHKIDBAI.json","view_paper":"https://pith.science/paper/BIVU3HPK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.6549&json=true","fetch_graph":"https://pith.science/api/pith-number/BIVU3HPKWL3D4KL4ZVWHKIDBAI/graph.json","fetch_events":"https://pith.science/api/pith-number/BIVU3HPKWL3D4KL4ZVWHKIDBAI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BIVU3HPKWL3D4KL4ZVWHKIDBAI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BIVU3HPKWL3D4KL4ZVWHKIDBAI/action/storage_attestation","attest_author":"https://pith.science/pith/BIVU3HPKWL3D4KL4ZVWHKIDBAI/action/author_attestation","sign_citation":"https://pith.science/pith/BIVU3HPKWL3D4KL4ZVWHKIDBAI/action/citation_signature","submit_replication":"https://pith.science/pith/BIVU3HPKWL3D4KL4ZVWHKIDBAI/action/replication_record"}},"created_at":"2026-05-18T03:24:40.478411+00:00","updated_at":"2026-05-18T03:24:40.478411+00:00"}