{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:HAOCYQWKICDLCIYIXMCTDQNSKU","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":"1c421e2389204812793ac6232a0ae7bda24d3e93cf433537ea39a2a892ca7a86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-22T14:31:53Z","title_canon_sha256":"079d153866f58d99f3b5e076c35e8e1e384dee520f90add568f5fa9bd5a5463d"},"schema_version":"1.0","source":{"id":"0805.3469","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.3469","created_at":"2026-05-18T01:37:45Z"},{"alias_kind":"arxiv_version","alias_value":"0805.3469v1","created_at":"2026-05-18T01:37:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.3469","created_at":"2026-05-18T01:37:45Z"},{"alias_kind":"pith_short_12","alias_value":"HAOCYQWKICDL","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"HAOCYQWKICDLCIYI","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"HAOCYQWK","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:e408ad05ac256672c55dbe906313d47b76c04b43b596b3e675b66c0132ebb47f","target":"graph","created_at":"2026-05-18T01:37:45Z","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":"Bianchi type $VI_{0}$ massive string cosmological models using the technique given by Letelier (1983) with magnetic field are investigated. To get the deterministic models, we assume that the expansion ($\\theta$) in the model is proportional to the shear ($\\sigma$) and also the fluid obeys the barotropic equation of state. It was found that vacuum energy density $\\Lambda \\propto \\frac{1}{t^{2}}$ which matches with natural units. The behaviour of the models from physical and geometrical aspects in presence and absence of magnetic field is also discussed.","authors_text":"Anirudh Pradhan, Raj Bali","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-22T14:31:53Z","title":"Magnetized Bianchi Type $VI_{0}$ Barotropic Massive String Universe with Decaying Vacuum Energy Density $\\Lambda$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.3469","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:cb6dd89ab5f109d0c61020b4509eccdac2a0a5dcceb8a71076236ec555e73a99","target":"record","created_at":"2026-05-18T01:37:45Z","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":"1c421e2389204812793ac6232a0ae7bda24d3e93cf433537ea39a2a892ca7a86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-05-22T14:31:53Z","title_canon_sha256":"079d153866f58d99f3b5e076c35e8e1e384dee520f90add568f5fa9bd5a5463d"},"schema_version":"1.0","source":{"id":"0805.3469","kind":"arxiv","version":1}},"canonical_sha256":"381c2c42ca4086b12308bb0531c1b25514ed2fe28ac8e2a6b63a0911f86d6f7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"381c2c42ca4086b12308bb0531c1b25514ed2fe28ac8e2a6b63a0911f86d6f7e","first_computed_at":"2026-05-18T01:37:45.186203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:45.186203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fkkZvomMTWTDhoCctTR7O0944foPuoWNg/FrrqmqSdNW6UC7tMxZEJZEaTIGXMM/UAGitgtOw8e73MfoIDuHDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:45.186787Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.3469","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb6dd89ab5f109d0c61020b4509eccdac2a0a5dcceb8a71076236ec555e73a99","sha256:e408ad05ac256672c55dbe906313d47b76c04b43b596b3e675b66c0132ebb47f"],"state_sha256":"519632280e6818b4504d01fdd52daac3f98dec5256daf2a5f179345f0468817a"}