{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:A5SHOYFANP7F375BXZ2ZF7AUNU","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":"1d41d68d787e0589618592b47e9b87d591304b546a6b1721858f4b1ef4ff4e33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-02-14T08:21:49Z","title_canon_sha256":"713445d7492357114f7a6df33f97d131f24d8806b2afb950e00144755bd33a5d"},"schema_version":"1.0","source":{"id":"1102.2694","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.2694","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1102.2694v2","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.2694","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"A5SHOYFANP7F","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"A5SHOYFANP7F375B","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"A5SHOYFA","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:6797134e0beb2819c1f475051b0e3b8e9082b6a6994d901bb63a71dca5a3bb7f","target":"graph","created_at":"2026-05-18T04:24:43Z","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":"We investigate the convergence behaviors of the scalar and the vector perturbations for a big bounce phase in loop quantum cosmology. Two models are discussed: one is the universe filled by a massless scalar field; the other is a toy model which is radiation-dominated in the asymptotic past and future. We find that the behaviors of the Bardeen potential of the scalar mode near both the bounce point and the transition point of the null energy condition are good, moreover, the unlimited growth of the vector perturbation can be avoided in our bounce model. This is different from the bounce models","authors_text":"Jian-Yang Zhu, Yu Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-02-14T08:21:49Z","title":"Convergence of Perturbations for a Big Bounce in Loop Quantum Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.2694","kind":"arxiv","version":2},"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":"sha256:5eaea9976228d5b20a7a9efe92f9fed35488cb20c23b6391a597bdeb06df6bc8","target":"record","created_at":"2026-05-18T04:24:43Z","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":"1d41d68d787e0589618592b47e9b87d591304b546a6b1721858f4b1ef4ff4e33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-02-14T08:21:49Z","title_canon_sha256":"713445d7492357114f7a6df33f97d131f24d8806b2afb950e00144755bd33a5d"},"schema_version":"1.0","source":{"id":"1102.2694","kind":"arxiv","version":2}},"canonical_sha256":"07647760a06bfe5dffa1be7592fc146d2f9a53104784f919e658e7e4cb3ae10a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07647760a06bfe5dffa1be7592fc146d2f9a53104784f919e658e7e4cb3ae10a","first_computed_at":"2026-05-18T04:24:43.587836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:43.587836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N11G6r3TgsN2ODnVVL1oE4gRgkBdXah6U7Jm2gZWHZOrMc6Lkoq+nGQzR2PnqMLnVrG5OuhMonOE81+bjMvoBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:43.588241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.2694","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5eaea9976228d5b20a7a9efe92f9fed35488cb20c23b6391a597bdeb06df6bc8","sha256:6797134e0beb2819c1f475051b0e3b8e9082b6a6994d901bb63a71dca5a3bb7f"],"state_sha256":"7f342730753923897c049a411e2c278e8f84078c7f5ad105a2bbe1634a6682fb"}