{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:CQJ4QDNBJPGOHKQGQ6SVLVI37C","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":"f4b34975e5da190038f4166e4d3180537d07b3bff68d3aabf942f06b1158631c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-05-24T13:37:44Z","title_canon_sha256":"8485333e988c5bf47140682c9b0ea95ab8112a1d3b9eaa86bfae6cbc87824b51"},"schema_version":"1.0","source":{"id":"0905.3900","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.3900","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"arxiv_version","alias_value":"0905.3900v3","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3900","created_at":"2026-05-18T02:34:46Z"},{"alias_kind":"pith_short_12","alias_value":"CQJ4QDNBJPGO","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"CQJ4QDNBJPGOHKQG","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"CQJ4QDNB","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:1982570a5247d5611c77211ced1885aa9c5d0fe47957bfb4c7a7a55bd47cd937","target":"graph","created_at":"2026-05-18T02:34:46Z","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 present quantum theory of a membrane propagating in the vicinity of a time dependent orbifold singularity. The dynamics of a membrane, with the parameters space topology of a torus, winding uniformly around compact dimension of the embedding spacetime is mathematically equivalent to the dynamics of a closed string in a flat FRW spacetime. The construction of the physical Hilbert space of a membrane makes use of the kernel space of self-adjoint constraint operators. It is a subspace of the representation space of the constraints algebra. There exist non-trivial quantum states of a membrane e","authors_text":"Przemyslaw Malkiewicz, Wlodzimierz Piechocki","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-05-24T13:37:44Z","title":"Dirac quantization of membrane in time dependent orbifold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3900","kind":"arxiv","version":3},"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":"sha256:70b03878d2f3f260328df9bf9454f795a449fa0de084c9248e2f6c7f0ac84c71","target":"record","created_at":"2026-05-18T02:34:46Z","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":"f4b34975e5da190038f4166e4d3180537d07b3bff68d3aabf942f06b1158631c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-05-24T13:37:44Z","title_canon_sha256":"8485333e988c5bf47140682c9b0ea95ab8112a1d3b9eaa86bfae6cbc87824b51"},"schema_version":"1.0","source":{"id":"0905.3900","kind":"arxiv","version":3}},"canonical_sha256":"1413c80da14bcce3aa0687a555d51bf8b66e0b87f5f2d0368acf9c6cffeb5dfb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1413c80da14bcce3aa0687a555d51bf8b66e0b87f5f2d0368acf9c6cffeb5dfb","first_computed_at":"2026-05-18T02:34:46.224060Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:46.224060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fqlVvwWlpAYlc62OAurAmiG7xvvDK/E1xDt941G42Y6HcOgt0wt65jVuR3G9KdJ3vTNjlIzQuYZCXUdzWbdxAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:46.224675Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.3900","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70b03878d2f3f260328df9bf9454f795a449fa0de084c9248e2f6c7f0ac84c71","sha256:1982570a5247d5611c77211ced1885aa9c5d0fe47957bfb4c7a7a55bd47cd937"],"state_sha256":"955854a3b44aa71e9712f70e819b332979f9138d115fbd28de83e701510f4575"}