{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:FYG7N7DBRHTKIAQRUZFLAIFBUV","short_pith_number":"pith:FYG7N7DB","canonical_record":{"source":{"id":"0901.3575","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-22T22:52:21Z","cross_cats_sorted":[],"title_canon_sha256":"cc173170033a36a361df2e179f4641edcfda4e5f5c2ca2497ed468b6a2ff629a","abstract_canon_sha256":"7d6340d45d6ab93f2444c2ee0e88f5cd9c0c603378aa98f27f556090823c272e"},"schema_version":"1.0"},"canonical_sha256":"2e0df6fc6189e6a40211a64ab020a1a56965ce84f2c053d2468b89aa16c4c1df","source":{"kind":"arxiv","id":"0901.3575","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.3575","created_at":"2026-05-18T02:35:06Z"},{"alias_kind":"arxiv_version","alias_value":"0901.3575v2","created_at":"2026-05-18T02:35:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.3575","created_at":"2026-05-18T02:35:06Z"},{"alias_kind":"pith_short_12","alias_value":"FYG7N7DBRHTK","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"FYG7N7DBRHTKIAQR","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"FYG7N7DB","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:FYG7N7DBRHTKIAQRUZFLAIFBUV","target":"record","payload":{"canonical_record":{"source":{"id":"0901.3575","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-22T22:52:21Z","cross_cats_sorted":[],"title_canon_sha256":"cc173170033a36a361df2e179f4641edcfda4e5f5c2ca2497ed468b6a2ff629a","abstract_canon_sha256":"7d6340d45d6ab93f2444c2ee0e88f5cd9c0c603378aa98f27f556090823c272e"},"schema_version":"1.0"},"canonical_sha256":"2e0df6fc6189e6a40211a64ab020a1a56965ce84f2c053d2468b89aa16c4c1df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:06.264438Z","signature_b64":"qmPbl1KU5n7qefoD+4BScIaVkyjKoWWsTU/xYDrT/IzJapwV2BmEVuBzCvySsM4Zeu3U/Rxr9UBZs1ayUqvTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e0df6fc6189e6a40211a64ab020a1a56965ce84f2c053d2468b89aa16c4c1df","last_reissued_at":"2026-05-18T02:35:06.263919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:06.263919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.3575","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:35:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GaXYKSgYhHo3T+PETai92OzcfbQ+KmVk21PqLA1WBOTdPpzHfpqX9vh+Wcbi98n7R2pxH8+PTZT/HlgEtcOtCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T23:33:50.292026Z"},"content_sha256":"ee88f474265e3f60dd431e7bb834f88967d8758b9ac4a2c4f7e7646e55ac1eb5","schema_version":"1.0","event_id":"sha256:ee88f474265e3f60dd431e7bb834f88967d8758b9ac4a2c4f7e7646e55ac1eb5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:FYG7N7DBRHTKIAQRUZFLAIFBUV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Algebraic analysis of a model of two-dimensional gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.M. Frolov, N. Kiriushcheva, S.V. Kuzmin","submitted_at":"2009-01-22T22:52:21Z","abstract_excerpt":"An algebraic analysis of the Hamiltonian formulation of the model two-dimensional gravity is performed. The crucial fact is an exact coincidence of the Poisson brackets algebra of the secondary constraints of this Hamiltonian formulation with the SO(2,1)-algebra. The eigenvectors of the canonical Hamiltonian $H_{c}$ are obtained and explicitly written in closed form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.3575","kind":"arxiv","version":2},"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":"2026-05-18T02:35:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q2qjAIhe7vLJFIFJenfeYIhNJkBV/0KngrzdN5CNn00kXx3n9D77YI4TRh2ErvusDi+90AuW5fiWRAUuyQhGBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T23:33:50.292376Z"},"content_sha256":"f7b2f39c37474dce01e279b3303055902f6b25e8819a1b3e8fb80b1f8f2e791f","schema_version":"1.0","event_id":"sha256:f7b2f39c37474dce01e279b3303055902f6b25e8819a1b3e8fb80b1f8f2e791f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FYG7N7DBRHTKIAQRUZFLAIFBUV/bundle.json","state_url":"https://pith.science/pith/FYG7N7DBRHTKIAQRUZFLAIFBUV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FYG7N7DBRHTKIAQRUZFLAIFBUV/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":"2026-06-01T23:33:50Z","links":{"resolver":"https://pith.science/pith/FYG7N7DBRHTKIAQRUZFLAIFBUV","bundle":"https://pith.science/pith/FYG7N7DBRHTKIAQRUZFLAIFBUV/bundle.json","state":"https://pith.science/pith/FYG7N7DBRHTKIAQRUZFLAIFBUV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FYG7N7DBRHTKIAQRUZFLAIFBUV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:FYG7N7DBRHTKIAQRUZFLAIFBUV","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":"7d6340d45d6ab93f2444c2ee0e88f5cd9c0c603378aa98f27f556090823c272e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-22T22:52:21Z","title_canon_sha256":"cc173170033a36a361df2e179f4641edcfda4e5f5c2ca2497ed468b6a2ff629a"},"schema_version":"1.0","source":{"id":"0901.3575","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.3575","created_at":"2026-05-18T02:35:06Z"},{"alias_kind":"arxiv_version","alias_value":"0901.3575v2","created_at":"2026-05-18T02:35:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.3575","created_at":"2026-05-18T02:35:06Z"},{"alias_kind":"pith_short_12","alias_value":"FYG7N7DBRHTK","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"FYG7N7DBRHTKIAQR","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"FYG7N7DB","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:f7b2f39c37474dce01e279b3303055902f6b25e8819a1b3e8fb80b1f8f2e791f","target":"graph","created_at":"2026-05-18T02:35:06Z","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":"An algebraic analysis of the Hamiltonian formulation of the model two-dimensional gravity is performed. The crucial fact is an exact coincidence of the Poisson brackets algebra of the secondary constraints of this Hamiltonian formulation with the SO(2,1)-algebra. The eigenvectors of the canonical Hamiltonian $H_{c}$ are obtained and explicitly written in closed form.","authors_text":"A.M. Frolov, N. Kiriushcheva, S.V. Kuzmin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-22T22:52:21Z","title":"Algebraic analysis of a model of two-dimensional gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.3575","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:ee88f474265e3f60dd431e7bb834f88967d8758b9ac4a2c4f7e7646e55ac1eb5","target":"record","created_at":"2026-05-18T02:35:06Z","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":"7d6340d45d6ab93f2444c2ee0e88f5cd9c0c603378aa98f27f556090823c272e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-22T22:52:21Z","title_canon_sha256":"cc173170033a36a361df2e179f4641edcfda4e5f5c2ca2497ed468b6a2ff629a"},"schema_version":"1.0","source":{"id":"0901.3575","kind":"arxiv","version":2}},"canonical_sha256":"2e0df6fc6189e6a40211a64ab020a1a56965ce84f2c053d2468b89aa16c4c1df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e0df6fc6189e6a40211a64ab020a1a56965ce84f2c053d2468b89aa16c4c1df","first_computed_at":"2026-05-18T02:35:06.263919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:06.263919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qmPbl1KU5n7qefoD+4BScIaVkyjKoWWsTU/xYDrT/IzJapwV2BmEVuBzCvySsM4Zeu3U/Rxr9UBZs1ayUqvTAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:06.264438Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.3575","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee88f474265e3f60dd431e7bb834f88967d8758b9ac4a2c4f7e7646e55ac1eb5","sha256:f7b2f39c37474dce01e279b3303055902f6b25e8819a1b3e8fb80b1f8f2e791f"],"state_sha256":"aa3eb5386dd9de84811539e370e208b3785b97728d26c43023c0d5474f5d57e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3JNRoX+zuixSEhiqwNH6+H+j5zsqqClmVHF+8mHtD4n3JInD1u5s+vUtRLSW2bPYIKaUs7ckahKPD66R6hzzDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T23:33:50.294286Z","bundle_sha256":"31674ab9b89e3651f8bcb6595d034a6f629592d54f8c09cdd34459a4d8cc22a0"}}