{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2MFCE2D4FCVY5PD6BGBCQZ6ISX","short_pith_number":"pith:2MFCE2D4","canonical_record":{"source":{"id":"1310.4451","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-16T17:10:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7ff96382af399a6b54ce7456d84bd8b2f31f8c6744b028fce2b38f85d3c8a167","abstract_canon_sha256":"ea2b76348d2b6706f6099eded620adcacf2fb79e725083b45a00f880aace4a64"},"schema_version":"1.0"},"canonical_sha256":"d30a22687c28ab8ebc7e09822867c895fdd4219e0e434d7845f31f839f5072b0","source":{"kind":"arxiv","id":"1310.4451","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4451","created_at":"2026-05-18T02:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4451v3","created_at":"2026-05-18T02:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4451","created_at":"2026-05-18T02:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"2MFCE2D4FCVY","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2MFCE2D4FCVY5PD6","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2MFCE2D4","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2MFCE2D4FCVY5PD6BGBCQZ6ISX","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4451","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-16T17:10:42Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7ff96382af399a6b54ce7456d84bd8b2f31f8c6744b028fce2b38f85d3c8a167","abstract_canon_sha256":"ea2b76348d2b6706f6099eded620adcacf2fb79e725083b45a00f880aace4a64"},"schema_version":"1.0"},"canonical_sha256":"d30a22687c28ab8ebc7e09822867c895fdd4219e0e434d7845f31f839f5072b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:55.280225Z","signature_b64":"dqPQzdU9jw9bwj7b4jZZ+n+nLOiNmHYutoSArqwpZm1kLFqPqR0IHIEX7I3DkfddZlDC1RQn7Yz6dSRJwb+LDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d30a22687c28ab8ebc7e09822867c895fdd4219e0e434d7845f31f839f5072b0","last_reissued_at":"2026-05-18T02:28:55.279704Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:55.279704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4451","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:28:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d3JqfoEg4V/XSXzKO2LKMSApi0Mhz0f2C5wboguuWvPtQlXzXTn3l22CRhRQIr5tsZeIJhoYu0T5CHO7Tk+bAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:26:06.164279Z"},"content_sha256":"6aa249f78fb1f7113f824f1fbad81d91921cea24d3be29342a59182eba6d7709","schema_version":"1.0","event_id":"sha256:6aa249f78fb1f7113f824f1fbad81d91921cea24d3be29342a59182eba6d7709"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2MFCE2D4FCVY5PD6BGBCQZ6ISX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum billiards in multidimensional models with branes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"V. D. Ivashchuk, V. N. Melnikov","submitted_at":"2013-10-16T17:10:42Z","abstract_excerpt":"Gravitational D-dimensional model with l scalar fields and several forms is considered. When cosmological type diagonal metric is chosen, an electromagnetic composite brane ansatz is adopted and certain restrictions on the branes are imposed the conformally covariant Wheeler-DeWitt (WDW) equation for the model is studied. Under certain restrictions asymptotic solutions to WDW equation are found in the limit of the formation of the billiard walls which reduce the problem to the so-called quantum billiard on the (D+ l -2)-dimensional Lobachevsky space. Two examples of quantum billiards are consi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4451","kind":"arxiv","version":3},"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":"2026-05-18T02:28:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fmulVU/jhOl4lLvRYGQAw8WjhXbE/G02vfHrTIUqQPWG2dn8iI11bd14tTJ8WaTC25UslYlByx9nJCTk0/F6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:26:06.164660Z"},"content_sha256":"9525defee795c0ce74e746834848650964cf237124f65fbbae1752f226a91bc4","schema_version":"1.0","event_id":"sha256:9525defee795c0ce74e746834848650964cf237124f65fbbae1752f226a91bc4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2MFCE2D4FCVY5PD6BGBCQZ6ISX/bundle.json","state_url":"https://pith.science/pith/2MFCE2D4FCVY5PD6BGBCQZ6ISX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2MFCE2D4FCVY5PD6BGBCQZ6ISX/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":"2026-05-28T04:26:06Z","links":{"resolver":"https://pith.science/pith/2MFCE2D4FCVY5PD6BGBCQZ6ISX","bundle":"https://pith.science/pith/2MFCE2D4FCVY5PD6BGBCQZ6ISX/bundle.json","state":"https://pith.science/pith/2MFCE2D4FCVY5PD6BGBCQZ6ISX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2MFCE2D4FCVY5PD6BGBCQZ6ISX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2MFCE2D4FCVY5PD6BGBCQZ6ISX","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":"ea2b76348d2b6706f6099eded620adcacf2fb79e725083b45a00f880aace4a64","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-16T17:10:42Z","title_canon_sha256":"7ff96382af399a6b54ce7456d84bd8b2f31f8c6744b028fce2b38f85d3c8a167"},"schema_version":"1.0","source":{"id":"1310.4451","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4451","created_at":"2026-05-18T02:28:55Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4451v3","created_at":"2026-05-18T02:28:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4451","created_at":"2026-05-18T02:28:55Z"},{"alias_kind":"pith_short_12","alias_value":"2MFCE2D4FCVY","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"2MFCE2D4FCVY5PD6","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"2MFCE2D4","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:9525defee795c0ce74e746834848650964cf237124f65fbbae1752f226a91bc4","target":"graph","created_at":"2026-05-18T02:28:55Z","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":"Gravitational D-dimensional model with l scalar fields and several forms is considered. When cosmological type diagonal metric is chosen, an electromagnetic composite brane ansatz is adopted and certain restrictions on the branes are imposed the conformally covariant Wheeler-DeWitt (WDW) equation for the model is studied. Under certain restrictions asymptotic solutions to WDW equation are found in the limit of the formation of the billiard walls which reduce the problem to the so-called quantum billiard on the (D+ l -2)-dimensional Lobachevsky space. Two examples of quantum billiards are consi","authors_text":"V. D. Ivashchuk, V. N. Melnikov","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-16T17:10:42Z","title":"Quantum billiards in multidimensional models with branes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4451","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":"sha256:6aa249f78fb1f7113f824f1fbad81d91921cea24d3be29342a59182eba6d7709","target":"record","created_at":"2026-05-18T02:28:55Z","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":"ea2b76348d2b6706f6099eded620adcacf2fb79e725083b45a00f880aace4a64","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-16T17:10:42Z","title_canon_sha256":"7ff96382af399a6b54ce7456d84bd8b2f31f8c6744b028fce2b38f85d3c8a167"},"schema_version":"1.0","source":{"id":"1310.4451","kind":"arxiv","version":3}},"canonical_sha256":"d30a22687c28ab8ebc7e09822867c895fdd4219e0e434d7845f31f839f5072b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d30a22687c28ab8ebc7e09822867c895fdd4219e0e434d7845f31f839f5072b0","first_computed_at":"2026-05-18T02:28:55.279704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:55.279704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dqPQzdU9jw9bwj7b4jZZ+n+nLOiNmHYutoSArqwpZm1kLFqPqR0IHIEX7I3DkfddZlDC1RQn7Yz6dSRJwb+LDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:55.280225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4451","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6aa249f78fb1f7113f824f1fbad81d91921cea24d3be29342a59182eba6d7709","sha256:9525defee795c0ce74e746834848650964cf237124f65fbbae1752f226a91bc4"],"state_sha256":"42471870735fc39522d4962481f658eeafcc3a6cbab00496639dfb70ed9ab8e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gUArMiHfTj777uNIwYDRpYOYTdIC/CYpZwAnOWrmQeIhPpW+9fXWmqlbE5OiKB9QrR4Md2RLdFruxWJKBGhbDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:26:06.167179Z","bundle_sha256":"1c932da6f3220b8e399affe64134f01cc94f1852317becefe3d12777dba6095f"}}