{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:W27GOEKZQPK6ZCD4EFVH7IMODB","short_pith_number":"pith:W27GOEKZ","canonical_record":{"source":{"id":"hep-th/9904077","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-04-09T17:47:33Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"acb40c71f8b8950828b883013186d489165737e3ea3377a91a322dd132c3a71d","abstract_canon_sha256":"11f5b024b2d6e0d5de982d082ea1656364f805b0ad371c891a31a4853c95d7da"},"schema_version":"1.0"},"canonical_sha256":"b6be67115983d5ec887c216a7fa18e18759052b8f9850b1aeaec34557cc6ede6","source":{"kind":"arxiv","id":"hep-th/9904077","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9904077","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9904077v1","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9904077","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"pith_short_12","alias_value":"W27GOEKZQPK6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"W27GOEKZQPK6ZCD4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"W27GOEKZ","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:W27GOEKZQPK6ZCD4EFVH7IMODB","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9904077","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-04-09T17:47:33Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"acb40c71f8b8950828b883013186d489165737e3ea3377a91a322dd132c3a71d","abstract_canon_sha256":"11f5b024b2d6e0d5de982d082ea1656364f805b0ad371c891a31a4853c95d7da"},"schema_version":"1.0"},"canonical_sha256":"b6be67115983d5ec887c216a7fa18e18759052b8f9850b1aeaec34557cc6ede6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:15.445171Z","signature_b64":"K5wpAyqDXBvuZdfWKklaUIP+XqfFz9pILDhdQIWdhG5CbWZXIiYwYXiQYQQO31a2XFKZMBXbgBMTk3x8OSZwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6be67115983d5ec887c216a7fa18e18759052b8f9850b1aeaec34557cc6ede6","last_reissued_at":"2026-05-18T04:24:15.444530Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:15.444530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9904077","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:24:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GqHQOBF+3ejsNmIUQM994T7Vl+TrAp9eAvJ/Q9BSTMRimrzeNlBVnWknSR6nNu2xlhB8H9ivgO0HIsxfpVxWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:35:55.193675Z"},"content_sha256":"ca8aff7dae806e65a193989789dd98c4c9398d2caf27528d48388affda9070ca","schema_version":"1.0","event_id":"sha256:ca8aff7dae806e65a193989789dd98c4c9398d2caf27528d48388affda9070ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:W27GOEKZQPK6ZCD4EFVH7IMODB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Billiard Representation for Multidimensional Cosmology with Intersecting p-branes near the Singularity","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"V. D. Ivashchuk, V. N. Melnikov","submitted_at":"1999-04-09T17:47:33Z","abstract_excerpt":"Multidimensional model describing the cosmological evolution of n Einstein spaces in the theory with l scalar fields and forms is considered. When electro-magnetic composite p-brane ansatz is adopted, and certain restrictions on the parameters of the model are imposed, the dynamics of the model near the singularity is reduced to a billiard on the (N-1)-dimensional Lobachevsky space, N = n+l. The geometrical criterion for the finiteness of the billiard volume and its compactness is used. This criterion reduces the problem to the problem of illumination of (N-2)-dimensional sphere by point-like "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9904077","kind":"arxiv","version":1},"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":"2026-05-18T04:24:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tGjOCxnpOpjLUmH4nsv4FTPnstOfGoiM9AqIWLQriVyaBKuyMcjLL20HEno/xUth94zXAHFRFrK1LIbrrJKuAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:35:55.194017Z"},"content_sha256":"050c606aca84724a5099edbcf21fe011269d89438a57002f78857823aed00e32","schema_version":"1.0","event_id":"sha256:050c606aca84724a5099edbcf21fe011269d89438a57002f78857823aed00e32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W27GOEKZQPK6ZCD4EFVH7IMODB/bundle.json","state_url":"https://pith.science/pith/W27GOEKZQPK6ZCD4EFVH7IMODB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W27GOEKZQPK6ZCD4EFVH7IMODB/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":"2026-05-28T07:35:55Z","links":{"resolver":"https://pith.science/pith/W27GOEKZQPK6ZCD4EFVH7IMODB","bundle":"https://pith.science/pith/W27GOEKZQPK6ZCD4EFVH7IMODB/bundle.json","state":"https://pith.science/pith/W27GOEKZQPK6ZCD4EFVH7IMODB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W27GOEKZQPK6ZCD4EFVH7IMODB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:W27GOEKZQPK6ZCD4EFVH7IMODB","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":"11f5b024b2d6e0d5de982d082ea1656364f805b0ad371c891a31a4853c95d7da","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"1999-04-09T17:47:33Z","title_canon_sha256":"acb40c71f8b8950828b883013186d489165737e3ea3377a91a322dd132c3a71d"},"schema_version":"1.0","source":{"id":"hep-th/9904077","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9904077","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9904077v1","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9904077","created_at":"2026-05-18T04:24:15Z"},{"alias_kind":"pith_short_12","alias_value":"W27GOEKZQPK6","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"W27GOEKZQPK6ZCD4","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"W27GOEKZ","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:050c606aca84724a5099edbcf21fe011269d89438a57002f78857823aed00e32","target":"graph","created_at":"2026-05-18T04:24:15Z","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":"Multidimensional model describing the cosmological evolution of n Einstein spaces in the theory with l scalar fields and forms is considered. When electro-magnetic composite p-brane ansatz is adopted, and certain restrictions on the parameters of the model are imposed, the dynamics of the model near the singularity is reduced to a billiard on the (N-1)-dimensional Lobachevsky space, N = n+l. The geometrical criterion for the finiteness of the billiard volume and its compactness is used. This criterion reduces the problem to the problem of illumination of (N-2)-dimensional sphere by point-like ","authors_text":"V. D. Ivashchuk, V. N. Melnikov","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-04-09T17:47:33Z","title":"Billiard Representation for Multidimensional Cosmology with Intersecting p-branes near the Singularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9904077","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:ca8aff7dae806e65a193989789dd98c4c9398d2caf27528d48388affda9070ca","target":"record","created_at":"2026-05-18T04:24:15Z","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":"11f5b024b2d6e0d5de982d082ea1656364f805b0ad371c891a31a4853c95d7da","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"1999-04-09T17:47:33Z","title_canon_sha256":"acb40c71f8b8950828b883013186d489165737e3ea3377a91a322dd132c3a71d"},"schema_version":"1.0","source":{"id":"hep-th/9904077","kind":"arxiv","version":1}},"canonical_sha256":"b6be67115983d5ec887c216a7fa18e18759052b8f9850b1aeaec34557cc6ede6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6be67115983d5ec887c216a7fa18e18759052b8f9850b1aeaec34557cc6ede6","first_computed_at":"2026-05-18T04:24:15.444530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:15.444530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K5wpAyqDXBvuZdfWKklaUIP+XqfFz9pILDhdQIWdhG5CbWZXIiYwYXiQYQQO31a2XFKZMBXbgBMTk3x8OSZwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:15.445171Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9904077","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca8aff7dae806e65a193989789dd98c4c9398d2caf27528d48388affda9070ca","sha256:050c606aca84724a5099edbcf21fe011269d89438a57002f78857823aed00e32"],"state_sha256":"ee54b9ec193257defa936b5f0a2a31e6808295af62f1b6a0759835912560ad59"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CIYy2Xzf1kVEN1Yo71gEQsOuEfjJQ1Gczg/R7J8GWWsuPFutBOYAJRJZbVRWhd8SD3JEl2SiNgcowm4XEDBqCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T07:35:55.196016Z","bundle_sha256":"0d930c7c5490ff21f81849bcd5bb51d34a4e90780ab034c07d36793d71f68c65"}}