{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:TDGUXDYZOTAH6NSUJSZIMTDADB","short_pith_number":"pith:TDGUXDYZ","canonical_record":{"source":{"id":"1109.5901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-27T14:13:34Z","cross_cats_sorted":[],"title_canon_sha256":"61069a9f0d98b42f270090cdf0a93417ece973edb3b3f48e8654fe6e2dd1d9ad","abstract_canon_sha256":"94879db2af5d7b4218eafc638a84aaac4a1f48a1f2cd815e841744f4865554bd"},"schema_version":"1.0"},"canonical_sha256":"98cd4b8f1974c07f36544cb2864c601866587011801656f10522ce086eea0c81","source":{"kind":"arxiv","id":"1109.5901","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5901","created_at":"2026-05-18T02:00:22Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5901v1","created_at":"2026-05-18T02:00:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5901","created_at":"2026-05-18T02:00:22Z"},{"alias_kind":"pith_short_12","alias_value":"TDGUXDYZOTAH","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TDGUXDYZOTAH6NSU","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TDGUXDYZ","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:TDGUXDYZOTAH6NSUJSZIMTDADB","target":"record","payload":{"canonical_record":{"source":{"id":"1109.5901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-27T14:13:34Z","cross_cats_sorted":[],"title_canon_sha256":"61069a9f0d98b42f270090cdf0a93417ece973edb3b3f48e8654fe6e2dd1d9ad","abstract_canon_sha256":"94879db2af5d7b4218eafc638a84aaac4a1f48a1f2cd815e841744f4865554bd"},"schema_version":"1.0"},"canonical_sha256":"98cd4b8f1974c07f36544cb2864c601866587011801656f10522ce086eea0c81","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:22.726571Z","signature_b64":"uqdZ2Pe7WXSMpOQ9K5qoyGpUJZTTdV6eG8hd3Cq/SyrVNAO0TEYctzasg8gF7adkZ9o3unV5GpnIAvBkSgLcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98cd4b8f1974c07f36544cb2864c601866587011801656f10522ce086eea0c81","last_reissued_at":"2026-05-18T02:00:22.725799Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:22.725799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.5901","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":"2026-05-18T02:00:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K9nv/WzVjJYWGtizXEgI/xV5ZYrlLDVT5P4hTCz7sFmJ0ru4OZzSFWRUvU1SfphJJNkRkcJQbLGuL3cJO5EJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:17:00.964513Z"},"content_sha256":"e040e9e963f487e37c29746922a169e607af0d88d26993381ef72dd9cfa791d8","schema_version":"1.0","event_id":"sha256:e040e9e963f487e37c29746922a169e607af0d88d26993381ef72dd9cfa791d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:TDGUXDYZOTAH6NSUJSZIMTDADB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical bouncing Universes from vector fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Michal Artymowski, Zygmunt Lalak","submitted_at":"2011-09-27T14:13:34Z","abstract_excerpt":"For the anisotropic Universe filled with massless vector field in the General Relativity frame we obtain bouncing solution for one of scale factors. We obtain the Universe with finite maximal energy density, finite value of $R,R^{\\mu\\nu}R_{\\mu\\nu},R^{\\mu\\nu\\alpha\\beta}R_{\\mu\\nu\\alpha\\beta}$ and non-zero value of a scale factor for directions transverse to a vector field. Such a bounce can be also obtained for a massive vector field with kinetic initial conditions, which gives isotropic low energy limit. We discuss the existence of a bounce for a massless vector field with additional matter fie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5901","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":"2026-05-18T02:00:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"etJlXKQCRlN0CkTFTINTllUWQmsw52kPR8cBw3Wye8vBOZym5L1la/yX5zPFqpLcTB0OqobGLWmouyUfyDBsAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:17:00.964855Z"},"content_sha256":"e9735f9c23bb8490a0a04b02a96ed958940a2948dfc7342b75052ed1dfdbe334","schema_version":"1.0","event_id":"sha256:e9735f9c23bb8490a0a04b02a96ed958940a2948dfc7342b75052ed1dfdbe334"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TDGUXDYZOTAH6NSUJSZIMTDADB/bundle.json","state_url":"https://pith.science/pith/TDGUXDYZOTAH6NSUJSZIMTDADB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TDGUXDYZOTAH6NSUJSZIMTDADB/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":"2026-06-07T10:17:00Z","links":{"resolver":"https://pith.science/pith/TDGUXDYZOTAH6NSUJSZIMTDADB","bundle":"https://pith.science/pith/TDGUXDYZOTAH6NSUJSZIMTDADB/bundle.json","state":"https://pith.science/pith/TDGUXDYZOTAH6NSUJSZIMTDADB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TDGUXDYZOTAH6NSUJSZIMTDADB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:TDGUXDYZOTAH6NSUJSZIMTDADB","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":"94879db2af5d7b4218eafc638a84aaac4a1f48a1f2cd815e841744f4865554bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-27T14:13:34Z","title_canon_sha256":"61069a9f0d98b42f270090cdf0a93417ece973edb3b3f48e8654fe6e2dd1d9ad"},"schema_version":"1.0","source":{"id":"1109.5901","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5901","created_at":"2026-05-18T02:00:22Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5901v1","created_at":"2026-05-18T02:00:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5901","created_at":"2026-05-18T02:00:22Z"},{"alias_kind":"pith_short_12","alias_value":"TDGUXDYZOTAH","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"TDGUXDYZOTAH6NSU","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"TDGUXDYZ","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:e9735f9c23bb8490a0a04b02a96ed958940a2948dfc7342b75052ed1dfdbe334","target":"graph","created_at":"2026-05-18T02:00:22Z","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":"For the anisotropic Universe filled with massless vector field in the General Relativity frame we obtain bouncing solution for one of scale factors. We obtain the Universe with finite maximal energy density, finite value of $R,R^{\\mu\\nu}R_{\\mu\\nu},R^{\\mu\\nu\\alpha\\beta}R_{\\mu\\nu\\alpha\\beta}$ and non-zero value of a scale factor for directions transverse to a vector field. Such a bounce can be also obtained for a massive vector field with kinetic initial conditions, which gives isotropic low energy limit. We discuss the existence of a bounce for a massless vector field with additional matter fie","authors_text":"Michal Artymowski, Zygmunt Lalak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-27T14:13:34Z","title":"Classical bouncing Universes from vector fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5901","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:e040e9e963f487e37c29746922a169e607af0d88d26993381ef72dd9cfa791d8","target":"record","created_at":"2026-05-18T02:00:22Z","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":"94879db2af5d7b4218eafc638a84aaac4a1f48a1f2cd815e841744f4865554bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-27T14:13:34Z","title_canon_sha256":"61069a9f0d98b42f270090cdf0a93417ece973edb3b3f48e8654fe6e2dd1d9ad"},"schema_version":"1.0","source":{"id":"1109.5901","kind":"arxiv","version":1}},"canonical_sha256":"98cd4b8f1974c07f36544cb2864c601866587011801656f10522ce086eea0c81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98cd4b8f1974c07f36544cb2864c601866587011801656f10522ce086eea0c81","first_computed_at":"2026-05-18T02:00:22.725799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:22.725799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uqdZ2Pe7WXSMpOQ9K5qoyGpUJZTTdV6eG8hd3Cq/SyrVNAO0TEYctzasg8gF7adkZ9o3unV5GpnIAvBkSgLcCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:22.726571Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.5901","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e040e9e963f487e37c29746922a169e607af0d88d26993381ef72dd9cfa791d8","sha256:e9735f9c23bb8490a0a04b02a96ed958940a2948dfc7342b75052ed1dfdbe334"],"state_sha256":"9f593a23ae0ecfa1406d65f22effcaa089c9e3674af9548f1406f5ee193b4a6b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YLlkvU8mzp+RZ6YRLlQO02vrGGmt8tbbyFW0/C0aGirAHDlmdlMgvyUAANkSZX4Ug1IxULCeVa7OSmg84XPXCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:17:00.966904Z","bundle_sha256":"899c3f05dabb7c1215a07bee55882846ec58b8acbc7c1af8b142facfa5a541c3"}}