{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:C56F5W3RYDCU65UJCLOTGMHZ6H","short_pith_number":"pith:C56F5W3R","canonical_record":{"source":{"id":"1607.03478","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-12T19:47:13Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"16dbe359b092107cce40cc38200a3645d3876de787fbb252178761f0103ecafa","abstract_canon_sha256":"ccab646a9acc916536ca54e0f932d4f9a79f4fdc07206345fd42e28e5addbd08"},"schema_version":"1.0"},"canonical_sha256":"177c5edb71c0c54f768912dd3330f9f1e5c196397d952151cf42c03273b0f19e","source":{"kind":"arxiv","id":"1607.03478","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.03478","created_at":"2026-05-18T00:32:44Z"},{"alias_kind":"arxiv_version","alias_value":"1607.03478v1","created_at":"2026-05-18T00:32:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03478","created_at":"2026-05-18T00:32:44Z"},{"alias_kind":"pith_short_12","alias_value":"C56F5W3RYDCU","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C56F5W3RYDCU65UJ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C56F5W3R","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:C56F5W3RYDCU65UJCLOTGMHZ6H","target":"record","payload":{"canonical_record":{"source":{"id":"1607.03478","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-12T19:47:13Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"16dbe359b092107cce40cc38200a3645d3876de787fbb252178761f0103ecafa","abstract_canon_sha256":"ccab646a9acc916536ca54e0f932d4f9a79f4fdc07206345fd42e28e5addbd08"},"schema_version":"1.0"},"canonical_sha256":"177c5edb71c0c54f768912dd3330f9f1e5c196397d952151cf42c03273b0f19e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:44.461506Z","signature_b64":"3iW3SUagMBK3sS5X5Q+57aKCVFuYQ+Lwg3Gf6kkX6mqmLvnVGd434uCtezNuDKnirwCT2/UALaB3/VUqmwwIAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"177c5edb71c0c54f768912dd3330f9f1e5c196397d952151cf42c03273b0f19e","last_reissued_at":"2026-05-18T00:32:44.460904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:44.460904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.03478","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":"2026-05-18T00:32:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sst1bGQkL/k1gUr1BIMk38f5VtCofsetshAw8VlR0TTmgrXE8sf8ASjPFPYWi/gXZn0oc8ohxem8JqvfiSB1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T03:22:45.742932Z"},"content_sha256":"666f676d4bd5ecba0bcf23ab14ed83a3bf0d7a7097f30b37f3b6ed994b698e8f","schema_version":"1.0","event_id":"sha256:666f676d4bd5ecba0bcf23ab14ed83a3bf0d7a7097f30b37f3b6ed994b698e8f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:C56F5W3RYDCU65UJCLOTGMHZ6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical and quantum cosmology with two perfect fluids: stiff matter and radiation","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"F. G. Alvarenga, R. C. Freitas, R. Fracalossi, S. V. B. Gon\\c{c}alves","submitted_at":"2016-07-12T19:47:13Z","abstract_excerpt":"In this work the homogeneous and isotropic Universe of Friedmann-Robertson-Walker is studied in the presence of two fluids: stiff matter and radiation described by the Schutz's formalism. We obtain to the classic case the behaviour of the scale factor of the universe. For the quantum case the wave packets are constructed and the wave function of the universe is found."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03478","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":"2026-05-18T00:32:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"toJSdoXOAdj00Ntqg0rquNH2uFog876NqvW5EwqpmRHwSSWko78tTJ75fHtZiCgqHuQ0Dm0ZVufaYHI4jfaeBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T03:22:45.743425Z"},"content_sha256":"0cfe9577b05d51f386e61e17a040624bc5374cb9af53233d9c541e54d86f69fb","schema_version":"1.0","event_id":"sha256:0cfe9577b05d51f386e61e17a040624bc5374cb9af53233d9c541e54d86f69fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C56F5W3RYDCU65UJCLOTGMHZ6H/bundle.json","state_url":"https://pith.science/pith/C56F5W3RYDCU65UJCLOTGMHZ6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C56F5W3RYDCU65UJCLOTGMHZ6H/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":"2026-06-26T03:22:45Z","links":{"resolver":"https://pith.science/pith/C56F5W3RYDCU65UJCLOTGMHZ6H","bundle":"https://pith.science/pith/C56F5W3RYDCU65UJCLOTGMHZ6H/bundle.json","state":"https://pith.science/pith/C56F5W3RYDCU65UJCLOTGMHZ6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C56F5W3RYDCU65UJCLOTGMHZ6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:C56F5W3RYDCU65UJCLOTGMHZ6H","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":"ccab646a9acc916536ca54e0f932d4f9a79f4fdc07206345fd42e28e5addbd08","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-12T19:47:13Z","title_canon_sha256":"16dbe359b092107cce40cc38200a3645d3876de787fbb252178761f0103ecafa"},"schema_version":"1.0","source":{"id":"1607.03478","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.03478","created_at":"2026-05-18T00:32:44Z"},{"alias_kind":"arxiv_version","alias_value":"1607.03478v1","created_at":"2026-05-18T00:32:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03478","created_at":"2026-05-18T00:32:44Z"},{"alias_kind":"pith_short_12","alias_value":"C56F5W3RYDCU","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"C56F5W3RYDCU65UJ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"C56F5W3R","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:0cfe9577b05d51f386e61e17a040624bc5374cb9af53233d9c541e54d86f69fb","target":"graph","created_at":"2026-05-18T00:32:44Z","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":"In this work the homogeneous and isotropic Universe of Friedmann-Robertson-Walker is studied in the presence of two fluids: stiff matter and radiation described by the Schutz's formalism. We obtain to the classic case the behaviour of the scale factor of the universe. For the quantum case the wave packets are constructed and the wave function of the universe is found.","authors_text":"F. G. Alvarenga, R. C. Freitas, R. Fracalossi, S. V. B. Gon\\c{c}alves","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-12T19:47:13Z","title":"Classical and quantum cosmology with two perfect fluids: stiff matter and radiation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03478","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":"sha256:666f676d4bd5ecba0bcf23ab14ed83a3bf0d7a7097f30b37f3b6ed994b698e8f","target":"record","created_at":"2026-05-18T00:32:44Z","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":"ccab646a9acc916536ca54e0f932d4f9a79f4fdc07206345fd42e28e5addbd08","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"gr-qc","submitted_at":"2016-07-12T19:47:13Z","title_canon_sha256":"16dbe359b092107cce40cc38200a3645d3876de787fbb252178761f0103ecafa"},"schema_version":"1.0","source":{"id":"1607.03478","kind":"arxiv","version":1}},"canonical_sha256":"177c5edb71c0c54f768912dd3330f9f1e5c196397d952151cf42c03273b0f19e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"177c5edb71c0c54f768912dd3330f9f1e5c196397d952151cf42c03273b0f19e","first_computed_at":"2026-05-18T00:32:44.460904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:44.460904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3iW3SUagMBK3sS5X5Q+57aKCVFuYQ+Lwg3Gf6kkX6mqmLvnVGd434uCtezNuDKnirwCT2/UALaB3/VUqmwwIAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:44.461506Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.03478","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:666f676d4bd5ecba0bcf23ab14ed83a3bf0d7a7097f30b37f3b6ed994b698e8f","sha256:0cfe9577b05d51f386e61e17a040624bc5374cb9af53233d9c541e54d86f69fb"],"state_sha256":"6d0e17bf16dbccb85b17675d1e83854aa659c096521e084112536aa61cbb7560"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eRIoym92GUtY90W4h+eh+cKZfLFivLY9bgg4nz12nCnZr26W03Qo2YCTTJaiNW+XIa2ipSUKPV6JEoPzURKkBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T03:22:45.746034Z","bundle_sha256":"da3f2df0912f8031bc24ae141bea8d45e3daeb227c7e1d04420ce23440b86440"}}