{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZBJB7ENWLW5XBZXIMVWMTZLPQV","short_pith_number":"pith:ZBJB7ENW","schema_version":"1.0","canonical_sha256":"c8521f91b65dbb70e6e8656cc9e56f854fb19c15224389055dcaf4d1a400f115","source":{"kind":"arxiv","id":"1711.01394","version":2},"attestation_state":"computed","paper":{"title":"Cosmic time and reduced phase space of General Relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Chopin Soo, Eyo Eyo Ita III, Hoi-Lai Yu","submitted_at":"2017-11-04T04:53:12Z","abstract_excerpt":"In an ever-expanding spatially closed universe, the fractional change of the volume is the preeminent intrinsic time interval to describe evolution in General Relativity. The expansion of the universe serves as a subsidiary condition which transforms Einstein's theory from a first class to a second class constrained system when the physical degrees of freedom (d.o.f.) are identified with transverse traceless excitations. The super-Hamiltonian constraint is solved by eliminating the trace of the momentum in terms of the other variables, and spatial diffeomorphism symmetry is tackled explicitly "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1711.01394","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-11-04T04:53:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"df894756383ae5b8c59bc4f558ef49ab900c87b7ae49d958ee91dd1a01148a70","abstract_canon_sha256":"9b82bddc495c15e94dcd594bad9bda1db6a766693f3de64a50b9dc92669d97f5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:21.791585Z","signature_b64":"hHhfqSap3gIOOTDgaPdqsaIrOM1mKp24tePC7ddZ6HaVAShQ85mYj0c7T9MytGKDpqOKKl1msmiaUc3gzY/ODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8521f91b65dbb70e6e8656cc9e56f854fb19c15224389055dcaf4d1a400f115","last_reissued_at":"2026-05-18T00:13:21.791007Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:21.791007Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmic time and reduced phase space of General Relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Chopin Soo, Eyo Eyo Ita III, Hoi-Lai Yu","submitted_at":"2017-11-04T04:53:12Z","abstract_excerpt":"In an ever-expanding spatially closed universe, the fractional change of the volume is the preeminent intrinsic time interval to describe evolution in General Relativity. The expansion of the universe serves as a subsidiary condition which transforms Einstein's theory from a first class to a second class constrained system when the physical degrees of freedom (d.o.f.) are identified with transverse traceless excitations. The super-Hamiltonian constraint is solved by eliminating the trace of the momentum in terms of the other variables, and spatial diffeomorphism symmetry is tackled explicitly "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01394","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1711.01394","created_at":"2026-05-18T00:13:21.791079+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.01394v2","created_at":"2026-05-18T00:13:21.791079+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01394","created_at":"2026-05-18T00:13:21.791079+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZBJB7ENWLW5X","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZBJB7ENWLW5XBZXI","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZBJB7ENW","created_at":"2026-05-18T12:31:59.375834+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZBJB7ENWLW5XBZXIMVWMTZLPQV","json":"https://pith.science/pith/ZBJB7ENWLW5XBZXIMVWMTZLPQV.json","graph_json":"https://pith.science/api/pith-number/ZBJB7ENWLW5XBZXIMVWMTZLPQV/graph.json","events_json":"https://pith.science/api/pith-number/ZBJB7ENWLW5XBZXIMVWMTZLPQV/events.json","paper":"https://pith.science/paper/ZBJB7ENW"},"agent_actions":{"view_html":"https://pith.science/pith/ZBJB7ENWLW5XBZXIMVWMTZLPQV","download_json":"https://pith.science/pith/ZBJB7ENWLW5XBZXIMVWMTZLPQV.json","view_paper":"https://pith.science/paper/ZBJB7ENW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.01394&json=true","fetch_graph":"https://pith.science/api/pith-number/ZBJB7ENWLW5XBZXIMVWMTZLPQV/graph.json","fetch_events":"https://pith.science/api/pith-number/ZBJB7ENWLW5XBZXIMVWMTZLPQV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZBJB7ENWLW5XBZXIMVWMTZLPQV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZBJB7ENWLW5XBZXIMVWMTZLPQV/action/storage_attestation","attest_author":"https://pith.science/pith/ZBJB7ENWLW5XBZXIMVWMTZLPQV/action/author_attestation","sign_citation":"https://pith.science/pith/ZBJB7ENWLW5XBZXIMVWMTZLPQV/action/citation_signature","submit_replication":"https://pith.science/pith/ZBJB7ENWLW5XBZXIMVWMTZLPQV/action/replication_record"}},"created_at":"2026-05-18T00:13:21.791079+00:00","updated_at":"2026-05-18T00:13:21.791079+00:00"}