{"as_of":"2026-08-13T03:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:69452bba3f5a76097d7410da9218839446a295b8ad10860d475ea67a2d7cad45","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T04:33:08.569870Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T00:06:23.030751Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2004.00309","last_updated":"2020-12-30T12:04:04Z","snapshot_observed_at":"2026-08-11T22:55:34.289170Z","submitted_at":"2020-04-01T09:42:56Z","title":"Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.00309","snapshot_observed_at":"2026-08-12T04:33:08.569870Z","title":"Mäkinen, Operators of quantum-reduced loop gravity from the perspec tive of full loop quantum gravity, Phys","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.01368","last_updated":"2024-12-02T10:53:18Z","snapshot_observed_at":"2026-08-12T09:17:52.478205Z","submitted_at":"2024-12-02T10:53:18Z","title":"Quantum-reduced loop gravity: New perspectives on the kinematics and dynamics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T04:33:08.569870Z"},"links":{"cited_paper":"/paper/2004.00309","citing_paper":"/paper/2412.01368"},"observation_digest":"sha256:3dc275ba2f064b836a95e9e80d740a74c240acbca3ac78b44823279a3ce24ebe","observation_id":"62933fa9-9d64-46fb-93f3-0624c0542086","resolution":{"observed_at":"2026-08-12T04:33:08.569870Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.00309","last_updated":"2020-12-30T12:04:04Z","snapshot_observed_at":"2026-08-11T22:55:34.289170Z","submitted_at":"2020-04-01T09:42:56Z","title":"Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.00309","snapshot_observed_at":"2026-08-12T04:31:43.183112Z","title":"Mäkinen, Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity, Phys","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2412.01375","last_updated":"2025-04-30T15:40:33Z","snapshot_observed_at":"2026-08-12T12:07:21.293194Z","submitted_at":"2024-12-02T11:00:05Z","title":"On the dynamics of single-vertex states in quantum-reduced loop gravity","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T04:31:43.183112Z"},"links":{"cited_paper":"/paper/2004.00309","citing_paper":"/paper/2412.01375"},"observation_digest":"sha256:f15133c3630e1cb8b360f1d29960d6cf48106269947b19ecbe07a1e6670c1de4","observation_id":"f6a14b84-d277-479f-aee0-fc0d2378512b","resolution":{"observed_at":"2026-08-12T04:31:43.183112Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2004.00309","last_updated":"2020-12-30T12:04:04Z","snapshot_observed_at":"2026-08-11T22:55:34.289170Z","submitted_at":"2020-04-01T09:42:56Z","title":"Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity","version":3},"cited_work":{"arxiv_id":"2004.00309","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2004.00309","snapshot_observed_at":"2026-07-02T00:06:23.030751Z","title":"Mäkinen,Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity, Phys","venue":null,"work_id":"e59827bb-3fd2-4469-8956-9edb9c095a7f","year":2020},"citing_paper":{"arxiv_id":"2605.18625","last_updated":"2026-05-18T16:33:07Z","snapshot_observed_at":"2026-08-05T16:54:23.202324Z","submitted_at":"2026-05-18T16:33:07Z","title":"Emergent Thiemann coherent states in the near-kernel sector of quantum reduced loop gravity","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-20T08:47:23.190919Z"},"links":{"cited_paper":"/paper/2004.00309","citing_paper":"/paper/2605.18625"},"observation_digest":"sha256:2cceda3cbbe278e3cacae3a154d9541e00de903dcbb3a77fc00b3ed41538a2b9","observation_id":"5680771f-7f36-4463-a265-375ca18cc5f6","resolution":{"observed_at":"2026-05-20T08:48:09.095567Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2004.00309","last_updated":"2020-12-30T12:04:04Z","snapshot_observed_at":"2026-08-11T22:55:34.289170Z","submitted_at":"2020-04-01T09:42:56Z","title":"Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity","version":3},"cited_work":{"arxiv_id":"2004.00309","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2004.00309","snapshot_observed_at":"2026-07-02T00:06:23.030751Z","title":"Mäkinen,Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity, Phys","venue":null,"work_id":"e59827bb-3fd2-4469-8956-9edb9c095a7f","year":2020},"citing_paper":{"arxiv_id":"2606.01930","last_updated":"2026-06-01T09:00:00Z","snapshot_observed_at":"2026-08-08T22:16:50.584241Z","submitted_at":"2026-06-01T09:00:00Z","title":"Effective dynamics of a homogeneous and isotropic universe with quantum curvature","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-28T13:42:19.242451Z"},"links":{"cited_paper":"/paper/2004.00309","citing_paper":"/paper/2606.01930"},"observation_digest":"sha256:dd7f1a7f371e003314817f13405208191081c8f1846cadfa8ebe536e12456f39","observation_id":"6c906b48-4aee-4629-b365-79e9759bf520","resolution":{"observed_at":"2026-07-02T00:06:23.034570Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2004.00309/citation-record","integrity":"/paper/2004.00309/integrity","json":"/paper/2004.00309/citation-record.json","paper":"/paper/2004.00309"},"outbound":[],"paper":{"arxiv_id":"2004.00309","last_updated":"2020-12-30T12:04:04Z","latest_version":3,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-11T22:55:34.289170Z","submitted_at":"2020-04-01T09:42:56Z","title":"Operators of quantum-reduced loop gravity from the perspective of full loop quantum gravity"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2004.00309."}