{"as_of":"2026-08-16T11:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:db7a37f9551f115b4a20dd9ce8ccb12144b9e0526965608b8e0a6f21be32d608","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T22:15:15.742811Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-15T20:28:06.508651Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.16404","last_updated":"2024-04-25T08:31:40Z","snapshot_observed_at":"2026-08-14T14:49:39.099055Z","submitted_at":"2024-04-25T08:31:40Z","title":"Counting $U(N)^{\\otimes r}\\otimes O(N)^{\\otimes q}$ invariants and tensor model observables","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.16404","snapshot_observed_at":"2026-08-15T22:15:15.742811Z","title":"Avohou, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.08132","last_updated":"2025-05-13T00:07:42Z","snapshot_observed_at":"2026-08-15T22:00:24.959594Z","submitted_at":"2025-05-13T00:07:42Z","title":"Correlators in two rainbow tensor and complex multi-matrix models","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T22:15:15.742811Z"},"links":{"cited_paper":"/paper/2404.16404","citing_paper":"/paper/2505.08132"},"observation_digest":"sha256:5ae9c49ebbf943f0e3f82862444aa25f80f341ecef06e3a26478811f5e67c7b9","observation_id":"da777ac7-a1b7-4018-abe7-b7966646490f","resolution":{"observed_at":"2026-08-15T22:15:15.742811Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.16404","last_updated":"2024-04-25T08:31:40Z","snapshot_observed_at":"2026-08-14T14:49:39.099055Z","submitted_at":"2024-04-25T08:31:40Z","title":"Counting $U(N)^{\\otimes r}\\otimes O(N)^{\\otimes q}$ invariants and tensor model observables","version":1},"cited_work":{"arxiv_id":"2404.16404","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.16404","snapshot_observed_at":"2026-08-15T20:28:06.508651Z","title":"Counting $U(N)^{\\otimes r}\\otimes O(N)^{\\otimes q}$ invariants and tensor model observables","venue":"hep-th","work_id":"f9fbc305-129d-405c-b5f0-c803de476be4","year":2024},"citing_paper":{"arxiv_id":"2505.13236","last_updated":"2025-05-19T15:19:16Z","snapshot_observed_at":"2026-08-15T20:14:47.519282Z","submitted_at":"2025-05-19T15:19:16Z","title":"Multiple-Order Tensor Field Theory: Enumeration of unitary invariant observables","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:06.199756Z"},"links":{"cited_paper":"/paper/2404.16404","citing_paper":"/paper/2505.13236"},"observation_digest":"sha256:157c5b4ee558f31c053c636d3739911e3aac005943acdd7454e71926b0882bcf","observation_id":"9f62efe4-18eb-45c5-951e-1600048f4b00","resolution":{"observed_at":"2026-08-15T20:28:06.511709Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.16404","last_updated":"2024-04-25T08:31:40Z","snapshot_observed_at":"2026-08-14T14:49:39.099055Z","submitted_at":"2024-04-25T08:31:40Z","title":"Counting $U(N)^{\\otimes r}\\otimes O(N)^{\\otimes q}$ invariants and tensor model observables","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.16404","snapshot_observed_at":"2026-08-02T12:05:15.768229Z","title":"CountingU(N) ⊗r ⊗O(N) ⊗q invariants and tensor model observables,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.09521","last_updated":"2026-07-20T15:55:01Z","snapshot_observed_at":"2026-08-13T04:50:59.049770Z","submitted_at":"2026-06-08T14:10:20Z","title":"Negative heat capacities in spherically symmetric sectors of $d$-matrix quantum mechanics","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-02T12:05:15.768229Z"},"links":{"cited_paper":"/paper/2404.16404","citing_paper":"/paper/2606.09521"},"observation_digest":"sha256:98b11bed2cd234545e9cfc0f461d54d7cdaa9539fe339b420e487887ca7d47b2","observation_id":"76dd3923-6019-4b43-bc07-4a5c6f58fab9","resolution":{"observed_at":"2026-08-02T12:05:15.768229Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2404.16404/citation-record","integrity":"/paper/2404.16404/integrity","json":"/paper/2404.16404/citation-record.json","paper":"/paper/2404.16404"},"outbound":[],"paper":{"arxiv_id":"2404.16404","last_updated":"2024-04-25T08:31:40Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-14T14:49:39.099055Z","submitted_at":"2024-04-25T08:31:40Z","title":"Counting $U(N)^{\\otimes r}\\otimes O(N)^{\\otimes q}$ invariants and tensor model observables"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2404.16404."}