{"as_of":"2026-08-12T03:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:acb21ed3fbd29f5aafd1846b9976f20977787475b0c149da4829e205a157ff4a","coverage":[{"denominator":5,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T23:43:55.681962Z","state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-12T01:15:01.001167Z","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":"2026-05-12T08:21:23.768430Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.05103","last_updated":"2025-08-07T07:39:54Z","snapshot_observed_at":"2026-08-05T23:43:53.361400Z","submitted_at":"2025-08-07T07:39:54Z","title":"Quantum Path Signatures","version":1},"cited_work":{"arxiv_id":"2508.05103","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.05103","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2508.05103 , year=","venue":null,"work_id":"f9647f94-a6e2-4de3-aae9-9f5b4bbd4acc","year":null},"citing_paper":{"arxiv_id":"2605.08844","last_updated":"2026-05-09T09:56:30Z","snapshot_observed_at":"2026-08-02T21:39:50.508684Z","submitted_at":"2026-05-09T09:56:30Z","title":"Signature Kernel and Schwinger-Dyson Kernel Equations as Two-Parameter Rough Differential Equations","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-05-12T01:15:01.001167Z"},"links":{"cited_paper":"/paper/2508.05103","citing_paper":"/paper/2605.08844"},"observation_digest":"sha256:18a3a2fb4eebc50841d2e2d8e4e27c3c0ce443b7025fe62e88bd49a739e22b4b","observation_id":"88ea29d2-14df-47c0-971d-893ac0ca3966","resolution":{"observed_at":"2026-05-12T08:21:23.771433Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2508.05103/citation-record","integrity":"/paper/2508.05103/integrity","json":"/paper/2508.05103/citation-record.json","paper":"/paper/2508.05103"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T23:43:56.350493Z","title":null,"venue":null,"work_id":"d4df8cfb-58a4-4c7a-932f-aecdfca7f955","year":null},"citing_paper":{"arxiv_id":"2508.05103","last_updated":"2025-08-07T07:39:54Z","snapshot_observed_at":"2026-08-05T23:43:53.361400Z","submitted_at":"2025-08-07T07:39:54Z","title":"Quantum Path Signatures","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T23:43:55.576752Z"},"links":{"citing_paper":"/paper/2508.05103"},"observation_digest":"sha256:496d282775d211b1d7e6b9251a3972b946313f4e84fa964a8d1f734f07cba20b","observation_id":"e374ee05-cd7c-46f2-9045-8922be4f7605","resolution":{"observed_at":"2026-08-05T23:43:56.512628Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T23:43:56.862710Z","title":null,"venue":null,"work_id":"19950320-3686-4c46-9505-0eae82f034b8","year":null},"citing_paper":{"arxiv_id":"2508.05103","last_updated":"2025-08-07T07:39:54Z","snapshot_observed_at":"2026-08-05T23:43:53.361400Z","submitted_at":"2025-08-07T07:39:54Z","title":"Quantum Path Signatures","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T23:43:55.266965Z"},"links":{"citing_paper":"/paper/2508.05103"},"observation_digest":"sha256:fed3cab2c545cd2455b75b23d4978f431a13af0d5df409a6277f55aa9e950cc2","observation_id":"102fa812-4797-4b3f-b481-3ac32634f968","resolution":{"observed_at":"2026-08-05T23:43:56.948233Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T23:43:56.620450Z","title":"Then E tr Xu tr Xv ≤ 1 4","venue":null,"work_id":"90ee916b-1748-4e23-91bc-d3046c14e407","year":null},"citing_paper":{"arxiv_id":"2508.05103","last_updated":"2025-08-07T07:39:54Z","snapshot_observed_at":"2026-08-05T23:43:53.361400Z","submitted_at":"2025-08-07T07:39:54Z","title":"Quantum Path Signatures","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T23:43:55.417523Z"},"links":{"citing_paper":"/paper/2508.05103"},"observation_digest":"sha256:0b16c4472c95e8bd7f9072aa17f09cf9429e28b076358594fefa84f298c592fe","observation_id":"1bbcde43-9f16-44dd-9c7c-8da020845c8d","resolution":{"observed_at":"2026-08-05T23:43:56.739645Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T23:43:56.127335Z","title":"By (82) and the property of traces of the group G, then E tr σu w ≤ 1","venue":null,"work_id":"8773f06a-037b-431e-9233-5454ee03c120","year":null},"citing_paper":{"arxiv_id":"2508.05103","last_updated":"2025-08-07T07:39:54Z","snapshot_observed_at":"2026-08-05T23:43:53.361400Z","submitted_at":"2025-08-07T07:39:54Z","title":"Quantum Path Signatures","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T23:43:55.681962Z"},"links":{"citing_paper":"/paper/2508.05103"},"observation_digest":"sha256:acd21856e7d7b0c060ff4267c5bf6ff7add763bc83ff549d3a400b4f6c577b87","observation_id":"865e9aa5-710f-4a1d-8350-489571c162f7","resolution":{"observed_at":"2026-08-05T23:43:56.229607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.14258","last_updated":"2023-06-25T14:30:33Z","snapshot_observed_at":"2026-08-07T18:28:37.928458Z","submitted_at":"2023-06-25T14:30:33Z","title":"A Neural RDE approach for continuous-time non-Markovian stochastic control problems","version":1},"cited_work":{"arxiv_id":"2306.14258","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.14258","snapshot_observed_at":"2026-08-05T23:43:55.847964Z","title":"A Neural RDE approach for continuous-time non-Markovian stochastic control problems","venue":"cs.LG","work_id":"8cbe11e2-9200-424a-bc44-bb074f17e398","year":2023},"citing_paper":{"arxiv_id":"2508.05103","last_updated":"2025-08-07T07:39:54Z","snapshot_observed_at":"2026-08-05T23:43:53.361400Z","submitted_at":"2025-08-07T07:39:54Z","title":"Quantum Path Signatures","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-05T23:43:55.156402Z"},"links":{"cited_paper":"/paper/2306.14258","citing_paper":"/paper/2508.05103"},"observation_digest":"sha256:0f2f42007caf400ce1ed5200c04704f8dd85fb601d0fa7a93936b126046ff8ce","observation_id":"d6ab2653-48d9-4225-b4bc-912af9393744","resolution":{"observed_at":"2026-08-05T23:43:55.984652Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.05103","last_updated":"2025-08-07T07:39:54Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-05T23:43:53.361400Z","submitted_at":"2025-08-07T07:39:54Z","title":"Quantum Path Signatures"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":2},"total_outbound_references":5},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 1 inbound Pith citation observation for arXiv:2508.05103."}