{"as_of":"2026-08-06T20:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6a3a954ba76f6047bcf4ef6d42f225c11f6cb04120d328f7b742a340ce1e835a","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T04:47:49.271684Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-06T06:34:29.942622+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":"2026-08-03T02:17:59.137302Z","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":"2026-07-03T12:28:07.157476Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"cited_work":{"arxiv_id":"2606.27105","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.27105","snapshot_observed_at":"2026-07-03T12:28:07.157476Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","venue":"quant-ph","work_id":"931c6b69-309c-4f32-a370-d8287a7f5adb","year":2026},"citing_paper":{"arxiv_id":"2607.02242","last_updated":"2026-07-28T19:12:25Z","snapshot_observed_at":"2026-08-02T08:56:43.507653Z","submitted_at":"2026-07-02T14:38:25Z","title":"Computable fermionic non-Gaussianity from the covariance matrix","version":1},"reference_index":185,"source":"pdf_text","source_observed_at":"2026-07-03T12:22:45.190505Z"},"links":{"cited_paper":"/paper/2606.27105","citing_paper":"/paper/2607.02242"},"observation_digest":"sha256:50bdfa8588802f226319c8b8ac464d61b783bd30a97bb3a695475001de455ee1","observation_id":"db97048f-09b4-4d8b-9f48-90a2eacf4019","resolution":{"observed_at":"2026-07-03T12:28:07.159564Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.27105","snapshot_observed_at":"2026-07-12T07:39:35.969979Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource de- tection.arXiv preprint arXiv:2606.27105, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.02696","last_updated":"2026-07-02T18:38:23Z","snapshot_observed_at":"2026-07-12T07:39:27.801652Z","submitted_at":"2026-07-02T18:38:23Z","title":"Parametrized-circuit-free quantum regression with variance regularization","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-07-12T07:39:35.969979Z"},"links":{"cited_paper":"/paper/2606.27105","citing_paper":"/paper/2607.02696"},"observation_digest":"sha256:b0f953850dfe92a55d3929f97fe9b8b335bbbc99345e980055359565bcc6e97d","observation_id":"53f9ce0f-237d-4717-addd-ed5b8c5c6dd9","resolution":{"observed_at":"2026-07-12T07:39:35.969979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.27105","snapshot_observed_at":"2026-08-01T19:22:15.099525Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.17023","last_updated":"2026-07-19T01:22:27Z","snapshot_observed_at":"2026-08-06T16:24:57.930949Z","submitted_at":"2026-07-19T01:22:27Z","title":"Rigorous characterization of continuous-variable quantum states via optical parametric amplifiers","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-01T19:22:15.099525Z"},"links":{"cited_paper":"/paper/2606.27105","citing_paper":"/paper/2607.17023"},"observation_digest":"sha256:77686bf9c0c59361cc5e575e5c338be1b781fb1b52bc80f1155831687105c839","observation_id":"95e8f438-8525-4dcd-9b15-a7bcf3fa8e7c","resolution":{"observed_at":"2026-08-01T19:22:15.099525Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.27105","snapshot_observed_at":"2026-08-03T02:17:59.137302Z","title":"Witness expansion: A unified framework for analytical and measurable mixed- 7 state resource detection,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.29670","last_updated":"2026-07-31T17:53:24Z","snapshot_observed_at":"2026-08-06T07:24:48.028472Z","submitted_at":"2026-07-31T17:53:24Z","title":"Fermionic entropy: an efficiently measurable strong monotone for non-Gaussianity","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T02:17:59.137302Z"},"links":{"cited_paper":"/paper/2606.27105","citing_paper":"/paper/2607.29670"},"observation_digest":"sha256:f671af66cd4be7dbf643c0dbc5a99b7152c63fff8c0998d6786d12a52f8ee635","observation_id":"8b4b21ac-ba0a-4a65-b1a7-9959cd07c688","resolution":{"observed_at":"2026-08-03T02:17:59.137302Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2606.27105/citation-record","integrity":"/paper/2606.27105/integrity","json":"/paper/2606.27105/citation-record.json","paper":"/paper/2606.27105"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":"We reformulate Theorem 3 as the theorem below","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:1ee488f8d434612e2e1d2d54e2f94c56a3913d6d17c467151965ee543f79e096","observation_id":"76af8061-4a01-4339-a56d-996e40b8b1ef","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:8ea6273d1b8dd00dccc8f174117e8fc37c5fe24d691e6cd96134007fb0a7d583","observation_id":"3b548187-5d99-4c91-b6e0-065c0b25c047","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":"Dimensions of Specht and irreducible components, which appear in the fourth-order Clifford twirling formula","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:da6fe26e17acb00f79e79052243980c811e302caaf2ae2be72dbc9f5dce612df","observation_id":"7e5fd49f-4b7d-4066-8341-b51dbf83e667","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":"Character table of the symmetric groupS4","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:e71570a03c947d13458e9df24fa2dc3559a851f972fe368708890726f363be63","observation_id":"3f2d84bf-23c7-4673-a379-748fde34602b","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":"For the witness induced by the triangle criterion [89] W=T= I+X−Y+Z 1+ √ 3 ⊗∣0n−1⟩⟨0n−1∣, ̃W= ̃T=I−T,(E52) its spectrum is spec(̃T)={0,3− √ 3,1,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:58b3c6cecaecf9e521046bbce742abf09081db89055afb6e18b86d0e36ea836e","observation_id":"ae00d65c-db9e-470c-9c49-b105669b8f94","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:71aef79bc64ca84341808f9fbe2ea720652d646b09efa41d4d58519d9c721a4c","observation_id":"969d2c02-33b0-423f-90b3-6a93cb05a942","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":"Step 4: Evaluation of the fiveQ-sector invariants.We now substitute the above traces into Eq","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:139c5348f28e1fbe37c2f750c0b3e6901b18a25528cdb2ea5d69597087d08bcb","observation_id":"454a5745-cd21-4462-a530-40dbc7649b1f","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":"We first prove the existence of such a state and then calculate the coefficients introduced in Theorem 6 and Theorem 13","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:4989484be1af12c6fb069df9c83b58fdce73da22ea07ef57cf2eafb4103688b9","observation_id":"6fd8b62f-8444-4e64-af13-5aba8b9dfee2","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":"They become products of Pauli operators under Jordan-Wigner transformation","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:e835d7c44502673dcd840bbf18bc84d56b0902dee61be4df58bda9853a9f7994","observation_id":"90716b23-4d81-4666-b4f3-0e95af81a6a5","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:c9f3ceaba37c42c15dc43498c400b1ed3f90fad2c196b088c04547a9a7bd67df","observation_id":"ceb7de39-4278-40e2-9a0d-96eb9a0eccbe","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:630ebc8980c59775842e026c61e38bf7c3cf2cfe8a5a7998811abefac04d74c6","observation_id":"e03a82ae-7b9e-4eac-b102-91d7dc570958","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":"Then the set of free states is the convex hull ofG n,F=Conv(G n)⊆DF, also known as the convex Gaussian states [20]","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:e2bf7a39f92649cf4a623ada1aef0d4e932d78be4b7c8a94e595923021204fbb","observation_id":"a4bb8661-40b2-4848-b205-6e1721c5077c","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:9ddc01032f02122a0e0bd5cd8d23b6541c87ab17404897b447c528c03378ab7d","observation_id":"825d394e-2ae2-405b-96ac-5be43a001808","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:dde1b3c6e06b645aa6cc95850ec2c81e1f42bdf2e4517ac82b5d4ff6900d8af6","observation_id":"e1d4de92-ef96-468a-bd49-729b6cd0aadd","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":"In this caseν(A 1,A 2)≡∑a∈A1 a(mod 2),ν(A 2,A 3)=ν(A 3,A 1)=0","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:957fba0ecda6397183752c9807db1578d21381188bb9044a3d9c92457bc55428","observation_id":"7745487b-702b-4172-9e5f-42d694795936","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:47:49.271684Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-26T04:47:49.271684Z"},"links":{"citing_paper":"/paper/2606.27105"},"observation_digest":"sha256:eeb6cda76f190d677d1bf6b813c364a69db6674484a3fda699c6e5c4d66f6983","observation_id":"e80f708a-a573-412f-abac-e7fba6c65de0","resolution":{"observed_at":"2026-06-26T04:47:49.271684Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.27105","last_updated":"2026-06-25T14:43:38Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-07-07T00:01:20.448165Z","submitted_at":"2026-06-25T14:43:38Z","title":"Witness expansion: A unified framework for analytical and measurable mixed-state resource detection"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":16},"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":"2026-08-06T06:34:29.942622+00:00","source":"crossref"},{"observed_at":"2026-08-06T06:34:23.284952+00:00","source":"retraction_watch"}],"thesis":"As of 6 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 4 inbound Pith citation observations for arXiv:2606.27105."}