{"as_of":"2026-08-15T10:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:83344c19d9f9e375671832b67f4e869dfc2011c858c2d9ad2112d644b11c80a1","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T22:04:28.480823Z","state":"measured"},{"denominator":28,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":28,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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":"2026-08-14T04:33:31.057654Z","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":"2026-08-14T04:33:32.009761Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"cited_work":{"arxiv_id":"2607.15947","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.15947","snapshot_observed_at":"2026-08-14T04:33:32.009761Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","venue":"quant-ph","work_id":"433dc544-cd4e-4d06-8869-f92fd11888e1","year":2026},"citing_paper":{"arxiv_id":"2608.13551","last_updated":"2026-08-13T17:59:28Z","snapshot_observed_at":"2026-08-15T10:16:29.184261Z","submitted_at":"2026-08-13T17:59:28Z","title":"Every PPT channel has finite entanglement-breaking index","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-14T04:33:31.057654Z"},"links":{"cited_paper":"/paper/2607.15947","citing_paper":"/paper/2608.13551"},"observation_digest":"sha256:57b00a0e49f6511d3aadba2e4ca5392ef5d3561f30b4a46ba540249ddd102be0","observation_id":"251971c5-ac3f-4aa2-8de4-9ae6b61abb79","resolution":{"observed_at":"2026-08-14T04:33:32.016623Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2607.15947/citation-record","integrity":"/paper/2607.15947/integrity","json":"/paper/2607.15947/citation-record.json","paper":"/paper/2607.15947"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T22:04:24.921828Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:24.921828Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:a9b9d727eda200537f7f7674b1a30200e35bae2480769b94d75b56d8a310f73c","observation_id":"7bfd2323-c74e-47b4-bd26-50d353581a6c","resolution":{"observed_at":"2026-08-01T22:04:24.921828Z","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":"2026-08-01T22:04:25.053156Z","title":"Briegel, W","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:25.053156Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:a277cc201f96c390938eb9644d4314b838561d69d1bc6bbf7773f9440b6a3a5c","observation_id":"faf2872c-b641-42ed-a163-d2cba9c6c521","resolution":{"observed_at":"2026-08-01T22:04:25.053156Z","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":"2026-08-01T22:04:25.241437Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:25.241437Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:c6c72be5636f6e206c78208fe84ee092eb84ef7158732363dee3002ceed27916","observation_id":"eea61a81-7939-4918-b937-1f6a9b813049","resolution":{"observed_at":"2026-08-01T22:04:25.241437Z","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":"2026-08-01T22:04:25.377567Z","title":"˙Zukowski, A","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:25.377567Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:14eecea1a68b082a3a84da9860e7de5a8fc4e6f25aa16179f6f3ad68f3a6f2a1","observation_id":"6856f8f5-56ce-45bb-9cd6-b74b58a7cb75","resolution":{"observed_at":"2026-08-01T22:04:25.377567Z","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":"2026-08-01T22:04:25.498512Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:25.498512Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:55eed552d7eee53f65d5979fe00e88da6e34f664f934d1d93aad194e7fdcff2c","observation_id":"4713230a-4d4a-4c99-8285-83d37cbdd0b3","resolution":{"observed_at":"2026-08-01T22:04:25.498512Z","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":"2026-08-01T22:04:25.615420Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:25.615420Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:94c47a658e9aab38dd5afa641de421d64f64d53f16f13d51211b20a100893803","observation_id":"caa1c042-7bf2-4b0a-b8a8-98d378e6f4ff","resolution":{"observed_at":"2026-08-01T22:04:25.615420Z","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":"2026-08-01T22:04:25.810193Z","title":"Deutsch, A","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:25.810193Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:c997c0714b94803fa9f6adf3465f0ad423e9d33e6e287b903af00385ec8717fb","observation_id":"81d3c3b8-1470-461a-8f0a-cca8cce82a9a","resolution":{"observed_at":"2026-08-01T22:04:25.810193Z","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":"2026-08-01T22:04:25.950866Z","title":"Peres, Phys","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:25.950866Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:18d79dcab655f31e39d233e9d9320023b7f550e6f6efab95256dc646433385e8","observation_id":"fed34fc6-db19-416e-b7ea-61c774263906","resolution":{"observed_at":"2026-08-01T22:04:25.950866Z","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":"2026-08-01T22:04:26.101179Z","title":"Horodecki, P","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:26.101179Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:212530de2a87e6a843e3d4e887c2d087f293d86e24681ae0af281fa5e2e1bd39","observation_id":"44168d13-0efc-40ea-85a8-e92f1bc1191d","resolution":{"observed_at":"2026-08-01T22:04:26.101179Z","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":"2026-08-01T22:04:26.246364Z","title":"Horodecki, M","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:26.246364Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:3710adc8ca9ebd2d826aaea24d1627bd2862da23274a92c09cf4d6b4734f36d8","observation_id":"6ad90c2c-28a0-4278-99cb-a1aefeddcd27","resolution":{"observed_at":"2026-08-01T22:04:26.246364Z","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":"2026-08-01T22:04:26.403604Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:26.403604Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:263d7ceac9325cab46733e574e366506630c689ef0dc8d7ccaaec20bbd9802da","observation_id":"3d6b1eee-ca6b-48ab-a702-a45979cb6b23","resolution":{"observed_at":"2026-08-01T22:04:26.403604Z","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":"2026-08-01T22:04:26.543812Z","title":"Horodecki, P","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:26.543812Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:551c6694f218bcd4ff771b6b99bcc30a297fd731f278cbdb1c120e77c57bdf23","observation_id":"ed429020-4147-4dc2-b902-78d9cc8b77d2","resolution":{"observed_at":"2026-08-01T22:04:26.543812Z","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":"2026-08-01T22:04:26.694180Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:26.694180Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:8f04a7c42b5b8e320926bc9f41a42c3be02219d3b81cf379e531561ed1c69bd7","observation_id":"487aef8b-6371-4e62-bacb-a5846d9112e1","resolution":{"observed_at":"2026-08-01T22:04:26.694180Z","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":"2026-08-01T22:04:26.819664Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:26.819664Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:08537fa58525a3f09dbee31efc9c88f328152086c665e2094d97e0b05a93987c","observation_id":"ebd61e01-c3ed-4871-b328-b9ea8f15a0f9","resolution":{"observed_at":"2026-08-01T22:04:26.819664Z","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":"2026-08-01T22:04:26.953007Z","title":"Christandl,PPT square conjecture, BanffInternational Re- search Station workshop, Operator Structures in Quantum In- formation Theory (2012)","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:26.953007Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:9ff849e048d3dfc33ef0dbcfebdcb930b403ddf5ed452943f6e6fc5c3087d53f","observation_id":"bf3809dc-5b5c-4c4b-b853-f9458c6748bd","resolution":{"observed_at":"2026-08-01T22:04:26.953007Z","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":"2026-08-01T22:04:27.097814Z","title":"Christandl, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:27.097814Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:ff67d033b06660c32ec3d4e3c46aa9453f6f80f4246c023d84a81b00a65d82e4","observation_id":"fa75e7d7-b040-410e-a6a8-f9d8900a8b5b","resolution":{"observed_at":"2026-08-01T22:04:27.097814Z","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":"2026-08-01T22:04:27.237707Z","title":"Choi, Linear Algebra Appl.10, 285 (1975)","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:27.237707Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:5c4e688e7d9a4fa54c43aa5b6d69a8333ab4bc30dbd56482756affba44c8c0ac","observation_id":"b1636df4-8bf6-451f-b4e5-c0d2b7ed9000","resolution":{"observed_at":"2026-08-01T22:04:27.237707Z","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":"2026-08-01T22:04:27.377462Z","title":"Jamiołkowski, Rep","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:27.377462Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:355fe36bbaeda0a517de3821024d19643ae1d769b6fe7204c8c4a9da0f128001","observation_id":"df1c39ce-4cb2-42d1-bd0c-922c67bab687","resolution":{"observed_at":"2026-08-01T22:04:27.377462Z","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":"2026-08-01T22:04:27.541574Z","title":"Horodecki, P","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:27.541574Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:d3e2cf7817678f87dd1ce7e5e8a79c70b792a5de1a412d4183655f6b566b0331","observation_id":"ef519d08-3dc3-40b3-8733-15d6b77211e5","resolution":{"observed_at":"2026-08-01T22:04:27.541574Z","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":"2026-08-01T22:04:27.646137Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:27.646137Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:103ca5af58907746f885af916453607942987e8b6d0049fccf0b17cee4aa6bc3","observation_id":"875eba40-94b4-48de-87e1-5ebc81ae0922","resolution":{"observed_at":"2026-08-01T22:04:27.646137Z","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":"2026-08-01T22:04:27.764383Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:27.764383Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:d6c28d57e4d6e806e55217bd49cff327c14b1150e182fce31863fa70ba1b8d90","observation_id":"a96f4b10-3569-4d9e-bc94-8bbbf426fc6f","resolution":{"observed_at":"2026-08-01T22:04:27.764383Z","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":"2026-08-01T22:04:27.928158Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:27.928158Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:2ea0ba415c0bec377b741357db29342c08f36dda7addc38bdbf9851a4361c999","observation_id":"dfe205e5-c471-4783-9db3-2cbd2ed9a15b","resolution":{"observed_at":"2026-08-01T22:04:27.928158Z","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":"2026-08-01T22:04:28.042675Z","title":"Horodecki and P","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:28.042675Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:9d723e2993c4142b012ef3bfa4b4739d73fdad0b7d401f5abbf2ef32a99e178a","observation_id":"f01c15a6-1828-41cc-ac1c-9863ab73ecb8","resolution":{"observed_at":"2026-08-01T22:04:28.042675Z","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":"2026-08-01T22:04:28.148693Z","title":"Lami and V","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:28.148693Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:38f74f21979329b3613b57777ded6f0c34fcded143f18c4381362b3ecc10f2fc","observation_id":"8e9ed3f9-2fd1-496d-91dc-f31856dcedea","resolution":{"observed_at":"2026-08-01T22:04:28.148693Z","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":"2026-08-01T22:04:28.266929Z","title":"Rahaman, S","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:28.266929Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:36595694394f68158408fb42d2c1743a8843046e9a07718d4711bec466c15dad","observation_id":"ef86e6bf-fe01-456b-af64-1a9d5c13eace","resolution":{"observed_at":"2026-08-01T22:04:28.266929Z","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":"2026-08-01T22:04:28.384966Z","title":"Skowronek, E","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:28.384966Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:d5d01a39117ef9384e012dff2de15c5f134255b14251430788181228e6454542","observation_id":"e2fa5167-e9e9-40e9-81d7-64a9ae4df6e2","resolution":{"observed_at":"2026-08-01T22:04:28.384966Z","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":"2026-08-01T22:04:28.480823Z","title":"m00 m01 m10 m11 #! =  m00 + 1 2m11 1√ 2m01 1√ 2m10 1 2m11  and Ψ","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-01T22:04:28.480823Z"},"links":{"citing_paper":"/paper/2607.15947"},"observation_digest":"sha256:52d626c64cf042ebe9eb725bbd819f9739eeb75331a4ca6924bc55c8f7c769bb","observation_id":"28909ddc-e24e-4025-8e41-5b5bddac324d","resolution":{"observed_at":"2026-08-01T22:04:28.480823Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.15947","last_updated":"2026-07-17T13:32:14Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-08T01:44:46.017483Z","submitted_at":"2026-07-17T13:32:14Z","title":"Beyond the Positive Partial Transpose Squared Conjecture: The Qutrit Case"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":27,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":27},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2607.15947."}