{"as_of":"2026-08-12T14:00:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e3717a31467e1e22e9d8ccec2c3874b607cc798ce106ff3e7104878cde7c27bd","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T04:04:08.850402Z","state":"measured"},{"denominator":24,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":24,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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":"2026-08-06T20:58:59.384229Z","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":"2026-08-06T20:59:01.461208Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"cited_work":{"arxiv_id":"2607.28616","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.28616","snapshot_observed_at":"2026-08-06T20:59:01.461208Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","venue":"math.CO","work_id":"aa3c9b36-fbe1-4f54-87d1-d4f66a70b784","year":2026},"citing_paper":{"arxiv_id":"2608.04615","last_updated":"2026-08-05T09:20:20Z","snapshot_observed_at":"2026-08-09T12:04:15.218850Z","submitted_at":"2026-08-05T09:20:20Z","title":"The $(t,p)$-Norm in Classical Extremal Problems","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T20:58:59.384229Z"},"links":{"cited_paper":"/paper/2607.28616","citing_paper":"/paper/2608.04615"},"observation_digest":"sha256:b34691bcf7ebee44589df5a3f23e80808d4caee2881663c46a59eb0637f7aaed","observation_id":"1884e12c-eb41-445e-9ec9-a0cc73bbd9fe","resolution":{"observed_at":"2026-08-06T20:59:01.514331Z","resolver_source":"local_arxiv","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/2607.28616/citation-record","integrity":"/paper/2607.28616/integrity","json":"/paper/2607.28616/citation-record.json","paper":"/paper/2607.28616"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T04:04:07.242470Z","title":"Ahlswede and L","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.242470Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:d04b28faef785698c6ed0a56bb745f8820a1473088022b84d67b937a559afff5","observation_id":"72e6674f-b909-4294-9d6d-6a8641b7527d","resolution":{"observed_at":"2026-08-04T04:04:07.242470Z","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":"2026-08-04T04:04:07.313316Z","title":"Balogh, F","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.313316Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:dcba7fea4768afdb476976f42a14b669c6b8afaf9efeb0675896cbd0ffd3670d","observation_id":"0a70c6ca-b3f5-48ab-bee7-eca7ec447c86","resolution":{"observed_at":"2026-08-04T04:04:07.313316Z","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":"2026-08-04T04:04:07.429987Z","title":"Balogh, F","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.429987Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:4a64251e053ad85c5db5792a7aee4e79e06c229b7b1070735b320e96ff08de87","observation_id":"1c0aa75f-8c91-46f0-bf86-15b66288129f","resolution":{"observed_at":"2026-08-04T04:04:07.429987Z","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":"2026-08-04T04:04:07.501678Z","title":"Bey,An upper bound on the sum of squares of degrees in a hypergraph, Discrete Math.269 (2003), 259–263","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.501678Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:39305a889faa9f04572d6e3cd225593a1cb19a14ef3f47b235b14ba74baafc0c","observation_id":"3385bc10-a80f-4fc9-b470-08d2e64b2641","resolution":{"observed_at":"2026-08-04T04:04:07.501678Z","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":"2026-08-04T04:04:07.573531Z","title":"Brooks and W","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.573531Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:5c21381c40413cbf67501798606f4b4aab4921cc378d67aa4c593390b4d4c446","observation_id":"b420d029-9c7a-4dde-8ab0-638fc0119727","resolution":{"observed_at":"2026-08-04T04:04:07.573531Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.15934","last_updated":"2024-06-22T20:35:41Z","snapshot_observed_at":"2026-08-10T04:18:23.906778Z","submitted_at":"2024-06-22T20:35:41Z","title":"Nondegenerate Tur\\'{a}n problems under $(t,p)$-norms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.15934","snapshot_observed_at":"2026-08-04T04:04:07.623206Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.623206Z"},"links":{"cited_paper":"/paper/2406.15934","citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:01aca3bcb5b09ced6670c55417997efe97a85621238a47a12a7567cb94fb3704","observation_id":"c1ed50fc-d44e-4b5c-9abd-dd05f5cb98d9","resolution":{"observed_at":"2026-08-04T04:04:07.623206Z","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":"2026-08-04T04:04:07.685026Z","title":"de Boor,Divided differences, Surveys Approx","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.685026Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:96b2b0366714be329c325dee2268be477538cfedbd5b9dacaf953d9e359ad8f6","observation_id":"6332bde3-3236-455c-8463-34d6db43b091","resolution":{"observed_at":"2026-08-04T04:04:07.685026Z","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":"2026-08-04T04:04:07.747690Z","title":"Erd˝ os, C","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.747690Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:c2bd1cb55e437a45e2e780c5027c46d6046e87a7f413936410b495732f1f4783","observation_id":"dd5d11cd-25cd-41b4-b487-1918d802bffc","resolution":{"observed_at":"2026-08-04T04:04:07.747690Z","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":"2026-08-04T04:04:07.810351Z","title":"Filmus,The weighted complete intersection theorem, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.810351Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:c3d09e061f7eba9461a3896bf718cd3142863b23ae95d6a03ea6026064690de7","observation_id":"73c323c5-24dc-4a8b-ae6a-6f95f1389071","resolution":{"observed_at":"2026-08-04T04:04:07.810351Z","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":"2026-08-04T04:04:07.914779Z","title":"Frankl,Improved bounds for Erd˝ os’ matching conjecture, J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.914779Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:85991ddaf5662200abf929247104ea018b553b6139b40831ab65e085ffb476f2","observation_id":"24bfd33f-dcf5-483d-92cb-246c38e8d4ab","resolution":{"observed_at":"2026-08-04T04:04:07.914779Z","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":"2026-08-04T04:04:07.987305Z","title":"Frankl and N","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:07.987305Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:80647a634a8d9c758c667f18d24af75f893fceb9b25c55ed0c12a7b321cad819","observation_id":"31e8902e-09d9-436e-a457-5abd577cfd5c","resolution":{"observed_at":"2026-08-04T04:04:07.987305Z","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":"2026-08-04T04:04:08.049424Z","title":"Frankl and N","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.049424Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:7d068d1f59ae22adf8d75f0c6cfe011c1fe8a3a6e6d5c1a27d38beba95b9d16e","observation_id":"6bf32225-3895-43d8-a475-c8e6b6ff7ad3","resolution":{"observed_at":"2026-08-04T04:04:08.049424Z","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":"2026-08-04T04:04:08.119435Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.119435Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:6c7418ebcde8436903b77edb747303c1857e1aad125b1220898efd918975042f","observation_id":"31326998-e773-4682-bc5b-4104ddfb0ec5","resolution":{"observed_at":"2026-08-04T04:04:08.119435Z","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":"2026-08-04T04:04:08.179018Z","title":"Godsil and K","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.179018Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:7336c7c1a2f7c7d61db51c41e15ab468884aead8e719f87fd20fa43b829895a7","observation_id":"55adc54a-8486-4c6e-b320-b04e5971f9a4","resolution":{"observed_at":"2026-08-04T04:04:08.179018Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.16730","last_updated":"2024-02-26T16:52:25Z","snapshot_observed_at":"2026-08-09T21:44:44.869167Z","submitted_at":"2024-02-26T16:52:25Z","title":"The maximum sum of the size of all intersections within intersecting families and crossing-intersecting families","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.16730","snapshot_observed_at":"2026-08-04T04:04:08.249569Z","title":"Huang,The maximum sum of the size of all intersections within intersecting families and crossing-intersecting families, arXiv:2402.16730, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.249569Z"},"links":{"cited_paper":"/paper/2402.16730","citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:53934275ac2f73c7e3d6bee2ce7509a3a98a4740020376d427f8c547e6ad67f7","observation_id":"5ef531d4-93cb-4afd-a76f-71523d98ed0c","resolution":{"observed_at":"2026-08-04T04:04:08.249569Z","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":"2026-08-04T04:04:08.319019Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.319019Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:2c68d8b80ae76d74f22200ff98df4b452770adbcd78d71c464afc8fc7e0d5f55","observation_id":"53a1ae73-bdd1-4708-9dd1-880afbf3df80","resolution":{"observed_at":"2026-08-04T04:04:08.319019Z","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":"2026-08-04T04:04:08.427559Z","title":"Karlin and W","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.427559Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:ae77d11111bf5eb663855fb3d0402114c873e32b3fd89672675058d4e84c7b36","observation_id":"569b80ac-66b3-434f-b5b8-fe149489a6c6","resolution":{"observed_at":"2026-08-04T04:04:08.427559Z","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":"2026-08-04T04:04:08.499688Z","title":"Shaked and J","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.499688Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:1216a33d2415d71cb0782380629029e03ebca794452d224cdfa659b3f4a16720","observation_id":"3e261512-4c33-4dec-ade0-72937330dcb9","resolution":{"observed_at":"2026-08-04T04:04:08.499688Z","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":"2026-08-04T04:04:08.568964Z","title":"Wang and Y","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.568964Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:edffe77b92c561c2cdf86daa047435bc50aa38a126b33a450299b8ad1ddc5319","observation_id":"f5a03108-d619-4349-8701-847880c351bb","resolution":{"observed_at":"2026-08-04T04:04:08.568964Z","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":"2026-08-04T04:04:08.660863Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.660863Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:78595c3eba4614b046e2e9036ad58291bb476001703bbb8d8f228c61fd48c55b","observation_id":"e8bb3964-aa36-4bc2-bc2e-b0252914fa73","resolution":{"observed_at":"2026-08-04T04:04:08.660863Z","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":"2026-08-04T04:04:08.720382Z","title":"Wu and H","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.720382Z"},"links":{"citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:3229bdd4d90b55c3979dd948058eeb0371722d93a8af31d61183bc823d8a6f14","observation_id":"6719a032-f789-49f3-8668-a2d3fdd61813","resolution":{"observed_at":"2026-08-04T04:04:08.720382Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.21855","last_updated":"2026-04-23T16:51:09Z","snapshot_observed_at":"2026-07-06T23:08:23.939574Z","submitted_at":"2026-04-23T16:51:09Z","title":"Counting sunflowers with restricted matching number","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.21855","snapshot_observed_at":"2026-08-04T04:04:08.788760Z","title":"Zhang, M","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.788760Z"},"links":{"cited_paper":"/paper/2604.21855","citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:ed4b5c417922543417e7f401669d3d1176cf4e531773a3ad2c5697931aba3450","observation_id":"9e5b9b97-3111-4e13-b4bd-2de13d125693","resolution":{"observed_at":"2026-08-04T04:04:08.788760Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.19183","last_updated":"2026-05-06T16:40:38Z","snapshot_observed_at":"2026-08-05T15:54:51.439180Z","submitted_at":"2026-04-21T07:49:15Z","title":"Counting sunflowers in hypergraphs with bounded matching number and Erd\\H{o}s Matching Conjecture in the $(t,k)$-norm","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.19183","snapshot_observed_at":"2026-08-04T04:04:08.850402Z","title":"Zhou and X","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T04:04:08.850402Z"},"links":{"cited_paper":"/paper/2604.19183","citing_paper":"/paper/2607.28616"},"observation_digest":"sha256:afcaa4b60027a8ed362855403b0c31763937af5c8238dc4aa3c0440ff907f070","observation_id":"c2af50b2-cd3b-482d-a076-18c2757c9eb5","resolution":{"observed_at":"2026-08-04T04:04:08.850402Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.28616","last_updated":"2026-08-02T09:39:47Z","latest_version":2,"primary_category":"math.CO","snapshot_observed_at":"2026-08-09T12:04:13.613260Z","submitted_at":"2026-07-30T17:58:44Z","title":"Convex Transference for Degree Powers in Extremal Set Systems"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":23,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":23},"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 12 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2607.28616."}