{"as_of":"2026-08-16T13:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b12e127eb215cde573d824bcd1c88d583cf1fd362581858aed40d4e4d80ddc65","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T18:16:09.892161Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T17:47:47.440499Z","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":"2026-08-15T16:20:17.805869Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2508.15113","snapshot_observed_at":"2026-08-15T17:47:47.440499Z","title":"Kanade and M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.02664","last_updated":"2026-06-29T08:04:53Z","snapshot_observed_at":"2026-08-15T17:34:36.560269Z","submitted_at":"2025-08-04T17:52:36Z","title":"$A_1^{(1)}$-Grounded partitions at levels $1$ and $2$, Part I: bijections","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T17:47:47.440499Z"},"links":{"cited_paper":"/paper/2508.15113","citing_paper":"/paper/2508.02664"},"observation_digest":"sha256:945f973f3a56fe823068341d8d451a7cd01c65d810aca861acc916cb92be949d","observation_id":"3ce7f2db-cad6-407b-b64f-e928c50f42d7","resolution":{"observed_at":"2026-08-15T17:47:47.440499Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"cited_work":{"arxiv_id":"2508.15113","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.15113","snapshot_observed_at":"2026-08-15T16:20:17.805869Z","title":"Tight cylindric partitions","venue":"math.CO","work_id":"5912c1c7-d05f-408a-85da-37c00ca6f0c2","year":2025},"citing_paper":{"arxiv_id":"2509.07169","last_updated":"2025-09-08T19:34:45Z","snapshot_observed_at":"2026-08-15T16:10:40.844618Z","submitted_at":"2025-09-08T19:34:45Z","title":"On a pair of three-colored (mod 10) partition identities","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T16:20:17.709413Z"},"links":{"cited_paper":"/paper/2508.15113","citing_paper":"/paper/2509.07169"},"observation_digest":"sha256:7c2bc229b01e26f77991106e3bf4288023a16fb4b4e775a39fa0279125b5592c","observation_id":"ef8ee0b3-e8d2-4558-bd36-98b6cda74c7c","resolution":{"observed_at":"2026-08-15T16:20:17.809990Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2508.15113/citation-record","integrity":"/paper/2508.15113/integrity","json":"/paper/2508.15113/citation-record.json","paper":"/paper/2508.15113"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.079168Z","title":null,"venue":null,"work_id":"cd8bcc64-15dc-4424-b703-3d8cb5ef710f","year":2010},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.834924Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:7fda3bcfafacadf73215c007f5e1add5a13ea133ab100fa2d7d610c62271d0d9","observation_id":"f510e9e9-9755-4681-abb0-34b75d930f1f","resolution":{"observed_at":"2026-08-05T18:16:10.082246Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.071636Z","title":null,"venue":null,"work_id":"a33dc8c8-f3ea-49ed-a94a-4816035a9c2f","year":2007},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.838540Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:01c34e97b6a120391994870da617c9f34b7435c7ba0a0f5c91ae7761639e827a","observation_id":"962ce0e2-a150-4000-bde4-30f3e46f0e80","resolution":{"observed_at":"2026-08-05T18:16:10.074267Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.064157Z","title":"Chern, Z","venue":null,"work_id":"5ddebfc3-3be5-4bd4-955c-38b67d70055f","year":2024},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.841339Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:36b6e7e54745aeca58184da7194b017be446e1ddfc9e86fb98415189862a1750","observation_id":"325b31e1-ca5b-4d1f-9a32-19a3ae5425b7","resolution":{"observed_at":"2026-08-05T18:16:10.066692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.056926Z","title":"Corteel, J","venue":null,"work_id":"c694f387-c094-483f-9aa4-a69b48bc6c21","year":2022},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.844090Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:2e83096ef074d783b5a1c6bdb1c8306d84730f640833bee7f235631affb843a3","observation_id":"d9b22eb1-610c-4fbe-a072-39db36788b66","resolution":{"observed_at":"2026-08-05T18:16:10.059289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.049021Z","title":"Corteel and T","venue":null,"work_id":"1c925d78-0aeb-45af-9db8-77c03acd5957","year":2019},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.847050Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:0173523fa193138ad516de99db5dba17f57e37586c406fb81f4133d117ac07d9","observation_id":"e6d17fa9-2e62-45ce-8371-fc3b993469c7","resolution":{"observed_at":"2026-08-05T18:16:10.052118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.041482Z","title":null,"venue":null,"work_id":"635f777b-94d5-48a5-b475-43f428020ccf","year":1989},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.850187Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:9f1c666a8d8979dc8af5f7c486789e2f3fbb6a8912e1f7a764edd4dbd4cf07b8","observation_id":"08652c47-4315-4e86-a689-340f8cb61021","resolution":{"observed_at":"2026-08-05T18:16:10.044233Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.034373Z","title":"Dousse, L","venue":null,"work_id":"aa7140d9-3c92-4c2c-87cb-f680c34c99b9","year":2025},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.853162Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:92100e1be74348551733114c2e4b4d5df8f3204dec92937befa47c1f428fb48f","observation_id":"f7ee34b9-057c-48d8-922b-386bc06172b2","resolution":{"observed_at":"2026-08-05T18:16:10.036816Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.026599Z","title":null,"venue":null,"work_id":"a0cd2fa2-cf18-4b94-8600-724551ccd5e5","year":1999},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.855715Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:57259ebd5e309325339590ac1d99d963b01fb9b38a14f4114b43f2971ed968ca","observation_id":"7c704df1-7c38-4cda-95db-ca5a0db7ea5c","resolution":{"observed_at":"2026-08-05T18:16:10.029012Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.019021Z","title":"Foda and T","venue":null,"work_id":"37ca192f-be55-4ba4-8429-04825a1bc202","year":2016},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.858226Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:4348ca6bc35808a8812a72bef4a57d1f0192ad7cef91cf3c2f9bdf66e74b5241","observation_id":"e07a3823-bc7a-4051-97d0-d8b82b11e2b5","resolution":{"observed_at":"2026-08-05T18:16:10.021526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.011333Z","title":null,"venue":null,"work_id":"5e705181-b344-4fce-aefc-ef17c27d3b55","year":1997},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.860807Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:4c0712aea4e77869923e7b5408cb0881e20b8053590c0e127ad2585eea6ef2f4","observation_id":"9e5fff5f-5b8f-449e-92fc-0a72ecc1b3a7","resolution":{"observed_at":"2026-08-05T18:16:10.014160Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:10.003446Z","title":"Jimbo, K","venue":null,"work_id":"1f9265ed-63c9-40fc-92d8-1e64aea0a22d","year":1991},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.863362Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:2aa4d46926ce099bc842c178c92a727aff5b55b4595d0f542e8f6ec76985f46a","observation_id":"d21ba093-161b-4394-962c-ba6c28d83c6d","resolution":{"observed_at":"2026-08-05T18:16:10.005994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:09.995903Z","title":"Kanade and M","venue":null,"work_id":"06f3ab9a-c29d-450c-a5ee-d14dfcc93228","year":2023},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.866133Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:9588336b4f13bf0ec401da3f8bf215ebf3f30a55d49f9110d19f13b3f191b99c","observation_id":"dd9cbc7c-8ae0-4a9a-825d-7f7696406645","resolution":{"observed_at":"2026-08-05T18:16:09.998412Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:09.987036Z","title":"Kim and A","venue":null,"work_id":"3e84399f-79d4-4e52-bccd-e29bbf3e711b","year":2013},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.868902Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:976de973618676f1c6e4b6fb4bff1be4fdf2adeffb765772e48fb05d0c29f0e2","observation_id":"8a1f33aa-8588-42bb-a594-a2661c0dd4b8","resolution":{"observed_at":"2026-08-05T18:16:09.989951Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:09.978345Z","title":"Kur¸ sung¨ oz","venue":null,"work_id":"e464defc-4961-4bbc-94ff-f1a99ff5881b","year":2010},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.871447Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:1fa62794928ecf1a95192739708ecb1b614e60a4ca7e62c16e44cf0333226fc4","observation_id":"a4f113ad-a7d5-477a-9710-28475dfe3012","resolution":{"observed_at":"2026-08-05T18:16:09.980940Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:09.969208Z","title":"Kur¸ sung¨ oz and H.¨Omr¨ uuzun Seyrek","venue":null,"work_id":"679ee3b5-0cda-473f-a141-e1d8b78143bd","year":2025},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.874142Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:81d0373408459ffd964c5dc5b21af300171747c740717e9319d3968b33c98b7a","observation_id":"0a7c3564-b4d2-49a0-8a94-e6855bc809b7","resolution":{"observed_at":"2026-08-05T18:16:09.972153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:09.958777Z","title":"Lepowsky","venue":null,"work_id":"6f77a6e9-b4ff-4e0f-b711-313c5acef82e","year":1980},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.877690Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:69caa7b7a14397d074165b703c48648240c8170a1766409982be98f297014174","observation_id":"0e43abb9-d943-4073-8ba0-af5a448f2e55","resolution":{"observed_at":"2026-08-05T18:16:09.962401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:09.949752Z","title":"Mc Laughlin, A","venue":null,"work_id":"e85168de-a439-4475-b90a-800388cc9dae","year":2008},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.880512Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:905035fbec2a708ded25a13b4d596f5788fdf5c20c9e0509c460591ead2e93c7","observation_id":"78ad62f0-df49-4553-a9b9-1142ccef87e2","resolution":{"observed_at":"2026-08-05T18:16:09.952826Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:09.941175Z","title":null,"venue":null,"work_id":"03ab5997-f73b-4c77-a58a-385a562725ad","year":1990},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.883727Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:4043b6a5f79251c8606ffa358308b03eb72e82cff51f4c335af60f862a274927","observation_id":"d83678f8-36f8-4878-85d0-3a08f2e0c081","resolution":{"observed_at":"2026-08-05T18:16:09.943842Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:09.933109Z","title":null,"venue":null,"work_id":"3ce7458b-12db-4275-8f64-daaa01fceee0","year":2008},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.886900Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:173afdf6787b4cf8a645c0a366f664a46f3e9a040996339b1ed86b270d48daae","observation_id":"dcddc895-b064-4aec-a8f2-be8d7a4264a9","resolution":{"observed_at":"2026-08-05T18:16:09.935713Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:09.924769Z","title":"Tsuchioka","venue":null,"work_id":"473a8063-fe15-4e57-bb0f-04f55ed0494e","year":2023},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.889498Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:94c38970800155521d637a32a620b27c8e8b0b7885197506cade2a2c7ad24014","observation_id":"4b380e9d-5ec6-4113-9727-63563e002cfa","resolution":{"observed_at":"2026-08-05T18:16:09.927385Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:16:09.915009Z","title":null,"venue":null,"work_id":"53919dd1-df8b-4609-ae6c-aeeb5e1a90f3","year":2023},"citing_paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T18:16:09.892161Z"},"links":{"citing_paper":"/paper/2508.15113"},"observation_digest":"sha256:7e87deeadb358f7134ae8fb4375f6a5762be9b9d7a752dcef4e0f11e56740e5e","observation_id":"712a9f8c-283d-4a5c-8114-84e0ff4540b1","resolution":{"observed_at":"2026-08-05T18:16:09.918829Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.15113","last_updated":"2025-08-20T23:02:08Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-13T13:11:02.204940Z","submitted_at":"2025-08-20T23:02:08Z","title":"Tight cylindric partitions"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":13},"total_outbound_references":21},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:2508.15113."}