{"as_of":"2026-08-08T20:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bbe2f55865c38ca26c834c1e11803ff9192abe8958203e9a08001231a10da607","coverage":[{"denominator":41,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":41,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T09:43:14.472032Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.29305/citation-record","integrity":"/paper/2607.29305/integrity","json":"/paper/2607.29305/citation-record.json","paper":"/paper/2607.29305"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T09:43:10.611071Z","title":"Atkinson and W","venue":null,"work_id":null,"year":2044},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:10.611071Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:321067d90a3d79251c454c31c56833dc2d71ae6f2177523bedf2e570307d2a15","observation_id":"b1cd8a2f-0de9-48e0-8d8a-7e6b8528750b","resolution":{"observed_at":"2026-08-03T09:43:10.611071Z","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":"2026-08-03T09:43:10.753566Z","title":"Dahne, J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:10.753566Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:9b429b2cfab2b9cac339bc21ee12c6cd4e5e81d9688ac780bd40be07843c4d3a","observation_id":"7a642bbd-d828-49f8-af33-c7184243da6e","resolution":{"observed_at":"2026-08-03T09:43:10.753566Z","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":"2026-08-03T09:43:10.897314Z","title":"Dahne, J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:10.897314Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:81023e89547fb5ea9ede8423d800c2e6091aac9bbed27aceff7541f697579e9a","observation_id":"f3d67b8f-1b8b-4658-940c-e90a9269714b","resolution":{"observed_at":"2026-08-03T09:43:10.897314Z","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":"10.1137/20m1326520","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Dahne and B","venue":"SIAM Journal on Scientific Computing","work_id":"c5a27427-ab2d-4c9a-8d38-1135236d4b88","year":2020},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.035469Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:b836b0bd4fe8bc2fd0965298d77a471e01f7e5ccb1ecd03466884733c3327ad9","observation_id":"28b6bccd-aa6e-4034-b752-05046043a35f","resolution":{"observed_at":"2026-08-03T09:43:28.010085Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T09:43:11.180907Z","title":"Release 1.1.1 of 2021- 03-15","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.180907Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:4741692bf7b317357150409c9ac844f79de24de9f4bb25953ff3c1c0211aab55","observation_id":"49deb55e-e11a-459e-b9ad-dbadd6b99d62","resolution":{"observed_at":"2026-08-03T09:43:11.180907Z","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":"2026-08-03T09:43:11.295787Z","title":"Filonov, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.295787Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:d0cd68bd3b1e63433309d73e1ff3aa1a003682442c3efc53240cd8e13b20096f","observation_id":"1270843b-9d71-44f9-820f-3eb371db793f","resolution":{"observed_at":"2026-08-03T09:43:11.295787Z","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":"10.4171/jst/506","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Filonov, M","venue":"Journal of Spectral Theory","work_id":"276791b8-1534-43f1-8b04-fd22e9463216","year":2024},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.374405Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:ec4c92399d2b4601e5b5c67ae16640673d3056985f6f750e59b21b5b8c5855de","observation_id":"34aa11f6-a106-4a80-a794-432c5be4a819","resolution":{"observed_at":"2026-08-03T09:43:27.868016Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T09:43:11.487909Z","title":"Filonov, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.487909Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:f79e9ccab44ddca180d6473b5cc574a322e07d6e78354528d64664df5d692deb","observation_id":"baaa82a4-07a4-4ace-99c8-4e8f30915dc5","resolution":{"observed_at":"2026-08-03T09:43:11.487909Z","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":"2026-08-03T09:43:11.561135Z","title":"Filonov, M","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.561135Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:c8dd619d02fce66979a17882581578cb1d2cca5daa945f47394afeb6efc4298f","observation_id":"5068522b-63f3-4c82-9b9f-e9c739b515a9","resolution":{"observed_at":"2026-08-03T09:43:11.561135Z","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":"10.1063/5.0161050","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Freitas and I","venue":"Journal of Mathematical Physics","work_id":"882a244d-973a-4e89-b12b-588fd4a27543","year":2023},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.667891Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:7d73436d0df6e9d6e83b1de0f9672d6cdef79ef80e8cd5f8d527b0e8039ce512","observation_id":"8972b950-f710-409b-8218-3a0bad1865d3","resolution":{"observed_at":"2026-08-03T09:43:27.721003Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11425-025-2522-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Science China Mathematics","work_id":"93570611-3133-435f-bbd1-fde344af59a1","year":2026},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.743685Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:41eb6fe649071a0ed2395f70a37bf8f2ac18591c55cef68bcb2f3d37efaa50b5","observation_id":"4ee0e98b-686f-4b51-a905-0d0627e33d73","resolution":{"observed_at":"2026-08-03T09:43:27.488452Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T09:43:11.820928Z","title":"G\\'omez-Serrano, Computer-assisted proofs in PDE: a survey","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.820928Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:969d829527ea0217ae7ee7dd5bb8eb09e89fdc54a2ef6e66fb248c2d0fb101af","observation_id":"892e511c-b09b-41ce-9e0a-ba350b6339f0","resolution":{"observed_at":"2026-08-03T09:43:11.820928Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14059","last_updated":"2024-12-18T17:07:22Z","snapshot_observed_at":"2026-07-06T20:09:24.415233Z","submitted_at":"2024-12-18T17:07:22Z","title":"Bessel functions and Weyl's law for balls and spherical shells","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.14059","snapshot_observed_at":"2026-08-03T09:43:11.897341Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.897341Z"},"links":{"cited_paper":"/paper/2412.14059","citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:eb06ae1e8224ddc1207e6b2d5091aaa63138d3cc1033e0578869c6a18cae0da7","observation_id":"611074a1-2e2e-4b06-94d7-c64f643808ac","resolution":{"observed_at":"2026-08-03T09:43:11.897341Z","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":"2026-08-03T09:43:11.974192Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:11.974192Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:7943086f007e561e5b0672c172eda2a045a73f2cccdea0cfe6cea642c2588e1a","observation_id":"d08f4f35-efc8-409d-b055-8c1f4473bc69","resolution":{"observed_at":"2026-08-03T09:43:11.974192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.12093","last_updated":"2025-07-09T01:39:08Z","snapshot_observed_at":"2026-07-06T17:32:10.828230Z","submitted_at":"2024-02-19T12:16:15Z","title":"P\\'olya's conjecture for thin products","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.12093","snapshot_observed_at":"2026-08-03T09:43:12.031279Z","title":"He and Z","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.031279Z"},"links":{"cited_paper":"/paper/2402.12093","citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:a612a188a45156a670d3b4b9181b243d1dfe40bcb94349d3ae26a4aef84dbeb6","observation_id":"043cbded-3712-4c3b-845f-e381bf5028cf","resolution":{"observed_at":"2026-08-03T09:43:12.031279Z","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":"10.4171/zaa/295","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Zeitschrift für Analysis und ihre Anwendungen","work_id":"2a54fe61-5717-4c35-80b8-7ae1912b84f8","year":1988},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.101266Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:d306e17dc263929e100e3b7398706aef0513c277e8400c00c5007a03aee3dbb8","observation_id":"6a3e82f2-6110-4f13-8c01-3c083ec660b4","resolution":{"observed_at":"2026-08-03T09:43:27.370925Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T09:43:12.178759Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.178759Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:072ec08cb9110b42f79f89b174aaacf1afc27c843c285556c916156b1fe68b28","observation_id":"72871b39-e8fc-487d-9842-db2759a4024b","resolution":{"observed_at":"2026-08-03T09:43:12.178759Z","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":"2026-08-03T09:43:12.261810Z","title":"Jiang, A note on zeros of derivatives of ultraspherical Bessel functions","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.261810Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:4234ef993dea0aad5112f452ea98f085e0a9895257bf7146ad88cb76528d88c9","observation_id":"13f67c56-6c2c-43b4-b793-86b4ce3cdaeb","resolution":{"observed_at":"2026-08-03T09:43:12.261810Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.04307","last_updated":"2026-05-27T15:41:09Z","snapshot_observed_at":"2026-08-06T19:48:24.741140Z","submitted_at":"2025-07-06T09:18:20Z","title":"P\\'olya's conjecture up to $\\epsilon$-loss and quantitative estimates for the remainder of Weyl's law","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.04307","snapshot_observed_at":"2026-08-03T09:43:12.343289Z","title":"Jiang and F.-H","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.343289Z"},"links":{"cited_paper":"/paper/2507.04307","citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:5f6e8aefb382df77626b08f27201a4bcc2032be69d90a22511eac2cad7b2540a","observation_id":"978d4a48-9db7-43c6-9250-ffe44a7bc353","resolution":{"observed_at":"2026-08-03T09:43:12.343289Z","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":"2026-08-03T09:43:12.463442Z","title":"Kellner, On a theorem of Polya","venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.463442Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:97aac8ee86d9ad7a1a6b04f4e5d60ed7760b714b56aa48f36296826d187abc23","observation_id":"2f6d84b0-829d-47b5-83dd-8c3a95f77dea","resolution":{"observed_at":"2026-08-03T09:43:12.463442Z","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":"2026-08-03T09:43:12.542681Z","title":"Kr\\\" o ger, Upper bounds for the Neumann eigenvalues on a bounded domain in Euclidean space, J","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.542681Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:ad3f6e3d51c6e86c40ec26463fc5b79edac28fa3107cb4ff73a5efe19ad9fb40","observation_id":"287df2dd-a5e8-4239-8306-042b1787a6f9","resolution":{"observed_at":"2026-08-03T09:43:12.542681Z","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":"2026-08-03T09:43:12.623830Z","title":null,"venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.623830Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:a22cd33664d8feeab0793ae73d6742286d29d202c98f503c0b182386cd4b6762","observation_id":"677d4e29-56d7-4fb4-922b-0e6521502464","resolution":{"observed_at":"2026-08-03T09:43:12.623830Z","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":"2026-08-03T09:43:12.695801Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.695801Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:b089d1ee06631f4a06c0c9f89a2fc3ca2344ec322b182bff4e1bbeb7fe5620b5","observation_id":"605a6c39-c326-49f5-9503-3d2d63579102","resolution":{"observed_at":"2026-08-03T09:43:12.695801Z","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":"2026-08-03T09:43:12.778087Z","title":"Lampret, Double asymptotic inequalities for the generalized Wallis ratio","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.778087Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:28a4af5417611a3a56897d79884879379c03dda5c6e09a013a43b644289b5ba7","observation_id":"75a6c05f-1d0a-45f1-acfc-57a77b0db593","resolution":{"observed_at":"2026-08-03T09:43:12.778087Z","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":"2026-08-03T09:43:12.856732Z","title":"Laptev, Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.856732Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:496280463ffbd75f19b09c0a4ce65b52861b4b3eb6c3e23e1121f1af1123b18d","observation_id":"325f5544-c17b-457f-872d-8f9518e4557a","resolution":{"observed_at":"2026-08-03T09:43:12.856732Z","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":"10.1090/gsm/237","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Levitin, D","venue":"Graduate studies in mathematics","work_id":"304f1b21-38f3-4f01-88cc-897a8b79bae9","year":2022},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:12.939444Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:90ce134d0e4a2c3bbb55a23f5c3c369d1924c1167aac82d48b0a543e397e172f","observation_id":"f3fa3a61-e877-4880-b334-0a8279b38ce4","resolution":{"observed_at":"2026-08-03T09:43:27.199184Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.25958","last_updated":"2026-08-05T16:20:47Z","snapshot_observed_at":"2026-08-08T19:13:17.472868Z","submitted_at":"2026-07-28T16:43:50Z","title":"P\\'olya's Conjecture for the Neumann Eigenvalues on Euclidean Balls","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.25958","snapshot_observed_at":"2026-08-03T09:43:13.037099Z","title":"Li, P\\' o lya's conjecture for the Neumann Laplacian on Euclidean balls","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.037099Z"},"links":{"cited_paper":"/paper/2607.25958","citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:4d9cdbbd4ef0832bbbb46a0c79a962d5d30a8e1355509c575fb16468901495e0","observation_id":"91825f1b-0688-4f96-b1d4-219934367771","resolution":{"observed_at":"2026-08-03T09:43:13.037099Z","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":"2026-08-03T09:43:13.094012Z","title":"Li and S.-T","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.094012Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:4d1d6efd4b0e04517178030b86550e3797cc8de6f8f121acb37dd2c3d8949fed","observation_id":"8516c1df-13c9-4ff0-9aec-964fcd71a201","resolution":{"observed_at":"2026-08-03T09:43:13.094012Z","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":"10.1155/s0161171295000706","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lorch and M","venue":"International Journal of Mathematics and Mathematical Sciences","work_id":"26eed398-0ed4-471a-b59f-a18695773a2d","year":1995},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.177834Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:4d9904257695eea3485dadf425b3a3c385b998612722ad4df1bbd4707a0b9d19","observation_id":"5afe8100-8975-485d-ab0f-e047d525cd41","resolution":{"observed_at":"2026-08-03T09:43:27.032570Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/2034357","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lorch and P","venue":"Proceedings of the American Mathematical Society","work_id":"f92aa4e3-6007-4af0-996e-e4ae83016a06","year":1964},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.255344Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:d5b889bf218a4ef2daecc71b107ff120bcbd433445e04e6b8b8ee6600bdbc170","observation_id":"e18eb647-ddf9-4120-bf4b-803dd1107a84","resolution":{"observed_at":"2026-08-03T09:43:26.652746Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/s0036141092231458","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lorch and P","venue":"SIAM Journal on Mathematical Analysis","work_id":"2cd7a2d1-709b-4b25-8b57-d46123fb0ae4","year":1994},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.311697Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:aea34d6527e436a1bafe5bef0bf60361068ccb3d90eaad88f9985a7ab575e565","observation_id":"95715abb-2232-4611-bb64-2fd03db574d0","resolution":{"observed_at":"2026-08-03T09:43:26.333091Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T09:43:13.393684Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.393684Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:c8c2a0bbf893e657d28f3f7ac06306a8a20cbcf45a0f42679260041d1ff2c89c","observation_id":"37c002bb-7ab7-4c13-9287-678b33383fa7","resolution":{"observed_at":"2026-08-03T09:43:13.393684Z","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":"10.1016/j.jmaa.2010.09.024","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"P\\' a lmai and B","venue":"Journal of Mathematical Analysis and Applications","work_id":"1fd5e8a5-a16b-4a68-89ca-89f852138fd6","year":2011},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.474738Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:f4516d685ea2ef06477d480f07879018c45090d03073fbbba8b8da537c74d7f5","observation_id":"2f637038-91ff-4c9d-a346-de6ba214e186","resolution":{"observed_at":"2026-08-03T09:43:25.974783Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T09:43:13.482310Z","title":"P\\' o lya, Mathematics and plausible reasoning, in two volumes, Princeton University Press, Princeton, N","venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.482310Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:c7080f75d8c2caa5f6ae8af403f7c43c20dffef94615ea02f6c58437ebef4554","observation_id":"05311de2-2412-4151-b929-507d8c18565b","resolution":{"observed_at":"2026-08-03T09:43:13.482310Z","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":"2026-08-03T09:43:13.604152Z","title":"P\\' o lya, On the eigenvalues of vibrating membranes, Proc","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.604152Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:246f0419a644334e7cfa1329ef667a2567aa2348980c66bd5684cb5163bc5b9c","observation_id":"cbce5783-32f6-4dd1-bd59-ca41ddc5544b","resolution":{"observed_at":"2026-08-03T09:43:13.604152Z","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":"2026-08-03T09:43:13.730894Z","title":"Safarov and D","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.730894Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:3c68783c00641a2c494d6aa07f8ef04cc27cac1eb5eac8bbb1e96971087692c7","observation_id":"33e93d84-313b-442f-a03c-6980fddf89d0","resolution":{"observed_at":"2026-08-03T09:43:13.730894Z","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":"2026-08-03T09:43:13.877886Z","title":"Spigler, Sulle radici dell'equazione AC_ (x)+BxC_ '(x)=0","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:13.877886Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:1917025cddc713be72c9f64675a9025ddde99cdbf1174cabf08eb97482bd4ff8","observation_id":"5fbe5ea8-1f71-4108-971d-4c5d41e31495","resolution":{"observed_at":"2026-08-03T09:43:13.877886Z","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":"2026-08-03T09:43:14.043965Z","title":"Tucker, Validated Numerics: A Short Introduction to Rigorous Computations","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:14.043965Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:be4c89dab27b8f60c191601eb6c863aae8f3b8acf7e90325a5179a5adef8a8cf","observation_id":"adebfe5b-891e-41a9-8bd7-90ab01ec3fc0","resolution":{"observed_at":"2026-08-03T09:43:14.043965Z","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":"2026-08-03T09:43:14.142748Z","title":null,"venue":null,"work_id":null,"year":1966},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:14.142748Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:67fe3b4e35d6437f8c9df2378636017fb98b10d5c84c5bd972cf5f0fc0444a32","observation_id":"63295199-b3b0-4c50-a69d-20d940016745","resolution":{"observed_at":"2026-08-03T09:43:14.142748Z","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":"2026-08-03T09:43:14.304551Z","title":"U ber die asymptotische Verteilung der Eigenwerte , Nachrichten der K\\","venue":null,"work_id":null,"year":1911},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:14.304551Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:9fd78c739f03a8c7f017d2a00f61b7c2c452717bf5e234dc160cede973fcfec4","observation_id":"64544565-f921-4f1e-9027-939b8dc8e724","resolution":{"observed_at":"2026-08-03T09:43:14.304551Z","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":"2026-08-03T09:43:14.472032Z","title":"Weyl, Das asymptotische Verteilungsgesetz linearen partiellen Differentialgleichungen, Math","venue":null,"work_id":null,"year":1912},"citing_paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-03T09:43:14.472032Z"},"links":{"citing_paper":"/paper/2607.29305"},"observation_digest":"sha256:7011132ec84ffbef5a8df96cd7475ed9cba075d6955bc013b030ca0d1a20364a","observation_id":"3aed4336-df54-42d7-b7f4-0d185c772117","resolution":{"observed_at":"2026-08-03T09:43:14.472032Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.29305","last_updated":"2026-07-31T11:24:02Z","latest_version":1,"primary_category":"math.SP","snapshot_observed_at":"2026-08-07T21:14:05.040151Z","submitted_at":"2026-07-31T11:24:02Z","title":"P\\'{o}lya's conjecture for higher-dimensional Neumann balls"},"reference_resolution":{"displayed":41,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":31,"verified_exact":10,"verified_fuzzy":0},"total_outbound_references":41},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.29305."}