{"as_of":"2026-08-21T02:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:59ba1d1a4192e91cad27085350932c622447763c6698f8c657cba6f41f000b24","coverage":[{"denominator":31,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T19:29:50.415985Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+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":"2026-06-28T08:32:26.456964Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T05:06:40.079452Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"cited_work":{"arxiv_id":"2506.17031","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.17031","snapshot_observed_at":"2026-07-02T05:06:40.079452Z","title":"Kerr and H","venue":null,"work_id":"7dc83d99-f629-4ddc-ae75-8c1999f30870","year":2025},"citing_paper":{"arxiv_id":"2606.03781","last_updated":"2026-06-02T15:36:08Z","snapshot_observed_at":"2026-08-20T22:09:05.242479Z","submitted_at":"2026-06-02T15:36:08Z","title":"Pair correlation of $\\alpha n^{\\theta}$ for random $\\theta$","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-28T08:32:26.456964Z"},"links":{"cited_paper":"/paper/2506.17031","citing_paper":"/paper/2606.03781"},"observation_digest":"sha256:c7c886456d622ba51a85f09bc8a1dce89b12dbe998f19954d7b4ec85685a2627","observation_id":"0583a536-c8ea-4398-a3ca-4b4264c4c5a6","resolution":{"observed_at":"2026-07-02T05:06:40.080828Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.17031/citation-record","integrity":"/paper/2506.17031/integrity","json":"/paper/2506.17031/citation-record.json","paper":"/paper/2506.17031"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:29:50.944925Z","title":"Aistleitner, D","venue":null,"work_id":"df30426a-b66f-409e-bf0a-3a114613ebdf","year":2021},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.275359Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:814a7a19a40f721155b5d2b1675cc1020d73a28461b01f15537f2934666842fc","observation_id":"386e6f0b-2086-4e06-8f41-109a338826e4","resolution":{"observed_at":"2026-08-15T19:29:50.949514Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.930291Z","title":"Aistleitner, T","venue":null,"work_id":"eb06580e-61a3-4045-8e4c-e2b98cd68f26","year":2018},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.280560Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:32e49b58c92a28ff17ec7cb87b530efa9269c04a948f0d29984114ce916d0098","observation_id":"5f693065-9454-4cb5-b348-e67258e6e0c7","resolution":{"observed_at":"2026-08-15T19:29:50.935198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.914930Z","title":"Aistleitner, T","venue":null,"work_id":"fbf36b69-a132-438c-a724-76fab56ed6d4","year":2019},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.285181Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:e6ef6fa76f6c4428bb7b6056e83f78c7d8234672fd569d13752ece1ce0b09c21","observation_id":"6fd461fb-3f3e-41aa-8730-8a29be0ab2eb","resolution":{"observed_at":"2026-08-15T19:29:50.920272Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.896533Z","title":"Aistleitner, G","venue":null,"work_id":"472a7168-12e1-42fa-9720-b0766623dc27","year":2017},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.289788Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:00ee66e242e48ab57ddccbcb843bb3c1b0e4ecbfe04d04a521ab1540ab0d243f","observation_id":"971b76aa-84b4-4bcf-8bd4-fb4fcda85e36","resolution":{"observed_at":"2026-08-15T19:29:50.902022Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.15274","last_updated":"2026-07-13T11:01:29Z","snapshot_observed_at":"2026-08-13T18:20:14.446320Z","submitted_at":"2025-06-18T08:48:51Z","title":"Metric Poissonian pair correlationa and additive energy","version":2},"cited_work":{"arxiv_id":"2506.15274","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.15274","snapshot_observed_at":"2026-08-15T19:29:50.472613Z","title":"Metric Poissonian pair correlationa and additive energy","venue":"math.NT","work_id":"1bdfe96c-e8a6-437d-b8d1-889d34ccd494","year":2025},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.294827Z"},"links":{"cited_paper":"/paper/2506.15274","citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:4c7e87d548c20dec3f88c646475a92688f231484a4f4561dcc195a234531b013","observation_id":"28993aeb-edb1-4db4-af83-dadd51ca95e0","resolution":{"observed_at":"2026-08-15T19:29:50.479799Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.879347Z","title":null,"venue":null,"work_id":"286859c7-46ff-406e-a078-79397fe71249","year":1977},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.300456Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:9dbbe3ce1566c75194aa896cce1be8b9ce1cd9a2f5ff347779599a64fa5d4402","observation_id":"74cbbb2c-9a00-45c1-93ad-aaacfefbe0da","resolution":{"observed_at":"2026-08-15T19:29:50.884458Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.09470","last_updated":"2025-01-16T11:15:08Z","snapshot_observed_at":"2026-08-10T19:57:34.832956Z","submitted_at":"2025-01-16T11:15:08Z","title":"Control and its applications in additive combinatorics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.09470","snapshot_observed_at":"2026-08-15T19:29:50.305833Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.305833Z"},"links":{"cited_paper":"/paper/2501.09470","citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:5f3df56140be4211ca90547dca8ba9dd4f884eee8b3fae1c14284967a17fb5c4","observation_id":"a01a3c34-7dd8-4282-b73d-b9cdaef1bf29","resolution":{"observed_at":"2026-08-15T19:29:50.305833Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T19:29:50.863048Z","title":null,"venue":null,"work_id":"2f64f3ff-9757-44f0-b4fd-48ed264a3727","year":2018},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.310899Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:152abb533a73d1fc08454ba42e33df73ecab3763f502f50940988b38b384f629","observation_id":"dbe99bf9-8f5e-40f0-9ab6-913a84891809","resolution":{"observed_at":"2026-08-15T19:29:50.867526Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.845790Z","title":null,"venue":null,"work_id":"1cd38166-da50-48d8-8f9e-e18f891385af","year":2020},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.315451Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:050a81914b4b373a18a7d8c4f2de7a799325ef439754607b7d4062bf69d52c18","observation_id":"b7e07868-176e-43ad-9e23-bfe3274f6eff","resolution":{"observed_at":"2026-08-15T19:29:50.850693Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.829361Z","title":"Boca and A","venue":null,"work_id":"5cdf6a0c-d17e-4f22-808b-a9fecb589004","year":2000},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.320364Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:06f24aa7d71bf10714b06e0afcd9e1814d5369fa4fa89fcf4629003a3cad918c","observation_id":"d5968eaf-50e8-43c6-a7a7-83c649cbed01","resolution":{"observed_at":"2026-08-15T19:29:50.835093Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.813439Z","title":"Bourgain, C","venue":null,"work_id":"8d9f7195-caa9-4f9e-9cca-a15c01f42103","year":2016},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.324996Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:fb926cccb815f83113351c74f3fe563dae70c1b5b11c45bb99cf466ca56ea34b","observation_id":"a3898b9c-c2d6-4bc9-b7e7-8bd392651a75","resolution":{"observed_at":"2026-08-15T19:29:50.818357Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.797145Z","title":"Br¨ udern, K","venue":null,"work_id":"ff3e1524-590d-4503-a1ee-8d138419fd2b","year":2010},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.330193Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:e82ec779c7a5ea20b319db125dadc4636717398082d50df1a0ccede6ea65fc22","observation_id":"5eca7584-a1d0-4445-9d4a-5f784e15a3d4","resolution":{"observed_at":"2026-08-15T19:29:50.802445Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.776291Z","title":"Chaubey, M","venue":null,"work_id":"14616b58-098a-4f84-af95-b20fdc332a2f","year":2015},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.335003Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:2d3170c0545021a2680ae0a3ad81158709f521d34bcc76a065ae6920dcde5b8d","observation_id":"f91ef888-e08e-4c89-a796-4e82466e205f","resolution":{"observed_at":"2026-08-15T19:29:50.781731Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.760524Z","title":"El-Baz, J","venue":null,"work_id":"4a2b318c-22da-4ea0-8f0b-fa19089d0690","year":2015},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.339302Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:a099116617e59accfe4229be8fd5b9575a32c166a471d5af32ddf9533f72b3a3","observation_id":"8387cf0b-d011-4905-8d32-9a2c9ee7b4d8","resolution":{"observed_at":"2026-08-15T19:29:50.765051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.744298Z","title":null,"venue":null,"work_id":"b74174a6-0831-41e6-864d-acd585e82982","year":1979},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.343624Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:45a7a62b3c0436d89c2d300e6fb33cef2b342809c36e6678adfa004c3944b82a","observation_id":"256f512a-94b6-411c-8ce6-bc83ee11fede","resolution":{"observed_at":"2026-08-15T19:29:50.749618Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.725863Z","title":"184 (2018), no","venue":null,"work_id":"ff592a4d-580e-4446-b3b7-8beb8d32deb9","year":2018},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.348211Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:a181d2ed3d6c587ebd89481198198a4a9553fdef2db5b18be124043d9df65527","observation_id":"d5df914d-b07d-4833-b3da-87d50ecd727f","resolution":{"observed_at":"2026-08-15T19:29:50.730889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.710571Z","title":"Larcher and W","venue":null,"work_id":"f35d62cc-d5e6-44c9-acdf-1a0385346985","year":2020},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.352546Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:25587e5098471ccc233ae0945152de26b8961d9bd89404438976ec9946a85dc5","observation_id":"f9f2d51a-3178-4b35-9d93-41820eb9ef51","resolution":{"observed_at":"2026-08-15T19:29:50.715861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.694382Z","title":null,"venue":null,"work_id":"2d5276bd-ab07-45ad-930e-208ab937b3b1","year":2020},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.356853Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:9ed2a826b9faf2627fa20372b25a5df8839ee5e020b19248627748ef4705eec7","observation_id":"8ca55f46-3a6f-447c-be96-fcea21607bd7","resolution":{"observed_at":"2026-08-15T19:29:50.699378Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.678925Z","title":"Lutsko, A","venue":null,"work_id":"713a7988-f0d9-4f18-8eaf-a49acce2f548","year":2025},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.361441Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:c9e8c318f4609f6fa3d6938973e1b6ac0c2fe9eec96e071fb0ee41150afb3133","observation_id":"711c67d9-9b07-4d1e-89db-1f08cc835cf6","resolution":{"observed_at":"2026-08-15T19:29:50.683894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.663606Z","title":"Marklof, The Berry-Tabor conjecture, European Congress of Mathematics, Vol","venue":null,"work_id":"63429fed-39e7-475d-88d3-186cb18d9b82","year":2000},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.365819Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:a5daee70e0e76748768f9be4344b89b0622098d4e1481ef5c25b245143c3c8a6","observation_id":"c6819b52-69d9-4dc3-8b2f-61fa2d58e94b","resolution":{"observed_at":"2026-08-15T19:29:50.668753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.649514Z","title":"Radziwi l l and A","venue":null,"work_id":"93478ec2-67ec-47e6-b966-4f2450fdb53b","year":2024},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.370875Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:ec89b8e987759b38a046d556a79fa3c673b5690e027ee4f9608e4d2f9eb1c705","observation_id":"a435c589-f1ce-4148-9865-b984cc0b58bb","resolution":{"observed_at":"2026-08-15T19:29:50.653941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.635111Z","title":"Rudnick and P","venue":null,"work_id":"2cfcfaf7-d9d6-4388-a4bd-bc0eaeb5d4e4","year":1998},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.375216Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:597094adf35e94c0026e7e191308c32bd56cb6bcef65527f0a0aef374b599e56","observation_id":"27ec3a1e-3c94-4947-bc04-e27af2e7328e","resolution":{"observed_at":"2026-08-15T19:29:50.639906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.620106Z","title":"Rudnick, P","venue":null,"work_id":"b2fde417-24df-436c-aafa-c6a7fdfa46c8","year":2001},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.379772Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:f33f1eeb11113091c9cd53613414f3acc58447c4d966c1f6e14a949f73520aed","observation_id":"14f08d0b-c451-4dd8-b8b9-4c3674eb7268","resolution":{"observed_at":"2026-08-15T19:29:50.624587Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.604516Z","title":"Rudnick and N","venue":null,"work_id":"f565a87e-4036-4ca1-93b0-b3996921910c","year":2020},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.384257Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:b22da882c6bce571119c53d8b699e456a0eba113718f982145f8404c087b1c50","observation_id":"c84d75bd-4fbb-4b59-9ffd-67ac43b67cf2","resolution":{"observed_at":"2026-08-15T19:29:50.609407Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.589482Z","title":null,"venue":null,"work_id":"e7541a21-ebdd-46e6-b49e-597d49bdbaf2","year":2022},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.389077Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:899c2d109c3f04264dd6f85798b77ae55a38bc83792f33d36efc6159cb72b302","observation_id":"af5529b2-8886-4fb1-91b8-cd465c8d72ed","resolution":{"observed_at":"2026-08-15T19:29:50.594404Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.574206Z","title":"Rudnick and A","venue":null,"work_id":"fc822b65-c48c-4bbd-97fb-b55590acd52c","year":1999},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.393461Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:f0b2c22d6ccf85ef5e03c07aee85e551999d63ba9ae5fdf35cb9d6b229becc60","observation_id":"1dbdad53-2e26-4cb7-b673-283700d8c733","resolution":{"observed_at":"2026-08-15T19:29:50.578860Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.557698Z","title":null,"venue":null,"work_id":"fb0e14df-bad6-4df1-a08f-9fcbea8bfe6a","year":2013},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.398080Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:8e18f6d736cbe1b27aa5ec3ebbac2df209e1fdc70adadd674d49ad635230f97f","observation_id":"5bfbb182-e245-4757-9d85-6c6bb3a8def3","resolution":{"observed_at":"2026-08-15T19:29:50.562838Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.541711Z","title":"Tao and V","venue":null,"work_id":"b08565cb-1d7f-4e78-a59d-0a0552a760a4","year":2010},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.402227Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:5dcf929785b5973cec0e3eb9a94d1ee94454abd9bfccfb1ab25b919f9c4caf49","observation_id":"a8fc4647-aa89-45d0-a0c4-0ea2137332ad","resolution":{"observed_at":"2026-08-15T19:29:50.547075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.525583Z","title":"Walker, The primes are not metric Poissonian , Mathematika 64 (2018), no","venue":null,"work_id":"d0df961a-4dbc-4dff-9c17-83cc9b436c86","year":2018},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.407277Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:ce1e4e19adaa9eddf0129495359fd1a55c1a72434a4b32fe4ec8e6bf9add7e58","observation_id":"b181d8c8-6593-4b73-9dd4-a3227873fb6d","resolution":{"observed_at":"2026-08-15T19:29:50.530997Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.508682Z","title":"Watt, Exponential sums and the Riemann zeta-function","venue":null,"work_id":"88294bb3-2dbb-4dfb-a1ad-015cf48c22b3","year":1989},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.411535Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:a9d368e9df83e1cff81eca15a3c6978f729e87fe51c86e9dcbbd221106ab69e4","observation_id":"dbab5c72-17cf-4c57-880f-79522e1b4284","resolution":{"observed_at":"2026-08-15T19:29:50.514368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-15T19:29:50.491742Z","title":null,"venue":null,"work_id":"6b640229-e4c5-4b37-b947-d71689296b2b","year":2019},"citing_paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T19:29:50.415985Z"},"links":{"citing_paper":"/paper/2506.17031"},"observation_digest":"sha256:c30292042afe2daf45b3078244009bdc3a1f37163c92d0ce9e3bc1b54f3785c7","observation_id":"f7f1160c-f790-44fd-bab8-db36ca6c5cee","resolution":{"observed_at":"2026-08-15T19:29:50.496800Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.17031","last_updated":"2025-08-14T07:17:19Z","latest_version":2,"primary_category":"math.NT","snapshot_observed_at":"2026-08-15T19:11:03.758276Z","submitted_at":"2025-06-20T14:37:34Z","title":"Metric Poissonian pair correlation for real sequences and energy estimates"},"reference_resolution":{"displayed":31,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":1,"verified_fuzzy":21},"total_outbound_references":31},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2506.17031."}