{"as_of":"2026-08-14T14:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5813feaaa19a6e80003b00df7e08473e7a0d8964d04063fe51de7664c31c99e2","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T22:39:23.419878Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/2501.01265/citation-record","integrity":"/paper/2501.01265/integrity","json":"/paper/2501.01265/citation-record.json","paper":"/paper/2501.01265"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T22:39:23.844399Z","title":null,"venue":null,"work_id":"588bb5b7-acb6-4a33-bbee-3baef753e274","year":1976},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.276299Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:3bb5ff14d1533b37b4d313c024296e6a4796d70b4a461bb2d1f2aa0f3d6b3cbb","observation_id":"fce34592-439e-4b3a-b0b9-f2436419ce13","resolution":{"observed_at":"2026-08-10T22:39:23.848899Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.832760Z","title":"B´ etermin and P","venue":null,"work_id":"e7e8bdde-fdf4-46ca-885c-0a410aa538b2","year":2015},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.281318Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:dbce6543c6ed3cab63a109057966f7cc42dd9203b9291e2076e95ba5b4c54d0f","observation_id":"c8532790-0a1f-4648-935a-307ba72e0d40","resolution":{"observed_at":"2026-08-10T22:39:23.837131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.821598Z","title":"B´ etermin, Two-dimensional theta functions and crystallization among Bravais lattices, SIAM J","venue":null,"work_id":"87026e1b-9d0e-4c04-a044-f88518dda0b4","year":2016},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.285660Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:0412fa034245ad742d62541ec37e0fa60505f1ec70abb0cf2ca4396e3b4b4422","observation_id":"cde37030-233e-444e-8d38-e008ae8e188e","resolution":{"observed_at":"2026-08-10T22:39:23.825466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.808609Z","title":"B´ etermin, Local variational study of 2d lattice ener gies and application to Lennard-Jones type interactions, Nonlinearity, 31(9) (2018), 3973-4005","venue":null,"work_id":"0363415b-2c7d-4026-af4d-48f295606f9d","year":2018},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.290514Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:f842da70ad607cdebaaeffb5180e139481b1f2dd95ee52fa3d1cccf0a32d1fef","observation_id":"b2c63174-67b5-4604-a2f3-3dd2dc18826a","resolution":{"observed_at":"2026-08-10T22:39:23.813784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.797838Z","title":"B´ etermin, Minimizing lattice structures for Morse p otential energy in two and three dimensions, J","venue":null,"work_id":"98dac6ca-caf8-4be5-a0b5-16e712f74707","year":2019},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.295001Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:6251ab46f575c6f9bc8add41f8fac736c1e4b6c8c11a203507d6ef593b1ef750","observation_id":"7413ebcc-a270-4ce7-95e7-f1788243586a","resolution":{"observed_at":"2026-08-10T22:39:23.801482Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.786650Z","title":"B´ etermin and M","venue":null,"work_id":"7028f229-58ea-4082-9407-a2c00d863934","year":2017},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.299377Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:8cc4bffbf8431eedbfbaa484e039da176ed088a30e15ebc0638691cc097f69a9","observation_id":"c3988dfd-dfcf-4915-9c92-3603d1e38170","resolution":{"observed_at":"2026-08-10T22:39:23.791110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.774915Z","title":"B´ etermin, M","venue":null,"work_id":"4dd25013-e458-45e1-97d0-0779c8d91c50","year":2021},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.305426Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:90aad694af84c5eaf140ac33f10630918bc9c13ed099f54e9a4f7662a3823a3e","observation_id":"958c9473-688a-454d-b278-ed8ca7ff664c","resolution":{"observed_at":"2026-08-10T22:39:23.780033Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.765137Z","title":"B´ etermin and M","venue":null,"work_id":"a95446ab-e532-4807-9354-06a37c7c6a2d","year":2019},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.309372Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:d0630a61d2f380cbf410c5d3972a515df9bf385b4f9218ec477524aab222d07c","observation_id":"157ad9b7-7491-40ec-a09e-8b257715f6b1","resolution":{"observed_at":"2026-08-10T22:39:23.768571Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.754352Z","title":"B´ etermin, On energy ground states among crystal latt ice structures with prescribed bonds, J","venue":null,"work_id":"1a1626fb-adb9-4cdf-adf3-9f24f1946914","year":2021},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.313667Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:62e349a4d2beffc7733a5a73d9e338df3615f330965a68d154fa08d5ed2e9869","observation_id":"4430f733-d159-4af4-a430-82303262daf3","resolution":{"observed_at":"2026-08-10T22:39:23.758863Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.741644Z","title":"B´ etermin, Eﬀect of periodic arrays of defects on lat tice energy minimizers","venue":null,"work_id":"be6b4717-519b-4fcb-a612-806207b5a5ec","year":2021},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.318422Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:d7dad0df777290cc4729801ec920d86b2fa88e4f5c9557e9513b303a5a14404f","observation_id":"01161f40-f0ca-47bb-b29f-e66b4401090f","resolution":{"observed_at":"2026-08-10T22:39:23.746345Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.730764Z","title":"B´ etermin, L","venue":null,"work_id":"cedfda7b-8377-46a5-b668-db28c963d0c5","year":2021},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.322236Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:ecfcd2f10f7a27d1c458012da64d0c5c122ce628b81887ebf13c82adeb50c727","observation_id":"678d644b-d14b-4043-aae9-3ef1b9fbd3cc","resolution":{"observed_at":"2026-08-10T22:39:23.734703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.716538Z","title":"B´ etermin, M","venue":null,"work_id":"132c68f7-b4a3-4971-b1c0-e09a6b666455","year":2021},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.326172Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:542376f0aebffc022a22de237e4d527c5e449ba5d54e0267eb69fd886f72c49a","observation_id":"95f5f91f-e4eb-40d4-876a-dd7811b2d47e","resolution":{"observed_at":"2026-08-10T22:39:23.722902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.699379Z","title":"Blanc and M","venue":null,"work_id":"339cbfa8-1a2a-4b95-8203-a31f6eca6891","year":2015},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.332116Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:68883dc8c7b909e10a7e2a3ed860609ecf21618ec794f43e9d603b6680f4a35d","observation_id":"3d0b79ea-e43f-43a7-bc9a-89a7c27dd1a3","resolution":{"observed_at":"2026-08-10T22:39:23.706544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.686214Z","title":null,"venue":null,"work_id":"5699cd08-92b9-42b7-84e4-7eedff62daeb","year":1959},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.336407Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:72ed1d6f2f067fd082833bac63cf21186b6d9fc63d692eb3473a441d90d25ddb","observation_id":"4e400ddf-bccf-46db-b5ff-0cdaf3d2f650","resolution":{"observed_at":"2026-08-10T22:39:23.690690Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.674376Z","title":null,"venue":null,"work_id":"38d45e43-f6ba-4784-aca3-c552487d0c2d","year":1964},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.342235Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:35ed1e715d884aaa252db690a139625f56ee4d8f646458ad42dcdf344026d951","observation_id":"26152c1a-ddc4-4f20-b8aa-c1af9c4827e5","resolution":{"observed_at":"2026-08-10T22:39:23.679568Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.17199","last_updated":"2024-11-26T08:12:13Z","snapshot_observed_at":"2026-08-12T23:47:03.863297Z","submitted_at":"2024-11-26T08:12:13Z","title":"Minimizing Lattice Energy and Hexagonal Crystallization","version":1},"cited_work":{"arxiv_id":"2411.17199","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.17199","snapshot_observed_at":"2026-08-10T22:39:23.501754Z","title":"Minimizing Lattice Energy and Hexagonal Crystallization","venue":"math.AP","work_id":"5f3cbd38-c29c-4072-b98f-bd49f70e4848","year":2024},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.346973Z"},"links":{"cited_paper":"/paper/2411.17199","citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:94288fe6013721363ba90e283170d6ae25c70d843bb5fc9dee9046a3625a7291","observation_id":"a3156f94-b090-4b38-88e6-b60a5a4a36d6","resolution":{"observed_at":"2026-08-10T22:39:23.506344Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.662551Z","title":"Ennola, A lemma about the Epstein zeta function, Proc","venue":null,"work_id":"adfdfdc2-9b55-411c-80b7-78ed17712956","year":1964},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.351943Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:2bfded3bff50a8b22c383a55eeb868e74a4cbfbf3eb68e7fe98104ce7f62d587","observation_id":"cadc036c-a6bd-44af-ac9c-1911d8a1c799","resolution":{"observed_at":"2026-08-10T22:39:23.666374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.650962Z","title":"Ennola, On a problem about the Epstein zeta-function , Proc","venue":null,"work_id":"36fdafb9-b2f1-427f-ac70-9a78af7ed9eb","year":1964},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.357235Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:0fd3e1f43d25013ac84a1c640380738442a24e06175c13499bcf1a34f369b2a1","observation_id":"9d166e18-61eb-408e-9d7b-15c99e1ca6b3","resolution":{"observed_at":"2026-08-10T22:39:23.654667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.636396Z","title":"Evans, A fundamental region for Hecke modular group, J","venue":null,"work_id":"2281b88e-2686-4aaa-ab4f-40d332d7f4ef","year":1973},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.361287Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:acffaa4c8b497c9347919c86cacd0e4a7e4ba61079db9e99f3a739540a6b9494","observation_id":"46d3795d-49d9-44c4-9a49-a757671ff312","resolution":{"observed_at":"2026-08-10T22:39:23.640999Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.621275Z","title":null,"venue":null,"work_id":"20512aa2-17c3-4afb-bb55-f81394520e8c","year":2020},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.366126Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:edefb0cc1ba37828ce63dc604dc6e9d3946ac618add16ca935b1a4a6770db6b0","observation_id":"f3e2cb11-ab61-4548-9bd8-81fb435b1792","resolution":{"observed_at":"2026-08-10T22:39:23.625771Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.607226Z","title":"Luo and J","venue":null,"work_id":"7065cbda-3e10-48de-adc9-bea3872bab31","year":2022},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.372805Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:398c9ac542b93aa8f20e1979e212f8c0050b824606ffd839e2ab230fba6b7050","observation_id":"b0ae19af-ada0-42ba-afa2-1ac0396b17fe","resolution":{"observed_at":"2026-08-10T22:39:23.612646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.593854Z","title":"Luo and J","venue":null,"work_id":"42e8cfd4-f378-4cdc-91bf-ce4001eb57e4","year":2023},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.378577Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:969a3e21c4b3b775b14c0c9f7685bed1d8db3d8c4243c321d270b56a72dffc5e","observation_id":"1c0b4f89-cbd9-4d5f-ae27-4cf5d01c7d44","resolution":{"observed_at":"2026-08-10T22:39:23.598000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.579535Z","title":"Luo and J","venue":null,"work_id":"bf0a035e-48cf-4f66-9fbf-6d219e8c6fc3","year":2024},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.383671Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:92be405774f17a230da706575683da4ef9b45821e803e8a2282b37316ac03cd2","observation_id":"533bfaf7-4e90-4329-a1cb-9c1bc8ec9b6b","resolution":{"observed_at":"2026-08-10T22:39:23.584766Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.02497","last_updated":"2023-12-05T04:59:22Z","snapshot_observed_at":"2026-08-13T05:09:51.851974Z","submitted_at":"2023-12-05T04:59:22Z","title":"On a variational model for the continuous mechanics exhibiting hexagonal to square Phase Transitions","version":1},"cited_work":{"arxiv_id":"2312.02497","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.02497","snapshot_observed_at":"2026-08-10T22:39:23.464506Z","title":"On a variational model for the continuous mechanics exhibiting hexagonal to square Phase Transitions","venue":"math.AP","work_id":"b896015d-1489-45c0-b985-13745c7904c5","year":2023},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.392876Z"},"links":{"cited_paper":"/paper/2312.02497","citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:1096b0161bec8893109c7a133667cebe68b9e7ecf1b564ddbe55831aaf43262b","observation_id":"b4323530-2458-48bd-b125-23a3a5f11136","resolution":{"observed_at":"2026-08-10T22:39:23.471685Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.10727","last_updated":"2022-12-21T02:46:30Z","snapshot_observed_at":"2026-08-13T13:17:38.380756Z","submitted_at":"2022-12-21T02:46:30Z","title":"On Minima of Difference of Epstein Zeta Functions and Exact Solutions to Lennard-Jones Lattice Energy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2212.10727","snapshot_observed_at":"2026-08-10T22:39:23.398387Z","title":"Luo and J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.398387Z"},"links":{"cited_paper":"/paper/2212.10727","citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:fab6bbbb21f53ed36a2a870fbeb5db819d6a5ce11499a0b320b26de88bcc8af2","observation_id":"5ac2a35a-7dff-4a51-941c-b787f5015990","resolution":{"observed_at":"2026-08-10T22:39:23.398387Z","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":"2026-08-10T22:39:23.562152Z","title":"Luo and J","venue":null,"work_id":"9a33faa0-2ea4-44c0-aae0-d1456b77e968","year":null},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.402523Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:b2594bb40d35660f387e946915e4a2a0c1fbfd4589971949c4a878ff33f6556a","observation_id":"b9c84b79-f241-4c5a-86b0-c3d23b82933b","resolution":{"observed_at":"2026-08-10T22:39:23.567679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.08728","last_updated":"2021-10-17T05:39:57Z","snapshot_observed_at":"2026-08-13T17:51:51.506533Z","submitted_at":"2021-10-17T05:39:57Z","title":"On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials","version":1},"cited_work":{"arxiv_id":"2110.08728","doi":null,"metadata_source":"pith","pith_arxiv_id":"2110.08728","snapshot_observed_at":"2026-08-10T22:39:23.484110Z","title":"On universally optimal lattice phase transitions and energy minimizers of completely monotone potentials","venue":"math.CA","work_id":"775a6509-b78a-4091-85c2-5b62e25a8226","year":2021},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.406759Z"},"links":{"cited_paper":"/paper/2110.08728","citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:931445ed413abaf4377237239ec0c6708168186783a5461f6e3e8304e48188ea","observation_id":"a727648d-ac8d-42b0-b197-46ad1152e6f2","resolution":{"observed_at":"2026-08-10T22:39:23.489496Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.548439Z","title":"Montgomery, Minimal theta functions, Glasgow Math","venue":null,"work_id":"2a127ecc-6454-4746-9d45-963a107a55c1","year":1988},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.411327Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:35c28e5ca272d97af124c7fac9c17589606e206c6adeccbbb7a125eb6d01fa80","observation_id":"17a70f39-0177-4339-82da-8bd461357492","resolution":{"observed_at":"2026-08-10T22:39:23.553399Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.532807Z","title":"Radin, Low temperature and the origin of crystalline symmetry, Int","venue":null,"work_id":"3e3ad167-bb89-4f8b-887d-29cc0e7896be","year":1987},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.415236Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:34681805129d0f794dba2899961b3827e3fd8f370c2c0f0b32e43edb8a5a77d5","observation_id":"a02e1fd5-55f4-49fd-93c9-22d79dd0a9dc","resolution":{"observed_at":"2026-08-10T22:39:23.537923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-10T22:39:23.517357Z","title":null,"venue":null,"work_id":"283035ca-3f58-483d-aa69-ee3f0a92ca72","year":1953},"citing_paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T22:39:23.419878Z"},"links":{"citing_paper":"/paper/2501.01265"},"observation_digest":"sha256:c117dbd867990417eed8b5039c157f52f4c0595d48a7c182c248b2a019119029","observation_id":"03fdf64c-fa91-41d1-bc7e-00c52e8c0ecf","resolution":{"observed_at":"2026-08-10T22:39:23.522616Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.01265","last_updated":"2025-01-02T14:04:23Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-11T13:48:39.404577Z","submitted_at":"2025-01-02T14:04:23Z","title":"Signs of high order derivatives for the theta and Epstein zeta functions and application"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":3,"verified_fuzzy":21},"total_outbound_references":30},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2501.01265."}