{"as_of":"2026-08-08T14:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:91146bd9354d012abe6824207fcfeb3d995597accd3e185e4d20fd142eaee7c7","coverage":[{"denominator":8,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":8,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:00:58.658221Z","state":"measured"},{"denominator":8,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":8,"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/2505.23092/citation-record","integrity":"/paper/2505.23092/integrity","json":"/paper/2505.23092/citation-record.json","paper":"/paper/2505.23092"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:00:59.935657Z","title":null,"venue":null,"work_id":"fdcf6dbd-cf15-419c-a84c-d2e05009776b","year":1976},"citing_paper":{"arxiv_id":"2505.23092","last_updated":"2025-05-29T04:51:57Z","snapshot_observed_at":"2026-08-07T12:51:08.346885Z","submitted_at":"2025-05-29T04:51:57Z","title":"L'H\\^{o}pital's Rule is Equivalent to the Least Upper Bound Property","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T13:00:57.901643Z"},"links":{"citing_paper":"/paper/2505.23092"},"observation_digest":"sha256:2335b457a4797c14444223813f87e47a04e5f25b20423b914091516eebe80314","observation_id":"a70c9bde-9b21-48e8-8ef5-e4feb7fe2d82","resolution":{"observed_at":"2026-08-07T13:00:59.991549Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:00:59.804378Z","title":"72 + 42: characterizations of the completeness and Archimedean properties of ordered fields","venue":null,"work_id":"5c727d27-5960-4e7a-a921-455967e7930a","year":2013},"citing_paper":{"arxiv_id":"2505.23092","last_updated":"2025-05-29T04:51:57Z","snapshot_observed_at":"2026-08-07T12:51:08.346885Z","submitted_at":"2025-05-29T04:51:57Z","title":"L'H\\^{o}pital's Rule is Equivalent to the Least Upper Bound Property","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T13:00:57.985436Z"},"links":{"citing_paper":"/paper/2505.23092"},"observation_digest":"sha256:0158e4019ceb3f404fc5b0c5c03f4e961ce3f8e08abc921638dc4bc166cb0905","observation_id":"d3435da6-3d01-4dad-b104-3fc02df3ce0f","resolution":{"observed_at":"2026-08-07T13:00:59.855460Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:00:59.681333Z","title":"¨Uber die nichtarchimedischen Gr¨ oßensysteme","venue":null,"work_id":"ef089d2e-48c9-45ed-b5d1-f18bfdc70b56","year":1907},"citing_paper":{"arxiv_id":"2505.23092","last_updated":"2025-05-29T04:51:57Z","snapshot_observed_at":"2026-08-07T12:51:08.346885Z","submitted_at":"2025-05-29T04:51:57Z","title":"L'H\\^{o}pital's Rule is Equivalent to the Least Upper Bound Property","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:00:58.093426Z"},"links":{"citing_paper":"/paper/2505.23092"},"observation_digest":"sha256:084c211cbc7521eb65dc7befc90c7ddbd806f65b009eb978d8f39524ce8bde5c","observation_id":"33a8a1f2-25ea-44af-9295-bf6be1351ead","resolution":{"observed_at":"2026-08-07T13:00:59.744168Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:00:59.483381Z","title":null,"venue":null,"work_id":"cab97777-d59e-40bb-a279-9303be378fbd","year":2004},"citing_paper":{"arxiv_id":"2505.23092","last_updated":"2025-05-29T04:51:57Z","snapshot_observed_at":"2026-08-07T12:51:08.346885Z","submitted_at":"2025-05-29T04:51:57Z","title":"L'H\\^{o}pital's Rule is Equivalent to the Least Upper Bound Property","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T13:00:58.199042Z"},"links":{"citing_paper":"/paper/2505.23092"},"observation_digest":"sha256:9241214c0fa5fe9f8a48a89f755480d07e052becb6d0eea0b5ad8027253672f5","observation_id":"218e3e96-d2a4-49e8-aacb-944e06693930","resolution":{"observed_at":"2026-08-07T13:00:59.590300Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:00:59.271479Z","title":"Real analysis in reverse","venue":null,"work_id":"33fdcf26-d9e3-4dc0-803e-364ac51af3c2","year":2013},"citing_paper":{"arxiv_id":"2505.23092","last_updated":"2025-05-29T04:51:57Z","snapshot_observed_at":"2026-08-07T12:51:08.346885Z","submitted_at":"2025-05-29T04:51:57Z","title":"L'H\\^{o}pital's Rule is Equivalent to the Least Upper Bound Property","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T13:00:58.322091Z"},"links":{"citing_paper":"/paper/2505.23092"},"observation_digest":"sha256:675946506cdd112973ee589d247246bcd2df3b99411bba53a6a0f4c90e0188db","observation_id":"2140d87f-7930-4de3-b4a5-862fbed22fad","resolution":{"observed_at":"2026-08-07T13:00:59.360350Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:00:59.094764Z","title":"Principles of mathematical analysis","venue":null,"work_id":"3873cce1-441c-4b37-8d4e-1fd62bc5253a","year":1976},"citing_paper":{"arxiv_id":"2505.23092","last_updated":"2025-05-29T04:51:57Z","snapshot_observed_at":"2026-08-07T12:51:08.346885Z","submitted_at":"2025-05-29T04:51:57Z","title":"L'H\\^{o}pital's Rule is Equivalent to the Least Upper Bound Property","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T13:00:58.427119Z"},"links":{"citing_paper":"/paper/2505.23092"},"observation_digest":"sha256:dd72208496fea653c471f0fc5c7ed17cb9dcd4ce377d0420dbd45a5e6a017f9b","observation_id":"88ccf40d-716d-47ed-9e92-cf3514c1f018","resolution":{"observed_at":"2026-08-07T13:00:59.172689Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:00:58.955674Z","title":"On locally uniformly differentiable functions on a complete non-Archimedean ordered field extension of the real numbers","venue":null,"work_id":"cf76e59d-6e74-4494-86dd-c2425c765448","year":2012},"citing_paper":{"arxiv_id":"2505.23092","last_updated":"2025-05-29T04:51:57Z","snapshot_observed_at":"2026-08-07T12:51:08.346885Z","submitted_at":"2025-05-29T04:51:57Z","title":"L'H\\^{o}pital's Rule is Equivalent to the Least Upper Bound Property","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T13:00:58.539914Z"},"links":{"citing_paper":"/paper/2505.23092"},"observation_digest":"sha256:fa8c950ce0cec185904a17360876df4e4bc73843e31bab7208b61a2d12751800","observation_id":"56a84e0c-d49e-4aca-b8cc-748396090d72","resolution":{"observed_at":"2026-08-07T13:00:59.025385Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:00:58.768576Z","title":"Toward a more complete list of completeness axioms","venue":null,"work_id":"90d37f56-208e-4669-a805-68632b3aae60","year":2013},"citing_paper":{"arxiv_id":"2505.23092","last_updated":"2025-05-29T04:51:57Z","snapshot_observed_at":"2026-08-07T12:51:08.346885Z","submitted_at":"2025-05-29T04:51:57Z","title":"L'H\\^{o}pital's Rule is Equivalent to the Least Upper Bound Property","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T13:00:58.658221Z"},"links":{"citing_paper":"/paper/2505.23092"},"observation_digest":"sha256:d81cb2579b1a802b0630fe194bddfc2e1410b233a33381261be6ab86f654515a","observation_id":"27fb1437-691e-45c0-aede-c934610ec1b7","resolution":{"observed_at":"2026-08-07T13:00:58.858719Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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"}}],"paper":{"arxiv_id":"2505.23092","last_updated":"2025-05-29T04:51:57Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-07T12:51:08.346885Z","submitted_at":"2025-05-29T04:51:57Z","title":"L'H\\^{o}pital's Rule is Equivalent to the Least Upper Bound Property"},"reference_resolution":{"displayed":8,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":6},"total_outbound_references":8},"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 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2505.23092."}