{"as_of":"2026-08-08T11:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d62348d9f85e8275035d3d5cf057ae0383db451785a9bfef82e08fc24e493553","coverage":[{"denominator":45,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":45,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T14:04:46.123482Z","state":"measured"},{"denominator":45,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":45,"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/2509.00205/citation-record","integrity":"/paper/2509.00205/integrity","json":"/paper/2509.00205/citation-record.json","paper":"/paper/2509.00205"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T14:04:55.193272Z","title":null,"venue":null,"work_id":"410a33ca-4b17-43a7-ace8-c4c3cdf44832","year":2024},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.019746Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:f35a3eecd4aeb79c3368b720ea2202d9ab035581bcc9092441ced3ac6ee6aa7e","observation_id":"6bdbe0d2-ede5-433c-8a13-ba3d40bdfdcb","resolution":{"observed_at":"2026-08-05T14:04:55.279882Z","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":"2026-08-05T14:04:55.015190Z","title":"Beer and A","venue":null,"work_id":"faad3a82-4792-40d4-8db0-c8bf53747e4c","year":1991},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.092909Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:0b092d2494797b21df13170cc0f5ea5fd8484a855309dc1c43aad8bb89e25008","observation_id":"356646df-5313-47fb-bd0c-312f53c09bad","resolution":{"observed_at":"2026-08-05T14:04:55.101387Z","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":"2026-08-05T14:04:54.826934Z","title":null,"venue":null,"work_id":"c97db3a7-d3d6-4632-b47c-0b7e9ad18007","year":1992},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.167453Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:5a9ea2253edb7d7a0565522564793cb13c00d0076d7e6efb86f9080a0c81af92","observation_id":"a86eba44-375e-40ca-94dd-556fe4ed6956","resolution":{"observed_at":"2026-08-05T14:04:54.902634Z","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":"2026-08-05T14:04:54.681143Z","title":null,"venue":null,"work_id":"052ce6d3-faba-4967-9c38-263a9e1bba25","year":2017},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.256341Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:6540196c33181e4f1a691e93398c714eaf077f8325cf5bd82d82cc0f1e668832","observation_id":"12653571-25bf-4733-8aed-c76eaffcf65b","resolution":{"observed_at":"2026-08-05T14:04:54.742551Z","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":"2026-08-05T14:04:54.506475Z","title":null,"venue":null,"work_id":"3e7702e2-22ed-425c-9404-f8208d7d5ffc","year":2023},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.343800Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:c65b33e32b5bcd6606883c8e0d19e4db0efada206add612e04a0d0d57b2a145c","observation_id":"49d752eb-efbe-44e2-9b1a-73d004cf3592","resolution":{"observed_at":"2026-08-05T14:04:54.592409Z","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":"2026-08-05T14:04:54.299360Z","title":"Bilet and O","venue":null,"work_id":"bc2948ee-1ee1-4838-b1be-ea98c596d82a","year":2023},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.413058Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:31f2aba41d44c044dad7c3696bc04bf50430557c3a9d3f06872526b861ab1213","observation_id":"8840b745-0d70-44aa-977a-34d3d7dd70de","resolution":{"observed_at":"2026-08-05T14:04:54.371425Z","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":"2026-08-05T14:04:54.099626Z","title":"Front.Appl.Math.Stat","venue":null,"work_id":"8b423dbf-676a-4c8f-b555-cef1ac514458","year":2024},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.470284Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:22e87b9263ee0848a62312fbf8942930ea943c8712ca04b0a97130feb24c39f3","observation_id":"4286cce6-9dce-452a-9dc8-2dbe5b3e55f6","resolution":{"observed_at":"2026-08-05T14:04:54.184633Z","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":"2026-08-05T14:04:53.889753Z","title":"Bilet, O","venue":null,"work_id":"7fd0d6aa-050a-46a1-9e77-381f434673a5","year":2022},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.534109Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:cc810577cad73d71e2e5d4ac7a279fecf2c6161c5ae618b773147c27b044dc52","observation_id":"27877174-07d7-4a39-9d3b-746f5726a2b4","resolution":{"observed_at":"2026-08-05T14:04:53.954312Z","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":"2026-08-05T14:04:53.691103Z","title":"Topology and its Applications, 155(14):1462–1478, 2008","venue":null,"work_id":"cd68f6a4-9ee4-4103-bfcf-02e05e1ecce3","year":2008},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.586145Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:0c90249ef6bc5e6d17b234f15582b583a366e7a7b40dab642ed6e4a36e9028d6","observation_id":"d743ff0f-1b15-49a5-9a74-f5354563412b","resolution":{"observed_at":"2026-08-05T14:04:53.799385Z","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":"2026-08-05T14:04:53.389871Z","title":null,"venue":null,"work_id":"1110b9bc-ba8b-47ff-8bf9-d9d6019c7891","year":2016},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.646915Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:f8b8a60346813b30c7e17f4c1b763534902633a9681dacd3daa0469a81d649a6","observation_id":"dded3da1-d3b6-4885-acf2-861ba5888988","resolution":{"observed_at":"2026-08-05T14:04:53.529784Z","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":"2026-08-05T14:04:53.120452Z","title":"Dordovskyi, O","venue":null,"work_id":"6d712850-96c7-4a0f-a1a8-eb72176fef7f","year":2011},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.706572Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:1593c1afa9bdab02fce74a4e88656fbe0b19eb6e42c2d8aea0fefd4e58118923","observation_id":"5e5cd6ae-f5e9-4a0a-8735-20d1470e3f11","resolution":{"observed_at":"2026-08-05T14:04:53.250474Z","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":"2026-08-05T14:04:52.836537Z","title":"Dovgoshey","venue":null,"work_id":"068a7351-76f5-450f-aa57-3b7af469874d","year":2019},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.780146Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:bce78ad5f356f909ff99a074021bcde0beec77f0c65cda81dc877051e5b8cd99","observation_id":"83544a0c-d327-44cf-b650-99a490ce49ee","resolution":{"observed_at":"2026-08-05T14:04:52.944442Z","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":"2026-08-05T14:04:52.581023Z","title":"Dovgoshey","venue":null,"work_id":"587416e8-2239-4e6b-9321-0ffcb92ed87a","year":2020},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.830263Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:add6d0c37e88272a4375208e1f0347045a88a146ac14c5eec75536c85cbfdf78","observation_id":"b1fde2d2-38aa-4b1a-8415-fd2961b696d1","resolution":{"observed_at":"2026-08-05T14:04:52.716723Z","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":"2026-08-05T14:04:52.249678Z","title":"Dovgoshey","venue":null,"work_id":"669d2e51-6a12-48ba-a9aa-b8143290f277","year":2024},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.892408Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:3dc8dacfc616132355c53a8382e4d416c22ef8772899f7296569e1e9a55dfa6d","observation_id":"57728534-a700-4eb9-9008-44f2f68c5372","resolution":{"observed_at":"2026-08-05T14:04:52.427376Z","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":{"arxiv_id":"2502.04228","last_updated":"2025-02-06T17:13:04Z","snapshot_observed_at":"2026-07-06T20:32:18.814472Z","submitted_at":"2025-02-06T17:13:04Z","title":"Totally bounded ultrametric spaces and locally finite trees","version":1},"cited_work":{"arxiv_id":"2502.04228","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.04228","snapshot_observed_at":"2026-08-05T14:04:46.527622Z","title":"Totally bounded ultrametric spaces and locally finite trees","venue":"math.GN","work_id":"296fca7e-04d6-46c1-9083-9fbc74aaed96","year":2025},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:43.963286Z"},"links":{"cited_paper":"/paper/2502.04228","citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:6eaf165b093682264824f9b9f881bc9eacd1acbdd5f85d3e934ddc05bd1cc18a","observation_id":"6db6f70d-bd9e-473a-a8da-df46872611ed","resolution":{"observed_at":"2026-08-05T14:04:46.623630Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.02425","last_updated":"2025-04-03T09:28:50Z","snapshot_observed_at":"2026-08-07T16:12:05.124006Z","submitted_at":"2025-04-03T09:28:50Z","title":"Compact ultrametric spaces generated by labeled star graphs","version":1},"cited_work":{"arxiv_id":"2504.02425","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.02425","snapshot_observed_at":"2026-08-05T14:04:46.342006Z","title":"Compact ultrametric spaces generated by labeled star graphs","venue":"math.GN","work_id":"945c6899-e6f5-466a-8dec-6e6f9cdd9a70","year":2025},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.022177Z"},"links":{"cited_paper":"/paper/2504.02425","citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:6075c6e2543cffddf1af9458f351e2ca9a6626fefd42fb600651d3ad85b79975","observation_id":"2138a37a-a6f6-4731-9c37-454e19c395fd","resolution":{"observed_at":"2026-08-05T14:04:46.413984Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T14:04:52.005252Z","title":"Dovgoshey and A","venue":null,"work_id":"9560a22b-f92d-4012-8899-fee07b0047dc","year":2023},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.086193Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:aed40498e0c2c568cb869e0d8ea746ce76349ee1bc872b5bb00ccb5bd6d4aae3","observation_id":"4adb46c4-12c6-4857-bef7-1cbfc9b9c5f2","resolution":{"observed_at":"2026-08-05T14:04:52.126555Z","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":"2026-08-05T14:04:51.724514Z","title":"Dovgoshey and A","venue":null,"work_id":"b7ee0237-1089-4854-9cab-4b61c250b8b1","year":2024},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.152412Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:b67fd912b347162b36f004c82f8eafc8756ba12f23765ec20f48af5b843c05ec","observation_id":"7eef224c-8e9b-4379-9a6a-d63f4d66deab","resolution":{"observed_at":"2026-08-05T14:04:51.843732Z","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":"2026-08-05T14:04:51.498383Z","title":"Dovgoshey and M","venue":null,"work_id":"dfb19803-824b-441a-8ba5-42ae983bf65f","year":2022},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.220911Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:6d84a3a45ad8d0b7bdc36a7c84239d9660de76172529f192d62b5a2a27e2e72b","observation_id":"7fc30968-6a7d-4f6b-9468-a682e8cd2e41","resolution":{"observed_at":"2026-08-05T14:04:51.607434Z","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":"2026-08-05T14:04:51.189681Z","title":"ActaMath","venue":null,"work_id":"4dc73c62-3703-41c3-a077-5d4ce8cdb421","year":2020},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.285559Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:c0b3f9f4a3ffdbdfba29ab3390079bee80a7e2bdfd1613fbeb9aee9e15d934fb","observation_id":"b80a00c1-8a65-40de-ac56-00e1ebf64822","resolution":{"observed_at":"2026-08-05T14:04:51.353478Z","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":{"arxiv_id":"2506.03853","last_updated":"2025-06-07T17:03:04Z","snapshot_observed_at":"2026-08-07T18:59:44.052218Z","submitted_at":"2025-06-04T11:36:45Z","title":"Labeled Trees Generating Separable and Locally Finite Ultrametrics","version":2},"cited_work":{"arxiv_id":"2506.03853","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.03853","snapshot_observed_at":"2026-08-05T14:04:46.220324Z","title":"Labeled Trees Generating Separable and Locally Finite Ultrametrics","venue":"math.GN","work_id":"b1f278bf-9988-4735-87e8-d9486290ba85","year":2025},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.350299Z"},"links":{"cited_paper":"/paper/2506.03853","citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:acdaccbd85f275a1f0f7c65b7078fa86bf8d10265b6aa6e13d34c5f2c7cbca3f","observation_id":"4b27baac-378f-4617-acd0-6540fc1c7d52","resolution":{"observed_at":"2026-08-05T14:04:46.269633Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T14:04:50.962226Z","title":"Dovgoshey and V","venue":null,"work_id":"bc4d77d3-0028-4314-8bab-49158f1a6448","year":2022},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.417760Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:a8ad6ef28e5795a79c4ee7f952a4f567a165ed580000e021fee78987911f82a0","observation_id":"62d34dc9-273a-4e24-93be-f18a5133aeb9","resolution":{"observed_at":"2026-08-05T14:04:51.028453Z","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":"2026-08-05T14:04:50.785104Z","title":"Dovgoshey and V","venue":null,"work_id":"84d114e9-e8b0-4036-84c1-bb54fb3ffab4","year":2025},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.488020Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:632f6eaf14ecceaa8f328d2b8592ecc014df3318c8807154cb9e4f329cd74118","observation_id":"259fd408-dfe5-4ee6-8e28-70e983eaf5ec","resolution":{"observed_at":"2026-08-05T14:04:50.860393Z","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":"2026-08-05T14:04:50.625316Z","title":null,"venue":null,"work_id":"61afdee3-c08f-437e-9620-8e04e5d02a1b","year":1975},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.554053Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:34a732b034eb9aad0c752aa08c848bd4f8fbe240755d5364afc792e75a932ce9","observation_id":"ac3ceb8c-aa8c-47fc-86e6-5bc30d425f63","resolution":{"observed_at":"2026-08-05T14:04:50.699319Z","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":"2026-08-05T14:04:50.450813Z","title":"Engelking.General Topology, volume 6 ofSigma Series in Pure Mathematics","venue":null,"work_id":"2caadedd-0ca2-4657-a651-b6a9b5b836bf","year":1989},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.609908Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:8a3b1a550ebdd5853f88977d0882f8e0b1a86e6094f2d19dfc9cd7ff6f55d4fe","observation_id":"0701d14f-14cb-43dd-9232-fd74b1a3d2c2","resolution":{"observed_at":"2026-08-05T14:04:50.545808Z","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":"2026-08-05T14:04:50.256494Z","title":"Publ.Math.Inst.HautesÉtudes Sci., 53(1):53–78, 1981","venue":null,"work_id":"5506e749-58f4-47d1-a972-89b65e8c1e1e","year":1981},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.671976Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:cab567e2642718b98796e863eeac08c35faf372707bce315f85169588b979262","observation_id":"1cbe8677-af22-4e41-ae28-795b4a4bbe47","resolution":{"observed_at":"2026-08-05T14:04:50.360567Z","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":"2026-08-05T14:04:50.099017Z","title":"Discrete Appl","venue":null,"work_id":"fc9f948f-ce14-4171-831f-78d16792768a","year":2012},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.750994Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:199643b4729315a07eef72ae7817fa7f1455a3a9eecba71c8c42da64b2331af1","observation_id":"aa32d557-04f9-4dfb-927b-c4f81df58d16","resolution":{"observed_at":"2026-08-05T14:04:50.164244Z","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":"2026-08-05T14:04:49.899248Z","title":"Hausdorff.Grundzüge der Mengenlehre","venue":null,"work_id":"6960fdf0-567a-4168-961d-77d3cf9c5ce5","year":1914},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.817725Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:42d5fc9db248d684636a5da82d743a82d6afd5738a142fab82f338ab8abd572a","observation_id":"2720273f-d734-424c-93da-f3b7c85a8f16","resolution":{"observed_at":"2026-08-05T14:04:49.986869Z","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":"2026-08-05T14:04:49.717384Z","title":"Henrikson","venue":null,"work_id":"39ef7895-2053-4683-90bf-c375c75bd539","year":1999},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.874972Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:6bfd01f1f8d7b7acbf5a68a26e4f94b75f043d92c5cc18a22df7680845bdcf2d","observation_id":"12ecc198-ce07-4f72-8a8a-0ceab8a625a0","resolution":{"observed_at":"2026-08-05T14:04:49.801696Z","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":"2026-08-05T14:04:49.582888Z","title":"IEEETransactionsonPatternAnalysisandMachineIntelligence ,15(9):850–863, 1993","venue":null,"work_id":"58f326ae-3dc3-490c-bf43-832a0c38bdf4","year":1993},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:44.958715Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:265acfe67883270e2b691e91788bfae5ff6c3117bcc384dd599493f387971786","observation_id":"cb92d1f5-0aac-4ff3-b9d4-efa5f8871e5f","resolution":{"observed_at":"2026-08-05T14:04:49.648597Z","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":"2026-08-05T14:04:49.423973Z","title":"Constructions of Urysohn universal ultrametric spaces.𝑝-Adic Numbers Ultra- metric Anal","venue":null,"work_id":"c8d2f8fb-a460-4af3-a02c-ad76290ddc18","year":2023},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.024026Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:dcaeb58bb4b4709644f8730b6db0a5b25c1b6e24829839cd4d8f122c2e50fad5","observation_id":"87e1195c-2be8-423f-ae05-7d8380479e86","resolution":{"observed_at":"2026-08-05T14:04:49.510130Z","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":"2026-08-05T14:04:49.223226Z","title":"Jech.Set theory","venue":null,"work_id":"9769cccb-45bd-4897-871f-f715e54efb18","year":2003},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.095218Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:17fb2d6766058d132f9a38f463445e621f19eef9b7950332d5b3d31643552dd9","observation_id":"aea6aea7-9731-4289-a1c8-b36db99ba90e","resolution":{"observed_at":"2026-08-05T14:04:49.305040Z","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":"2026-08-05T14:04:49.008381Z","title":null,"venue":null,"work_id":"f0d82a60-278f-48d5-9b8d-6319ead9ebc2","year":2023},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.164562Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:22823cb4a7438c45d337dbbce40b7252f59291ea6e75c685f86660eb28aa7f70","observation_id":"a2cf17cb-aaef-467b-80f7-4dbb02f5081f","resolution":{"observed_at":"2026-08-05T14:04:49.098718Z","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":"2026-08-05T14:04:48.830053Z","title":"Lechicki and S","venue":null,"work_id":"c0ffcbdf-8cb0-4e83-9ab6-97361a3d324f","year":1987},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.254300Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:dbdc96edd69d61630ab6255988275f8afbbcd5c7bda3f11b904df50e3175314f","observation_id":"3886baff-2c32-4f62-9862-902fe1a81751","resolution":{"observed_at":"2026-08-05T14:04:48.930073Z","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":"2026-08-05T14:04:48.638337Z","title":null,"venue":null,"work_id":"37a503e4-c4a6-48b2-993f-f86fb7ea4dad","year":2023},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.362894Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:3de23f1c5f248ebdcf7be191c849c52ee7be86ad1d19668cd8c0bc5d5a77c045","observation_id":"64b18e87-d772-482a-836c-9ac842a49d21","resolution":{"observed_at":"2026-08-05T14:04:48.748724Z","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":"2026-08-05T14:04:48.474320Z","title":"Foun- dations of computational mathematics, 11(4):417–487, 2011","venue":null,"work_id":"4594953e-491b-4e91-88dc-00e2bf32c158","year":2011},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.444898Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:78ca82a74833cd0b760b7afa649f4133f91b08130e32424f9b1c17ecdf48c6ea","observation_id":"b57a74bc-9c5b-4193-8fd5-be60b92549c7","resolution":{"observed_at":"2026-08-05T14:04:48.542352Z","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":"2026-08-05T14:04:48.328702Z","title":"Mémoli, A","venue":null,"work_id":"c2d12475-ddb2-4e28-8eb4-2543d82861cc","year":2023},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.521894Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:3a6595b3b9b1cc4771602ef7d915c5764568e1c76a09aae0d24b81a30fe12e08","observation_id":"0ef832f9-6901-4c00-9f91-6cc206b67d82","resolution":{"observed_at":"2026-08-05T14:04:48.380498Z","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":"2026-08-05T14:04:48.098008Z","title":"Protasov and T","venue":null,"work_id":"6485c109-c15f-41d8-b2c0-3fe884cd49b6","year":2003},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.586471Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:331c1c174748701c9eb99f4d7278e59f04d5d7141c638bcde8fb63b7a86d6806","observation_id":"382b8b8d-05d1-4d80-a11c-7565ba064bac","resolution":{"observed_at":"2026-08-05T14:04:48.209049Z","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":"2026-08-05T14:04:47.923738Z","title":"Protasov and K","venue":null,"work_id":"3bf2ce8f-bd48-4f28-af37-924ddc535184","year":2020},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.659085Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:f0a436863c89f5870f1e1929eac3cdcfc1f2024595d1cdba0f4a3b2dce918ba9","observation_id":"226b1429-80db-40a9-bd13-52f4e26cb651","resolution":{"observed_at":"2026-08-05T14:04:47.994291Z","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":"2026-08-05T14:04:47.708957Z","title":"GeneralAsymptopogy,volume12of Math.Stud.Monogr","venue":null,"work_id":"1719f240-d71b-46b8-87e0-5c0e00eea59b","year":2007},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.696722Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:9bcda9485855c36ed36c6b43c117949b415af946c34b48c9a31b552490968e97","observation_id":"90117f9c-5560-498d-8252-93bc46f617d1","resolution":{"observed_at":"2026-08-05T14:04:47.794786Z","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":"2026-08-05T14:04:47.427761Z","title":"p-adicNumbersUltrametr","venue":null,"work_id":"e0ef657b-1556-42b4-a04d-9c6227fdaf1c","year":2009},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.815312Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:9909544ed4bc4ca8580ef543230676ab3903bce05e4f5a90c90aa51f60999dc9","observation_id":"4c25e484-fd77-453a-8024-458f83f915a2","resolution":{"observed_at":"2026-08-05T14:04:47.595025Z","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":"2026-08-05T14:04:47.235005Z","title":null,"venue":null,"work_id":"fde76b33-459d-4ac3-bfc4-6cf5bca1f5ba","year":2014},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.890618Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:2bc9a8270dc91300d9612e5368db5ce8379ad35733ba10002c555a154b28e24f","observation_id":"d4c39763-4a35-4cd2-b78d-a48bed83de86","resolution":{"observed_at":"2026-08-05T14:04:47.315100Z","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":"2026-08-05T14:04:47.064858Z","title":"Springer, Berlin, 1996","venue":null,"work_id":"d1db5e74-366b-4b38-b46b-daee15315f6e","year":1996},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:45.962786Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:7f299c95c6d18d1adc4b2fa95d0de74bbec694dfcab6f322c0fd0df51d98004b","observation_id":"c63deaab-3f76-4b7f-897f-1ce41e2d9980","resolution":{"observed_at":"2026-08-05T14:04:47.146443Z","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":"2026-08-05T14:04:46.834383Z","title":null,"venue":null,"work_id":"56eacc91-dfc5-48b1-8c01-6523bb384fd2","year":1984},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:46.054098Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:459e6387ccb8c219c86555615ca1268964d23b87b953362668b13f2da4a9a230","observation_id":"783eb304-602b-44b1-8930-bad4f0b2d1a1","resolution":{"observed_at":"2026-08-05T14:04:46.946169Z","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":"2026-08-05T14:04:46.747170Z","title":null,"venue":null,"work_id":"224e8500-a776-40b4-95f6-4906c9b3d0a6","year":2007},"citing_paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T14:04:46.123482Z"},"links":{"citing_paper":"/paper/2509.00205"},"observation_digest":"sha256:33315c6047cfa440f14a254f14c46b90bfbb53605266e42ecc64291389145013","observation_id":"5e10ae4d-17d5-40d9-8c9b-4a1b531a6866","resolution":{"observed_at":"2026-08-05T14:04:46.789662Z","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"}}],"paper":{"arxiv_id":"2509.00205","last_updated":"2025-08-29T19:32:12Z","latest_version":1,"primary_category":"math.GN","snapshot_observed_at":"2026-08-05T14:04:41.918866Z","submitted_at":"2025-08-29T19:32:12Z","title":"Hausdorff distance between ultrametric balls"},"reference_resolution":{"displayed":45,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":3,"verified_fuzzy":31},"total_outbound_references":45},"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 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2509.00205."}