{"as_of":"2026-08-19T00:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8ee75e767ebdf8b1347c7cf606a528c1d32e232b8773e870ef84647601a0863b","coverage":[{"denominator":15,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T04:31:37.891203Z","state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/2506.10511/citation-record","integrity":"/paper/2506.10511/integrity","json":"/paper/2506.10511/citation-record.json","paper":"/paper/2506.10511"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T04:31:40.093885Z","title":"Alessandro and S","venue":null,"work_id":"97d3102c-5093-4256-83e9-709d4e577fa0","year":1997},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.038060Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:c91d9ab4877e7d9ad67ae0bfe3becde8030355e1de2b9a9f8a5c9fcbd5a7aa73","observation_id":"7cf55b63-5722-4b71-9460-8cefc4b2e30c","resolution":{"observed_at":"2026-08-07T04:31:40.195546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:39.847992Z","title":null,"venue":null,"work_id":"7abcc96c-aeb0-40f1-919c-67df222a3f16","year":2023},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.113303Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:d3ce1617dfffaf126c69ee626552117b579ef5a6f29a3bc7e317606618cbf3d8","observation_id":"6360526d-5eb5-4ceb-9f95-76179753144e","resolution":{"observed_at":"2026-08-07T04:31:39.985291Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.14352","last_updated":"2025-09-09T21:42:37Z","snapshot_observed_at":"2026-08-18T20:13:18.955286Z","submitted_at":"2023-11-24T08:53:07Z","title":"The polynomial growth of the infinite long-range percolation cluster","version":2},"cited_work":{"arxiv_id":"2311.14352","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.14352","snapshot_observed_at":"2026-08-07T04:31:38.128388Z","title":"The polynomial growth of the infinite long-range percolation cluster","venue":"math.PR","work_id":"e9961114-1d88-4ecb-a57d-6b7cd0be0a63","year":2023},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.157028Z"},"links":{"cited_paper":"/paper/2311.14352","citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:d1e6a6026b58f46aa67fe9005375fc1f3b21592b10f961eccbe26104f788f58f","observation_id":"c1c78f2c-2225-4e54-a884-c8d087be454a","resolution":{"observed_at":"2026-08-07T04:31:38.168091Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:39.663248Z","title":"Coppersmith, D","venue":null,"work_id":"abc38c0b-6b7a-41c0-aee6-0b72a7aeaea0","year":2002},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.187931Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:f6bc9dec116e075fd9a21b42ba1a9d86ae33a4d632ccdb221a614a11e7b048c4","observation_id":"a4d9d919-e154-445a-9667-45e6e977c31c","resolution":{"observed_at":"2026-08-07T04:31:39.741612Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:39.539167Z","title":null,"venue":null,"work_id":"046eb3df-19bb-4a33-8520-1f79237652f8","year":null},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.264558Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:258ac18a01cda1255602fc28e4a38d140542f364555e1c7e7b87be75dc1830e2","observation_id":"1d87a77a-4e66-4640-8a70-4cdd6596631a","resolution":{"observed_at":"2026-08-07T04:31:39.622823Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:39.327656Z","title":null,"venue":null,"work_id":"fc3decb5-8f10-4677-b898-cc80979295c9","year":2025},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.321052Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:5c82625f26ddffa0e2235c0c63ebad9a9bb6ddb157f6e1b832782ae95102c675","observation_id":"aa4874ed-66ee-48e3-ad25-c85825b190b2","resolution":{"observed_at":"2026-08-07T04:31:39.469909Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:39.188053Z","title":"Ding and E","venue":null,"work_id":"4b493d2c-601e-496a-af28-ba53b948305a","year":2023},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.376422Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:8babc6353a6f8d21b3590ad86cd3aa2d4bbfad417d9e05c6a2e8e596afa669c9","observation_id":"c535cb34-45be-46d0-ade4-92bfdc294b84","resolution":{"observed_at":"2026-08-07T04:31:39.240590Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1303.3995","last_updated":"2015-11-07T17:54:35Z","snapshot_observed_at":"2026-08-15T00:24:57.569526Z","submitted_at":"2013-03-16T16:14:05Z","title":"Distances in critical long range percolation","version":2},"cited_work":{"arxiv_id":"1303.3995","doi":null,"metadata_source":"pith","pith_arxiv_id":"1303.3995","snapshot_observed_at":"2026-08-07T04:31:37.953492Z","title":"Distances in critical long range percolation","venue":"math.PR","work_id":"7949ab24-ef68-4f69-a3d5-4e2aaa234beb","year":2013},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.444697Z"},"links":{"cited_paper":"/paper/1303.3995","citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:9e3aaef3e064071215922c69f983bcafd1237b6cea4518b2b40fc4b13a631090","observation_id":"09133dd6-d4c3-443a-817a-dd3dd7028294","resolution":{"observed_at":"2026-08-07T04:31:38.026317Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:38.956383Z","title":"Ding and C.K","venue":null,"work_id":"95a438a4-8fee-4eca-8acd-db9fe8ee6acb","year":2020},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.508774Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:00b0a7cca3bc37a6d789fc89322e97268bf7b51c1c1b513b461e589146e3a731","observation_id":"6a87467b-1562-4adb-be43-3067f48a6dba","resolution":{"observed_at":"2026-08-07T04:31:39.102874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:38.835159Z","title":"Gallo, N.L","venue":null,"work_id":"be58c4a5-d2e2-4dba-a2dd-66b36aaa66eb","year":2014},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.551135Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:15f0dcbb1e138450e5d1bab935dee85f4a1a500d0b001cba932caaf8b39c7819","observation_id":"eb7effac-7c19-4d4f-a9b3-48a4ee665793","resolution":{"observed_at":"2026-08-07T04:31:38.902170Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:38.714683Z","title":"Gwynne and J","venue":null,"work_id":"6bf35fa6-83a0-4e94-9b84-5f670da7e7d6","year":2021},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.620026Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:fe493ad21d77ff9e253d8bd970ab7014c203ba29662a8a6a86e794367e796e95","observation_id":"42087828-5835-4ecc-9c3a-7ad8556c08e2","resolution":{"observed_at":"2026-08-07T04:31:38.763550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:38.568133Z","title":null,"venue":null,"work_id":"7421b28e-0da8-4843-99e2-b792e0462398","year":1966},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.676650Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:b9f9091b37bc95feee13a709c8fe5949a17fa0c620a2f7a1e3bb285263d1f4d5","observation_id":"c7c3e1f9-d93e-4fd8-b193-64b4491531ee","resolution":{"observed_at":"2026-08-07T04:31:38.651398Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:38.474449Z","title":"Cambridge Series in Statistical and Probabilistic Math- ematics","venue":null,"work_id":"d86109e0-d861-4a7f-9286-82b15929f945","year":2010},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.708664Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:b1bfdaabf08533ac4349fb2fc4d24d58d1638c1ba634fe91a0982a5e74995ca9","observation_id":"2a0e878f-53c0-4988-9510-2aede53682a3","resolution":{"observed_at":"2026-08-07T04:31:38.510473Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:38.390769Z","title":"Russell and K","venue":null,"work_id":"efaee7d4-684a-4146-985c-eb3d3192d737","year":2010},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.818185Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:c58db9fc5bc73e02381f5d782e440059eaed154f99d78547925c8e105ec1d47f","observation_id":"9320cfc7-96dd-443f-b43b-6faf1c97b898","resolution":{"observed_at":"2026-08-07T04:31:38.424169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-07T04:31:38.256485Z","title":"van den Berg and H","venue":null,"work_id":"993469b8-0fd8-4ee0-9b8b-df160d7d0fe1","year":1985},"citing_paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T04:31:37.891203Z"},"links":{"citing_paper":"/paper/2506.10511"},"observation_digest":"sha256:3a7b605b2b33fe971cef928027d902ca1486206243d411b2079f0b5b041d63df","observation_id":"f1265506-0fa9-4046-ad30-8bb02f4ec53f","resolution":{"observed_at":"2026-08-07T04:31:38.338757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.10511","last_updated":"2025-06-12T09:19:33Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-14T23:52:53.901835Z","submitted_at":"2025-06-12T09:19:33Z","title":"Uniqueness and dimension for the geodesic of the critical long-range percolation metric"},"reference_resolution":{"displayed":15,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":2,"verified_fuzzy":9},"total_outbound_references":15},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.10511."}