{"as_of":"2026-08-12T13:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:24f29bf3d7865a97dfac040a831ec1aeabc29973741b8d832686fdbf82e7a2a2","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T04:17:51.343440Z","state":"measured"},{"denominator":20,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":20,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2606.05377/citation-record","integrity":"/paper/2606.05377/integrity","json":"/paper/2606.05377/citation-record.json","paper":"/paper/2606.05377"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Bena¨ ım","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:ada60f0626ab42f1b1e337be32816bef3e37b368f670176473ea6293cf46c067","observation_id":"099d3bf2-d6d3-4725-9cc5-4d857ef492c3","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Bena¨ ım","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:68ab89347691e9e1d73fc84f13dd6b2e48a89aa3d6a997bb64c6f01690fc9444","observation_id":"5ae74afc-1ce3-4488-897f-d23b52048374","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Bena¨ ım","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:bdaf8104ada505c2535722d5b97207296974beba13235724a92d4a68b7c25d3e","observation_id":"22ebf7eb-2bfa-4a22-b446-5d73144c3be4","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Bena¨ ım, O","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:e3b4ab4db82db4e2d1e87707cfc60964de598eec95d33eb1f6214da2b8fa9861","observation_id":"2b88d5b3-571a-484a-aa02-118348519436","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Bena¨ ım and P","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:a82f8b5bbd74d6b0cfeb9c51ecd016f395a6571ff43168e32b867862b26c973e","observation_id":"2eab7319-082d-44f7-b350-42744a92f527","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Coppersmith and P","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:60e13ba56e5f4f1a33d743d8e0e380d598092e88131f02fd85d5d468bfe19694","observation_id":"3e0eb621-8db6-4aab-b412-46fe4e8331cb","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Cotar and D","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:2079c4369b8f8665b725455362318fde08f1305a7dca272c20c126c63ea3b0f7","observation_id":"359c6b76-4d2d-4e52-9e7c-8d85e40d660c","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":null,"venue":null,"work_id":null,"year":1969},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:5a1aa6d275fbad3fa318c5a2025ba1cf9ea3e45baa27d9bdc3111bde07798973","observation_id":"6357f0ef-13f3-4275-804c-15b21f799f50","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"M´ etivier and P","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:d02b61f4f290c3cbb8fd12155cbdeb102a6de42c2c635b3f9d9ce9749a3a7f59","observation_id":"601fdad5-b0c3-470d-9bca-761d1c493e0b","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"M´ etivier and P","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:1d4cd84f132ca9136111d03a9cc108af8e76bc237ff8e1c19ea258616b498075","observation_id":"a9d8ea16-0a8d-4031-9c8d-e0f9ff8b933a","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Maxwell and M","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:ca930348df68274ddd0a151205470a9ae7621565d9a8a96616767734d454bd16","observation_id":"f4722a47-1b25-4bdb-9e47-5716ef541fb7","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Pemantle","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:22ae37bcf9ae52612bf49e1482bde6a9065992c39d695888f7a27c8a48e606ec","observation_id":"a083dc94-20e4-4a89-b7c1-53c75e6a635c","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:54d383c07258cc1db466c301aeb21ac2184f9a8ed561bbac6153d66c838ba0e6","observation_id":"dd80a4ed-8c6d-4634-8659-424a25b03684","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2508.15992","last_updated":"2026-06-26T14:34:19Z","snapshot_observed_at":"2026-08-10T13:48:45.782364Z","submitted_at":"2025-08-21T22:26:08Z","title":"Interacting vertex reinforced random walks on complete sub-graphs","version":2},"cited_work":{"arxiv_id":"2508.15992","doi":null,"metadata_source":"pith","pith_arxiv_id":"2508.15992","snapshot_observed_at":"2026-07-02T11:16:53.921080Z","title":"Interacting vertex reinforced random walks on complete sub-graphs","venue":"math.PR","work_id":"37aee883-a8d2-478b-bd79-7feecb73d44c","year":2025},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"cited_paper":"/paper/2508.15992","citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:b97e230766c99455afe4f23c11a198f1f38fc78dd0c6b2ce4620fa1ecdfcb4cb","observation_id":"cee3b76f-0d10-44dc-bca4-093aaafc0875","resolution":{"observed_at":"2026-07-02T11:16:53.627794Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Pemantle and S","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:65d6aaefb67a1fd81eb289e799e44e517c26b6719fe0d6fde3b60e701c9d7388","observation_id":"5895a23d-f374-435f-bed1-a11c59cba3de","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:3374b2d632ee121c29a40878ae7c9404db79c62a74dfc16ad1830421806e4f72","observation_id":"74ab415a-cd7b-4638-a177-e30cdd48b66a","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Seneta.Non-negative Matrices and Markov Chains","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:9a1da91e331470b414b4118450da62726cebbede9b642b6532bbc3262927ba3f","observation_id":"9b89d876-fa11-46cb-a71d-b5fb8319dcfd","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":"Tarr` es","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:f4daf34be8df9aefcf0318b3f2570c3c20265307c57ffeac10b7210903b5b2a9","observation_id":"ea788fc9-6580-4b4b-892a-1f764c7681c9","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:654f7e39d3b1cf507d2947285fa697a08d060d7972ae84f24b6c8e80ff08ab3d","observation_id":"ff558f21-9f2b-45e9-80fe-eba00e14ea1f","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T04:17:51.343440Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-28T04:17:51.343440Z"},"links":{"citing_paper":"/paper/2606.05377"},"observation_digest":"sha256:e2770ff8f9c7df489f9c1cdc18c16ddd2a7243336b3f4d4719bf5742f2aff5b2","observation_id":"55f53d08-eec6-4303-8a3f-d294d3972bf0","resolution":{"observed_at":"2026-06-28T04:17:51.343440Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.05377","last_updated":"2026-06-03T19:26:57Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-04T06:23:38.270178Z","submitted_at":"2026-06-03T19:26:57Z","title":"The Clark-Kushner condition for interacting reinforced random walks on finite graphs"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":1,"verified_fuzzy":0},"total_outbound_references":20},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2606.05377."}