{"as_of":"2026-08-13T18:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e3750d33069ba1c4dcc1dc5de304ce8743a6796fedd091adbd4d73fdcf6234f6","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-08T02:34:26.090561Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-10T17:38:19.230508Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T17:47:25.477498Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"cited_work":{"arxiv_id":"2604.24462","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.24462","snapshot_observed_at":"2026-07-10T17:47:25.477498Z","title":"Separation profiles of free products","venue":"math.CO","work_id":"e3167d66-531b-4b14-82f9-ade2d378735f","year":2026},"citing_paper":{"arxiv_id":"2607.07809","last_updated":"2026-07-08T18:00:45Z","snapshot_observed_at":"2026-08-10T05:43:09.798683Z","submitted_at":"2026-07-08T18:00:45Z","title":"Separation profiles of hyperbolic planar and apex-minor-free graphs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-10T17:38:19.230508Z"},"links":{"cited_paper":"/paper/2604.24462","citing_paper":"/paper/2607.07809"},"observation_digest":"sha256:5ea1d29f1caa1ede11a1b79061d7c618e25e789542443224ba8042294e49dd10","observation_id":"73c4c3cf-e60b-4b70-b96e-3aace65ac1e4","resolution":{"observed_at":"2026-07-10T17:47:25.479168Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2604.24462/citation-record","integrity":"/paper/2604.24462/integrity","json":"/paper/2604.24462/citation-record.json","paper":"/paper/2604.24462"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Bodlaender","venue":null,"work_id":"5db01dfd-65be-4694-bdcf-cb30f17cca46","year":2006},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:1e27ec2357500ad85b9bf53fbadfe58826a1c52a51fe86f24487d43d6e62a1d6","observation_id":"674ad033-a204-4a33-9445-9e0c58ad20ef","resolution":{"observed_at":"2026-05-26T22:58:12.265916Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"On the separation profile of infinite graphs","venue":null,"work_id":"856efc80-f952-4ead-ae91-a7cd9d71d363","year":2012},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:b7a503a2ea208ca145fcae1637b278afa8d866318541c8109b7e6e40ce00b078","observation_id":"46ea28fb-b63f-4557-a63c-a260c48134df","resolution":{"observed_at":"2026-05-26T22:58:12.262949Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.04709","last_updated":"2021-01-13T12:09:03Z","snapshot_observed_at":"2026-08-08T23:04:25.248129Z","submitted_at":"2020-07-09T11:13:48Z","title":"Poincar\\'e profiles of lamplighter diagonal products","version":2},"cited_work":{"arxiv_id":"2007.04709","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2007.04709","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Poincar\\'e profiles of lamplighter diagonal products","venue":null,"work_id":"c03e0794-1591-45bf-9ed5-74295ff4d3ff","year":2007},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"cited_paper":"/paper/2007.04709","citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:d53a22d5f653c0156d91124145aacee0e094dbd530dfc85f076b4aff901514e3","observation_id":"bb99d0a4-faf8-425e-8b55-39d7d45acb44","resolution":{"observed_at":"2026-05-11T22:41:41.086151Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"Tree-graded spaces and asymptotic cones of groups","venue":null,"work_id":"2b104424-9b84-48e4-812c-84d6a584474d","year":2005},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:796ed69e7f49d8531995f035795e2fd8c9504c7af882393832f58ba55a4400e7","observation_id":"c9d9cd2f-ca35-48b4-8e27-36a824eacbb6","resolution":{"observed_at":"2026-05-26T22:58:12.259517Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"Treewidth of graphs with balanced separations","venue":null,"work_id":"6ae142d9-9bd8-464e-a2a2-70109fb1d243","year":2014},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:2143c29b416d9655c911f550f1db5149f91dd3f5b020e6a9fa0ecf8a81ab017b","observation_id":"3fd6e3b0-fa08-4998-954b-a4f7760ba468","resolution":{"observed_at":"2026-05-26T22:58:12.238290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"Separation profile, isoperimetry, growth and compression","venue":null,"work_id":"1139a993-6e5e-43ad-a5e8-9993234b90fb","year":2023},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:1f98739fe485d730ce6f77ccb59f31413a8d9c18b3e49b0cd6d7b0a7c1bf57cb","observation_id":"6bb23d13-b2b0-4e36-9112-933e6fb2c75a","resolution":{"observed_at":"2026-05-26T22:58:12.243345Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"Separation profiles of graphs of fractals","venue":null,"work_id":"abde87aa-0d73-4991-9f7e-ec3f6f539277","year":2021},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:68922c467df7456552f1de5d8c81da59d221272e3b46acaa6eebe7c0af1f2243","observation_id":"04d29856-562f-40f3-9383-a9842fdbf112","resolution":{"observed_at":"2026-05-26T22:58:12.252378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.07015","last_updated":"2024-05-10T08:21:16Z","snapshot_observed_at":"2026-08-13T05:04:30.501339Z","submitted_at":"2023-12-12T07:01:35Z","title":"QED corrections to the thermal neutrino interaction rate","version":2},"cited_work":{"arxiv_id":"2312.07015","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.07015","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Kelly, and Ryan Lam","venue":null,"work_id":"3ccd94c5-8193-4b9b-befa-d454afa097e4","year":2023},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"cited_paper":"/paper/2312.07015","citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:2594739cd6593b13d7acb2d229d544ff526998505f977bc84b545166a0c3bb9a","observation_id":"a7c6b8bf-0dd6-470b-bd1e-5a0e49f1a117","resolution":{"observed_at":"2026-05-11T22:41:41.171339Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2511.10469","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"712d293b-a5d5-4259-b08c-a5cc53d25a30","year":2025},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:c58d1f6289c674e6c812f989da2a0c1b9a097796f6b4321a93d2c7f3d094d7f4","observation_id":"c7e6a089-d214-4bc6-81da-d7dcf6203363","resolution":{"observed_at":"2026-05-11T22:41:41.185030Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"Mackay, and Romain Tessera","venue":null,"work_id":"862ba93e-978b-4fa6-a764-a7614f4db5ea","year":2020},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:5a1a9bb9e74e011cbcdeaad05f9322d05d89f262046de71328167692b3fe89e7","observation_id":"f8e7c2a6-7bba-441a-bd9e-8eaedef068f9","resolution":{"observed_at":"2026-05-26T22:58:12.234352Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"Mackay, and Romain Tessera","venue":null,"work_id":"7a856d69-d670-4c3d-bebd-6210cce90db7","year":2022},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:78c70a341a01ca5d40c9b8d24a3a3ca6c370452275ee997ac0f66ff70025553b","observation_id":"ec19cb1a-277b-432c-878a-8a207e265e53","resolution":{"observed_at":"2026-05-26T22:58:12.230110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":"Quasi-isometries between groups with infinitely many ends","venue":null,"work_id":"555a6002-f156-41fe-84c7-168df0e6c981","year":2002},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:ba4fca16759a1acaa5cfe1cf91d6f4bd0472cb9bc39d9ad4ab27e146dbe52661","observation_id":"d33b16fc-780a-479e-bce5-907ebec24278","resolution":{"observed_at":"2026-05-26T22:58:12.248545Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"67341f18-0e2a-4d6b-a33a-410fc27193a5","year":1986},"citing_paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-05-08T02:34:26.090561Z"},"links":{"citing_paper":"/paper/2604.24462"},"observation_digest":"sha256:0d0b0e8911df1db675c06ad9520d09ef7dd8170ceb21b7c4766327c19a6cd365","observation_id":"426b6956-edd3-4988-8879-4a92838bb2c9","resolution":{"observed_at":"2026-05-26T22:58:12.255803Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.24462","last_updated":"2026-04-27T13:30:24Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-07-31T16:52:59.249906Z","submitted_at":"2026-04-27T13:30:24Z","title":"Separation profiles of free products"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":3,"verified_fuzzy":9},"total_outbound_references":13},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2604.24462."}