{"as_of":"2026-08-20T11:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0bee7517bd1669bc76b25c83eeb5959f29e56a0de30f932113bb5a6e55cb6f92","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-08-20T06:33:59.587034+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":"2026-08-15T22:35:00.648885Z","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":"2026-08-15T22:35:00.895088Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"cited_work":{"arxiv_id":"2606.26594","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.26594","snapshot_observed_at":"2026-08-15T22:35:00.895088Z","title":"Bricks in which every vertex is incident with a forcing edge","venue":"math.CO","work_id":"8eadec29-e4fe-481c-91d7-755eb7159fc9","year":2026},"citing_paper":{"arxiv_id":"2608.12832","last_updated":"2026-08-13T05:10:49Z","snapshot_observed_at":"2026-08-20T04:28:21.896969Z","submitted_at":"2026-08-13T05:10:49Z","title":"Bricks that every removable edge is solitary","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T22:35:00.648885Z"},"links":{"cited_paper":"/paper/2606.26594","citing_paper":"/paper/2608.12832"},"observation_digest":"sha256:17e3562fd3404fa15338e400dd03dc04acbe725fc7176b4ea648f94dba6eaa22","observation_id":"96086bf5-88f6-4880-8524-e5b11ba78a52","resolution":{"observed_at":"2026-08-15T22:35:00.903123Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2606.26594/citation-record","integrity":"/paper/2606.26594/integrity","json":"/paper/2606.26594/citation-record.json","paper":"/paper/2606.26594"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T04:43:18.005599Z","title":"Adams, M","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:5491699feefa1188a0015535c20926b3fe2427493617bff590755a0781aa6210","observation_id":"bdf79404-d397-4b59-8dc2-c39b07fa6354","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Carvalho, C.L","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:0ae9efd0aec8df4afa5f393a32f54496736a4a356f04095b45f538000c993edb","observation_id":"c5355a87-4691-45b0-8066-24dd401f80c9","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Carvalho, C.L","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:7e62170b387c5ee606cdf99698554a6f24391e758b6482f514a69bc20379e8ad","observation_id":"9a38ff16-6c39-49ec-91f6-20ff951f013b","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Goedgebeur, D","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:e5bc6c8755bdb1ea5350e0145294e3ea8569a5c9e813f3522ab3b683f50d6c7b","observation_id":"491e42f8-83cb-4930-b4ef-ecc5ab2d7622","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Harary, D.J","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:f310c1c877de62f70de3a8ac57e157960c53c5e6ab9d6a82d982a6f7234fc939","observation_id":"cbeae9ae-1087-4a8c-a876-21a5ec76086d","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:abb319c412a2a0382ae33cb226aaa9c1d48c9d19f82eb671e9ec93bca9e361c8","observation_id":"b62d60ba-eb22-47af-a55c-c647aecfd542","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Jiang, H","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:53e4509ceadeb4d6870cb3abdaccf20c0a12555be3b699959c91aa66ab44b776","observation_id":"b5af2673-1674-4ecf-a1b2-415d810e5944","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Klein, M","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:45bb774a2a46b0718591ae6754d4edb4be46a2e5d8b83e8edbfb61051ecd9897","observation_id":"687d0464-3783-4eb7-b7f2-93964596a53a","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Lov´ asz, Matching structure and the matching lattice, J","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:8d48e730c4f9f61772e2059912141714bdab53d63ef157637677f9dd646738ac","observation_id":"3c976aab-d94a-4b7d-956a-3f37fb877c31","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Lov´ asz, M.D","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:88c9bc2f321bc8543aef9da2ef56003641995cbb041fccce2596ef514c19b3bf","observation_id":"6e49165f-c935-4515-a786-3c272da9327b","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Lucchesi, U.S.R","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:6cae5e8021543f19db83e7dbe6f124888c5cf0aeebbbb384d110bb5bf7fa71ce","observation_id":"00c165b9-e99b-4778-9dea-42dcf7df943c","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:0a10b458836278212ea6315155c3b27d115e527cbcf02209de656083431458d6","observation_id":"11f88882-3375-49d0-bd1e-6db676221f66","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Zhang, X","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:87aa79d5272c065ebdbfd21a96de20d16b7824f00124a1cdafa25f26e96947e4","observation_id":"0f69fa23-d473-4876-ac2c-8265b1c4bc6a","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","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":"2026-06-26T04:43:18.005599Z","title":"Zhang, H","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-26T04:43:18.005599Z"},"links":{"citing_paper":"/paper/2606.26594"},"observation_digest":"sha256:e20821507815a479793c0cb5760ba0329853f50e070eac68ab8ffb8c65d98611","observation_id":"96f7634f-9151-4d4f-8461-a1e8d2283b98","resolution":{"observed_at":"2026-06-26T04:43:18.005599Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.26594","last_updated":"2026-06-25T04:39:17Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-19T22:33:29.210843Z","submitted_at":"2026-06-25T04:39:17Z","title":"Bricks in which every vertex is incident with a forcing edge"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":14},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2606.26594."}