{"as_of":"2026-08-23T19:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:acc9984ebf1fdfc3c6790956046e3932b2b9ad5bfec66cd20c239af4eb4a7521","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T08:02:46.219486Z","state":"measured"},{"denominator":16,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":16,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+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/2607.10961/citation-record","integrity":"/paper/2607.10961/integrity","json":"/paper/2607.10961/citation-record.json","paper":"/paper/2607.10961"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T08:02:46.219486Z","title":"Bleak, M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:c3ed813f1f8c12d5ea5b74d7475e650e643d177e6b8a55e0628405ad90e972f4","observation_id":"a452c65d-b8fc-4672-9343-d76094711122","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":"Bleak, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:fd08ee0f446df0b4c9eb585de3276695aebca89108344edbb1b73bfcd6a18037","observation_id":"cd5cc788-ef77-408a-88a3-c05d7033c03d","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:d1315d4da0a3e2a281b01d437fd6c9905e0dbcb673d5879e1ce9b509fe8af19a","observation_id":"2f9deee5-13da-44e6-bfa7-1a5bfa8e1572","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.16868","last_updated":"2023-03-29T17:25:43Z","snapshot_observed_at":"2026-08-23T12:58:48.572534Z","submitted_at":"2023-03-29T17:25:43Z","title":"Pseudo-$F_4$ is isomorphic to $F_4$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.16868","snapshot_observed_at":"2026-07-14T08:02:46.219486Z","title":"Belk and L","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"cited_paper":"/paper/2303.16868","citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:f76e29e03700a621b4e82f9bdb3f2e33597d111e729df9163673850fe055a4e9","observation_id":"1eac39cc-d698-46ba-ae04-46ce4b3c1771","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":"Burillo, K.-U","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:e31f4a11d1345e62f3283950b3588e42be37fc3efadcd974f881e6d0c1c6693e","observation_id":"2e08f985-b257-42d6-a8b3-aa4a8297c000","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:002d4073a4ff50f4b768047514e3843d80fe6e94bc805b817ecb4905b9082dc2","observation_id":"76f98bbe-2ed9-497a-9b27-cc274e41f527","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:95d83a948b11225acfb55d8560527c47cba69d0b80bbb5a3d00228d520db49ae","observation_id":"ba9443c9-e302-4979-8aab-6e800184c96f","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:9f53a31afe2cecd6b9bc5657bcf3dcd9292f84c855b0580efcfc60d9da58c844","observation_id":"584a334f-3492-412f-9285-cac8a3ebfb70","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.00863","last_updated":"2026-05-30T19:29:13Z","snapshot_observed_at":"2026-08-22T04:44:40.393543Z","submitted_at":"2026-05-30T19:29:13Z","title":"On the generation problem in Thompson's groups $F_n$","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.00863","snapshot_observed_at":"2026-07-14T08:02:46.219486Z","title":"Golan and E","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"cited_paper":"/paper/2606.00863","citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:2fa2f79813fecb574ff5ba5ee9324d9e1d2ad30393d0c34064d2ef07510dc832","observation_id":"86fe50b7-f4e1-484f-ad7e-39e37c3af1f7","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.04038","last_updated":"2026-07-04T21:53:37Z","snapshot_observed_at":"2026-08-23T05:45:53.651078Z","submitted_at":"2026-07-04T21:53:37Z","title":"Higman--Thompson groups $F_n$ all the way down","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2607.04038","snapshot_observed_at":"2026-07-14T08:02:46.219486Z","title":"Golan,Higman–Thompson groupsF n all the way down, arXiv:2607.04038 (2026)","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"cited_paper":"/paper/2607.04038","citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:b28d9bb2bef4b3e0aca14c114b5b265178d4134b5bd6b6e5a5b9cf4a5eff8423","observation_id":"0ceebd83-68e2-4bb3-96d2-08ec31480010","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":"Golan-Polak,The generation problem in Thompson groupF, Mem","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:d1939f92a2ce22c509012b74b4ea5b4b61bb0113697009ec67b83e2812168c74","observation_id":"89f921fd-ab7a-41da-a7f4-523c5660ce80","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":"Golan and M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:8c9d69c39a7208c14e0c32219a7bd0496933392556881817e21052b5d3b3b9d8","observation_id":"7691ad84-5c8d-4568-87ad-bd062a51011f","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":"Guba and M","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:e91e5e6870e9ee7da498906abf45eb32cef517422c0d018b44889828de06e161","observation_id":"276c7493-5f18-4a88-b0ef-9cafa1f6725a","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":"Guba and M","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:356fd8f8fbad41c0875188aadba9d54b8087b422e35f984f818d764115306eca","observation_id":"7e4f7a0b-1453-45f5-970d-2edd006d6726","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":"Guba and M","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:7cfcad8fb8f28b2ce0444b63279a721c6856a42c1a8c6bff83afcd2a56abdd2a","observation_id":"970f62ec-a56a-4fe0-8919-b974af8a0083","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","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":"2026-07-14T08:02:46.219486Z","title":"Kilibarda,On the algebra of semigroup diagrams, Internat","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-14T08:02:46.219486Z"},"links":{"citing_paper":"/paper/2607.10961"},"observation_digest":"sha256:3f6712087e28fbdb130693a639fef77ec5a684a741c66573e2185452633cd936","observation_id":"badd5cee-296c-4625-bdf3-11c9c9a12816","resolution":{"observed_at":"2026-07-14T08:02:46.219486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.10961","last_updated":"2026-07-12T23:55:48Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-18T06:29:22.076630Z","submitted_at":"2026-07-12T23:55:48Z","title":"Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":16,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":16},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.10961."}