{"as_of":"2026-08-21T16:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6cb855a8ea862d01b0546374b2f97b7c4ab19c29402a5b8f63e5d0ffb5a57589","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:30:55.865543Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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/2608.01504/citation-record","integrity":"/paper/2608.01504/integrity","json":"/paper/2608.01504/citation-record.json","paper":"/paper/2608.01504"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:30:56.099094Z","title":null,"venue":null,"work_id":"6778be9b-e550-4dc2-8c0f-5154be94400d","year":2026},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.806776Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:be3da84516a377530268d0a0ab7856831f8d90c5f8527c0b6fd03274bfcc9908","observation_id":"f59c150e-fcf8-4ba7-b59a-788db74befb9","resolution":{"observed_at":"2026-08-15T15:30:56.102558Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.27751","last_updated":"2026-07-30T06:46:28Z","snapshot_observed_at":"2026-08-10T00:14:44.930665Z","submitted_at":"2026-07-30T06:46:28Z","title":"Exotic knottings and symmetries of surfaces in 4-manifolds","version":1},"cited_work":{"arxiv_id":"2607.27751","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.27751","snapshot_observed_at":"2026-08-15T15:30:55.930438Z","title":"Exotic knottings and symmetries of surfaces in 4-manifolds","venue":"math.GT","work_id":"60cae268-78fc-4460-8404-ed6edb51c62a","year":2026},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.810968Z"},"links":{"cited_paper":"/paper/2607.27751","citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:08688c37bb415d5ea92cf04683ed49ac0e2ae74fb9e315d5fe6f49445805bdea","observation_id":"4c9c1a3a-6560-4e0b-a5ae-ee031047dfff","resolution":{"observed_at":"2026-08-15T15:30:55.934488Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:56.087954Z","title":null,"venue":null,"work_id":"910073ac-2764-4f8c-8f09-dc3db0aa3428","year":1990},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.815360Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:f110d6d0b653c362712fc93b89ee266cc113b1fdf0510dc12b409c66551de7c8","observation_id":"326ba1ac-c388-4328-b163-3ab1e75fa8fb","resolution":{"observed_at":"2026-08-15T15:30:56.090998Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:56.077296Z","title":"Fintushel and R","venue":null,"work_id":"fa327f31-115f-46c6-baef-513b35014705","year":1997},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.818751Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:ad682574d9c202188303bca2526c01cf63ac51892c39cf638e3e43d8838ca65d","observation_id":"c5a771e9-6ca1-4a7e-931f-2f1bc441bcb5","resolution":{"observed_at":"2026-08-15T15:30:56.080466Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:56.067195Z","title":"Friedl,Realizations of Seifert matrices by hyperbolic knots, J","venue":null,"work_id":"8a942842-e767-4579-9b17-6a1bd9518026","year":2009},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.822514Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:d34489a2101824e8881b71e8456ce6bc509244a5b1b05507e745e53001efefbf","observation_id":"b3065afd-bf7f-4dec-8c85-07c6a4da5e4c","resolution":{"observed_at":"2026-08-15T15:30:56.070505Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:56.055976Z","title":"de la Harpe and C","venue":null,"work_id":"9a032624-93a1-40c2-871a-9f399fb51075","year":2014},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.825792Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:46b41e192a75214e7aba940e9a177f868d6e22f40df6fa575e6324f0c64dc681","observation_id":"3bfa44ae-4d17-4615-8281-7186a34d3150","resolution":{"observed_at":"2026-08-15T15:30:56.059345Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:56.044466Z","title":"Hatcher,The Kirby torus trick for surfaces, Enseign","venue":null,"work_id":"9a30e2c1-ac72-48e7-8403-dfb0f8d03e07","year":2026},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.829801Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:1476ec02385a24431dad1f4eb55a78b603e2d29d6d9b024f11a5135d71ad1b5c","observation_id":"e02b32e3-123d-4033-ad2b-74e7aa9d14d2","resolution":{"observed_at":"2026-08-15T15:30:56.047940Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:56.031544Z","title":"Hirose,On diffeomorphisms over surfaces trivially embedded in the4-sphere, Algebr","venue":null,"work_id":"82e2b8ad-3c52-4bbe-b2c0-6ab256ec80c3","year":2002},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.833469Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:0778c3587a156a4e7ad903d9f61cb43d1456e535b92aed625ac673db3d6b9415","observation_id":"fca0954a-b719-4fff-a759-61e4c5163fa4","resolution":{"observed_at":"2026-08-15T15:30:56.036951Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:56.018999Z","title":"Hirose and A","venue":null,"work_id":"6a4a390e-3ce7-4ba6-92de-276d19d1a256","year":2008},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.836773Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:a402f5f7db38f2d8f28ebb9ded616c41c2071b0648c64f45616dc1365e348668","observation_id":"286fe27e-60d1-4aa5-818d-11e34d209237","resolution":{"observed_at":"2026-08-15T15:30:56.023056Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:56.004625Z","title":"Kalfagianni,Alexander polynomial, finite type invariants and volume of hyperbolic knots, Algebr","venue":null,"work_id":"4666f6df-c725-4006-9c71-c606388bab4c","year":2004},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.840273Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:ff78b78c1e2bdba1a4e2cd5fbfe84c6ebc449c57036577fcc0c044772ad64d18","observation_id":"694ab728-c90d-4fa2-8b23-7b40c00c1f58","resolution":{"observed_at":"2026-08-15T15:30:56.009413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.17640","last_updated":"2025-02-27T10:14:43Z","snapshot_observed_at":"2026-08-16T12:55:35.175921Z","submitted_at":"2025-02-24T20:38:35Z","title":"Surfaces in 4-manifolds and extendible mapping classes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.17640","snapshot_observed_at":"2026-08-15T15:30:55.843720Z","title":"Lawande and K","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.843720Z"},"links":{"cited_paper":"/paper/2502.17640","citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:02c88f590a07def5c27b5e6cc0d01b197fadb7b1ae5b1baad83c5cd95d0f21b1","observation_id":"cce82c81-c5dc-4bae-bc9e-14fe4aae6f44","resolution":{"observed_at":"2026-08-15T15:30:55.843720Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T15:30:55.990567Z","title":"Liu,Knotted surfaces, homological norm and extendable subgroup, Topology Appl.377(2026), Art","venue":null,"work_id":"0f6d0e8d-19f6-494c-9c4f-9dff7519fe5c","year":2026},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.847069Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:05fa6ca26f3d815300587237eb400b0c10c0b4be1f0e6f4708c6fad7149d0984","observation_id":"6c4dc64e-de0b-4b1e-936a-4002a198a12f","resolution":{"observed_at":"2026-08-15T15:30:55.994791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:55.978695Z","title":null,"venue":null,"work_id":"53c6bf08-e75c-4cf9-8b29-6d1ba63a14c0","year":2013},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.851052Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:423d12f858c7f3bf9811a8fc60abad15d2164ddafbca855bdce461a0a7bb7ae7","observation_id":"c007a7cf-76c4-44fc-8738-6d0c2be1fbf1","resolution":{"observed_at":"2026-08-15T15:30:55.982782Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:55.967525Z","title":null,"venue":null,"work_id":"89b64c22-4de1-44ab-ba74-f33d39ffa4f5","year":2001},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.855070Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:c4a1b5e62672052bc92c3488fdb2dffbaca1ca01044c5d98397c1fe382392939","observation_id":"18f5bb56-9b75-4520-9e66-7a86aeba74f7","resolution":{"observed_at":"2026-08-15T15:30:55.971360Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.31383","last_updated":"2026-08-05T19:07:29Z","snapshot_observed_at":"2026-08-09T23:09:45.460089Z","submitted_at":"2026-05-29T14:51:05Z","title":"Extendable mapping classes of knotted surfaces obtained by rim surgery in $S^4$","version":3},"cited_work":{"arxiv_id":"2605.31383","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.31383","snapshot_observed_at":"2026-08-15T15:30:55.898810Z","title":"Extendable mapping classes of knotted surfaces obtained by rim surgery in $S^4$","venue":"math.GT","work_id":"e5af5940-3581-4ad3-be58-6b718c4d035c","year":2026},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.858696Z"},"links":{"cited_paper":"/paper/2605.31383","citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:3c899103e4d6865bc77712e9c13a5b4369e79b20f64b55d2996f8b7edbf3ac6e","observation_id":"a31ac867-4a6b-44c1-ba45-b121a50cc48f","resolution":{"observed_at":"2026-08-15T15:30:55.904937Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:55.953859Z","title":"Serre,Trees, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2003; translated from the French original by J","venue":null,"work_id":"b28edda4-7c7f-45e6-95b2-9802f29c8ca0","year":2003},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.862339Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:98e365b9c37a2f33bc88f0b413fee9c4fddad668964668f237237e4a631eee91","observation_id":"2fd6ea91-237a-4298-b50b-5bdef14355d6","resolution":{"observed_at":"2026-08-15T15:30:55.958421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-15T15:30:55.942084Z","title":"Wang and Z","venue":null,"work_id":"3a134921-622f-48d9-a7ee-0c0a191eff9c","year":2024},"citing_paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T15:30:55.865543Z"},"links":{"citing_paper":"/paper/2608.01504"},"observation_digest":"sha256:d1e630acc6d96b5ea44ea12a4b2b754c781daeaaf6ca23e87f0fa6c6bbbb3464","observation_id":"f07745ed-58bd-45a3-9865-70fbfee0e476","resolution":{"observed_at":"2026-08-15T15:30:55.945678Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.01504","last_updated":"2026-08-02T21:21:42Z","latest_version":1,"primary_category":"math.GT","snapshot_observed_at":"2026-08-15T15:04:48.077236Z","submitted_at":"2026-08-02T21:21:42Z","title":"Embedded surfaces with trivial extendable mapping class groups in simply connected $4$-manifolds"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":2,"verified_fuzzy":10},"total_outbound_references":17},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2608.01504."}