{"as_of":"2026-08-12T03:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1f71c9623e0874e535deb69cd03d2f1413e5692158a4a6b56013b3113e22e8e9","coverage":[{"denominator":49,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":49,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T11:22:44.506438Z","state":"measured"},{"denominator":51,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":51,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T14:19:01.181021Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-13T03:22:10.054779Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"cited_work":{"arxiv_id":"2509.03014","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2509.03014","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"de5b35c4-83d0-4d09-a0ec-2a4fdfacd2ca","year":2025},"citing_paper":{"arxiv_id":"2605.12352","last_updated":"2026-07-15T18:37:26Z","snapshot_observed_at":"2026-08-02T14:18:56.729914Z","submitted_at":"2026-05-12T16:29:22Z","title":"A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-13T03:21:09.046281Z"},"links":{"cited_paper":"/paper/2509.03014","citing_paper":"/paper/2605.12352"},"observation_digest":"sha256:5ac75b47c1a0d4f367fd78826c299e3dd7a834f5e3394137f43575cad94912d1","observation_id":"1bece107-74c3-4acb-b64a-596d8617945a","resolution":{"observed_at":"2026-05-13T03:22:10.058378Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.03014","snapshot_observed_at":"2026-08-02T14:19:01.181021Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2605.12352","last_updated":"2026-07-15T18:37:26Z","snapshot_observed_at":"2026-08-02T14:18:56.729914Z","submitted_at":"2026-05-12T16:29:22Z","title":"A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-02T14:19:01.181021Z"},"links":{"cited_paper":"/paper/2509.03014","citing_paper":"/paper/2605.12352"},"observation_digest":"sha256:40824170c512c79c912685f4b10330d793c04c2f3546834ea50da5acbf5ae3f1","observation_id":"b8cb9fb0-a9da-4484-8209-0e2b38cf831a","resolution":{"observed_at":"2026-08-02T14:19:01.181021Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2509.03014/citation-record","integrity":"/paper/2509.03014/integrity","json":"/paper/2509.03014/citation-record.json","paper":"/paper/2509.03014"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2306.14567","last_updated":"2025-05-07T13:00:46Z","snapshot_observed_at":"2026-08-04T22:45:31.146987Z","submitted_at":"2023-06-26T10:27:20Z","title":"Gravitational instantons with $S^1$ symmetry","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.14567","snapshot_observed_at":"2026-08-05T11:22:43.976123Z","title":"Reine Angew","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:43.976123Z"},"links":{"cited_paper":"/paper/2306.14567","citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:f987d138d2b6cdcf6afbbea97ea752eac0d0a9316f7b6309d713642aa5f42453","observation_id":"87fe3f6d-6c6f-4c49-a337-85f2638cee99","resolution":{"observed_at":"2026-08-05T11:22:43.976123Z","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":"2026-08-05T11:22:46.343901Z","title":null,"venue":null,"work_id":"5619fd52-b8d6-4e6b-b1ee-93e9f0944c67","year":2022},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:43.984590Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:b63f6bc17ecdced27203a6ad7f4887587e5a6b57582cc13e38ff8f919305403c","observation_id":"595e6013-3517-4418-be0c-837ff7b71167","resolution":{"observed_at":"2026-08-05T11:22:46.357498Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:46.319195Z","title":"Henri Poincar´ e,9 (2008), no","venue":null,"work_id":"64535936-4750-4a80-934d-7e2627d382da","year":2008},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:43.994664Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:e5637e15b6f7fcd18672849bb8a6b2747e218a3324d219a5270ba4345787c58a","observation_id":"cddb6c3a-156d-4bb8-bf3f-daf55e53b8f5","resolution":{"observed_at":"2026-08-05T11:22:46.326176Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:46.282825Z","title":"Pure Appl","venue":null,"work_id":"2886d59f-845f-41e1-ad20-635fe113847c","year":1986},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.007060Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:284b6b969ce0e0c9459c93aba43121045f68cb0a030e536a16cfe988e15ca37c","observation_id":"c06011d3-459f-4cb4-8ea8-c56ed7e6239e","resolution":{"observed_at":"2026-08-05T11:22:46.293964Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:46.250193Z","title":null,"venue":null,"work_id":"f71b7424-bf6b-41b1-bad1-de025ce4e501","year":2017},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.014161Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:c021f5851b4b36839978cf171eb73bc1e00286f6269c6ce91554f4ab162653cb","observation_id":"cc8a75f1-67d6-4c28-a332-2ad8aa2cd4c1","resolution":{"observed_at":"2026-08-05T11:22:46.259750Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:46.218780Z","title":null,"venue":null,"work_id":"d6a84622-3004-4b52-9270-dfa85f126b87","year":2007},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.020736Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:45d756a1662f0c8700d21db71ece1779dcbb00a8c8900f9ea429d6f26fcf45db","observation_id":"004011cc-b72a-4c2b-9656-604f1989e280","resolution":{"observed_at":"2026-08-05T11:22:46.229411Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:46.186149Z","title":null,"venue":null,"work_id":"3a6a393c-40e3-42d3-8d56-d82dcc5e2c2e","year":2024},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.028313Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:efec8922f037a401b178225aab1997c7ce5c7cbbcbdbe455aff65f750c13ee20","observation_id":"f7c29348-c654-41f2-ba24-c1342a71cb5c","resolution":{"observed_at":"2026-08-05T11:22:46.196966Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:46.161430Z","title":null,"venue":null,"work_id":"9001dd11-9008-4667-a2e8-760cb00fcdc8","year":2002},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.043104Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:c4a370b0f26c1eb993cc907a211fb0b5a05eb535160c641f2ae6c423cd7753c5","observation_id":"a1cb04ce-c732-4ead-9441-2fad8635aef7","resolution":{"observed_at":"2026-08-05T11:22:46.168316Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:46.110586Z","title":null,"venue":null,"work_id":"0d70eb8e-0c92-45a9-babc-e73d4a784cbc","year":2017},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.050674Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:95ff1a7974a5487eac94b5e1a2a412716fbb6f1c24cd15d2803d29fb5dfd6fee","observation_id":"67e128c2-2a31-4d34-a12d-3177f0f4cc19","resolution":{"observed_at":"2026-08-05T11:22:46.144927Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.14442","last_updated":"2021-12-29T08:07:44Z","snapshot_observed_at":"2026-07-06T12:23:12.226847Z","submitted_at":"2021-12-29T08:07:44Z","title":"Incompressible hypersurface, positive scalar curvature and positive mass theorem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.14442","snapshot_observed_at":"2026-08-05T11:22:44.063867Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.063867Z"},"links":{"cited_paper":"/paper/2112.14442","citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:8969bf151a320f0aaf75a0fa9a5780caec7f232603c16892b1d97db82ea10711","observation_id":"45676cd3-d038-401d-9107-deaf5179e609","resolution":{"observed_at":"2026-08-05T11:22:44.063867Z","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":"2026-08-05T11:22:46.063119Z","title":"III Latin Amer","venue":null,"work_id":"c26755cb-c68f-4e44-810e-1fba21bd9e72","year":1976},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.077751Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:3914b4c6b60ed2f998b4c023d61b6832998516f74bc1c51a18ca272371374ef5","observation_id":"14807f7e-f4b3-4880-9432-1fb8c2f030a7","resolution":{"observed_at":"2026-08-05T11:22:46.078476Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:46.022082Z","title":null,"venue":null,"work_id":"c2e675d1-2ba4-41b8-ad15-66cf43f5861f","year":1986},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.085667Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:bb0cf223f11146d8d9241ab3ebf85c5b16c4b82d6b3d06cdbad957266d92ae66","observation_id":"a0d211d8-fded-468a-afbb-bfa79d5e81b3","resolution":{"observed_at":"2026-08-05T11:22:46.033623Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.969394Z","title":"Math., 212 (2003), no","venue":null,"work_id":"dd2ec8ab-a208-40ad-bb2d-1f72c1624e45","year":2003},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.090297Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:61b71bb7b0824c158c28e7bb857e4c0241cd04ffb224ad0dde9d1d2574d47946","observation_id":"a9307a85-3fef-4cf3-82dc-c963125c1bdf","resolution":{"observed_at":"2026-08-05T11:22:45.978659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.896001Z","title":"of Math., 145 (1997), no","venue":null,"work_id":"b11096f1-9f6e-4a43-b248-b480fcdf30c4","year":1997},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.103895Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:bea0c63b35f5e2f1f8f508f24dc40d5f3af5ba4d709675bbc50884af4c999727","observation_id":"e9d11196-42fb-4b32-9d9c-bf8be2f61883","resolution":{"observed_at":"2026-08-05T11:22:45.902394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.849124Z","title":null,"venue":null,"work_id":"3d98f869-372e-4b30-b36a-48d4afb7cd96","year":2011},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.115405Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:acfa052025598786e0bde63180a1051e4fa3bc407983a8708ca26806221f0299","observation_id":"effaf4f4-ea26-480d-8bb8-0eb499042c60","resolution":{"observed_at":"2026-08-05T11:22:45.862729Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.807650Z","title":null,"venue":null,"work_id":"e3035baf-06cb-4f93-8841-d2d8d98869e6","year":1996},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.135670Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:6d8703671833816963a326ad218fed2427d6872678574430131526dd7ff4c96e","observation_id":"e7cc7c8c-1835-4f7e-9060-241262246df4","resolution":{"observed_at":"2026-08-05T11:22:45.825980Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.773087Z","title":null,"venue":null,"work_id":"54ef7e83-fa68-46a3-901c-30988518694c","year":2004},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.144021Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:d377084e41bdc12a41c0a5efee4d92639d115428b644b075905cbfbd4f2057e7","observation_id":"fb582c42-ec0b-44fa-a964-9e604b10b19c","resolution":{"observed_at":"2026-08-05T11:22:45.783174Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.739854Z","title":null,"venue":null,"work_id":"05022cab-52a0-496a-9da1-330d6e83fdb6","year":2023},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.152883Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:d686cf99c18405870560bf62d6d4b8a4eeff8522bf434beb64e0b92c57917d90","observation_id":"97d6e9b4-51fa-4abd-9154-2910c251f1bd","resolution":{"observed_at":"2026-08-05T11:22:45.751756Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.710188Z","title":null,"venue":null,"work_id":"eabedba3-bb7f-4d79-8919-a6457ea7d391","year":2016},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.167885Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:8a5d04e56f95cfd6f8a2fedb73058f5f79e5602b7da49575f64cd8470379dd62","observation_id":"9ba11ee0-b3bc-4c2f-8dba-8c9dc06314a4","resolution":{"observed_at":"2026-08-05T11:22:45.718000Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.677971Z","title":null,"venue":null,"work_id":"e9cfd8d5-017e-4c2b-8f37-244cf75e466a","year":2014},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.183078Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:adaa841a73ce72ec93de9f48013f21bad5aa8db155c4c02ff837658de273d2b7","observation_id":"42978d26-fb29-477c-8ad8-69a279db61b8","resolution":{"observed_at":"2026-08-05T11:22:45.684236Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.650718Z","title":"of Math., 72 (1960), 458–520","venue":null,"work_id":"68d90080-f7c7-4ebf-a04f-4ba389b4147a","year":1960},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.192013Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:a9f18dde434fba759e36161dd82616a78fe6c73c4e772c4d315dda0804334b7b","observation_id":"b447228f-c149-45d2-9597-ce40ffef3924","resolution":{"observed_at":"2026-08-05T11:22:45.657381Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.603400Z","title":null,"venue":null,"work_id":"a124b131-22c3-4524-952b-dfa62e9c4940","year":1977},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.197756Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:d00a9d5379dd776dbf92a182bcf33d5495984a37bf3cee2761ae1313b3633085","observation_id":"03eb36f1-861e-4322-8ed4-b4a6713713da","resolution":{"observed_at":"2026-08-05T11:22:45.609943Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.572616Z","title":null,"venue":null,"work_id":"3762c281-f721-4f04-bce5-aa18137719b3","year":1978},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.202984Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:8ef1289acc34838da34c8628102ab4d21e08421a0b84fd523cbc1dcaf6eb6e5a","observation_id":"8443c902-00ce-4723-90d8-7961352692c4","resolution":{"observed_at":"2026-08-05T11:22:45.580112Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.548334Z","title":"of Math., 136 (1992), no","venue":null,"work_id":"d43f595b-7a2a-4b5f-af29-0d55ead05eef","year":1992},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.209187Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:7de11dc5ea9175f5ff10d241f20478ea1a8f5128aa56d14d3af628c3b3956500","observation_id":"2ef6f22d-30bc-42e0-af86-707388876e8d","resolution":{"observed_at":"2026-08-05T11:22:45.555494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.523031Z","title":null,"venue":null,"work_id":"e77903ca-dcaa-476d-88bc-df88e6f2c08f","year":2000},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.219551Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:3a562601bf7abee7ca99090e5bc3a07600122a347f36370471857f72a796aa33","observation_id":"473fecf4-8657-4e1d-92c0-b7ee44d00392","resolution":{"observed_at":"2026-08-05T11:22:45.528956Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.487617Z","title":null,"venue":null,"work_id":"c3ff738d-2b60-4ce6-bc95-9744b3850643","year":2002},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.225222Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:7be4a16b64c86faf017cb92fdd1eac2acade7b500532735668e2ab009fbce0fc","observation_id":"75705ec9-49e1-4951-91b8-848979b34e82","resolution":{"observed_at":"2026-08-05T11:22:45.504731Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.459614Z","title":null,"venue":null,"work_id":"d8b82082-0fa7-4264-83d1-8cf3211b7e29","year":2016},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.230833Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:4840daecc64787a69c8949164e605d859efa612ce9e0cec999ee5af62a76d28c","observation_id":"35b17207-7d09-4a06-a342-81c212a477c2","resolution":{"observed_at":"2026-08-05T11:22:45.472939Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.433408Z","title":"Ann., 312 (1998), no","venue":null,"work_id":"b31b6676-4cb5-42fc-8a76-35db037535e0","year":1998},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.240403Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:eb4080018861dda729419840a60b19122cac8d2cb3128ce5ea6cf6f237e98354","observation_id":"8e84dd44-e705-440c-9549-2c2b62e1a596","resolution":{"observed_at":"2026-08-05T11:22:45.442401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.390516Z","title":null,"venue":null,"work_id":"01aadfdf-b255-4d23-955c-bb99bf6ecb3e","year":2018},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.249577Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:22faa6216723cf058ddd86c64dbde5f95de52063831da5a503d981d1633e9c6c","observation_id":"9ad327d2-4a2b-4e96-a0d7-c48edf6ee150","resolution":{"observed_at":"2026-08-05T11:22:45.405451Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.335611Z","title":null,"venue":null,"work_id":"4f35abc7-aff0-4e9d-a337-a7e3cfb96816","year":1988},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.258186Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:78754ba6937843b8f9b000700c22896420adca1b1de8c87482fc68772afc99c4","observation_id":"52a95214-7ad6-49dd-b993-ed35279a9816","resolution":{"observed_at":"2026-08-05T11:22:45.342900Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.310928Z","title":"201, American Mathematical Society, 2021","venue":null,"work_id":"41c3f7ae-88ee-4e4d-8091-ff8156b56173","year":2021},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.265847Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:5a1e1754d46b19443cc8abf476a5cf3d7f28ac1900c0da6929fcc54660842aa9","observation_id":"fa64cdb0-d6d0-4982-b5b2-b0cd8c364837","resolution":{"observed_at":"2026-08-05T11:22:45.321793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.293972Z","title":null,"venue":null,"work_id":"d993c864-42c0-4487-bc7d-395b3e016310","year":2015},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.272503Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:9675aaa51ac29324c01003fb68d95a04b7a3b81b58c4b58ba1883b60bb59c7d8","observation_id":"42216188-f236-43e1-819b-d2014e2d12a7","resolution":{"observed_at":"2026-08-05T11:22:45.298253Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.269749Z","title":"Differential Geom., 128 (2024), no","venue":null,"work_id":"6934f3c3-1c97-4fa7-8ec8-e258b2ded73d","year":2024},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.283963Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:c538229e50cf00f669a69f3ca0965accf45d64e49fc078d181168ab5aaf48e75","observation_id":"4c754c76-ad5a-4307-aad8-8b8dae4e5372","resolution":{"observed_at":"2026-08-05T11:22:45.274429Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.13197","last_updated":"2024-10-16T08:23:51Z","snapshot_observed_at":"2026-08-10T01:18:03.508143Z","submitted_at":"2023-10-19T23:18:10Z","title":"Classification results for conformally K\\\"ahler gravitational instantons","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.13197","snapshot_observed_at":"2026-08-05T11:22:44.293876Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.293876Z"},"links":{"cited_paper":"/paper/2310.13197","citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:b9ec1ae26bf84d3076abac961b427f87bd06163b7e5d64434989b4d66f0496ad","observation_id":"6c3bf1ac-126f-4006-b9dc-8565dc6c53bf","resolution":{"observed_at":"2026-08-05T11:22:44.293876Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.15284","last_updated":"2025-07-21T06:32:15Z","snapshot_observed_at":"2026-08-11T02:33:17.225713Z","submitted_at":"2025-07-21T06:32:15Z","title":"Gravitational instantons and harmonic maps","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.15284","snapshot_observed_at":"2026-08-05T11:22:44.302876Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.302876Z"},"links":{"cited_paper":"/paper/2507.15284","citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:5f1e9b74f8652bb74bcd774b5bae4b4b8c702252376a06a61f1ee34ea6127b1a","observation_id":"0a6552e7-72d5-4b64-a748-ec7f7d5d87b1","resolution":{"observed_at":"2026-08-05T11:22:44.302876Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.11289","last_updated":"2021-03-23T08:09:59Z","snapshot_observed_at":"2026-08-06T01:06:43.725936Z","submitted_at":"2021-03-21T02:31:05Z","title":"Positive mass theorems of ALF and ALG manifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.11289","snapshot_observed_at":"2026-08-05T11:22:44.313475Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.313475Z"},"links":{"cited_paper":"/paper/2103.11289","citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:9f8b2cf87a44e3644173e9bb078ca23bcad0da50ed74e22d8700f65e45f86a64","observation_id":"e5e32786-4d26-47fd-abc6-e02fff6f006d","resolution":{"observed_at":"2026-08-05T11:22:44.313475Z","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":"2026-08-05T11:22:45.250421Z","title":"19, 193001","venue":null,"work_id":"18404703-435d-4819-ae1d-82f6fecfa910","year":2009},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.329348Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:4c35384b6f4085ed4bd49b43e191928c14d1d67278ee1adcbff4a3383133af53","observation_id":"ddc5b30e-4acf-43d8-912c-a044621f8637","resolution":{"observed_at":"2026-08-05T11:22:45.259654Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.211942Z","title":null,"venue":null,"work_id":"959b8fc8-84db-436d-8d8b-cdf2231bd751","year":2009},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.334269Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:c2b715dbe298d47b126d9bea7f370a42c86427596714c80c200b43f6b7ac16e5","observation_id":"6c3a5e46-48ef-4e31-befe-6d6af535d043","resolution":{"observed_at":"2026-08-05T11:22:45.227705Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.157862Z","title":"Pure Appl","venue":null,"work_id":"3c04f17d-b295-418c-b645-9ae3c0ee8a31","year":1981},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.348600Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:54273302decfb2619525817c2bbf6cbf2a57fc406ff85ba050017e5123ea141c","observation_id":"79f255be-303e-4201-bb2c-177c17914a3c","resolution":{"observed_at":"2026-08-05T11:22:45.178081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.121249Z","title":"3-4, 275–288","venue":null,"work_id":"1c4179da-67a7-47bf-92ec-6749afe0c815","year":1975},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.371730Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:ebb2d5e79af89b8a23355c7b3e568a66f78a792b9a084201f004cda0cbe6967d","observation_id":"dbb9baf8-8cf9-4609-bba8-dd585bface17","resolution":{"observed_at":"2026-08-05T11:22:45.137985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.077647Z","title":null,"venue":null,"work_id":"e7899800-951d-4e46-83d3-77859392830d","year":1979},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.388972Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:485dc59c9102266eda11871811af44c12ff4ce5409e04329ae3b13fcaedc3542","observation_id":"6a30a100-774f-411d-9f6c-27b2cbb303d3","resolution":{"observed_at":"2026-08-05T11:22:45.089366Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.046375Z","title":null,"venue":null,"work_id":"8fd3fa5e-98e4-44f7-b739-d29787e8ff88","year":1981},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.408623Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:5c57e7708116c2ff0d0a77cd130aa362c9dfd6be3d8e7d6bf9c898d1bc6ea600","observation_id":"e373d047-2deb-4805-b0b7-af8a0b568f93","resolution":{"observed_at":"2026-08-05T11:22:45.063190Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:45.004016Z","title":"II , Comm","venue":null,"work_id":"2143a789-574f-47da-aa27-e6da7ffc36ff","year":1981},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.431286Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:3d8b7ad8957dc58cf6f73c552d3ee689893745491b1531d167fae51138da90c3","observation_id":"0110a3f5-2ccd-4a59-82c4-c760fa5be13b","resolution":{"observed_at":"2026-08-05T11:22:45.020923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:44.978504Z","title":"Math., 293 (2018), no","venue":null,"work_id":"8dd0f90a-4c98-490e-b5e7-bb08f00d5747","year":2018},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.453111Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:f70cb9a74b9fddf4a038c2909416b86c183e5007eeb58bb8a2b2e9505d86cb9c","observation_id":"b640023f-5c1e-48de-b76b-94dce2eb905d","resolution":{"observed_at":"2026-08-05T11:22:44.986481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:44.935465Z","title":"3, Australian National University, Centre for Mathematical Analysis, Canberra, 1983","venue":null,"work_id":"3d8a23c2-c091-43ef-8510-cd6a6c608342","year":1983},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.463510Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:5f439fb1b12b64810cfa66f751a35961e1fbde938ba7e72989bbb5ea5ed3a3a8","observation_id":"4e8bbad7-d931-41e1-815d-f7d1241b48bc","resolution":{"observed_at":"2026-08-05T11:22:44.952370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:44.898198Z","title":null,"venue":null,"work_id":"fe986f7e-a3c4-407b-88c9-9d52404ddeb1","year":1965},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.470883Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:f433cacd938296966728ad7418709096f9a290f44d0d71fdff55b18db5e83336","observation_id":"3e3db012-59bb-4ce8-94eb-f4aef0a242a9","resolution":{"observed_at":"2026-08-05T11:22:44.912793Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:44.860870Z","title":"Differential Geom., 57 (2001), no","venue":null,"work_id":"6988c003-e9a3-465b-bb3f-1de542326e01","year":2001},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.478396Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:0b17c85128392b3fba77ae8710cc6ddde3ecdcfb06bff9cb2945d2a6d07c0e64","observation_id":"68d28973-8ca5-4fe8-bb7f-bf8f179db2af","resolution":{"observed_at":"2026-08-05T11:22:44.868387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:44.834225Z","title":null,"venue":null,"work_id":"6e0fe933-1a39-4e04-9fb8-a05733970ae1","year":1981},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.493723Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:2547a88c5384a273f8b9c2e04667a7505fb8defeb77d1ad714787a615443ce8f","observation_id":"318ba781-2b4f-4d04-90a8-23c68024d17c","resolution":{"observed_at":"2026-08-05T11:22:44.839767Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-05T11:22:44.810185Z","title":"I , Comm","venue":null,"work_id":"df28a23f-6c3d-43c7-8000-6bb34692cc6c","year":2004},"citing_paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T11:22:44.506438Z"},"links":{"citing_paper":"/paper/2509.03014"},"observation_digest":"sha256:6dcc224f5132aff559665cade74d26e7b0314d2c17c62ffccb2da9a4cd19ecba","observation_id":"a941635f-cae9-4598-b715-4d339920acf7","resolution":{"observed_at":"2026-08-05T11:22:44.817336Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.03014","last_updated":"2025-09-03T04:43:45Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-11T02:38:55.968257Z","submitted_at":"2025-09-03T04:43:45Z","title":"Mass Lower Bounds for Asymptotically Locally Flat Manifolds"},"reference_resolution":{"displayed":49,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":31,"verified_exact":0,"verified_fuzzy":18},"total_outbound_references":49},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 2 inbound Pith citation observations for arXiv:2509.03014."}