{"as_of":"2026-08-16T17:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:60699fb1822b5617a05b53055e55e84897fe2e7f2a06fcf40fa90fc4e1930c38","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:45:16.347428Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.04614/citation-record","integrity":"/paper/1908.04614/integrity","json":"/paper/1908.04614/citation-record.json","paper":"/paper/1908.04614"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:45:16.730560Z","title":null,"venue":null,"work_id":"52b8731f-d2a3-4a42-9dcc-6c774d77f3c4","year":1999},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.240436Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:05a3f2dbf4b766c66cadd21bd77987eec48026d5d81eeca40f9a2bf691c1b9b2","observation_id":"05790498-5bee-4bf7-88e9-9afbf01e7a78","resolution":{"observed_at":"2026-08-14T13:45:16.735442Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.715165Z","title":null,"venue":null,"work_id":"c07c680f-cbb9-42b9-a37c-666076d2a13e","year":2008},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.245756Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:e857bcd3f5ef5e5f01f786cf4dcfad2d6a98172f1b4deaddc8564c80a2ac2682","observation_id":"537ab425-7f53-4665-9d6a-d038f7456f47","resolution":{"observed_at":"2026-08-14T13:45:16.720174Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.699125Z","title":null,"venue":null,"work_id":"4646f614-3d8b-4ee8-a347-696c58a055ab","year":2009},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.250667Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:631d781240c95d581d7a9fe030d40b9be17c429a482ced42a66773be77c04451","observation_id":"593af9ed-b731-4349-ab85-0fbd5443e94e","resolution":{"observed_at":"2026-08-14T13:45:16.704630Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.683707Z","title":"Baccelli, J","venue":null,"work_id":"a966f37b-718c-44a8-bcb2-e2f4fc49170d","year":1998},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.255704Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:251c6ad90d32306eedc2899a49f648bd592326c2f683a8412dbcb7498e84b7e4","observation_id":"4a18c093-9f6e-4922-8334-e4535aee1dc9","resolution":{"observed_at":"2026-08-14T13:45:16.688459Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.668877Z","title":"Beck, Coloring of commutative rings, J","venue":null,"work_id":"04a7acdf-1c70-4aba-b0a2-a69df823bf3d","year":1988},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.260596Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:987759006ba005f726de1ea915987b5a0172cd11224f4db5a3040e5d9fc6107c","observation_id":"128fc4f8-fe1e-4e3b-a350-1008c7875231","resolution":{"observed_at":"2026-08-14T13:45:16.673655Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.653169Z","title":"Cannon, K","venue":null,"work_id":"742b008a-034e-4938-850e-55c37297ec92","year":2005},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.265949Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:5383f4509f8723da627a6a3f39226bf7901247425f303a25c32187ebf69185c0","observation_id":"96c531b7-195c-40d5-af1e-ec9e53f78d94","resolution":{"observed_at":"2026-08-14T13:45:16.658201Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.636405Z","title":null,"venue":null,"work_id":"9cebd1dd-53f5-4918-a7a1-e3b1091946a6","year":2012},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.271749Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:2a7d8158171b2770a086ae22969b62116ef3939569f4a56dd81f0483fad77dbd","observation_id":"53beac79-66b2-4e37-93ad-f5096cd02ce4","resolution":{"observed_at":"2026-08-14T13:45:16.641844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.619582Z","title":null,"venue":null,"work_id":"2fddeba0-2da2-4518-83be-ee6f0037cd9f","year":2002},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.276619Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:0d91c17cd3e5e779c1450c878f115e4fe8f3f0d7fcf8d6a941adf4a33eec1e52","observation_id":"00cff4b7-533a-4583-9c54-6009e12275b3","resolution":{"observed_at":"2026-08-14T13:45:16.624962Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.599999Z","title":"Dolˇ zan, P","venue":null,"work_id":"59158c16-3953-49cf-a98b-9353accee1a4","year":2012},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.281480Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:132592fdb8a767269a263e8744c92f11c41e43f0305a261fe7785da1dd7936c8","observation_id":"b1d0f0bd-bb74-45db-acd5-9586f1533d96","resolution":{"observed_at":"2026-08-14T13:45:16.606227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.582526Z","title":"Han, The zero-divisor graph under group actions in a n oncommutative ring, J","venue":null,"work_id":"837362c0-d176-42ef-bc63-ef164b37b70a","year":2008},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.286080Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:18ac2c3fbf796100da5a7d11855676e7d844f9ae2b4fddbdb39b1cbe3e3db6df","observation_id":"b4569047-835c-4f13-89d7-954dc832b6f2","resolution":{"observed_at":"2026-08-14T13:45:16.588070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.566006Z","title":"Hebisch, H","venue":null,"work_id":"738848dd-db1e-468d-bfbb-041e7a5d6bfa","year":1998},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.291002Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:40eccd6b8fdfe285f07475dd23a2573b0b8c14d092923521899bb03c40dc036c","observation_id":"a88a1679-3a2f-4b05-b73e-9d892ec33ac7","resolution":{"observed_at":"2026-08-14T13:45:16.570885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.547322Z","title":"Li, A heuristic method to compute the approximate pos tinverses of a fuzzy matrix, IEEE Trans- actions on Fuzzy Systems , 22 (2014), 1347–1351","venue":null,"work_id":"f0b456fd-ab46-4a12-9349-2c2e39d3aa12","year":2014},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.295939Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:e5352fd2bfa174893cc8fd876d1c1c892b3dea19d36aad45658f838a4fdc6a94","observation_id":"73a85160-23ba-48b7-bc18-98188ba5b26e","resolution":{"observed_at":"2026-08-14T13:45:16.553577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.529800Z","title":"(2019), The On-Line Encyclopedia of Integer Sequences, http://oeis.org/A048291","venue":null,"work_id":"264cd31f-05b2-4735-9835-5f3d5e9ede2c","year":2019},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.300865Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:1e868ceb32c2fbabaaaad1388af0849010565c0be4a0c65de93225d359bdec22","observation_id":"bc37962d-12ee-4640-86bd-10ee5a3ed8b2","resolution":{"observed_at":"2026-08-14T13:45:16.535321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.513536Z","title":null,"venue":null,"work_id":"f2aedf23-6dd5-4582-9d57-ac3a5c19e4c1","year":2011},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.306130Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:87950a04a05763b187f77d5055cb8374f01ab1473ba1c46d70ba9e736ea84d14","observation_id":"bdd15e6c-a060-47d4-a9d0-078221bbfb5e","resolution":{"observed_at":"2026-08-14T13:45:16.518689Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.497504Z","title":"Patil, B","venue":null,"work_id":"333ee4bc-1eef-45fc-affc-2a3c9c47c4f0","year":2017},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.310979Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:c7dd3e272f84fdad5fefa24368de5724380a5f7c5c4b1d1c7a2372e92cf227cf","observation_id":"68d47d29-406b-4ced-8451-52f28d201845","resolution":{"observed_at":"2026-08-14T13:45:16.502642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.476743Z","title":null,"venue":null,"work_id":"49a35a12-7005-4bed-a7d3-1f9e2152a01b","year":2002},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.317143Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:c0dabe20be53bf52fddc85c9f6bbbc26275a2c174857c064a738e98f24cfa83b","observation_id":"f8c34e67-1faf-44cb-ba05-fb88ffe80eff","resolution":{"observed_at":"2026-08-14T13:45:16.482546Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.457422Z","title":"Wang, A note on automorphisms of the zero-divisor gra ph of upper triangular matrices, Linear Algebra Appl","venue":null,"work_id":"3c14cfdb-eaa3-4ebe-8fb5-9a72df0ffd90","year":2015},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.323292Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:bf780776c54aaaddce28e4a3eb3a46fed08e7f6f0aecae0e69920ac7212161f6","observation_id":"64148a3c-1cac-468d-8035-caf0c7e5b4c8","resolution":{"observed_at":"2026-08-14T13:45:16.462741Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.438777Z","title":"Wang, Automorphisms of the zero-divisor graph of the ring of all n × n matrices over a ﬁnite ﬁeld, Discrete Math","venue":null,"work_id":"aaf740b0-d131-4606-b38f-af64a074aec1","year":2016},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.328621Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:752900bdac5d3fcd428296353850174376a56ec7a7b1b5de1c428bf2686ffb48","observation_id":"81de4bae-e741-403b-ab3d-01e104fefda3","resolution":{"observed_at":"2026-08-14T13:45:16.444726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.421870Z","title":null,"venue":null,"work_id":"d91f8352-94d3-4d65-86be-cbc17bd11171","year":2014},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.334920Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:12ad751125b6ea9ede08abdb004d24758caf052ecb1d2fa844cbb989e419caa6","observation_id":"0a376185-25bc-4a0b-884d-aa9452105156","resolution":{"observed_at":"2026-08-14T13:45:16.427223Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.405050Z","title":null,"venue":null,"work_id":"e0a13cbd-d8fa-4d70-8189-7bc8e82d6acd","year":2010},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.340867Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:69cfa8b49a4db9185045a9673217d407ed3b93fc0a02dab9a67089c0fd1a1a82","observation_id":"3461b2e5-8519-47f4-920d-c9c2df7e3f48","resolution":{"observed_at":"2026-08-14T13:45:16.410313Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T13:45:16.386511Z","title":null,"venue":null,"work_id":"dfa9f3e5-7f65-4e8e-82a1-47c6c2b68dbe","year":2017},"citing_paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:45:16.347428Z"},"links":{"citing_paper":"/paper/1908.04614"},"observation_digest":"sha256:d75359b8304a64ad10f793bdd9de81fc1ee036b9d58bb83830343e1af89d64b6","observation_id":"49ad9a31-e6a8-46d7-b366-8f58244e337e","resolution":{"observed_at":"2026-08-14T13:45:16.392629Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.04614","last_updated":"2019-08-13T12:52:55Z","latest_version":1,"primary_category":"math.AC","snapshot_observed_at":"2026-08-16T07:39:12.662589Z","submitted_at":"2019-08-13T12:52:55Z","title":"The automorphism group of the zero-divisor digraph of matrices over an antiring"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":10,"verified_exact":0,"verified_fuzzy":11},"total_outbound_references":21},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.04614."}