{"as_of":"2026-08-23T04:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a0f21df9ac6d9df38e562ee1f311a204dc5fd00ded467bebf35fa8a5bfac42b2","coverage":[{"denominator":15,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T21:41:01.879683Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T22:39:40.863142Z","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":"2026-05-25T05:45:24.258572Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.04567","snapshot_observed_at":"2026-08-15T22:39:40.863142Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.07115","last_updated":"2025-05-11T20:52:23Z","snapshot_observed_at":"2026-08-15T22:22:19.671686Z","submitted_at":"2025-05-11T20:52:23Z","title":"On left nilpotent skew braces of class 2","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T22:39:40.863142Z"},"links":{"cited_paper":"/paper/2501.04567","citing_paper":"/paper/2505.07115"},"observation_digest":"sha256:68cc5a99633f4e97923506e5722d1a1180be92130dd4ec6820b9424aa2ebb883","observation_id":"c5628bc7-e5fa-4438-970b-bdcebd13a574","resolution":{"observed_at":"2026-08-15T22:39:40.863142Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.04567","snapshot_observed_at":"2026-08-07T01:04:17.329760Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.12503","last_updated":"2025-06-14T13:33:15Z","snapshot_observed_at":"2026-08-20T06:07:34.227205Z","submitted_at":"2025-06-14T13:33:15Z","title":"One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T01:04:17.329760Z"},"links":{"cited_paper":"/paper/2501.04567","citing_paper":"/paper/2506.12503"},"observation_digest":"sha256:81b8af90c42f18115041df71ad507ad83f616ef075ce20804ddb207e931a793e","observation_id":"5ae72b22-7b2b-49b7-8dc3-6e3d20fb4086","resolution":{"observed_at":"2026-08-07T01:04:17.329760Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"cited_work":{"arxiv_id":"2501.04567","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.04567","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2501.04567 (2025)","venue":null,"work_id":"0044cff8-fce2-4421-bcc6-633953e7e258","year":2025},"citing_paper":{"arxiv_id":"2512.18249","last_updated":"2026-04-26T10:55:11Z","snapshot_observed_at":"2026-08-16T10:37:11.857519Z","submitted_at":"2025-12-20T07:22:04Z","title":"Hermitian Matrix Function Synthesis without Block-Encoding","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-16T20:22:56.961561Z"},"links":{"cited_paper":"/paper/2501.04567","citing_paper":"/paper/2512.18249"},"observation_digest":"sha256:bf75bcee2329d53b23e519388fca0e4ee4447b24b71160fbbb24707c1cd4b541","observation_id":"9fefdfee-9396-4426-8dbf-5765a4d16e23","resolution":{"observed_at":"2026-05-16T20:23:23.383742Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"cited_work":{"arxiv_id":"2501.04567","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.04567","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2501.04567 (2025)","venue":null,"work_id":"0044cff8-fce2-4421-bcc6-633953e7e258","year":2025},"citing_paper":{"arxiv_id":"2605.22993","last_updated":"2026-05-21T19:45:46Z","snapshot_observed_at":"2026-08-19T08:09:53.587122Z","submitted_at":"2026-05-21T19:45:46Z","title":"A Proactive Multi-Agent Dialogue Framework for Assessing Social Language Disorder Traits in Autism","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-25T05:43:12.120496Z"},"links":{"cited_paper":"/paper/2501.04567","citing_paper":"/paper/2605.22993"},"observation_digest":"sha256:7813ecfb474ec7e00d00fecccc2328c92bebf54fb4f3f6478b19b8e170247d45","observation_id":"3af20d2e-4e05-41d4-b255-3f1357b88a57","resolution":{"observed_at":"2026-05-25T05:45:24.263128Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.04567/citation-record","integrity":"/paper/2501.04567/integrity","json":"/paper/2501.04567/citation-record.json","paper":"/paper/2501.04567"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:41:02.302375Z","title":"Bachiller, Classification of braces of order p3, J","venue":null,"work_id":"3ce14ea4-9e20-456b-a1b7-0b96cdb916b0","year":2015},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.761118Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:52f65c51fb7820d9480b7a30e383497088f1d5020479172a668eb33c7e1bda0b","observation_id":"7a608018-d347-4fe9-87b0-375a9d9d50b1","resolution":{"observed_at":"2026-08-10T21:41:02.308597Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:02.272183Z","title":"Ballester-Bolinches, R","venue":null,"work_id":"976efded-442d-4e74-8fee-e54f44664c14","year":null},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.768092Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:d64f8a5fbf838c01e96f54fc597bf1128fc46a278e555d3b470bda07cde8419b","observation_id":"746fb17f-d9a8-4db0-9a07-a24582f6b8b9","resolution":{"observed_at":"2026-08-10T21:41:02.282275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:02.249838Z","title":"Bonatto and P","venue":null,"work_id":"7de226a7-d08f-4303-ae30-21a02a527dd6","year":2023},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.780442Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:77b2446c7c056b91b46d107aff0204d6ed8f55a6d4eb4f7428f68b3bfba062b1","observation_id":"c598548b-5c3d-40bf-b1a3-0f0adac9865d","resolution":{"observed_at":"2026-08-10T21:41:02.257193Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:02.224746Z","title":"Ced´ o,Left braces: solutions of the Yang-Baxter equation , Adv","venue":null,"work_id":"b76a0d38-7494-479a-94ea-670c82d577d5","year":2018},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.789099Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:71b67d31876ebd5c3987e07fb24d6de2e62f5903a91fa335c9432184244684f2","observation_id":"80205a00-c190-4180-9d0d-8610c39dd713","resolution":{"observed_at":"2026-08-10T21:41:02.234974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:02.195719Z","title":"Ced´ o, T","venue":null,"work_id":"33248d2c-f202-4266-91d9-979c6cee07df","year":2017},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.799602Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:6ce1041c41726b6bd2c39c158a21bda4d6a39a382b1332f0c0d69cb0cc106f98","observation_id":"47ed57a0-e662-48f4-8e84-82ac12e19e67","resolution":{"observed_at":"2026-08-10T21:41:02.206403Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:02.169864Z","title":"Ced´ o, A","venue":null,"work_id":"4370e72c-c9b2-4f73-8616-6ea936cbd3c7","year":2019},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.810492Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:db0ea228e0e0bb2779b0f76cd6c4d1a72150708ba308c80b7838d2df248161cc","observation_id":"5ec7fc7d-30d8-48a1-b916-52cf95bccb35","resolution":{"observed_at":"2026-08-10T21:41:02.178965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:02.139272Z","title":"Colazzo, M","venue":null,"work_id":"77e58e99-65e5-4326-9ce6-6ecb18e60860","year":null},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.820878Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:d067e28bd9383d0f03427ef8a8d86a233f7e7bb95f2eb3176d3cfb333f00811b","observation_id":"f184d0f8-2791-4c0c-814d-52988524987f","resolution":{"observed_at":"2026-08-10T21:41:02.146412Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:02.106611Z","title":null,"venue":null,"work_id":"b19a028a-c07a-40b4-8a1f-d806e515bfa3","year":null},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.826726Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:dd1f5d9d76d10de5e2020d61edcddb643d3ccc1dcde79fd234df0a2720e9ce69","observation_id":"c7be143b-9738-4304-9462-defd079f2a6d","resolution":{"observed_at":"2026-08-10T21:41:02.114041Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:02.069346Z","title":"Jespers, A","venue":null,"work_id":"7e849aeb-a6a1-47b5-bc87-34e7a502702e","year":2023},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.834338Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:de95ae4ef6541948b14ef5f710c366c87e520a5a788935e3d8e456f89c446963","observation_id":"8c0082ea-9995-41da-94ce-c18034b6544e","resolution":{"observed_at":"2026-08-10T21:41:02.077178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:02.038098Z","title":null,"venue":null,"work_id":"02d241d0-5b66-4d0a-a5e2-d2ec68a1a116","year":null},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.841048Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:ea3892a523a7ed27ad9fc4898d1f1d1f02d7090d00a2effd9d25013e9a141e1e","observation_id":"6e565106-2a5f-41df-b1fd-8e14421eada4","resolution":{"observed_at":"2026-08-10T21:41:02.048363Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:02.012101Z","title":"Rump, A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation , Adv","venue":null,"work_id":"3992ab18-3cff-48b2-ba1b-08d5af4b4292","year":2005},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.848055Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:7256da9688fb85b9fa054f3764e7094afdd3af6cb5e0a76ad086fc994a30ea56","observation_id":"5ec9085e-049b-46b4-acb1-9135d0fc58c7","resolution":{"observed_at":"2026-08-10T21:41:02.021145Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:01.989078Z","title":"Al- gebra 307 (2007), no","venue":null,"work_id":"68cbdcac-794f-4746-8ebd-1873a2e6de93","year":2007},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.857535Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:55738eb52dd3fc59462bfe5011a1fb50c8ca7982dc1abdbd769e192cc28879f7","observation_id":"7b91aa91-5088-4203-b8c1-643cf5ea8c5c","resolution":{"observed_at":"2026-08-10T21:41:01.995994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:01.968463Z","title":"Smoktunowicz, On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation, Trans","venue":null,"work_id":"d7e63e40-98e0-4113-ba72-49f1813dc61b","year":2018},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.865746Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:87dc7ace395deb1dd8ba7f6843ad96f63b345a8cf0ac8e60f2ad9c237887e52d","observation_id":"d0e226d6-90ea-4a59-b719-f647538ae588","resolution":{"observed_at":"2026-08-10T21:41:01.974490Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:01.948139Z","title":"Algebra Appl","venue":null,"work_id":"f803ef73-c4e5-48be-95e3-b0801511b623","year":2022},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.873112Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:d56c46d22033970e4e0d50eecfdb7de8805b5626c749a35d7630ae2053dca6f7","observation_id":"1c24726e-080f-4b11-9e73-0ec06a2e62e7","resolution":{"observed_at":"2026-08-10T21:41:01.954236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+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":"2026-08-10T21:41:01.921819Z","title":"Trombetti, The structure skew brace associated with a finite non-degene rate solution of the Yang-Baxter equation is finitely presented , Proc","venue":null,"work_id":"86f60c68-955a-4cc0-b13a-b4a16c3490f7","year":2024},"citing_paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T21:41:01.879683Z"},"links":{"citing_paper":"/paper/2501.04567"},"observation_digest":"sha256:448cc94b7ab41557b49ed41d964bcb9c263045b8cd59cd0b2f9b496cadcb62b5","observation_id":"50abf65b-715f-4815-8d68-9667a5bd8dba","resolution":{"observed_at":"2026-08-10T21:41:01.930207Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.04567","last_updated":"2025-01-08T15:30:41Z","latest_version":1,"primary_category":"math.GR","snapshot_observed_at":"2026-08-10T21:27:18.999097Z","submitted_at":"2025-01-08T15:30:41Z","title":"On the structure of some one-generator nilpotent braces"},"reference_resolution":{"displayed":15,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":0,"verified_fuzzy":13},"total_outbound_references":15},"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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 4 inbound Pith citation observations for arXiv:2501.04567."}