{"as_of":"2026-08-04T23:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:867bc4a3d0f9cebcf8b9441a5c63d220c27f8c077e220393ed6ca6c82b87567f","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T18:28:26.501572Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-04T06:34:03.388597+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.09672/citation-record","integrity":"/paper/2607.09672/integrity","json":"/paper/2607.09672/citation-record.json","paper":"/paper/2607.09672"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Abdurasulov, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:901391a7119b3161ca99ca65a0c42784f1c1b12c4f7f80267272df1871a8087e","observation_id":"d8373c64-c4f8-4fa6-a0ca-5a499062ca2a","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:1a93ae827d5616cadff3058b1d13badd717bec9aab9848bd7ccdbac4a0e17426","observation_id":"0ff9c2e6-ec3d-4f0e-8e1e-6c71ef92f83a","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Damas Beites, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:8f925fdd45f4a9e37390b0a31fb4ad9e0b17ce3f7f3222c3a7c0644b1cde40fe","observation_id":"a3d13110-4a57-4c7e-bb04-ea8fb9812cf0","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Benayadi, M","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:65233edf0a13211cb52c63ec5b51b09b6949ee31866043a76ad139fc6e2ffcfb","observation_id":"b36ae05c-ded5-4d5f-a918-4ee8cf4387ae","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:6831c2c77d030a7e2e681fae5df4ff6e254cb3105e541bd04f5b9658d86b3f81","observation_id":"207b732e-fcc7-41b3-83fd-fdeb0e39f198","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.01785","last_updated":"2026-05-12T00:45:21Z","snapshot_observed_at":"2026-07-06T23:14:57.459903Z","submitted_at":"2026-05-03T08:50:54Z","title":"Poisson $n$-Lie algebras: constructions and the structure of solvable algebras","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.01785","snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"cited_paper":"/paper/2605.01785","citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:feac92b19fdf7807449f6a467956a1580106d84b564bf4c97d65234923072228","observation_id":"1d648e23-a1f4-4d17-b44c-248e47913e72","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Dorfman,Dirac structures and integrability of nonlinear evolution equations, Nonlinear Sci","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:afd78226d74fa7c758a5acc873be014b356144b2a68a905cb433e73e4e2b29c1","observation_id":"9efdc8bf-7102-4c17-aa10-b65405242089","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Fern´ andez Ouaridi,On the simple transposed Poisson algebras and Jordan superalgebras, J","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:04b15069c4e02e6b5b699097f639fa3d9fd7bd46bedf8b116b5f61a9cd847858","observation_id":"28f34d50-dc28-4f93-bc2c-7a1500e1d801","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Fern´ andez Ouaridi, B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:c12145c7a8ebb0e15805ba609fdc4104ca1c2b723aebfb4a8c2adc12c920918e","observation_id":"243f7fc3-12df-409e-b898-4414dab314fd","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.26115","last_updated":"2026-04-28T21:04:53Z","snapshot_observed_at":"2026-07-06T23:11:52.954360Z","submitted_at":"2026-04-28T21:04:53Z","title":"On simple transposed Poisson algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.26115","snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Fern´ andez Ouaridi,On simple transposed Poisson algebras, arXiv:2604.26115","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"cited_paper":"/paper/2604.26115","citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:4ddf2676e8fcf2abf55b4bb0de9171b91c74795935bdfb854bbddd7abfed24b7","observation_id":"84d3bdb3-ba0f-4582-b038-1c7cfd02ba15","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:640c2f44564fdc92902c8ffc8d38396f476254314d6a46fd6948776ce8baa26d","observation_id":"22490dd3-9ff6-4a6b-bf8b-8052d8e8f2bf","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:615b396b35e9415d231b6978313a376a6e935c0810909f999bd5a7b998aa9d8a","observation_id":"6435006c-0664-420a-ae09-273d624b3321","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:3c0717d63993216b21fb3d815943ec1862a8d32ccbaf6b5105cb4e1167b5a0cb","observation_id":"df100746-bcc4-4227-821f-94d8c74b76be","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Gubarev, B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:62f306be79e6fa14675a6c54d8faf3c4095a09efda8ae86ab94098c26b582488","observation_id":"d54d2e0b-0de7-448c-a855-a821e9e35888","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:fd40b2af64050e2722de3e060b374e9a9d3d196bc83ef7c232c0216db1abb7a2","observation_id":"7a60ec4d-8cbb-452e-bfba-25c9141721a3","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Hong,Central extensions and conformal derivations of a class of Lie conformal algebras, Linear Mul- tilinear Algebra70(2022), no","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:cc443301efd20591b06865193ab0a3d4c854fdd3ac815e1db69998f0ef2bf55b","observation_id":"d7772edd-8841-47b2-9792-923b72127953","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:1033f7bc80c8e6a507deab256507226ffcf117ccdaa1c9c99f015b2f12dd92ae","observation_id":"0df275af-5167-4422-b406-d6e456cc604f","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.25586","last_updated":"2026-05-01T00:31:05Z","snapshot_observed_at":"2026-07-06T23:11:25.757664Z","submitted_at":"2026-04-28T12:54:24Z","title":"Nilpotency and Frattini theory for transposed Poisson algebras","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.25586","snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"cited_paper":"/paper/2604.25586","citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:dd8fc0e7bd1b0765947fc01531afc03f2d12a7e2f50d53dc45c20dc5378f666e","observation_id":"568b284b-13fd-4a3d-8c05-45daa869d3de","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Kaygorodov, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:613300360ef1c5d7de61dc70b2ebeb552db013c45f1a54a7746619a7bbef80e7","observation_id":"20e7b15c-cbd1-4e78-945d-4c853db37489","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Kaygorodov, V","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:dc155c8f22272143ec8ae4d3fb67846ef36ca5ba2cca3bd5a78667fe8dff551b","observation_id":"2356c951-dac1-462d-83cb-9c275a51b56b","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:d6d4ae971cbdffdede0472774067be2bb11eadf63458e7b80b0e0ff0ff4bd872","observation_id":"f0e60f8d-6575-46ff-a626-88e5801e721e","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:2001b7934fe0daac29b37a3d9a284293c1cc9a6aa81fe42f9a34e1607952f594","observation_id":"10ceb463-c2b4-4341-b1a7-d0bf9c9357dd","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:3d412b07e2220e74730992146afee447701621102f6c2a3a07b958da708387c3","observation_id":"6b9314e6-3548-4756-90c0-cb215a9ca9df","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:9fd96861d276a7543d45a554cf67f4b0ebe4f2d0dfc17b99bfd17a5d49a118db","observation_id":"8d2dcdc2-19a8-4cb1-993f-7cfe7c6110de","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:072c2a198f048592f49fc6c8cc306bb4f37dd2255f2d489b769f079c7abf11f4","observation_id":"2cf6b09c-41d1-4a4c-b900-31b2f0f73010","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Laraiedh, S","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:b5e873952072ca6bb6a39a6ae66eeea5cf0ecbfe2b9bb7e0e46a4ee861a8d07e","observation_id":"4cff43c3-e31d-47c2-9a2a-70b8f000a8d3","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:34ed49ba50599c80e24abc1a9f5f3e1a0a9f9da6c7fef79470fa7727ee080370","observation_id":"b97a4dba-0e44-4150-bd11-9571c7059fcb","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"ˇSnobl, P","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:d9cd92f19964d73f654dfe14cf4d44789cbb6adbdff7cb114fb55ad4f2faf6d7","observation_id":"d4762215-12b8-485d-bd68-b1c2634e9bdd","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:e256201b2e59134138456deb308a8bdc082e0a027796c694fe162a16f1f10dfb","observation_id":"36afda47-ce8f-4ec3-9317-27efd8c2493d","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Xu,Quadratic conformal superalgebras, J","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:7db94e6780ec86d778ba508f65255544bd08d7c99026c031b18f688171f1126b","observation_id":"f0721fbc-7ea6-4490-b05a-98b82aa2368a","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0208177","last_updated":"2002-08-23T05:08:47Z","snapshot_observed_at":"2026-08-04T19:08:25.313333Z","submitted_at":"2002-08-23T05:08:47Z","title":"Construction of Gel'fand-Dorfman Bialgebras from Classical R-Matrices","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0208177","snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Xu,Construction of Gel’fand–Dorfman bialgebras from classicalR-matrices, arXiv:math/0208177","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"cited_paper":"/paper/math/0208177","citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:4af9535bfc1fc10c13145f4f4808fe3cfb615637ebf91b4ec15b890405698dcb","observation_id":"e3e9e01b-e666-4640-a317-4295fe415e4f","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:9a26aeb07c902033f16689cdf7b78f4e3c32df5a4481b87705ff958f0c228a6c","observation_id":"34115df3-90e7-4cc0-bb44-162ae9e86068","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Zhang, Z","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:5b0c1b1f1d93de95d76b03ec720f96a09406983adb99d51e2441f5be9473336f","observation_id":"ccfed48e-594d-4aeb-b354-50fa66566e23","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T18:28:26.501572Z","title":"Zhang, Z","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-14T18:28:26.501572Z"},"links":{"citing_paper":"/paper/2607.09672"},"observation_digest":"sha256:bbc823171cc164ea1b8e2f2b64cb9fbe9dbd8c490c118efa686ed98b304a4ac0","observation_id":"dceeffac-0a8e-4539-bd55-1c0f063dfa71","resolution":{"observed_at":"2026-07-14T18:28:26.501572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.09672","last_updated":"2026-06-03T13:38:56Z","latest_version":1,"primary_category":"math.RA","snapshot_observed_at":"2026-07-16T23:17:58.290525Z","submitted_at":"2026-06-03T13:38:56Z","title":"Gelfand--Dorfman Algebras: Nilpotency, Solvability, Construction and Classification"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":34,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":34},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2607.09672."}