{"as_of":"2026-08-18T00:03:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b899428b66c50e15ca8e797ed70246bb7a5265fff86827be81cfc257037b1099","coverage":[{"denominator":35,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":35,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T23:37:46.220039Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T22:15:57.817587Z","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":"2026-05-22T15:56:45.811143Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"cited_work":{"arxiv_id":"2505.04378","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.04378","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Z 3 2-grading of the Lie algebraG 2 and related color algebras","venue":null,"work_id":"7930280c-bc89-4b01-8309-e935c6729aab","year":null},"citing_paper":{"arxiv_id":"2505.07923","last_updated":"2026-06-09T17:45:37Z","snapshot_observed_at":"2026-08-15T22:06:04.713807Z","submitted_at":"2025-05-12T17:27:01Z","title":"A Superalgebra Within: representations of lightest standard model particles form a $\\mathbb{Z}_2^5$-graded algebra","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-05-22T15:55:40.812974Z"},"links":{"cited_paper":"/paper/2505.04378","citing_paper":"/paper/2505.07923"},"observation_digest":"sha256:e9be9f04055be66465a4a432c79086a5870962811de943042c948ab1c91a1881","observation_id":"b8e8b058-8498-43d4-bc17-44266e39e142","resolution":{"observed_at":"2026-05-22T15:56:45.814754Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.04378","snapshot_observed_at":"2026-08-15T22:15:57.817587Z","title":"Z 3 2-grading of the Lie algebraG 2 and related color algebras,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.07923","last_updated":"2026-06-09T17:45:37Z","snapshot_observed_at":"2026-08-15T22:06:04.713807Z","submitted_at":"2025-05-12T17:27:01Z","title":"A Superalgebra Within: representations of lightest standard model particles form a $\\mathbb{Z}_2^5$-graded algebra","version":4},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-15T22:15:57.817587Z"},"links":{"cited_paper":"/paper/2505.04378","citing_paper":"/paper/2505.07923"},"observation_digest":"sha256:e9a2ae2adfbee372b8e379e6fb5990fdb4253be0e0760812787de3ec35bb56a9","observation_id":"292c6ebc-1247-4f03-8de3-0520a880c77c","resolution":{"observed_at":"2026-08-15T22:15:57.817587Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"cited_work":{"arxiv_id":"2505.04378","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.04378","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Z 3 2-grading of the Lie algebraG 2 and related color algebras","venue":null,"work_id":"7930280c-bc89-4b01-8309-e935c6729aab","year":null},"citing_paper":{"arxiv_id":"2604.08900","last_updated":"2026-08-08T21:15:44Z","snapshot_observed_at":"2026-08-13T23:27:38.112598Z","submitted_at":"2026-04-10T03:08:29Z","title":"Graded Casimir Elements and Central Extensions of Color Lie Algebras","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-10T17:40:45.739217Z"},"links":{"cited_paper":"/paper/2505.04378","citing_paper":"/paper/2604.08900"},"observation_digest":"sha256:fff06fb2456683928f607612ff29150f9e4a34b1fdeb1552c37af5ea14dd521a","observation_id":"c397cbd0-869e-4bc4-8e68-b591891fab5b","resolution":{"observed_at":"2026-05-11T06:20:58.670197Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.04378/citation-record","integrity":"/paper/2505.04378/integrity","json":"/paper/2505.04378/citation-record.json","paper":"/paper/2505.04378"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-15T23:37:46.777552Z","title":null,"venue":null,"work_id":"614f445f-8082-455c-803f-72fa1cc3e1d5","year":1978},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.060553Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:9bb10f54b25f6bc45ecc37c01f7fd9985b2d10c32e8898053c54987eec9feba4","observation_id":"341af98c-8ec3-44de-a3f5-dd9134a2c198","resolution":{"observed_at":"2026-08-15T23:37:46.782148Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.763102Z","title":null,"venue":null,"work_id":"5c07ba15-6d52-4dcd-8591-892e6bd5e828","year":1978},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.065986Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:40ac8c8056f506bd2d2a03b52dd5f9b9fd50f7335f29efc33d05efdeabe33e7d","observation_id":"c4f19bda-fe7e-4d8b-89b6-9862c14f5b23","resolution":{"observed_at":"2026-08-15T23:37:46.767557Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.748177Z","title":null,"venue":null,"work_id":"431074be-1a47-45df-9cb3-b63aef307cb4","year":1979},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.070378Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:520ae172e7b83b8df0173336cb1f6c3f5d3f18a36989abae27ae2233be960dc4","observation_id":"3a0023a5-ceff-489e-a082-137b7b2512e5","resolution":{"observed_at":"2026-08-15T23:37:46.753221Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.733007Z","title":null,"venue":null,"work_id":"815dc445-a6bf-4dbe-a10a-5dee83e89a37","year":1978},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.075335Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:a7c55488e4b705cf8c6bcbe495642c5742bac697990264a37eda64ac84fd7f55","observation_id":"33b8bfbe-9986-4706-af11-4d2a330b40a2","resolution":{"observed_at":"2026-08-15T23:37:46.737568Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.718230Z","title":"Quantum Grav","venue":null,"work_id":"801e7f09-6ea7-4cef-86f9-b568780cd82d","year":1985},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.080258Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:8faca6db9eded31346439c5c26506d324b053d2215ddcb45e1fe22e7e7bc7e60","observation_id":"2f2c076c-be53-457e-b16c-1756b204819d","resolution":{"observed_at":"2026-08-15T23:37:46.722877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.702992Z","title":null,"venue":null,"work_id":"fecd4d4f-fdf3-4cdf-956a-2a77ff27dd2d","year":2016},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.085064Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:1e7dfed438d4b7ac318777ee3159b966ca81be2882346597029b5203cbe08c69","observation_id":"266607ee-0757-4b3d-a5a8-215ed83e6185","resolution":{"observed_at":"2026-08-15T23:37:46.708028Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.687611Z","title":null,"venue":null,"work_id":"ffeb48e5-319c-4f1f-88d2-71d8e3e1c6d1","year":2020},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.090326Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:c0468c64b8597237d1551def34cfb60f99975479c288d66421139e9f95d70f83","observation_id":"5c7449c1-e132-4d28-910d-a144c8be7a71","resolution":{"observed_at":"2026-08-15T23:37:46.692648Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.672961Z","title":null,"venue":null,"work_id":"76013fbf-7487-4af7-bada-52285c75f2cf","year":2020},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.095293Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:6762a13dd33d883a7dc884fbd5df38ebeabae12af3a1b2eac1da781408a76138","observation_id":"19862a2e-b663-4fa7-a40e-0b56f76522ca","resolution":{"observed_at":"2026-08-15T23:37:46.677583Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.658006Z","title":null,"venue":null,"work_id":"f1fa37a3-70f9-4a7a-ab7c-aa99287252bc","year":2021},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.099741Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:b5b2d44297379a7285310de3513802ceb279d462cc296c8723be802c22646d7d","observation_id":"7ee8a791-26d9-43d6-bd49-9a82718b5333","resolution":{"observed_at":"2026-08-15T23:37:46.662480Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.643512Z","title":null,"venue":null,"work_id":"5523131d-2050-4066-bbea-69e602f5a33a","year":2021},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.104094Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:29659cfaf2cc10ca07181bc80aa8c20636e97de0a053f3ed1e9da28160df5e13","observation_id":"d3953c5b-62b2-4fd8-bdac-5c36c394ceb0","resolution":{"observed_at":"2026-08-15T23:37:46.648413Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.628736Z","title":null,"venue":null,"work_id":"c857c77c-9f0f-4b3f-9e35-c92c0ed0989a","year":2022},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.108645Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:38cbcb9992269c45326da33bc8e49243dcd7492b10148fd051eaba6fb6b6fce5","observation_id":"433f8819-ad52-4d55-8bd9-86d07fd52b79","resolution":{"observed_at":"2026-08-15T23:37:46.633396Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.613818Z","title":null,"venue":null,"work_id":"bb14aff5-c59a-4ab7-9c36-aa45d0de4c4b","year":2023},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.113034Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:39f2046bdabcab9c4f2e329c9f428e0e7cda4d9962038cf7fec84e38c0166341","observation_id":"5dfb143d-4de9-497a-906d-bdc83ed658cc","resolution":{"observed_at":"2026-08-15T23:37:46.618605Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.598496Z","title":null,"venue":null,"work_id":"a34fec45-94ac-42a9-a917-6aa34e4cd254","year":2024},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.117882Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:98c48535947d5ea69dee94e5fecd21d04f0c086ae8e27b271c7a5cb3c4c430cc","observation_id":"97cac5b7-b68a-4dd3-b88e-d6cc5191cb77","resolution":{"observed_at":"2026-08-15T23:37:46.603787Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.05596","last_updated":"2019-12-11T20:10:33Z","snapshot_observed_at":"2026-08-17T14:54:08.158059Z","submitted_at":"2019-12-11T20:10:33Z","title":"The octonionically-induced ${\\cal N}=7$ exceptional $G(3)$ superconformal quantum mechanics","version":1},"cited_work":{"arxiv_id":"1912.05596","doi":null,"metadata_source":"pith","pith_arxiv_id":"1912.05596","snapshot_observed_at":"2026-08-15T23:37:46.282867Z","title":"The octonionically-induced ${\\cal N}=7$ exceptional $G(3)$ superconformal quantum mechanics","venue":"hep-th","work_id":"1ab4f830-b786-47ff-a5b5-8b3064ac60b4","year":2019},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.122469Z"},"links":{"cited_paper":"/paper/1912.05596","citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:b84a15266b203685f7c906ee0d1f6b49ee29ab5e2741c78455db1baddf903c1c","observation_id":"60eab0a4-7062-4f7d-ac72-560c8f4c7721","resolution":{"observed_at":"2026-08-15T23:37:46.288236Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.583505Z","title":null,"venue":null,"work_id":"36f39cfe-d3ca-4731-b7c0-ff8f6c03e71e","year":2018},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.127543Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:94cb13c51330f4886248cc69485d725f516b2b51eada86343ddf7845563dc96c","observation_id":"56143a16-bb08-4ddf-a897-41dc025feff5","resolution":{"observed_at":"2026-08-15T23:37:46.588337Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.568421Z","title":null,"venue":null,"work_id":"6baab420-d004-412b-8263-69e13f972dbb","year":2021},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.132107Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:e2312eb2700c159b3a4d62e7376ad876d6cb012f965719d315009bafdd460542","observation_id":"1821a41a-0d11-42a5-9c6f-05ba274984f8","resolution":{"observed_at":"2026-08-15T23:37:46.573206Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.553926Z","title":null,"venue":null,"work_id":"f91faf47-be78-4ab8-9bab-57bd24a2cd3b","year":2020},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.136583Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:ea90be27437ce4c92f1c2a7e3e8974ecd09c375674f056448636df79a4ff39ec","observation_id":"f57c25ec-e03c-4758-9c21-c3abcb268e9a","resolution":{"observed_at":"2026-08-15T23:37:46.558605Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.538272Z","title":null,"venue":null,"work_id":"5d5fbb6d-6284-452c-a8bd-28c7c0cbea11","year":2024},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.141100Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:2090c2850ccd980e95481a43c08c7f15aa25698825a896c498be3e9be15cc617","observation_id":"814af8c2-2360-4938-aa51-34cb0312624b","resolution":{"observed_at":"2026-08-15T23:37:46.543573Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.523645Z","title":null,"venue":null,"work_id":"35947d15-3743-4631-b528-f0523e02d91c","year":2013},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.145456Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:8c7d18c155f5c48c9a1d778b5a8d67e6e4366cc885e5ef25bbab1f722b847c76","observation_id":"b385f357-8a33-4586-945b-21ded4bcc007","resolution":{"observed_at":"2026-08-15T23:37:46.528482Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.508963Z","title":null,"venue":null,"work_id":"aa4362e7-991f-4895-b40a-592775e5ff1b","year":2006},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.150646Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:1033a99d2a9a62ea5d83d0830b51b2cf165db902459dde7f8af44c87b6afeb30","observation_id":"6cb83b20-d4b6-4760-b6a6-d2157df7a6cb","resolution":{"observed_at":"2026-08-15T23:37:46.513744Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.493863Z","title":"Algebra 37 885–893","venue":null,"work_id":"203713c9-3c2e-4450-9b60-7eff727bb323","year":2009},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.155217Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:a514b5155b950b8481fe44d872904570b18200bd5487c5bd8e81ba496c0ef85d","observation_id":"dace075b-53c5-4e08-a8c6-3ef6cdec0ac6","resolution":{"observed_at":"2026-08-15T23:37:46.498762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.478447Z","title":null,"venue":null,"work_id":"5fb2eade-c634-4e8d-9bb5-b346c417310f","year":2010},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.159458Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:8da98e998845bb7442c521b2ee0284fe5e746cf069a7b4df58df9138826a7328","observation_id":"fd13c6e9-9abf-4517-8206-d75ad7713294","resolution":{"observed_at":"2026-08-15T23:37:46.483350Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.463439Z","title":"Algebra 512 382–426","venue":null,"work_id":"9594edd0-d244-4bef-a10a-875179529f66","year":2018},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.163739Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:68682f0e86e5c815d38f30eea690debdb012bfdb980e965a44f2914c47b8bea5","observation_id":"ff354e32-c53e-4bca-ad80-e6abc94bd7e2","resolution":{"observed_at":"2026-08-15T23:37:46.467904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.448878Z","title":"https://mathworld.wolfram.com/FanoPlane.html","venue":null,"work_id":"66d83553-5cf5-432b-8bef-a0ebcbef477a","year":null},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.168812Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:0eafc0dd02385dcfb1fdf3d11198f24b2bbe6cd51931063999d55bea91c61e03","observation_id":"d915ab18-aae4-4b37-a71b-01c5636dc8b3","resolution":{"observed_at":"2026-08-15T23:37:46.453598Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.434282Z","title":null,"venue":null,"work_id":"1bba3007-3fa1-4319-aac3-3dad38257def","year":1999},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.173345Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:f14c0e56ff7deacbbf256dc6822f4428fc556b7e24df096dab4f8c41fb25557d","observation_id":"82487496-799e-46bb-a099-f8036c653207","resolution":{"observed_at":"2026-08-15T23:37:46.438844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.419523Z","title":null,"venue":null,"work_id":"bf4abfdc-5e75-4404-8d89-103699b26eb9","year":2002},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.178734Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:7f05b4c662d945f85b36d1c00fb4682a9119c5cb2ef9d23ce81aaf6bc875d93b","observation_id":"56024294-b794-4c51-a5e0-49a0e5e64424","resolution":{"observed_at":"2026-08-15T23:37:46.424125Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.405161Z","title":null,"venue":null,"work_id":"705cb0a9-0a89-4c34-b61f-c2505486bd22","year":2024},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.183066Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:3e2b0647bc77bee95987eef2a1934ef802ddf5b257f07a74691d73a5af4e6c92","observation_id":"8ce46905-b9ba-47b4-a037-f246bcfc4cb4","resolution":{"observed_at":"2026-08-15T23:37:46.409541Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.02492","last_updated":"2025-01-05T09:58:00Z","snapshot_observed_at":"2026-08-16T12:59:41.713991Z","submitted_at":"2025-01-05T09:58:00Z","title":"New Lie algebras over the group $\\mathbb Z_2^3$","version":1},"cited_work":{"arxiv_id":"2501.02492","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.02492","snapshot_observed_at":"2026-08-15T23:37:46.257401Z","title":"New Lie algebras over the group $\\mathbb Z_2^3$","venue":"math.RA","work_id":"34e18bf8-9a13-443b-aafc-84a3b40421a6","year":2025},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.187623Z"},"links":{"cited_paper":"/paper/2501.02492","citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:ddee33a1eb2fdaf455e21fc01e1e27893eeb8627f9733f6ea699f741a4718c8c","observation_id":"14eef7d1-f4fb-483b-b6a8-cf430436183a","resolution":{"observed_at":"2026-08-15T23:37:46.265295Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.390872Z","title":null,"venue":null,"work_id":"01f4fc04-e4a3-4899-8982-1b0aa65216f7","year":2023},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.192944Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:bbd9d094d15708657172fdd369cbf1f8c15daf3f8c3b26262ca9dab97f8ceca3","observation_id":"f2b5d2d4-0fe5-41d4-a7cc-c5a82357246a","resolution":{"observed_at":"2026-08-15T23:37:46.395205Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.375198Z","title":"Algebra 207 342–354","venue":null,"work_id":"5dfd2111-8df5-46a1-b42d-7d4526d83d17","year":1998},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.197595Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:efedea9a15de9ada7aaa9ec8cd81729b96d2121770a502c21fe70ae74eb6a218","observation_id":"dc3e6fc1-3e9b-4503-b084-8b74775db78f","resolution":{"observed_at":"2026-08-15T23:37:46.379981Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.359860Z","title":null,"venue":null,"work_id":"44eb1a7a-c2b1-4b1e-b8e5-a6866ca7fd68","year":2000},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.202095Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:890073744d4fdeef59fe665be09b13aed363076fbd4529ef80545fee3cdf8f18","observation_id":"14cb68fe-b246-46d3-936e-87a85ffde8ee","resolution":{"observed_at":"2026-08-15T23:37:46.364551Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.343994Z","title":"Lie Theory 33 1005–1008","venue":null,"work_id":"6f5502b7-cf70-4c6d-b8b3-291a290bca2e","year":2023},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.206346Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:2afa89fda80c1f48e0dbb5880aacf5151ce975593d7f56e39697517bcd85bd83","observation_id":"c70ac42d-9d85-4dcd-a470-818f8e650c62","resolution":{"observed_at":"2026-08-15T23:37:46.349273Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.329439Z","title":"Japan Acad., Ser","venue":null,"work_id":"c20b7164-aa08-4c9d-a520-5d873aad90f8","year":1983},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.210866Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:7092708c0ec96f57ad142efb9f912d5ea789948dbeadfe6b81ad9405545e210d","observation_id":"ed86c37a-50f6-48f6-8246-4f580be59d15","resolution":{"observed_at":"2026-08-15T23:37:46.333954Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.314242Z","title":null,"venue":null,"work_id":"b777bd25-3ce8-45c2-9eee-87dad070a394","year":2021},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.215299Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:2390de9a9d54e9e908b95a467d6304a726cf0efada3e966bfc22918b6523a603","observation_id":"9b0108ee-3d1c-403d-92a6-af4478e227c4","resolution":{"observed_at":"2026-08-15T23:37:46.318944Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T23:37:46.298614Z","title":null,"venue":null,"work_id":"848c9c32-4ef9-45f9-b800-234c9f202fa9","year":2021},"citing_paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T23:37:46.220039Z"},"links":{"citing_paper":"/paper/2505.04378"},"observation_digest":"sha256:1deb7e1a33ba340803d6dc6e2c5ee083c27d8a86a639806dca7200e9c552cff2","observation_id":"e0fcbda7-8e43-425d-8881-decc89e40515","resolution":{"observed_at":"2026-08-15T23:37:46.303154Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.04378","last_updated":"2025-05-07T12:59:32Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-15T23:28:10.194539Z","submitted_at":"2025-05-07T12:59:32Z","title":"$\\mathbb{Z}_2^3$-grading of the Lie algebra $G_2$ and related color algebras"},"reference_resolution":{"displayed":35,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":26,"verified_exact":2,"verified_fuzzy":7},"total_outbound_references":35},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 3 inbound Pith citation observations for arXiv:2505.04378."}