{"as_of":"2026-08-07T18:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3bd1b4b6b083d2d3ef6f93b8bbb59ab131df89813ad5341963939e112e2fe46a","coverage":[{"denominator":42,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":42,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T04:20:56.712948Z","state":"measured"},{"denominator":42,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":42,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2508.03815/citation-record","integrity":"/paper/2508.03815/integrity","json":"/paper/2508.03815/citation-record.json","paper":"/paper/2508.03815"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.18754","last_updated":"2024-11-27T21:04:45Z","snapshot_observed_at":"2026-08-06T20:29:57.561938Z","submitted_at":"2024-11-27T21:04:45Z","title":"A string-like realization of hyperbolic Kac-Moody algebras","version":1},"cited_work":{"arxiv_id":"2411.18754","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.18754","snapshot_observed_at":"2026-08-06T04:20:59.635993Z","title":"A string-like realization of hyperbolic Kac-Moody algebras","venue":"hep-th","work_id":"d3c4344c-e6e6-4d06-a653-2dae85334f8f","year":2024},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:53.649478Z"},"links":{"cited_paper":"/paper/2411.18754","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:4d3a9462d2ec88f9db233d4afbe89a047b4530c22ead55a28f9fef48c572f6e9","observation_id":"0087b2f6-077b-4095-b3fc-75ccd8d7c543","resolution":{"observed_at":"2026-08-06T04:20:59.775199Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T04:20:53.734586Z","title":null,"venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:53.734586Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:d61a3777c45d35339714bcbd80c80684bb9e1d84828c2dbb2ddb5975f9071049","observation_id":"73e4e0ff-cb50-4183-bccc-bd4c66df2dcc","resolution":{"observed_at":"2026-08-06T04:20:53.734586Z","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":"2026-08-06T04:20:53.820085Z","title":null,"venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:53.820085Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:137790371297c045b3058cf0aaecbea509cac5ea28862b919b10a413dabb7fa5","observation_id":"8bcc86a1-4336-4895-a925-10d76c05f215","resolution":{"observed_at":"2026-08-06T04:20:53.820085Z","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":"2026-08-06T04:20:53.906335Z","title":"Goddard, A","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:53.906335Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:adf32217dfdd7edb4ac53d17ec69c8835a5b1770da0752b400465a548bc8c5c2","observation_id":"205b1a08-26e3-4bcb-a629-77032ab19365","resolution":{"observed_at":"2026-08-06T04:20:53.906335Z","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":"2026-08-06T04:20:53.981532Z","title":"Goddard and D","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:53.981532Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:0d2161ed5b517227e74e4073fe815eb7136fd1d0dba8fef7f8d90aead1fbbc75","observation_id":"955303e7-8ffc-4e80-a5e0-61a8241d3e02","resolution":{"observed_at":"2026-08-06T04:20:53.981532Z","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":"2026-08-06T04:20:54.053952Z","title":"Witten,Topological tools in ten-dimensional physics, Int","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.053952Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:1c8de757af61913fcae81e5b6284b16290109c2b651c84ca90a22635fbfc8386","observation_id":"c4c7b6c3-60ec-4f28-88e6-1f5fc3628cfc","resolution":{"observed_at":"2026-08-06T04:20:54.053952Z","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":"2026-08-06T04:20:54.110652Z","title":"Del Giudice, P","venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.110652Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:e564c93f6bb75ce1f97d72c4de1b03ec4ba92887eede9cfe1ef5e693cd88b515","observation_id":"3ce42fe0-6926-46bd-8813-7fa94617f91f","resolution":{"observed_at":"2026-08-06T04:20:54.110652Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9406175","last_updated":"1994-06-27T12:09:42Z","snapshot_observed_at":"2026-07-07T05:05:51.345414Z","submitted_at":"1994-06-27T12:09:42Z","title":"On $E_{10}$ and the DDF construction","version":1},"cited_work":{"arxiv_id":"hep-th/9406175","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9406175","snapshot_observed_at":"2026-08-06T04:20:59.347709Z","title":"On $E_{10}$ and the DDF construction","venue":"hep-th","work_id":"d819bb1f-15d1-4f1c-a5fc-84e3d89d790f","year":1994},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.202666Z"},"links":{"cited_paper":"/paper/hep-th/9406175","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:b8fb10194446b3770e0081a3ac68026e016d6466110d21aeca8524069c0cb008","observation_id":"bfcb6e01-7a1c-451c-a682-964a4832688d","resolution":{"observed_at":"2026-08-06T04:20:59.534190Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9608014","last_updated":"1997-04-29T18:04:46Z","snapshot_observed_at":"2026-07-07T05:11:25.060000Z","submitted_at":"1996-08-02T15:07:10Z","title":"An Affine String Vertex Operator Construction at Arbitrary Level","version":3},"cited_work":{"arxiv_id":"hep-th/9608014","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9608014","snapshot_observed_at":"2026-08-06T04:20:59.109424Z","title":"An Affine String Vertex Operator Construction at Arbitrary Level","venue":"hep-th","work_id":"acbf527d-2872-4980-bdd1-dbd98e0f4231","year":1996},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.264908Z"},"links":{"cited_paper":"/paper/hep-th/9608014","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:47c7e6f0fa8ea58b15e24052341490e87686656799409a5f41e789c41aee146e","observation_id":"cd857a12-f990-4bb5-a94f-82bcd0f8a23b","resolution":{"observed_at":"2026-08-06T04:20:59.207157Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T04:20:54.331298Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.331298Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:c894a19f2172e15b1e7921c4eaa0c0869acdb3755174c34326136b73a5871e5d","observation_id":"8b5275d4-c8b6-49a0-86e8-212e2038ae02","resolution":{"observed_at":"2026-08-06T04:20:54.331298Z","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":"2026-08-06T04:20:54.406327Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.406327Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:7204f79a567522fa79d1bb2d7d1ad8d9670a232d17d168354e71be0bae756a10","observation_id":"0a3e8410-8632-4477-aad9-5b25e22c2582","resolution":{"observed_at":"2026-08-06T04:20:54.406327Z","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":"2026-08-06T04:20:54.477897Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.477897Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:afe6e1eab9421e829af3bb00620c3e195b82cd88cb96d219a7fd407737619edc","observation_id":"15336b2e-e8d3-432c-a6cd-a21fe0c4cf81","resolution":{"observed_at":"2026-08-06T04:20:54.477897Z","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":"2026-08-06T04:20:54.521477Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.521477Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:95947a8b7116c894f569f25856f3caeaca4ea0d28aa6142b4231d4298f86d658","observation_id":"6f406fef-c706-4366-88c7-e2f80a731994","resolution":{"observed_at":"2026-08-06T04:20:54.521477Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9612210","last_updated":"1996-12-20T10:48:06Z","snapshot_observed_at":"2026-08-03T17:11:04.934842Z","submitted_at":"1996-12-20T10:48:06Z","title":"On Root Multiplicities of Some Hyperbolic Kac-Moody Algebras","version":1},"cited_work":{"arxiv_id":"hep-th/9612210","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9612210","snapshot_observed_at":"2026-08-06T04:20:58.780531Z","title":"On Root Multiplicities of Some Hyperbolic Kac-Moody Algebras","venue":"hep-th","work_id":"bd768ff0-6bd5-4c6a-980f-8648585ccd04","year":1996},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.567853Z"},"links":{"cited_paper":"/paper/hep-th/9612210","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:1014be86003d2b2c1105ab59b0205064a0914ab3008649b0a95fa0467edaa6b2","observation_id":"3b47031e-c0dd-47d2-8b02-3108f0f2c966","resolution":{"observed_at":"2026-08-06T04:20:58.961715Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T04:20:54.658821Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.658821Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:2ab7820ae7d26d5cf57f6a84d6bde8e0b6fcd6b400da73d722cc3b0fe8a9d669","observation_id":"a49d26f2-1025-4c01-bbe6-99f5962f670d","resolution":{"observed_at":"2026-08-06T04:20:54.658821Z","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":"2026-08-06T04:20:54.747712Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.747712Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:70ef63e5dd37814d647bfec89eb9ee69cfbad20300d0d269965bf9bdd7304c90","observation_id":"9cbbb9c3-0092-4eb8-b4f4-547c1c5386cb","resolution":{"observed_at":"2026-08-06T04:20:54.747712Z","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":"2026-08-06T04:20:54.814589Z","title":null,"venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.814589Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:f9c6b4ffad1542e6a8caed5eedea915c7ac4d9a33b77fed986bdbede8313e98b","observation_id":"417da8ff-50ce-49e4-be9e-c0a372b83e51","resolution":{"observed_at":"2026-08-06T04:20:54.814589Z","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":"2026-08-06T04:20:54.939597Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:54.939597Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:a9ab43d1bda2361f3baacc421d8a57d2cbe777644a4ba7df8c9b0637fab36bfd","observation_id":"036daf9e-3f4e-4149-b63c-8d7a9d568c17","resolution":{"observed_at":"2026-08-06T04:20:54.939597Z","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":"2026-08-06T04:20:55.024440Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.024440Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:537882deab51b1ea0d8337cdee72bf99cf4565d8e2b9c5c5c4f18f14aac6ab7c","observation_id":"f76a314d-46c0-4976-a1cb-1191652b6efb","resolution":{"observed_at":"2026-08-06T04:20:55.024440Z","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":"2026-08-06T04:20:55.086889Z","title":"Julia, Infinite Lie algebras in physics, in Johns Hopkins Workshop on Current Problems in Particle Physics: Unified theories and Beyond, Johns Hopkins University, Baltimore (1981)","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.086889Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:dc0ad5e62253ff28554fe180949e2b7b7a109a0ea0783793c4888d11750df0c3","observation_id":"3ea29bdd-80bf-4e9c-9c10-c60150bd9d88","resolution":{"observed_at":"2026-08-06T04:20:55.086889Z","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":"2026-08-06T04:20:55.168182Z","title":"Breitenlohner and D","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.168182Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:7f814f980c78cb9ee075e15c6f042011e8eeaa8220ea915af29bc40e15082d04","observation_id":"3c443e8f-e4ad-4db9-ae06-07f0710db7ee","resolution":{"observed_at":"2026-08-06T04:20:55.168182Z","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":"2026-08-06T04:20:55.228994Z","title":"Nicolai,Two-dimensional gravities and supergravities as integrable systems, in Springer Lec- ture Notes in Physics 396 (1991), eds","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.228994Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:f18350c3ab27e8c541e162714f5818fd4520269dd129d5d5d172571d0bccf661","observation_id":"7403eb6f-ce6c-48e9-982c-0804c2e0d30f","resolution":{"observed_at":"2026-08-06T04:20:55.228994Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0705.2606","last_updated":"2007-11-05T22:31:50Z","snapshot_observed_at":"2026-08-04T07:14:19.445500Z","submitted_at":"2007-05-18T13:54:38Z","title":"Gauging hidden symmetries in two dimensions","version":2},"cited_work":{"arxiv_id":"0705.2606","doi":null,"metadata_source":"pith","pith_arxiv_id":"0705.2606","snapshot_observed_at":"2026-08-06T04:20:58.465860Z","title":"Gauging hidden symmetries in two dimensions","venue":"hep-th","work_id":"e944bdea-6d23-4530-abad-427661162a6c","year":2007},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.379255Z"},"links":{"cited_paper":"/paper/0705.2606","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:a64c13e3cdef1c96d5ad612ce2637e98f928c682f4dd10674b38966090eaff87","observation_id":"89d9de1c-6054-4a9c-b388-e14ec655a15e","resolution":{"observed_at":"2026-08-06T04:20:58.554324Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.12748","last_updated":"2024-07-17T17:10:00Z","snapshot_observed_at":"2026-08-05T17:52:12.117969Z","submitted_at":"2024-07-17T17:10:00Z","title":"$\\mathfrak{k}$-structure of basic representation of affine algebras","version":1},"cited_work":{"arxiv_id":"2407.12748","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.12748","snapshot_observed_at":"2026-08-06T04:20:58.239630Z","title":"$\\mathfrak{k}$-structure of basic representation of affine algebras","venue":"math.RT","work_id":"5f801de5-8591-4572-8bff-cb163e85a8f3","year":2024},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.469048Z"},"links":{"cited_paper":"/paper/2407.12748","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:e483e00f5f83debb499c9d636b05fa9cd387483639d3bdc247324087aae15afe","observation_id":"c681e5e6-0b43-4289-9535-49968c764046","resolution":{"observed_at":"2026-08-06T04:20:58.353744Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0801.1294","last_updated":"2008-02-14T00:05:12Z","snapshot_observed_at":"2026-07-06T01:33:49.567180Z","submitted_at":"2008-01-08T18:05:28Z","title":"Gauged Supergravities, Tensor Hierarchies, and M-Theory","version":2},"cited_work":{"arxiv_id":"0801.1294","doi":null,"metadata_source":"pith","pith_arxiv_id":"0801.1294","snapshot_observed_at":"2026-08-06T04:20:57.950564Z","title":"Gauged Supergravities, Tensor Hierarchies, and M-Theory","venue":"hep-th","work_id":"1ba9a4e5-024a-4f03-8e43-20a776fe60fc","year":2008},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.532741Z"},"links":{"cited_paper":"/paper/0801.1294","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:c0337cc882be1686d1c91155407ecfd7506a59e64e5fecab2008b6c6360963fd","observation_id":"86d2d9c0-f9c1-4194-a4a2-2a86d3be2410","resolution":{"observed_at":"2026-08-06T04:20:58.080980Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.12118","last_updated":"2021-05-12T09:44:38Z","snapshot_observed_at":"2026-08-07T01:56:39.121085Z","submitted_at":"2021-03-22T18:23:32Z","title":"E$_9$ exceptional field theory II. The complete dynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.12118","snapshot_observed_at":"2026-08-06T04:20:55.609201Z","title":"Bossard, F","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.609201Z"},"links":{"cited_paper":"/paper/2103.12118","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:9ba0f1358f4859ecc212f66e11c42fb397b267514d790aba115b462fbe67200f","observation_id":"47000a9b-e5a1-4a34-aff7-95a7a8a5e5b6","resolution":{"observed_at":"2026-08-06T04:20:55.609201Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.04055","last_updated":"2024-06-12T16:23:33Z","snapshot_observed_at":"2026-08-03T14:10:21.176359Z","submitted_at":"2024-02-06T15:01:06Z","title":"Teleparallel Geroch geometry","version":2},"cited_work":{"arxiv_id":"2402.04055","doi":null,"metadata_source":"pith","pith_arxiv_id":"2402.04055","snapshot_observed_at":"2026-08-06T04:20:57.728257Z","title":"Teleparallel Geroch geometry","venue":"hep-th","work_id":"08d0a0bf-5073-43aa-817d-ec46142c9f65","year":2024},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.651014Z"},"links":{"cited_paper":"/paper/2402.04055","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:41b71a1e134974990b043677625bd4e5e49d97d42b806efc78ac7777d8dc22b9","observation_id":"53e0163b-9724-4611-b6ac-a9fa67872ca0","resolution":{"observed_at":"2026-08-06T04:20:57.835409Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2103.02476","last_updated":"2021-11-27T11:26:38Z","snapshot_observed_at":"2026-08-07T12:12:17.816317Z","submitted_at":"2021-03-03T15:38:07Z","title":"Tensor hierarchy algebra extensions of over-extended Kac--Moody algebras","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.02476","snapshot_observed_at":"2026-08-06T04:20:55.745508Z","title":"Cederwall and J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.745508Z"},"links":{"cited_paper":"/paper/2103.02476","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:eb2714b36a0b4df83bf8817771feb5ab46c139459b78d5cb3cbb71cf5f358afe","observation_id":"29bb2455-d6de-41c7-beab-a11732b2c4ed","resolution":{"observed_at":"2026-08-06T04:20:55.745508Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0207267","last_updated":"2002-07-30T11:39:09Z","snapshot_observed_at":"2026-08-03T06:40:30.000411Z","submitted_at":"2002-07-30T11:39:09Z","title":"E10 and a \"small tension expansion\" of M Theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0207267","snapshot_observed_at":"2026-08-06T04:20:55.830484Z","title":"Damour, M","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.830484Z"},"links":{"cited_paper":"/paper/hep-th/0207267","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:d06a72dcff31260c2f8ff4017a4c0376af9e834d913d9d347f4cf7775603a3fa","observation_id":"c49b1f3b-749b-4774-bc60-b75aa6d8e5a0","resolution":{"observed_at":"2026-08-06T04:20:55.830484Z","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":"2026-08-06T04:20:55.917636Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.917636Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:f2d395250019159592037f9ddfd2c5ee04bf2186d87fa7b3ace84d65f224d3bd","observation_id":"078722f1-5a75-4066-9a3d-7c4f2a333aa0","resolution":{"observed_at":"2026-08-06T04:20:55.917636Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0212256","last_updated":"2002-12-20T12:49:57Z","snapshot_observed_at":"2026-07-07T04:45:42.869909Z","submitted_at":"2002-12-20T12:49:57Z","title":"Cosmological Billiards","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0212256","snapshot_observed_at":"2026-08-06T04:20:55.977089Z","title":"Damour, M","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:55.977089Z"},"links":{"cited_paper":"/paper/hep-th/0212256","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:aabd656c089562bca338f95c4427d3eac32ac1a7864f3261c1ee6416543088c8","observation_id":"1244e0a5-0736-45a4-ac2a-2fb26faa8037","resolution":{"observed_at":"2026-08-06T04:20:55.977089Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2104.09626","last_updated":"2021-08-05T09:52:31Z","snapshot_observed_at":"2026-07-06T11:01:51.434966Z","submitted_at":"2021-04-16T08:26:53Z","title":"Complexity and the Big Bang","version":3},"cited_work":{"arxiv_id":"2104.09626","doi":null,"metadata_source":"pith","pith_arxiv_id":"2104.09626","snapshot_observed_at":"2026-08-06T04:20:57.544810Z","title":"Complexity and the Big Bang","venue":"gr-qc","work_id":"0c7c032e-599f-4739-80cc-e803d420eab0","year":2021},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.043347Z"},"links":{"cited_paper":"/paper/2104.09626","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:5a6b6ea1552f27ea062fc56cf8a76af3f9010917bda2c4a20ee747cee9b41e2d","observation_id":"86b0ef80-38eb-4efa-b2f4-01869bebe2ae","resolution":{"observed_at":"2026-08-06T04:20:57.628073Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0104081","last_updated":"2001-05-23T13:06:11Z","snapshot_observed_at":"2026-07-07T04:39:36.706725Z","submitted_at":"2001-04-09T16:01:00Z","title":"E_11 and M Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0104081","snapshot_observed_at":"2026-08-06T04:20:56.131052Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.131052Z"},"links":{"cited_paper":"/paper/hep-th/0104081","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:001e05ba87318b790f597a45911e1e7f51cbd1131bb06ec6943cc4952a40ac86","observation_id":"cc4e93f2-2a14-4af1-a88b-f030b2dd0166","resolution":{"observed_at":"2026-08-06T04:20:56.131052Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1309.0757","last_updated":"2013-09-03T17:56:06Z","snapshot_observed_at":"2026-07-06T03:22:04.722603Z","submitted_at":"2013-09-03T17:56:06Z","title":"Gravitational Coset Models","version":1},"cited_work":{"arxiv_id":"1309.0757","doi":null,"metadata_source":"pith","pith_arxiv_id":"1309.0757","snapshot_observed_at":"2026-08-06T04:20:57.323682Z","title":"Gravitational Coset Models","venue":"hep-th","work_id":"4afc0856-123f-41ac-a12d-31c655d06be0","year":2013},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.196108Z"},"links":{"cited_paper":"/paper/1309.0757","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:5f56fff5f221205755731c5e8ebf0a4065d96c435b19d10d115863f604b6fd06","observation_id":"dc09e557-cc5e-4acb-864f-c4d6229694bc","resolution":{"observed_at":"2026-08-06T04:20:57.426604Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2004.03363","last_updated":"2020-04-07T13:35:34Z","snapshot_observed_at":"2026-07-06T09:10:37.707828Z","submitted_at":"2020-04-07T13:35:34Z","title":"Gravity, Dual Gravity and A1+++","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2004.03363","snapshot_observed_at":"2026-08-06T04:20:56.256088Z","title":"Glennon and P","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.256088Z"},"links":{"cited_paper":"/paper/2004.03363","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:8934516d85ddeafe2330d90d95df0b087dc7904c7cb1d0a2c1d94059e10ce1c4","observation_id":"589f6a67-1aff-4270-bde1-0668dd0b975b","resolution":{"observed_at":"2026-08-06T04:20:56.256088Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.11501","last_updated":"2023-06-12T13:49:08Z","snapshot_observed_at":"2026-07-06T13:45:00.720050Z","submitted_at":"2022-08-24T12:52:28Z","title":"Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra","version":2},"cited_work":{"arxiv_id":"2208.11501","doi":null,"metadata_source":"pith","pith_arxiv_id":"2208.11501","snapshot_observed_at":"2026-08-06T04:20:57.081807Z","title":"Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra","venue":"hep-th","work_id":"c581c153-dc46-479a-a107-9e5accfa28a1","year":2022},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.305856Z"},"links":{"cited_paper":"/paper/2208.11501","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:6414512a26eee827d010c8905dac0e8f60153c8b0e183aa94518cbdda6e20957","observation_id":"70fdde93-9b7b-4cb7-b93a-e6fafe8bd40c","resolution":{"observed_at":"2026-08-06T04:20:57.185630Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T04:20:56.352585Z","title":"Di Francesco, P","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.352585Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:5a3c0f5cdf0869471a00517de8a961f2c4eaf4e1262f4ea80c931ebbe84aded0","observation_id":"1e561402-7857-4580-ba75-fd6246d85b70","resolution":{"observed_at":"2026-08-06T04:20:56.352585Z","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":"2026-08-06T04:20:56.410617Z","title":null,"venue":null,"work_id":null,"year":1980},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.410617Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:087bfb78be33958bfdcf00d028e49207e6d697b09e37cf82b45df5666bf13017","observation_id":"cecc35e3-2176-47f7-9e2b-e9204e77abe6","resolution":{"observed_at":"2026-08-06T04:20:56.410617Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0212154","last_updated":"2004-02-04T16:48:41Z","snapshot_observed_at":"2026-08-02T11:25:34.648359Z","submitted_at":"2002-12-11T12:48:18Z","title":"Fermionic expressions for minimal model Virasoro characters","version":3},"cited_work":{"arxiv_id":"math/0212154","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0212154","snapshot_observed_at":"2026-08-06T04:20:56.919594Z","title":"Fermionic expressions for minimal model Virasoro characters","venue":"math.CO","work_id":"a6efdb46-308c-4dc1-b7b7-08ad5b99c1ee","year":2002},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.469610Z"},"links":{"cited_paper":"/paper/math/0212154","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:fb18d20eecad5e40839f40b0635e077d7557c70db9ca2621e8cb4124a01f394c","observation_id":"c0949c26-e0a7-4dea-a8d3-92e75dfc84ff","resolution":{"observed_at":"2026-08-06T04:20:57.013068Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-06T04:20:59.921490Z","title":"Malcha, DDF: A Mathematica Package for the DDF Construction of the Feingold-Frenkel Algebra (2024), https://github.com/hmalcha/DDF","venue":null,"work_id":"e8acdaca-abfb-4278-b64f-fbf062ba29c1","year":2024},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.532045Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:651d8248f5720bdc3bb196daede6ef5f8ea0c40594ab21c2eacd127a5ec46895","observation_id":"cf9b59e6-6f05-4727-ab12-d534c5700deb","resolution":{"observed_at":"2026-08-06T04:20:59.981875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T04:20:56.640233Z","title":"Scherk,An Introduction to the Theory of Dual Models and Strings, Rev","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.640233Z"},"links":{"citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:e664094ca1f14ebbf20d4acbc6a504f2f24352b8281d820e05da5aa813afe587","observation_id":"7a3d4350-5634-4ea6-9e65-9057f23d45e6","resolution":{"observed_at":"2026-08-06T04:20:56.640233Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9505106","last_updated":"1995-05-17T21:11:06Z","snapshot_observed_at":"2026-07-07T05:08:07.295516Z","submitted_at":"1995-05-17T21:11:06Z","title":"Multistring Vertices and Hyperbolic Kac Moody Algebras","version":1},"cited_work":{"arxiv_id":"hep-th/9505106","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9505106","snapshot_observed_at":"2026-08-06T04:20:56.790241Z","title":"Multistring Vertices and Hyperbolic Kac Moody Algebras","venue":"hep-th","work_id":"8045a19e-de95-4c2f-a8ff-7de50c2d2c85","year":1995},"citing_paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T04:20:56.712948Z"},"links":{"cited_paper":"/paper/hep-th/9505106","citing_paper":"/paper/2508.03815"},"observation_digest":"sha256:b32778a1d7a3c0a8f22540b51c49c552ec850a6cab766929b56cc342899e3826","observation_id":"fb9438e6-9236-4f47-8380-97550ccfe15e","resolution":{"observed_at":"2026-08-06T04:20:56.867141Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.03815","last_updated":"2025-08-05T18:02:55Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-06T04:20:51.983515Z","submitted_at":"2025-08-05T18:02:55Z","title":"From Tensor Algebras to Hyperbolic Kac-Moody Algebras"},"reference_resolution":{"displayed":42,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":28,"verified_exact":13,"verified_fuzzy":1},"total_outbound_references":42},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2508.03815."}