{"as_of":"2026-08-17T00:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:80f35edc44cc24d4b2e06542bfdc6051320803e126cc4bfd69f812deeec874b3","coverage":[{"denominator":53,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":53,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T12:04:03.222669Z","state":"measured"},{"denominator":53,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":53,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2509.02065/citation-record","integrity":"/paper/2509.02065/integrity","json":"/paper/2509.02065/citation-record.json","paper":"/paper/2509.02065"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.679367Z","title":"Asllani, J","venue":null,"work_id":"d39477cb-a234-40b0-a205-effcce908c53","year":2014},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:57.660345Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:3549e1432f884d7caa36421afe2a70c40a0dde5fb76ca5e74dba2ad8644d842e","observation_id":"0b304a23-94e7-40e3-a017-4a25c36f9c3c","resolution":{"observed_at":"2026-08-05T12:04:10.683222Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.665599Z","title":"Bauer,Ripser: efficient computation of vietoris–rips persistence barcodes, Journal of Applied and Computational Topology5(2021), 391–423","venue":null,"work_id":"963162ee-be78-4227-bf94-3f2c7d2d82ec","year":2021},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:57.735372Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:6f1b418f89b2325ebda268e4feafd68cfd1d3475ba3000c447f8f95fe697d2c6","observation_id":"b6cf4ec8-c949-42a0-9835-4baabbd829a7","resolution":{"observed_at":"2026-08-05T12:04:10.670103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.652050Z","title":"Boccaletti, V","venue":null,"work_id":"a55b0524-0c13-47dc-abda-ba1de8fe0503","year":2006},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:57.864402Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:ad7514bed0a8f7a1d9e857a33ea80adcfe3e9fcd0e2260e6cf3c47fa8db70bf1","observation_id":"a8d37e66-a983-4843-9cb7-b5d205a96737","resolution":{"observed_at":"2026-08-05T12:04:10.656570Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.639324Z","title":"Brose, P","venue":null,"work_id":"dd197b68-e7bc-4048-a78d-a30f26aec4a2","year":2019},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:57.968622Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:d2130fda268b8ccb1d57417f2eb30d3dcd091011d0bcb03777d1422b941a5301","observation_id":"cf98ae0a-0aca-48ff-9129-b784fa010fa6","resolution":{"observed_at":"2026-08-05T12:04:10.643290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.626348Z","title":"Bubenik and N","venue":null,"work_id":"e81311cf-2a57-41da-be8a-47f1e92d5347","year":2024},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:58.073843Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:32e904d536efcb964014c4b1a52d589633284ceca675186c7f8fa66bb1483a54","observation_id":"158e8124-a5f6-4a16-9570-ef82ba1958d2","resolution":{"observed_at":"2026-08-05T12:04:10.630447Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.613439Z","title":"Burfitt,Singular simplicial quiver homologies, November 2025, https://github.com/MatthewBurfitt/Singular-simplicial-quiver-homologies.git","venue":null,"work_id":"bc6a4233-32f3-4e47-9f95-537ca48536bf","year":2025},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:58.144102Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:1581ed874866ff77576f0867d8eca201b432dbf89eecc80865be2c49fce23875","observation_id":"d2c3a437-45df-4458-862b-28e7409e755d","resolution":{"observed_at":"2026-08-05T12:04:10.617635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.600223Z","title":"Carlsson and F","venue":null,"work_id":"2fd33771-1c55-438a-8309-de522c1c8ffa","year":2010},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:58.197694Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:dc6702baf848d184e866f13c7b7e9eb5ddfbfdd612536abd0c8f25a9ec8fb43c","observation_id":"560174ea-2f63-4ecd-a4f4-5c71a948e6f9","resolution":{"observed_at":"2026-08-05T12:04:10.604485Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.04572","last_updated":"2024-11-07T09:55:56Z","snapshot_observed_at":"2026-08-16T13:02:09.832604Z","submitted_at":"2024-11-07T09:55:56Z","title":"A notion of homotopy for directed graphs and their flag complexes","version":1},"cited_work":{"arxiv_id":"2411.04572","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.04572","snapshot_observed_at":"2026-08-05T12:04:03.565690Z","title":"A notion of homotopy for directed graphs and their flag complexes","venue":"math.AT","work_id":"b207c2d6-62aa-4c6f-b155-cd6c9d5077e7","year":2024},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:58.262162Z"},"links":{"cited_paper":"/paper/2411.04572","citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:b18db6f8e407a8db7f4312ad6e01a6c54c61e3ff6572fd66655d1c3f8edf4f37","observation_id":"b61f9a2a-4c72-4650-b617-b124c945d6b0","resolution":{"observed_at":"2026-08-05T12:04:03.628823Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.587126Z","title":"Chazal, D","venue":null,"work_id":"8df55224-07a7-404c-915e-b4f671499773","year":2008},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:58.281786Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:63730a3e48c99bc27a141f4f81c2064e9e323284f19369cd78ece88fda12ac81","observation_id":"fe1780f2-d08d-402b-9f42-0616fda1f4e8","resolution":{"observed_at":"2026-08-05T12:04:10.591139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.573085Z","title":"Chowdhury and F","venue":null,"work_id":"2e4c044e-cc1e-44e9-a50e-787507266bd1","year":2018},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:58.311484Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:60039d9b217f8a62f6ed59105a15f80a8c54c06fa7db9de28b608d25b63ea541","observation_id":"4bc38cc5-e435-4e0e-bdad-a8776e633285","resolution":{"observed_at":"2026-08-05T12:04:10.577574Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.559942Z","title":"1152–1169","venue":null,"work_id":"531fdec6-2df2-46f7-a71f-c15a66a63338","year":2018},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:58.512458Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:f6ec01b675e2ade65daaa0946c84967eb24d2d758f383a00f1501bd72b453ab4","observation_id":"2f3cf55d-31f8-4052-a122-68455d224922","resolution":{"observed_at":"2026-08-05T12:04:10.564260Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.546403Z","title":null,"venue":null,"work_id":"1b0539b4-bf34-44cc-967f-f00a09e5cc11","year":2022},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:58.654406Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:4170210c450e0486457893695c7942c7db4707a65010b5a097f065d41d32a9df","observation_id":"18047424-bee2-47e4-aad2-f4b4a1a3a437","resolution":{"observed_at":"2026-08-05T12:04:10.550770Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9603167","last_updated":"1996-03-26T04:46:46Z","snapshot_observed_at":"2026-08-04T04:19:09.233254Z","submitted_at":"1996-03-26T04:46:46Z","title":"D-branes, Quivers, and ALE Instantons","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9603167","snapshot_observed_at":"2026-08-05T12:03:58.810785Z","title":"Douglas and G","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:58.810785Z"},"links":{"cited_paper":"/paper/hep-th/9603167","citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:b57483295accdf2fb7ec4ef6dca59b2c27d31353d42fd7ddc30575ac84cbc967","observation_id":"cc8b3b02-d91a-4ea9-a79d-2194b4ce7c1d","resolution":{"observed_at":"2026-08-05T12:03:58.810785Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.477068Z","title":null,"venue":null,"work_id":"8e5ac48e-2739-4cbf-b29b-c42c9fd94aa2","year":2024},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:58.960270Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:3a1ec6cc6a5286e41ded3ab846c6c90e9399695f45293513bed015e017c180ea","observation_id":"ae009902-83fb-4717-9971-79c649382328","resolution":{"observed_at":"2026-08-05T12:04:10.537089Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:10.212508Z","title":"Ganmor, R","venue":null,"work_id":"1249a90e-92b7-44cc-beb8-90f47c20647a","year":2011},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:59.047990Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:fa480e108db65bf9af4453c1ccfe5c8948ccc947fdeb2ddda679e54c89d11814","observation_id":"2d00e10c-3341-4e02-a715-147f683ff3e8","resolution":{"observed_at":"2026-08-05T12:04:10.289283Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:09.898711Z","title":"Goodfellow, R","venue":null,"work_id":"17344c7d-7c9f-4a1d-a681-e5781eaebe04","year":2022},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:59.189651Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:671d730a6e914da5c12ba9e67bc99eeed3fc69e2e39ba2ccf12190bf3f4adb2e","observation_id":"9b417f55-c4ee-4a33-8419-4b49418e6b99","resolution":{"observed_at":"2026-08-05T12:04:10.041727Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:09.685253Z","title":null,"venue":null,"work_id":"7aa9d772-99d0-451b-991c-a275f93a880e","year":2021},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:59.386254Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:e4c44df1e180193c37d9db0788c3bbc4e95e8ed74b71fcff75b8b0c4c8111751","observation_id":"d0027b88-b0a6-4b8f-b02f-108158cc1443","resolution":{"observed_at":"2026-08-05T12:04:09.806881Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:09.463726Z","title":"Grigor’yan, R","venue":null,"work_id":"7c7fc993-337e-431b-a882-1f3308c43ed8","year":2018},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:59.478423Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:6428d859e93cf4a897edc2b8f691b1d9986554de6c3aeb6e94d0d5aa9ec03436","observation_id":"f7d6b792-bc9e-4353-9880-5f6c2396904f","resolution":{"observed_at":"2026-08-05T12:04:09.534532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1207.2834","last_updated":"2013-05-11T18:11:47Z","snapshot_observed_at":"2026-08-15T00:53:31.944606Z","submitted_at":"2012-07-12T03:21:02Z","title":"Homologies of path complexes and digraphs","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1207.2834","snapshot_observed_at":"2026-08-05T12:03:59.563907Z","title":"Grigor’yan, Y","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:59.563907Z"},"links":{"cited_paper":"/paper/1207.2834","citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:9554d66a89ad0c0d3106ae1148c4dc8cbc0aae017b083bfdb5cc6aff08ed4496","observation_id":"297c8d85-4cb1-46cb-955d-eb3d9eacde8d","resolution":{"observed_at":"2026-08-05T12:03:59.563907Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:09.346722Z","title":"4, 919–674","venue":null,"work_id":"50a07b34-66c6-45a0-bb1f-ff4f2691fbfa","year":2014},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:59.749269Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:e91843a6aa3978bb58865db72a6758570ec04e3b2a93c2ed8cae4680917ea5b6","observation_id":"60e5078f-e0e3-4774-8215-9e758847d087","resolution":{"observed_at":"2026-08-05T12:04:09.424743Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:09.019500Z","title":"Grigor’yan,Advances in path homology theory of digraphs, International Consortium of Chinese Mathematicians (ICCM)10(2022), no","venue":null,"work_id":"d72705b1-cd23-430d-89b3-8b6f2c9e5e0d","year":2022},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T12:03:59.867703Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:341a133a2945d7db6426ef249ea98e013b56e363527a0c25140a26f6126babb0","observation_id":"06da1077-c65d-4299-8954-5e4b94e34a94","resolution":{"observed_at":"2026-08-05T12:04:09.187269Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:08.670287Z","title":"Grigor’yan, Y","venue":null,"work_id":"5ffe9751-5f5a-43c6-abda-1d9c5928163d","year":2018},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:00.051185Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:60c0e1a579cac9a93672ac4cd36e1d171224759aec85dc6546908fde050f43e8","observation_id":"6200a624-52c7-4b1a-aeb2-f65112e3f77a","resolution":{"observed_at":"2026-08-05T12:04:08.816902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:08.466000Z","title":"Grigor’yan, Y","venue":null,"work_id":"151ac319-b9bd-4fb5-aa06-c90082dabaf6","year":2017},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:00.169205Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:f18bdd3179bd44faa41eb365e71842eb921229f40a55772d7917dbf439b6327a","observation_id":"c4224838-ceb9-4bf1-8666-dfa468f36dde","resolution":{"observed_at":"2026-08-05T12:04:08.555212Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:08.299412Z","title":"Hatcher,Algebraic topology, Algebraic Topology, Cambridge University Press, 2002","venue":null,"work_id":"b80fedb8-f8a9-4aeb-a62c-fc1e7d7e5156","year":2002},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:00.248341Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:6b2ea0cf806e31f8126c6b2a0e05a68c162fabb791c7bc7a23cfd3363af48472","observation_id":"f2dd248f-c45c-4c21-8869-79c674d812b2","resolution":{"observed_at":"2026-08-05T12:04:08.418795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:08.082576Z","title":null,"venue":null,"work_id":"7fe9c898-bdf9-4b3b-afd3-3031bc7bfbfa","year":2024},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:00.377555Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:f7efb7fa1442fb02fb0e623e57d5d0eaf139797f964b76b2addaa511919a3742","observation_id":"e239491b-74aa-4978-a91f-ce1a8a57e1e1","resolution":{"observed_at":"2026-08-05T12:04:08.191929Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:07.923886Z","title":"Iacopini, A","venue":null,"work_id":"e573e441-79c2-474c-ba61-16a3b3181cc4","year":2019},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:00.493288Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:d6f6f168c53c2f8b89bf64bab9dec486c4cae70ccea2dd7a111d0eb65c4e5904","observation_id":"db740f3a-259e-4be1-8be2-7f3b0a86d3b6","resolution":{"observed_at":"2026-08-05T12:04:07.993712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:07.773306Z","title":"Ivanov and F","venue":null,"work_id":"071d9b01-5683-4fcf-8305-7c58d05b025f","year":2024},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:00.575323Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:479beeeb0fb68ff59d9f625912b85f6684ae84bec311090cc57fd290d6b53fcd","observation_id":"f2e70e5b-583c-4c2a-a13d-b7a13e1144ba","resolution":{"observed_at":"2026-08-05T12:04:07.842714Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:07.606640Z","title":"Jones and G","venue":null,"work_id":"3ea92b3a-0d2f-4416-9194-a2b00f938997","year":2025},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:00.684587Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:90d2eade86ff1cbbb8f5e3eb217c566fd3c1cd2bd8810093c8b96e103d0657c1","observation_id":"3dfe5231-f0ce-434f-8129-f4ccc59e25b3","resolution":{"observed_at":"2026-08-05T12:04:07.688230Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:07.493281Z","title":"Kannan, E","venue":null,"work_id":"3757550b-4020-4964-a35c-033c761b0d7f","year":2019},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:00.788168Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:e06903c7bb03729ac02773cefaf89380ed08140f79892ff66a9f6efe3f2a1e84","observation_id":"a60bda4b-62a7-46d0-b94f-fc6539c38bc6","resolution":{"observed_at":"2026-08-05T12:04:07.543825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:07.339445Z","title":"Kartun-Giles and G","venue":null,"work_id":"ce613ce8-0817-493d-b0e3-1b8fbea3aae9","year":2019},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:00.927239Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:df10eca9418964e22a0165e0c722d1d4de7c06f250a35c7d7d8e8384569dcb93","observation_id":"a87434aa-c1a8-4706-acc9-13d73483346e","resolution":{"observed_at":"2026-08-05T12:04:07.401170Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:07.165972Z","title":"Karuza, S","venue":null,"work_id":"90452f54-5cf3-4cab-9178-0f0082df3176","year":2016},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:01.014597Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:c4ed2133bf6f809bf057a9903e92928392050d821309bbcd7fee5084646ab4e1","observation_id":"7b405444-83f7-43db-9aad-968c266413a8","resolution":{"observed_at":"2026-08-05T12:04:07.234433Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:07.011478Z","title":null,"venue":null,"work_id":"21d1f5a0-76d9-4284-8eef-3543b09ecd0c","year":2018},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:01.132894Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:b82ed7205e2a9e13528bce4e39d6b8ab50ccd31145087f91d2dae7834dc3ca01","observation_id":"65ed4264-2540-4a0e-8747-2f216680f8c6","resolution":{"observed_at":"2026-08-05T12:04:07.077554Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:06.853171Z","title":null,"venue":null,"work_id":"9159c8ab-0089-4196-b4f6-f2ea3095c1bd","year":2025},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:01.246689Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:8f0567fbb95254f3cb4c6197c33e82100a7621e3ea5dd90a0b54ed86d4f67b00","observation_id":"991300fa-37f7-429e-8c3b-7d9a6c9e163f","resolution":{"observed_at":"2026-08-05T12:04:06.914725Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:06.706676Z","title":"L¨ utgehetmann,Flagser, November 2021, https://github.com/luetge/flagser.git","venue":null,"work_id":"c46d72a9-e18a-4668-9fa3-87d2c5ee6c44","year":2021},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:01.357913Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:b5f4fca02cd18ede17ad2e76533759e77d742a4a1d2688871d84b1f06b4e2ca6","observation_id":"d95197b6-485b-4728-b6e7-e5f0461f82d7","resolution":{"observed_at":"2026-08-05T12:04:06.770734Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:06.536698Z","title":"L¨ utgehetmann, D","venue":null,"work_id":"3e2f265b-60e0-48fe-bc60-41cb0361c004","year":2020},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:01.463409Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:02d74764cc0533c7bf31d748f2686bd1abeed0086280c05b858f78c92f9530fa","observation_id":"d7d3853f-3885-4769-af82-7220eb7d43c4","resolution":{"observed_at":"2026-08-05T12:04:06.588381Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:06.369433Z","title":"and Eames K.,Networks and epidemic models, Journal of The Royal Society Interface 2(2005), 2295–307","venue":null,"work_id":"92e6a681-88ac-42a9-8d0e-22188bee6e6a","year":2005},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:01.574605Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:d9536072c01412b338d0d06bc2596619c7fc69c82ace511f0aab14b8c7919654","observation_id":"eae665bc-7e71-4639-b093-9beda4c3008a","resolution":{"observed_at":"2026-08-05T12:04:06.447097Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:06.237102Z","title":"Macneil and A","venue":null,"work_id":"8d21913b-099a-4441-83e2-94b64d01c21a","year":2011},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:01.660994Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:91158162334a7e84d5e415b772a1aca8d1ccf96c0f914613ec53403177dd7505","observation_id":"68dab7ee-e0bb-4a0c-a866-7b4520f7a324","resolution":{"observed_at":"2026-08-05T12:04:06.296260Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:06.105913Z","title":"Masulli and A","venue":null,"work_id":"5a9aef63-d307-4c6b-b038-4476030eb89f","year":2016},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:01.817484Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:4a50e3453956464730d70f798acd2e19d8fed535f3bf9dde0dd01756085cd5ce","observation_id":"dc959268-cbb6-4e04-91b0-0d8c424e7e1e","resolution":{"observed_at":"2026-08-05T12:04:06.171596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:05.964824Z","title":"Masulli and P","venue":null,"work_id":"6f341982-4e46-403a-90b1-4391452030f9","year":2016},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:01.924340Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:44285d14f62f1e5ebffb0391f1de2a99e99670eaeb8bde1c9c2d96e24f9370c0","observation_id":"7e41b516-451d-45e1-9675-269ee6c723b8","resolution":{"observed_at":"2026-08-05T12:04:06.017236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:05.842832Z","title":"Merchan and I","venue":null,"work_id":"e54ced8e-ffcb-47c5-8af1-4c178c3aef63","year":2016},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.022798Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:6b03175e2782549fa7f0dff61f837c6d6b1d4e0b48794b38b5bea5818568e2fb","observation_id":"af9be281-e249-46e1-b533-e2bd1f3a67bf","resolution":{"observed_at":"2026-08-05T12:04:05.899009Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.01370","last_updated":"2024-09-27T02:14:49Z","snapshot_observed_at":"2026-08-16T13:22:00.692920Z","submitted_at":"2024-09-02T16:53:05Z","title":"The directed Vietoris-Rips complex and homotopy and singular homology groups of finite digraphs","version":2},"cited_work":{"arxiv_id":"2409.01370","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.01370","snapshot_observed_at":"2026-08-05T12:04:03.332227Z","title":"The directed Vietoris-Rips complex and homotopy and singular homology groups of finite digraphs","venue":"math.AT","work_id":"8dbab79d-8244-4e23-87c6-47f4b3ab659e","year":2024},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.101513Z"},"links":{"cited_paper":"/paper/2409.01370","citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:532978c026708a74a1684d461cb0828c85357a843bf3fce3bd313e5983ce3c8d","observation_id":"7c3bb2e1-1f80-4770-b4d5-8bb0aad48038","resolution":{"observed_at":"2026-08-05T12:04:03.420757Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:05.702663Z","title":"Munkres,Elements of Algebraic Topology, Addison Wesley Publishing Company, 1984","venue":null,"work_id":"477389f0-59ed-4322-ae97-1515d9d96471","year":1984},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.173747Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:3ab9bebce0c9f09963ea259797ac12e6109f4e9ef462e1fb816b8fa0be19a434","observation_id":"7a60fbc4-6203-4842-a936-1dece04ddae2","resolution":{"observed_at":"2026-08-05T12:04:05.754503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:05.538110Z","title":"Muranov,Lecture course: Methods of algebraic topology in graph theory","venue":null,"work_id":"aaad57c5-f5ad-4a45-91d7-422e482ace87","year":2024},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.279852Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:9c3cb32c9e0f0a28de1b66970119d71b36296e4b6a75e614f600459534a9757c","observation_id":"3122a792-b520-422e-a48b-c8973fc05ffc","resolution":{"observed_at":"2026-08-05T12:04:05.615174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:05.384372Z","title":null,"venue":null,"work_id":"845799d2-7a97-4df2-a78f-a0a6db009187","year":2022},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.372392Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:4b3c949f4ef38b8a21f9b08a2cffb85999e5ba5d2ea7021eb74b896e5d40d7e9","observation_id":"ff7f7623-285d-40a0-8e8d-46d0eaed52e4","resolution":{"observed_at":"2026-08-05T12:04:05.436659Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:05.253828Z","title":"Reimann, M","venue":null,"work_id":"27edd6b2-065b-42a0-a23e-5dac98be6081","year":2017},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.427722Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:62ae2d8928dfb52df81acd5560fe3209fd8e368372e5f5e0b32345d24e80a94f","observation_id":"64d6a254-5e3b-4f29-b14a-cb689965992e","resolution":{"observed_at":"2026-08-05T12:04:05.336312Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:05.122283Z","title":"Riihim¨ aki,Simplicialq-connectivity of directed graphs with applications to network analysis, SIAM Journal on Mathematics of Data Science5(2023), no","venue":null,"work_id":"1e0bdfe9-0c2b-4a5e-b2b9-fb875c10f652","year":2023},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.533494Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:2bba72390ada9d54b97b894148c520447dea28e8c0331019b4f62bbb99062237","observation_id":"ceb653cc-fac2-4bc0-b7b7-8d91290f0a64","resolution":{"observed_at":"2026-08-05T12:04:05.169375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:04.942680Z","title":"Ritchie, L","venue":null,"work_id":"5f4da01d-8d6b-43ee-a7bf-bd5d22e63e5a","year":2017},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.632109Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:142c47c67ce49a91fdbec573e98d1a01964f57c6bd2c7d52bdf3f00b325210be","observation_id":"5cc581c6-b666-4e4b-a919-fb78c76e52c8","resolution":{"observed_at":"2026-08-05T12:04:05.044234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:04.796636Z","title":"Seungwoong and J","venue":null,"work_id":"9a3a969a-e210-47e6-9fe6-9748bd8c73ed","year":2021},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.758400Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:290d6a5830018e9f3f9e5249c1fc9d3e136ae3f0af43e243215845dc31b77481","observation_id":"f00b2e09-2276-44a3-9a2f-0067e7b0bd8a","resolution":{"observed_at":"2026-08-05T12:04:04.872495Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:04.586100Z","title":"Smith,Dltser, November 2022, https://github.com/JasonPSmith/deltser","venue":null,"work_id":"239afbed-e205-4b08-952a-ccfa716552d3","year":2022},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.834930Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:1e928e2c3ce5d4c43f26e5267f43b65055131662a973e4d82fd001cdfbb53002","observation_id":"870901ba-4772-4234-a72b-d44d4a74df1f","resolution":{"observed_at":"2026-08-05T12:04:04.680978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:04.402538Z","title":"Turner,Rips filtrations for quasimetric spaces and asymmetric functions with stability results, Algebraic and Geometric Topology19(3)(2019), 1135–1170","venue":null,"work_id":"06734c4e-3a83-4b0b-b7f3-9deb75cd2d0f","year":2019},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.923486Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:6490b31396b1aa105e23eaf20ed8c974f8eeecf9b94d674ceb03e76c273064c0","observation_id":"e8c98c97-de1c-4309-ad09-9a6806e9d307","resolution":{"observed_at":"2026-08-05T12:04:04.488120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:04.157737Z","title":"Ugander, L","venue":null,"work_id":"32de5431-6d89-41d4-bb92-1c4e6ab6cd1f","year":2013},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:02.987986Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:57c1ec56b9a5bf23d1b3895f07770fa46c7f90b7120a4e1aa62d85806d10de85","observation_id":"ad8c97cc-0c79-401b-a604-7a9307a05328","resolution":{"observed_at":"2026-08-05T12:04:04.303132Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:03.954727Z","title":"Vespignani,Modelling dynamical processes in complex socio-technical systems, Nature Physics 8(2012), 32–39","venue":null,"work_id":"4c7751b0-45f6-49ed-857c-e203322c11ea","year":2012},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:03.101828Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:e169cd57c1a3cbebc9c37f0b0b048c71c2f8a701aad7b9fe26a85edc0c56cce7","observation_id":"e673577f-bf74-4878-a6db-413a17b411de","resolution":{"observed_at":"2026-08-05T12:04:04.029630Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T12:04:03.752113Z","title":null,"venue":null,"work_id":"0a591c5f-d97e-49fb-826b-559ffd8b47a1","year":2025},"citing_paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-05T12:04:03.222669Z"},"links":{"citing_paper":"/paper/2509.02065"},"observation_digest":"sha256:bd1a5bc4f154e2ccbe8db960eab61a02445e1b11dd8dbcec063af53a9242aded","observation_id":"058e238b-d850-4677-90f2-9471be8d14b2","resolution":{"observed_at":"2026-08-05T12:04:03.837740Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.02065","last_updated":"2025-09-09T13:11:23Z","latest_version":2,"primary_category":"math.AT","snapshot_observed_at":"2026-08-16T21:28:27.988580Z","submitted_at":"2025-09-02T08:05:35Z","title":"Computing singular simplicial homologies of digraphs and quivers"},"reference_resolution":{"displayed":53,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":10,"verified_exact":1,"verified_fuzzy":41},"total_outbound_references":53},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2509.02065."}