{"as_of":"2026-08-15T03:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4b5f67d5e9f954f0a2e518a2df2e9c1d2c508fef3f5661839b02949e4bdbf895","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:15:47.004269Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+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/2506.22292/citation-record","integrity":"/paper/2506.22292/integrity","json":"/paper/2506.22292/citation-record.json","paper":"/paper/2506.22292"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:15:50.471062Z","title":"Community detection and stochastic block models: recent developments","venue":null,"work_id":"a551a1e5-b4e6-4b78-9985-d8c3652dd5ec","year":2018},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:44.588757Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:874adeaf81fc330821bab8a254d9ed18c3e8c0089ea32aedad33a14a2afca544","observation_id":"6fc385a0-aef6-4d15-a86a-b8a368bc4b50","resolution":{"observed_at":"2026-08-06T22:15:50.538294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:50.330909Z","title":"On sample eigenvalues in a generalized spiked population model","venue":null,"work_id":"008e668d-4c2a-4e6d-b208-32070eaf9e5c","year":2012},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:44.664285Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:0a9019e685aa070352dbfdf49710f621742582452291d322fab5f32457c355c4","observation_id":"f42a1284-7b2b-4a74-a805-a0806c42c495","resolution":{"observed_at":"2026-08-06T22:15:50.391416Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:50.207582Z","title":"Emergence of scaling in random networks","venue":null,"work_id":"e70bb346-4a3e-4f22-8a9b-afdd22cf49f8","year":1999},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:44.754129Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:68ebf69c8cca093b5b99eaff1848302fc9c88b00d2bf218ef0d307ce23e5d24b","observation_id":"5adcf79c-2484-4206-8ab2-98f944ec7183","resolution":{"observed_at":"2026-08-06T22:15:50.273977Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:50.036941Z","title":"Further results on generalized inverses of tensors via the einstein product","venue":null,"work_id":"80c16581-ab52-40b9-852f-bba5b70a959c","year":2017},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:44.848189Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:7fd93bfee43b422f54ee3cb5adee45777ae79abe4c1ed305a6e8f3ff776e8776","observation_id":"77397cab-c89b-4f65-bd81-dcbee2c269e0","resolution":{"observed_at":"2026-08-06T22:15:50.137091Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:49.871828Z","title":"A tensor network low rank completion method","venue":null,"work_id":"0cde92a9-fec1-40a6-8d9d-47656ae897ee","year":2025},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:44.936370Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:26dd89cbc55ff34931a594300d3f51851e1c098dd6b21473a2fac663ce1c7dd8","observation_id":"187416dd-c582-49f2-b41d-d3d430bddc8a","resolution":{"observed_at":"2026-08-06T22:15:49.961310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:49.746083Z","title":null,"venue":null,"work_id":"83d01cf6-5253-4118-ac3d-bf7d912f211d","year":2022},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:45.049993Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:7eca5255e710250f49a1e61400af5c07e039f04e025536c57015715cfbda7065","observation_id":"05325abb-d7a6-42ec-838f-22b6dc498fb4","resolution":{"observed_at":"2026-08-06T22:15:49.794195Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:49.656440Z","title":"Solving multilinear systems via tensor inversion","venue":null,"work_id":"c2a18898-a8b3-4a66-9239-f1dbd82c245e","year":2013},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:45.136402Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:13d508b190c54f0b51f8b00c30fb74e9891e39253d45c802bdd72dec5964374f","observation_id":"a966df42-5adb-469b-9bee-773ddbd9d679","resolution":{"observed_at":"2026-08-06T22:15:49.701030Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:49.539088Z","title":"Random matrix methods for machine learning","venue":null,"work_id":"d74a3ed0-a8cd-428a-9667-c114a4639334","year":2022},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:45.233454Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:3b4b144054974e143d18aa679fb7350fa6d47dc11073df3da433ede63486ecdc","observation_id":"b4d1539a-bada-4b54-b60a-5585e0d79b4c","resolution":{"observed_at":"2026-08-06T22:15:49.584249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:49.432062Z","title":"Decompositions of a higher-order tensor in block terms—part ii: Definitions and uniqueness","venue":null,"work_id":"d027d7e5-ad35-4118-b3bb-0ca21708abb3","year":2008},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:45.312444Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:c5d227254f0c775f399f975a5cb0b01ed30e24dbf5877dc7db4d6bc89d8567d4","observation_id":"7f10ddcd-7821-45de-a4ae-83cd8be6a4de","resolution":{"observed_at":"2026-08-06T22:15:49.477505Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1912.09893","last_updated":"2022-02-17T20:19:28Z","snapshot_observed_at":"2026-08-10T11:11:37.442332Z","submitted_at":"2019-12-20T15:40:50Z","title":"A Fair Comparison of Graph Neural Networks for Graph Classification","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.09893","snapshot_observed_at":"2026-08-06T22:15:45.422882Z","title":"A fair comparison of graph neural networks for graph classification","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:45.422882Z"},"links":{"cited_paper":"/paper/1912.09893","citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:6bdeb018fa380cf6226e80c06a9386b69d5c094ec9a510f063743a336d217883","observation_id":"e56e962e-84af-4c34-a844-47b63100c0eb","resolution":{"observed_at":"2026-08-06T22:15:45.422882Z","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":"2026-08-06T22:15:49.337231Z","title":"Big graphs: challenges and opportunities","venue":null,"work_id":"ddbe24fc-2f9a-4853-abd4-f8f987cd4996","year":2022},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:45.523403Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:a00e0dc7699874715a3947ed01c5e38b237356847037f4fc6819bb95f1320b16","observation_id":"c12b9d2c-9318-496d-b1a2-9b19f100fa38","resolution":{"observed_at":"2026-08-06T22:15:49.383424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:49.252091Z","title":"Optimal shrinkage of singular values","venue":null,"work_id":"480a6536-d1a6-4cee-9c51-95636b939b61","year":2017},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:45.633333Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:6aaf04a00005bb28b698b852e484ba5d0ef7babc86a8bd54d8a9584720ff8027","observation_id":"50f00786-9e45-48ba-8844-ff6db0f6ce63","resolution":{"observed_at":"2026-08-06T22:15:49.281397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:49.142099Z","title":"Snap datasets: Stanford large network dataset collection","venue":null,"work_id":"7fdc7398-efcd-40ec-883d-a5798ce10882","year":2014},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:45.744643Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:9ea7d30fca0f047be715c8f61ea1fb891bbd3146d25ccc1d507bfe62cbe77fc7","observation_id":"8614047c-6735-452d-8d89-a68fefae8f7c","resolution":{"observed_at":"2026-08-06T22:15:49.182820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:49.051651Z","title":"Stochastic blockmodels and community structure in networks","venue":null,"work_id":"2c0bdd85-a53c-4102-8107-94aa03e16a6c","year":2011},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:45.851372Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:0efc5e01ab6f25d9b9ed17e5e89b75e19de492be8257dbdeb3fcd1739aa5c883","observation_id":"7f413501-d7c8-4d87-8789-10289c8e1af0","resolution":{"observed_at":"2026-08-06T22:15:49.099698Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:48.958322Z","title":"Tensor decompositions and applications","venue":null,"work_id":"a19df92e-fbb2-472f-8d90-6094ee00d253","year":2009},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:45.979046Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:89537ca3608d4a471835c7cc072852770ea6db99849afab097f9817432ad191f","observation_id":"56316573-fec0-40e8-9afa-7fad723aaad6","resolution":{"observed_at":"2026-08-06T22:15:49.002080Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:48.840368Z","title":"A guide to conquer the biological network era using graph theory","venue":null,"work_id":"c0a3e7ec-8acb-4790-917b-866f84755fc4","year":2020},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.078724Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:3775e4c1cb78c6808a9e0212551d6db749e1f61a8c64dcb7a772fe1c9507453e","observation_id":"021133af-ea0b-43e6-9308-b616bc964e9a","resolution":{"observed_at":"2026-08-06T22:15:48.899854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1405.7786","last_updated":"2016-02-25T02:26:42Z","snapshot_observed_at":"2026-08-14T23:32:09.770396Z","submitted_at":"2014-05-30T07:01:14Z","title":"Fundamental Tensor Operations for Large-Scale Data Analysis in Tensor Train Formats","version":2},"cited_work":{"arxiv_id":"1405.7786","doi":null,"metadata_source":"pith","pith_arxiv_id":"1405.7786","snapshot_observed_at":"2026-08-06T22:15:47.308713Z","title":"Fundamental Tensor Operations for Large-Scale Data Analysis in Tensor Train Formats","venue":"math.NA","work_id":"0375dc9c-5946-46d1-9130-7a4479391733","year":2014},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.194577Z"},"links":{"cited_paper":"/paper/1405.7786","citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:848ce078e40b01a41d3ab82415ebc5fae64fcfd0fb546abe3f7d908554983408","observation_id":"384a7f6e-2eb3-4270-8208-624cb4e5700b","resolution":{"observed_at":"2026-08-06T22:15:47.377195Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:48.674316Z","title":"Kronecker graphs: an approach to modeling networks","venue":null,"work_id":"c2ec6d29-303b-4987-9287-fdd04f019675","year":2010},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.250089Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:4fa943c449054e90eb6da9b05cfea8e142820f58299f0148ccfa462f180210d2","observation_id":"5a569b03-558b-4c61-b33d-01cea93fb0c0","resolution":{"observed_at":"2026-08-06T22:15:48.786775Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:48.515036Z","title":"Statistical properties of community structure in large social and information networks, in: Proceedings of the 17th international conference on World Wide Web, pp","venue":null,"work_id":"78e0aaab-cae4-4e7f-8d82-fdbf12b79202","year":2008},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.328831Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:c689a4040fea0a18f252ceb30eaa90a0ba37a7da4fef79fafdc877c7fa3b8d60","observation_id":"4d01af54-3036-460e-afe3-a8de3d6259eb","resolution":{"observed_at":"2026-08-06T22:15:48.589614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.08489","last_updated":"2024-02-05T11:06:07Z","snapshot_observed_at":"2026-08-13T11:17:26.766851Z","submitted_at":"2023-06-14T13:09:38Z","title":"Analysis and Approximate Inference of Large Random Kronecker Graphs","version":2},"cited_work":{"arxiv_id":"2306.08489","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.08489","snapshot_observed_at":"2026-08-06T22:15:47.130361Z","title":"Analysis and Approximate Inference of Large Random Kronecker Graphs","venue":"stat.ML","work_id":"0566c810-459b-4134-83d4-5b2af57f1bb6","year":2023},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.413589Z"},"links":{"cited_paper":"/paper/2306.08489","citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:072b13032a35d7466cf9bd76b03b1647f5ab4337605d68e76ed8946c7ceed267","observation_id":"3c3c5b34-e450-4a15-80bb-5e8186563b0a","resolution":{"observed_at":"2026-08-06T22:15:47.210044Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:48.371810Z","title":"Information network or social network? the structure of the twitter follow graph, in: Proceedings of the 23rd international conference on world wide web, pp","venue":null,"work_id":"ea43732a-339e-4253-985d-b9013e90722c","year":2014},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.498528Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:65a6209717ff593269001ea7834a6e52db56ee3f3bdbc08f8490dbf97b41066b","observation_id":"f91dd56b-f021-4987-b4d0-930c13c2e70e","resolution":{"observed_at":"2026-08-06T22:15:48.438171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:48.240199Z","title":"The structure and function of complex networks","venue":null,"work_id":"457abbf6-b9f1-47b6-b6f1-6c189f5c7d33","year":2003},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.578996Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:c7d33ee44a669a6dcba78961273b468db9b07e938b1265f82917f63f960447ac","observation_id":"e884de35-909e-477b-8da9-4f54e96e777c","resolution":{"observed_at":"2026-08-06T22:15:48.317800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:48.111122Z","title":"Randomgraphmodelsofsocialnetworks","venue":null,"work_id":"d64ee8e1-a8dd-4706-8a00-36f8f2393053","year":2002},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.672975Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:969452d10c0dadabd92d78fb21795393b84cf91e8ee788968fd63b757cce91a4","observation_id":"9016c2c1-8493-4724-9031-dfb2a92c64b2","resolution":{"observed_at":"2026-08-06T22:15:48.171512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:47.940141Z","title":"Using graph theory to analyze biological networks","venue":null,"work_id":"d97e0fde-65e6-46a3-bb8a-a0cc017409c2","year":2011},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.742874Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:ce5b12827a84e658df8e004259f6ae6986f67dff935882a4a07a4dafedd4a2fe","observation_id":"5acb3239-3b69-4446-ab52-4a319714df82","resolution":{"observed_at":"2026-08-06T22:15:48.032294Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:47.746081Z","title":"Topology of the world trade web","venue":null,"work_id":"837525cb-5430-4f9b-81de-b31eb4812876","year":2003},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.812658Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:c0982325e7b01ff894feef18dc29a1e2b8c73a0b0b315470ecec311a169a5d01","observation_id":"730d61e1-8621-444b-9779-7e3c93f9599a","resolution":{"observed_at":"2026-08-06T22:15:47.850904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:47.613744Z","title":null,"venue":null,"work_id":"8c10a253-dec2-444d-b8c5-6a2c80730394","year":2012},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:46.905383Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:30ca940130f80cad2fd93a134362fb4e24ef37d2dbd5e7b0f0775c10fe8812c6","observation_id":"42dd8113-d02f-4020-b212-ba8877738804","resolution":{"observed_at":"2026-08-06T22:15:47.684429Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-06T22:15:47.477704Z","title":"Collective dynamics of ‘small-world’networks","venue":null,"work_id":"c8698646-fb41-4727-8274-17642144cc9f","year":1998},"citing_paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T22:15:47.004269Z"},"links":{"citing_paper":"/paper/2506.22292"},"observation_digest":"sha256:c4e878c7a6963fa8f5544b59cf8adae16c4c55d7adab01b2b11b3b09c990747a","observation_id":"b6879345-adbc-4b96-9f75-168cf4f78dcf","resolution":{"observed_at":"2026-08-06T22:15:47.532051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.22292","last_updated":"2025-06-27T15:04:09Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-11T07:35:22.299084Z","submitted_at":"2025-06-27T15:04:09Z","title":"Scalable inference of large-scale random kronecker graphs via tensor decomposition and Einstein summation"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":2,"verified_fuzzy":22},"total_outbound_references":27},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2506.22292."}