{"as_of":"2026-08-16T02:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:39a54c80123fff337666ba24483e8506b40a6986a40df8641ec237d76fb9836a","coverage":[{"denominator":48,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":48,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T13:02:48.077092Z","state":"measured"},{"denominator":49,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":49,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T00:10:16.742500Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T21:48:59.694434Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"cited_work":{"arxiv_id":"2412.13672","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.13672","snapshot_observed_at":"2026-07-03T21:48:59.694434Z","title":"Bhamidi, A","venue":null,"work_id":"7fade32d-39fa-4fb1-bc16-ccadc67f09a7","year":2024},"citing_paper":{"arxiv_id":"2606.17912","last_updated":"2026-06-16T13:34:03Z","snapshot_observed_at":"2026-08-14T14:35:06.218242Z","submitted_at":"2026-06-16T13:34:03Z","title":"Asymptotics of the number of labelled connected sparse multitype graphs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T00:10:16.742500Z"},"links":{"cited_paper":"/paper/2412.13672","citing_paper":"/paper/2606.17912"},"observation_digest":"sha256:69f5d501511ce38b55428d848f7dc9ed52c892b9ddb0dc5984269a71439e274c","observation_id":"9a1a1f4a-fc81-4836-ba53-27068a334ead","resolution":{"observed_at":"2026-07-03T21:48:59.695634Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.13672/citation-record","integrity":"/paper/2412.13672/integrity","json":"/paper/2412.13672/citation-record.json","paper":"/paper/2412.13672"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:49.407788Z","title":"Aldous, Brownian excursions, critical random graphs and the multip licative coalescent , The Annals of Probability (1997), 812–854","venue":null,"work_id":"e901b918-4f41-4870-9c52-8f859d300c69","year":1997},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.761669Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:6411de005cef0f0349094f43af664caacd98f143ccca1eb87dab639bae69a5ef","observation_id":"6b85f048-6d32-4ffd-a312-eb0e0117c7a0","resolution":{"observed_at":"2026-08-11T13:02:49.413245Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.383900Z","title":"J Aldous, Deterministic and stochastic models for coalescence (aggr egation and coagulation): a review of the mean-field theory for probabilists, Bernoulli 5 (1999), no","venue":null,"work_id":"b9e7db22-0b18-4b57-926b-8fb3f48314d1","year":1999},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.769341Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:f7214007d8051a949704c1e5056935a43822e030823181dc7fd4686830cd3238","observation_id":"d44a2983-d95b-416d-b986-be82eecbca90","resolution":{"observed_at":"2026-08-11T13:02:49.390758Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.360773Z","title":"Andreis, W","venue":null,"work_id":"6303937b-b493-4365-9e18-fd75854ff63f","year":2023},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.775976Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:425e7b5a56d4ff255e8f6f6cbe9306005965d17582addf486b64ab0150f51071","observation_id":"c847e0d9-b867-4e06-962e-af74edbe4d1f","resolution":{"observed_at":"2026-08-11T13:02:49.367235Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.342729Z","title":"B Athreya and P","venue":null,"work_id":"ca9fd7ef-db8a-48f0-a14a-4b61c545e89a","year":2004},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.783047Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:55d40f398ffb6c16796cfcac17feb80007e5759db53e5bc232f49ff447f5a018","observation_id":"5815f71c-b096-479c-b728-585a99694369","resolution":{"observed_at":"2026-08-11T13:02:49.347993Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.324919Z","title":"Ball and P","venue":null,"work_id":"888c4724-c809-4521-9366-9c6aa63abff9","year":2017},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.794094Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:0e7a472634dd777f7298215137b98c1a0add7d324af798e286ae8c563d2aa0e6","observation_id":"da5df5e8-ce49-4a48-ba07-00272ea91883","resolution":{"observed_at":"2026-08-11T13:02:49.330706Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.303687Z","title":"Barbour and A","venue":null,"work_id":"45bdcaf8-7c21-49d9-8e61-9c6bf83a74b2","year":2019},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.802208Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:a1f93d65a57226f90b26a2e28654f1fc4ad41e2d84ee062b35824ac5e2fe919f","observation_id":"010b8256-17d6-475f-90c1-9d202776d7c0","resolution":{"observed_at":"2026-08-11T13:02:49.310147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.453896Z","title":"We begi n with the following lemma","venue":null,"work_id":"60fd77dc-723e-4d08-b9e6-a1970eba6e5f","year":null},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.746682Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:6275f65f1ba585e1c525b6fba07ec0c696069b0ea9db167af2fb3de6fbe9b0ee","observation_id":"32a27252-0656-42ba-8e28-ae127e1b66c6","resolution":{"observed_at":"2026-08-11T13:02:49.460931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.429327Z","title":"k-th level truncation","venue":null,"work_id":"4af2b306-1859-4241-b0fd-a19940831df3","year":2024},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.753394Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:5c6e4a2d118c323eee3020f0ab3d73c1d71785802b68f092ce05d75a5d2dda63","observation_id":"360af0c7-cf9e-4887-924d-41a14461242e","resolution":{"observed_at":"2026-08-11T13:02:49.437959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2303.10082","last_updated":"2024-06-20T15:02:38Z","snapshot_observed_at":"2026-08-13T12:22:33.979485Z","submitted_at":"2023-03-17T16:08:55Z","title":"Scaling limits and universality: Critical percolation on weighted graphs converging to an $L^3$ graphon","version":3},"cited_work":{"arxiv_id":"2303.10082","doi":null,"metadata_source":"pith","pith_arxiv_id":"2303.10082","snapshot_observed_at":"2026-08-11T13:02:48.425859Z","title":"Scaling limits and universality: Critical percolation on weighted graphs converging to an $L^3$ graphon","venue":"math.PR","work_id":"eda6f500-7490-4419-afd8-23e482672358","year":2023},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.807458Z"},"links":{"cited_paper":"/paper/2303.10082","citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:fbb0048c7147ab68df85c2452156d680e0cc1ed9151a8967665049b29c60270a","observation_id":"75818a16-1e69-4c3e-b856-fb0565c876e5","resolution":{"observed_at":"2026-08-11T13:02:48.432091Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.279539Z","title":"Bhamidi, A","venue":null,"work_id":"b9f72c31-8232-4829-95f9-9596f7565f36","year":2014},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.813893Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:26e93dc26b98cfd7f497510d5c54cba695d526ea1e9f98fc2cad7e3a2d58f378","observation_id":"88a8572d-7519-4f8c-a60f-453fc9fa4aa0","resolution":{"observed_at":"2026-08-11T13:02:49.289536Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.245162Z","title":"Bhamidi, A","venue":null,"work_id":"56b662b0-6e99-4dca-9242-e1485325989e","year":2014},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.820103Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:e69d8cec479fe0a9d52e3d429621631bb9d55c6a5abbfc18249761aa08fe6a7a","observation_id":"cf27e69c-b31c-43a2-a2b9-2d9d8fb6e53a","resolution":{"observed_at":"2026-08-11T13:02:49.255850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.212720Z","title":"Bhamidi, A","venue":null,"work_id":"936d8deb-7f49-4e63-8c79-3ba91614b0db","year":2015},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.825590Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:53e0224b47ee8ef168a85a70e1516e8a051723859629e74eb3e0a9aae2d05f09","observation_id":"8b2b8f1a-37b4-469e-91ec-796c0b80bf11","resolution":{"observed_at":"2026-08-11T13:02:49.222378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.186848Z","title":"Bollob ´as, Random Graphs, Second, Cambridge Studies in Advanced Mathematics, vol","venue":null,"work_id":"2464a64a-8a76-437f-bd68-096482112419","year":2001},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.831740Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:ff1104e79fe94b96121f617450e13d6798f73c917f48bcf485f1238c0e95b161","observation_id":"bf9580f2-e70d-437d-a24b-cfcdaea22655","resolution":{"observed_at":"2026-08-11T13:02:49.193231Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.166282Z","title":"Bollob ´as, C","venue":null,"work_id":"ad688681-c6a6-41e4-ba7a-3996e9e4cf06","year":2010},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.838428Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:c5edd2130aaff213ecab015d3d59f4cd634ca5a16c2c2cf9e949d8d0ab2a4614","observation_id":"6f2741e5-8172-49c5-bd4b-005cc4101db7","resolution":{"observed_at":"2026-08-11T13:02:49.172184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.146119Z","title":"Bollob ´as, S","venue":null,"work_id":"208e9057-6e2f-4f47-a8b6-0eff5068b2c7","year":2007},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.844304Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:715ce49ce6ddfdeadced8a80a07f003bf6f3023f7c70ed5b3782614f577b3160","observation_id":"266aaebc-a9a9-4eb3-aeae-e5102c3811ed","resolution":{"observed_at":"2026-08-11T13:02:49.152774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.113609Z","title":"Bollob ´as and O","venue":null,"work_id":"dc4c13dd-5220-45d1-bb64-2ce0af9ae17e","year":2012},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.850115Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:45df26ca0ea8c9b6a0fd4577ae498a30396bf0dfd0ea902e63f1602f278abf76","observation_id":"f0313e71-b012-4dd0-b9d9-e45eb996ba47","resolution":{"observed_at":"2026-08-11T13:02:49.120627Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.01351","last_updated":"2025-01-02T17:04:22Z","snapshot_observed_at":"2026-08-15T19:27:31.272164Z","submitted_at":"2025-01-02T17:04:22Z","title":"A central limit theorem for the giant in a stochastic block model","version":1},"cited_work":{"arxiv_id":"2501.01351","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.01351","snapshot_observed_at":"2026-08-11T13:02:48.393752Z","title":"A central limit theorem for the giant in a stochastic block model","venue":"math.PR","work_id":"06e09ab3-9828-448e-b178-f92b1f546b26","year":2025},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.867419Z"},"links":{"cited_paper":"/paper/2501.01351","citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:df1455ee06f1ad015b1c8bf9aea9482bbacd8c0c465cc70d3020abd963244941","observation_id":"0db0dde0-3241-4c37-b897-296d9ac84440","resolution":{"observed_at":"2026-08-11T13:02:48.400509Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.06995","last_updated":"2026-07-14T10:52:42Z","snapshot_observed_at":"2026-08-14T18:44:59.164810Z","submitted_at":"2024-12-09T21:03:42Z","title":"A novel approach to the giant component fluctuations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.06995","snapshot_observed_at":"2026-08-11T13:02:47.878344Z","title":"Corujo, S","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.878344Z"},"links":{"cited_paper":"/paper/2412.06995","citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:01375f1b52afc9ec0bb1a19114026e184693f5ddd4f028ae4adfbeda137cebdf","observation_id":"4f88d03f-ded0-4369-bbb3-c585ed9b9cf3","resolution":{"observed_at":"2026-08-11T13:02:47.878344Z","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":"2026-08-11T13:02:49.068312Z","title":"Corujo, The number of connected components in sub-critical random g raph processes, 2024","venue":null,"work_id":"033e7442-9aa5-421a-bb82-77487217b59c","year":2024},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.884477Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:4dab9be80ab9a9395b4c3d735aba6be548ffd8ce27752cc6894126ccaed2661d","observation_id":"baaa630c-7402-4d45-a02f-353ae0c83dd2","resolution":{"observed_at":"2026-08-11T13:02:49.090901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.044791Z","title":"Da Prato and J","venue":null,"work_id":"2a2d5398-8828-41a1-af8b-0a61fe8565a9","year":2014},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.892163Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:c005a93be9cf87402068cd08894761353a04a62e8dfd0e01023c69ace7bd91b0","observation_id":"17b31bc0-0566-474f-881d-f319df2b8ba7","resolution":{"observed_at":"2026-08-11T13:02:49.052738Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:49.007597Z","title":"Durrett, Random graph dynamics , Cambridge Series in Statistical and Probabilistic Mathem atics, vol","venue":null,"work_id":"05846bf0-e6f8-4f94-975a-9c9729bb5819","year":2007},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.898921Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:82cb7cc708dbc6f414bcba69aaa24e74788e66a3ec9b1bc8f8200d021907fa91","observation_id":"8fd8c5c9-9fc4-4b38-931d-14b4db83c62f","resolution":{"observed_at":"2026-08-11T13:02:49.016880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.983790Z","title":"Enriquez, G","venue":null,"work_id":"ad63e170-60e0-466e-8ce4-dc01d4c0cf5e","year":2024},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.906820Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:fe412851640a591c6c9b69533596f7f8c9b94e14ad2e0e9f157c9328ceef3846","observation_id":"538e5e02-891b-4f81-b719-dae27aebb484","resolution":{"observed_at":"2026-08-11T13:02:48.991529Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.951405Z","title":"Erdos, A","venue":null,"work_id":"3a38559d-27a5-48e2-8678-6eead893d9b1","year":1960},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.913030Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:6857b4ba0125e6ba7aec8979022d7f0eb18f76e0c42eb9c4ed9b85f8722df759","observation_id":"29304086-5b93-43f9-bcaf-77849a5ae211","resolution":{"observed_at":"2026-08-11T13:02:48.959504Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.929122Z","title":"Ethier and T","venue":null,"work_id":"d08f418f-74cd-4dfa-ab6d-c169587dbbe5","year":1986},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.919916Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:0fca724491b7ec24978ef2953d94bfa71373a9de9b74c1e8a29fb5d0275df51c","observation_id":"33647e12-9b35-4fc9-9302-87bc9c721fa0","resolution":{"observed_at":"2026-08-11T13:02:48.937428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.908194Z","title":"M Frieze, On the value of a random minimum spanning tree problem , Discrete Applied Mathematics 10 (1985), no","venue":null,"work_id":"58a9108e-9c36-42f6-ba46-92313748eca7","year":1985},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.926379Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:52be607dd16475b15d9005cea0578dfe68db35cd19231ae5e531a8c29b51b4c3","observation_id":"ba684dcf-ee55-406e-aa1a-a93308113ae4","resolution":{"observed_at":"2026-08-11T13:02:48.916323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.11705","last_updated":"2025-04-11T11:36:11Z","snapshot_observed_at":"2026-08-13T05:47:08.711868Z","submitted_at":"2023-10-18T04:35:23Z","title":"Random minimum spanning tree and dense graph limits","version":3},"cited_work":{"arxiv_id":"2310.11705","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.11705","snapshot_observed_at":"2026-08-11T13:02:48.335837Z","title":"Random minimum spanning tree and dense graph limits","venue":"math.CO","work_id":"c83b1c3f-e03c-46a7-8f31-fd1363c56d6e","year":2023},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.932562Z"},"links":{"cited_paper":"/paper/2310.11705","citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:44a599117b1c9e8fdb82ca7de90d1d58facc4dde52e31f9cbc57c188389d0e69","observation_id":"78f12278-d97d-42c2-ab5f-e34e57ae276e","resolution":{"observed_at":"2026-08-11T13:02:48.342736Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.887077Z","title":"Janson, The minimal spanning tree in a complete graph and a functional limit theorem for trees in a random graph, Random Structures & Algorithms 7 (1995), no","venue":null,"work_id":"22e5c218-1c2f-4221-a6db-945aa4fe5e0c","year":1995},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.938066Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:a13f16c5a850415a31201f74914475e730d883ad40a9566076c4ea9951410def","observation_id":"b351dad1-0854-4c76-a72a-aa8919169be2","resolution":{"observed_at":"2026-08-11T13:02:48.893402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.858884Z","title":"Janson, Asymptotic equivalence and contiguity of some random graph s, Random Structures & Algorithms 36 (2010), no","venue":null,"work_id":"53911b26-032d-4429-90a8-01f10d78f818","year":2010},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.946756Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:dfbcd4a51e8ad5ce3d4569f1b9b785718a63d1b3e4e38f06a518c2b8af6f339a","observation_id":"5f1fd6fa-6e86-470c-8ed8-be965663127a","resolution":{"observed_at":"2026-08-11T13:02:48.869838Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.834652Z","title":"Janson, T","venue":null,"work_id":"db678f7e-0e15-47e1-a132-24a859f8c4d9","year":2000},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.951861Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:31895482d75d4232278c740cb8cddd584712444b5fc13d64274f75afdae0d158","observation_id":"2372ff1b-0721-46ae-a801-b7c437e2ee52","resolution":{"observed_at":"2026-08-11T13:02:48.840831Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/rsa.20437","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:20.376878Z","title":null,"venue":"Random Structures and Algorithms","work_id":"dd7a27cf-e811-4295-9656-382167220945","year":2013},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.958114Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:25eee80bfedfdc7f8dea7ae93ce77bbcfe320f60b31acb0b4c9e1ac127424c48","observation_id":"a29dcc57-d66d-458f-a165-9e1f64b04ef8","resolution":{"observed_at":"2026-08-11T13:02:48.131460Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.810879Z","title":"Karatzas and S","venue":null,"work_id":"d90f2172-42ec-45fe-a071-03c1e555c767","year":2014},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.964430Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:9aa8495bc95a18c192e8a7b41c1094a40141b35def8265338b7c5e287971299d","observation_id":"f9794bcc-a39b-4b3f-91f6-96440bb196eb","resolution":{"observed_at":"2026-08-11T13:02:48.818445Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.790348Z","title":null,"venue":null,"work_id":"2e6a132b-5881-49df-9bbc-f7b08903e7a8","year":1989},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.969173Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:637627a5ac7a212886918be027bff9722b96f225f7bef772aeee929157a09214","observation_id":"674f397b-bad9-48fd-aa40-fdf96175c055","resolution":{"observed_at":"2026-08-11T13:02:48.796767Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.771012Z","title":"Kovchegov and P","venue":null,"work_id":"e36fb4f9-52aa-402c-a809-3d4d42e45616","year":2023},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.973738Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:7b0b41324b3095d9a2173beb39c9c5f5a016d597abee2ae8172145940421d330","observation_id":"ac967385-a9fd-4405-8e4f-61fd7d950da2","resolution":{"observed_at":"2026-08-11T13:02:48.776346Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.748060Z","title":"G Kurtz, Approximation of Population Processes, SIAM, 1981","venue":null,"work_id":"2b901b68-c92f-41b7-baf3-8b240e30b8d9","year":1981},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.978654Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:66f74cdd1e715e391b81ec9d65102f7cddc3b7331eabc5e01fac29d2e90e44f7","observation_id":"fe5c7e51-c939-4f4f-98bd-ce5f5974c72f","resolution":{"observed_at":"2026-08-11T13:02:48.756361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.728176Z","title":"Limic, The eternal multiplicative coalescent encoding via excursions of L ´evy-type processes, Bernoulli 25 (2019), no","venue":null,"work_id":"9ff124b3-ec86-474d-ba7c-d712cf9c0bee","year":2019},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.985411Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:e46fcfa1678c6f2d29f84b1cc4d6bcd50779124bf16354b0da99833a2e459c2a","observation_id":"86e15660-a6f2-46a6-a960-7ce91b89e2c4","resolution":{"observed_at":"2026-08-11T13:02:48.735079Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.704646Z","title":"Lov ´asz, Large Networks and Graph Limits, American Mathematical Society Colloquium Publications, vol","venue":null,"work_id":"91d114b7-6ac1-45ff-8fa6-6356c9d621c3","year":2012},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.991991Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:b1438ad4fcdec0ae27e04b7ec5338b96a52905212151bb1fd68d5746da869a0d","observation_id":"9c492362-8075-472a-bf2f-41d7e898610e","resolution":{"observed_at":"2026-08-11T13:02:48.712363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.675426Z","title":"Molloy and B","venue":null,"work_id":"2ddff87f-6968-4e9d-bea5-876104e2333c","year":1995},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:47.998050Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:8f40c626f8dc11700fee204e5180005b567f27aeca02a3e5a091189a722a6d52","observation_id":"c5d3a6c0-ed70-4baa-a007-06dc24340187","resolution":{"observed_at":"2026-08-11T13:02:48.682451Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.651696Z","title":"R Norris, Smoluchowski’s coagulation equation: uniqueness, nonuni queness and a hydrodynamic limit for the stochastic coalescent, The Annals of Applied Probability 9 (1999), no","venue":null,"work_id":"9ff1db2f-bc73-4b27-9f9d-3996d4fefdca","year":1999},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.010144Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:693e371d88b08da2197f866cea48883ed51c3c0855418ab165bc9a5c3e14a8fc","observation_id":"aca587d1-7127-427c-8988-6840e6e58b41","resolution":{"observed_at":"2026-08-11T13:02:48.657710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.632041Z","title":"Pittel, On tree census and the giant component in sparse random graph s, Random Structures & Algorithms 1 (1990), no","venue":null,"work_id":"937bcdab-9653-43d3-83c2-1c2f73cf62b3","year":1990},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.019143Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:c504079044495806d53937a062be76ea8740992321da14656b9d8191c87f6737","observation_id":"6e087f03-2698-4199-a168-08a843043404","resolution":{"observed_at":"2026-08-11T13:02:48.638133Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.614329Z","title":"Pittel and N","venue":null,"work_id":"905f1e49-af2c-4672-8cd0-4c8853b4a6ca","year":2005},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.026503Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:68aceecd8c871260fa1531e4e72a98b525912a083d907b1b7b633f3f5649c411","observation_id":"9d0c141e-ffb4-40fa-b2d8-941b43a7a7ef","resolution":{"observed_at":"2026-08-11T13:02:48.619570Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.595949Z","title":null,"venue":null,"work_id":"19f68595-17c5-453d-8189-2c97dc19d85d","year":2005},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.032191Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:e64252477a9dba7cb1fc1f0e9989448f59c7e78960a6f49dbb8ecbd42d002a19","observation_id":"2f26cdc1-3810-4f8c-b5e5-f37c8b1c3298","resolution":{"observed_at":"2026-08-11T13:02:48.602154Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.572631Z","title":"Riordan, The phase transition in the configuration model , Combinatorics, Probability and Computing 21 (2012), no","venue":null,"work_id":"c1aacea0-01c2-491d-9650-7e371236db06","year":2012},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.039194Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:7779bfbd2c37f5cecfbfec46a5ea93f988cb717536881a680e68227b5f78d653","observation_id":"adc95b0c-71c9-411c-bd09-65f6c9b55f21","resolution":{"observed_at":"2026-08-11T13:02:48.578996Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.549145Z","title":null,"venue":null,"work_id":"54373a5e-dd71-4596-9bc1-81279e783a26","year":2013},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.044749Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:d4f7e72ecff6d1eb2e3910c72f3c20a878869db3bd95df7d42955511bea17c1a","observation_id":"90b13c48-be98-4bfc-9006-e524719d8377","resolution":{"observed_at":"2026-08-11T13:02:48.557935Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.523420Z","title":"Spencer and N","venue":null,"work_id":"ede88836-5798-4824-b9d0-a88a2b2914f7","year":2007},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.051521Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:f12b8a7aa68b50ce0a275caee877dd3ec3e4125b01bb7ef980db486a73860f85","observation_id":"dbab3c05-f8c4-4967-9c85-1e93f09ac0a2","resolution":{"observed_at":"2026-08-11T13:02:48.530153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.488737Z","title":"Steele, On Frieze’sχ (3) limit for lengths of minimal spanning trees, Discrete Applied Mathematics 18 (1987), no","venue":null,"work_id":"c6290065-c954-4e0d-a0c9-d1a598e036be","year":1987},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.058188Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:745d89ff60ddd8656271cb5fec1cc1244e20703e3aa5fa5f08fdab4155c37152","observation_id":"b59af0c6-b76a-4e8b-a06f-0b3a8d73b9b0","resolution":{"observed_at":"2026-08-11T13:02:48.496181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.469351Z","title":"van der Hofstad, Random Graphs and Complex Networks","venue":null,"work_id":"ede8e70e-a8f0-45dd-ad09-13c2361b62dc","year":2017},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.066128Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:2598801c3bd056067e53528b77ebb69a190c8c024d459c44f0deb45a080a1a37","observation_id":"9aaf9a39-dba3-428f-abcb-a4ad3fc1cdce","resolution":{"observed_at":"2026-08-11T13:02:48.474992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-11T13:02:48.446520Z","title":"van der Hofstad, Random Graphs and Complex Networks","venue":null,"work_id":"e75e2abd-fa5b-4d27-af0f-32ee23135ae9","year":2024},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.071447Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:c10f18d9c4e7ae2f6e4c4150538f7dae1a1d55c705e050e51af73bc0e3b76ca6","observation_id":"03a0eab2-5aa8-4d89-82a6-4d896e6e79ca","resolution":{"observed_at":"2026-08-11T13:02:48.455232Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T13:02:48.077092Z","title":"Yu and W","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-11T13:02:48.077092Z"},"links":{"citing_paper":"/paper/2412.13672"},"observation_digest":"sha256:6a3c505224733cc22abb469166a750a7f0c0181b43f37e45f112c9868f56545b","observation_id":"75614366-ff85-445f-b73e-76a787e7b1cd","resolution":{"observed_at":"2026-08-11T13:02:48.077092Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.13672","last_updated":"2025-01-19T04:48:26Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-11T12:52:31.094204Z","submitted_at":"2024-12-18T09:53:47Z","title":"Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs"},"reference_resolution":{"displayed":48,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":4,"verified_fuzzy":39},"total_outbound_references":48},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2412.13672."}