{"as_of":"2026-08-08T16:56:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:41ef3bbd1c20739391e3d4821d3a248e9b73bf7218afe5e60b60974fe33f7ea7","coverage":[{"denominator":74,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":74,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:49:55.368714Z","state":"measured"},{"denominator":74,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":74,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2506.07158/citation-record","integrity":"/paper/2506.07158/integrity","json":"/paper/2506.07158/citation-record.json","paper":"/paper/2506.07158"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:49:56.579122Z","title":"Aizenman, H","venue":null,"work_id":"70f60bbc-3860-4d09-a552-efc37ffdf846","year":1987},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.008256Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:b3dcf406f784e8fc2646d226864a5df58cf449d98d917f0940215b4490a6815b","observation_id":"00553ab6-191e-451c-96a6-8e230c6c4585","resolution":{"observed_at":"2026-08-07T05:49:56.584668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.562575Z","title":null,"venue":null,"work_id":"c204cbc7-cc33-4ad4-ae6b-4044e7cf00c3","year":2013},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.013463Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:556501ed679bba6efa3917abf8528746d122b56d778d676c71553f94775f071c","observation_id":"e50aa427-dee4-478b-9fcc-517560c62311","resolution":{"observed_at":"2026-08-07T05:49:56.568062Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.546551Z","title":null,"venue":null,"work_id":"47d6efee-1972-462b-84ae-263d9480e5f4","year":2014},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.018843Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:44a40356394f5acafad602570f51379eaa30755a22757c910fdc7e6051cc7ae3","observation_id":"98f07324-84c3-40a6-8819-0b5e836ad4f5","resolution":{"observed_at":"2026-08-07T05:49:56.551374Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.531020Z","title":null,"venue":null,"work_id":"96eca09e-fa79-4311-a4ff-ac9fd9a1463d","year":2017},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.024233Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:2395a0032d6804d9b6ba47070bd970366628a8876cf2de8f821e0925463ae66d","observation_id":"af377e88-790c-4be6-892f-4fdc7764502b","resolution":{"observed_at":"2026-08-07T05:49:56.536099Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.514959Z","title":"Anantharaman and C","venue":null,"work_id":"0469d2bb-1997-4930-adf5-a2a732e937fb","year":2011},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.029070Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:fc01dfdb71b67dd63bc60cdc5d6d8cd3970acb990b379c856f12954578c8f65f","observation_id":"d7c23e26-a637-45e1-acf0-a12dc2c4f90c","resolution":{"observed_at":"2026-08-07T05:49:56.520397Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.498517Z","title":"Anantharaman and C","venue":null,"work_id":"11e34fec-103f-49af-8ac9-f0206c2808ee","year":2012},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.034200Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:c396b70c544fd9a204d518e929c712430d430f2fd650b508bcb07a4ad0bf5a09","observation_id":"cb0742f3-2035-4e97-a55e-ec14570067a0","resolution":{"observed_at":"2026-08-07T05:49:56.503323Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.06690","last_updated":"2025-04-09T08:52:16Z","snapshot_observed_at":"2026-08-07T16:07:15.783023Z","submitted_at":"2025-04-09T08:52:16Z","title":"Homogenization theory of random walks in degenerate random environment","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.06690","snapshot_observed_at":"2026-08-07T05:49:55.040017Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.040017Z"},"links":{"cited_paper":"/paper/2504.06690","citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:f6daf1f32c7271d544e8db06eb4881572f6d7c716226b7453c72d9370b06c45b","observation_id":"b2d93b8d-f05b-4a2e-982e-ed9b3ea71c3d","resolution":{"observed_at":"2026-08-07T05:49:55.040017Z","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":"2026-08-07T05:49:56.482114Z","title":"Andres, M","venue":null,"work_id":"56911cb8-5914-4b68-aec8-bc7a3fbdff67","year":2013},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.045147Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:3ad295cf1175c7c16743b198a401ae4351a5d3527045b0b7852bf87cb9663098","observation_id":"ce158185-b5e9-489b-a8da-a2fcf08830fe","resolution":{"observed_at":"2026-08-07T05:49:56.487265Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.050018Z","title":"Andres, J.-D","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.050018Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:19378247d0c600567fa50bd2e91a204d0f46ad9bc1b38f337943866282e0a1a3","observation_id":"c338606d-1edb-4ec0-87a2-39f10b81b9db","resolution":{"observed_at":"2026-08-07T05:49:55.050018Z","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":"2026-08-07T05:49:56.454891Z","title":"Antal and A","venue":null,"work_id":"37bd2245-7cc7-4510-8645-3ce46a508d43","year":1996},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.054640Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:98e98ca83a1e6e0cc19e6db24fbf62445336451d8a9cef6be916ad25e4f9640a","observation_id":"3cd36d2c-3895-49e4-b60e-116264695708","resolution":{"observed_at":"2026-08-07T05:49:56.460325Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.438603Z","title":"Armstrong and P","venue":null,"work_id":"e1530399-3327-417f-9506-11080563bf36","year":2018},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.059546Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:d419c9e0724cb7e630d5cc3bf99ec3f3be07ede11f69ac6e171f60211d4de2fd","observation_id":"3429c28b-f9af-475c-bc85-176d6be2a3e4","resolution":{"observed_at":"2026-08-07T05:49:56.443267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.06488","last_updated":"2024-09-18T17:39:05Z","snapshot_observed_at":"2026-08-04T19:18:26.680374Z","submitted_at":"2022-10-12T18:00:00Z","title":"Elliptic homogenization from qualitative to quantitative","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.06488","snapshot_observed_at":"2026-08-07T05:49:55.064630Z","title":"Armstrong and T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.064630Z"},"links":{"cited_paper":"/paper/2210.06488","citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:0e390e10f84ad6153eadb5ef293607e3de09651ed07a84587e296394444f3996","observation_id":"6bf3a4e2-828f-42bb-898e-db9cdc035ce9","resolution":{"observed_at":"2026-08-07T05:49:55.064630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.10732","last_updated":"2025-09-06T08:59:42Z","snapshot_observed_at":"2026-07-06T18:15:46.130919Z","submitted_at":"2024-05-17T12:27:56Z","title":"Renormalization group and elliptic homogenization in high contrast","version":3},"cited_work":{"arxiv_id":"2405.10732","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.10732","snapshot_observed_at":"2026-08-07T05:49:55.451783Z","title":"Renormalization group and elliptic homogenization in high contrast","venue":"math.PR","work_id":"c169df4c-7e4d-4230-a016-baf77ce56ba5","year":2024},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.069726Z"},"links":{"cited_paper":"/paper/2405.10732","citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:224711dde6ba9a60b9b362cb8cd394cdc2b0b477edf230ab738fcb0708ba58ce","observation_id":"8720412f-45d4-479c-86f7-1576f490a7b7","resolution":{"observed_at":"2026-08-07T05:49:55.457226Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.074596Z","title":"Armstrong, T","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.074596Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:2a1efb8bb8fdd0d229abc0a084f0fc47965b292fbde97ee774e9b3a1dc95e63d","observation_id":"38ec6d3c-c11f-4e8f-8517-18cc1905b937","resolution":{"observed_at":"2026-08-07T05:49:55.074596Z","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":"2026-08-07T05:49:56.411269Z","title":"Armstrong, T","venue":null,"work_id":"1c0e9808-3faa-4591-b1e0-73410828ea11","year":2017},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.079610Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:95754c0b95a97cd730b442b485681c9dd3798fa87ef248d8c43b305b757a93f9","observation_id":"16a01b2b-0164-4d11-9534-e84bc07b2f06","resolution":{"observed_at":"2026-08-07T05:49:56.416769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.394170Z","title":"Armstrong, T","venue":null,"work_id":"563b8921-8f9a-410d-8119-3679f0e7657c","year":2019},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.083946Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:79397a6df475e21b8011f8b049268e7894a39bea0acfdcb9c8ac286e35519a5f","observation_id":"09d8757c-f15d-4ab1-8a89-856c345ab5af","resolution":{"observed_at":"2026-08-07T05:49:56.399141Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.377747Z","title":null,"venue":null,"work_id":"36e456be-18ea-4287-b011-130e40fc6a51","year":2016},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.089103Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:541ce905518303b326f1f80eeaa07c5250b0b19622ad94c9f0a2df9c15b33f87","observation_id":"459eaea1-5576-449c-a2ef-97297df05923","resolution":{"observed_at":"2026-08-07T05:49:56.383341Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.361218Z","title":null,"venue":null,"work_id":"729451e8-5532-4fce-8878-478f780ec06e","year":2016},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.093562Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:de5acc061bdcaba1af83e08e4378b16aae11ddba2799d0df1f4370ca4bceb4b0","observation_id":"7618c8cd-6f1f-454b-aebc-c7751d300ba6","resolution":{"observed_at":"2026-08-07T05:49:56.366118Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.098477Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.098477Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:dd340d5ed38f25af5e896e1cc1d71dd4ffd441484e60b735a0799a946cb02fd2","observation_id":"34123528-3377-4cda-bcf3-ee8542181bed","resolution":{"observed_at":"2026-08-07T05:49:55.098477Z","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":"2026-08-07T05:49:56.334530Z","title":null,"venue":null,"work_id":"493f146f-6b35-41a9-a3c5-56a5ddc358a7","year":2010},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.103513Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:4b5231654b7f1a9e69b186d774e8771d6cd124004b21a4d3b7b3355503417484","observation_id":"d14e04ad-61e3-4bcb-af32-b1dd0f3b0959","resolution":{"observed_at":"2026-08-07T05:49:56.339612Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.317714Z","title":null,"venue":null,"work_id":"ddfa3ecb-be84-41ea-a3c6-00f3d1a47756","year":2009},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.108321Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:3407da1adeba819d1aed15b64a6d915ae0fbf34b8073332a9154b044b4a20a10","observation_id":"9a3ef668-96f5-4f03-a1c7-5aecfcf7d894","resolution":{"observed_at":"2026-08-07T05:49:56.323019Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.300674Z","title":"Benjamini, H","venue":null,"work_id":"ce538c24-bab7-4405-aff8-42b9a94bef09","year":2015},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.113474Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:0a0a3d6a685972d6b78aa82e0981cf77026a4153c78d6dfb8540d5c780ab0770","observation_id":"0e560cc9-ae5d-418b-a4d6-b4469a0567f1","resolution":{"observed_at":"2026-08-07T05:49:56.305718Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.283283Z","title":"Berger and M","venue":null,"work_id":"58f128c9-2840-4d92-a1e5-3c24e5270d7e","year":2007},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.118276Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:bed3f46995202f36cafd5106b71d4bc58b22272694e7354cfacf878bdbc2017a","observation_id":"ba01c4c8-0bb6-4959-8ada-cf006d8a30a9","resolution":{"observed_at":"2026-08-07T05:49:56.288530Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.123706Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.123706Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:2bcca84179f9badbd54867227eed9e490f9ffafd9420c901d7d29977a6128fd0","observation_id":"6d7b5303-7464-46ab-bdb6-026f532dbb6c","resolution":{"observed_at":"2026-08-07T05:49:55.123706Z","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":"2026-08-07T05:49:56.254635Z","title":"Biskup, X","venue":null,"work_id":"4d42592d-12fa-4fbc-9b43-0146e83d543d","year":2021},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.128687Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:4a9a52c12edacadf98c2693f0c61374baa0987a4ed3cb4b148bda569d54dc6ab","observation_id":"be6ccebe-990e-44c1-84d7-1fc4fe0fd1c7","resolution":{"observed_at":"2026-08-07T05:49:56.259917Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.237738Z","title":null,"venue":null,"work_id":"bacb13c7-92d7-4506-8194-7ee6c65e9c06","year":1957},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.134172Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:38aa7dcde281ed567d3970ae2aa2589c923af9a949dd524b2aaa44bd4357a32e","observation_id":"7523fed1-670b-43d4-8731-80988fd911d0","resolution":{"observed_at":"2026-08-07T05:49:56.242603Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.222163Z","title":null,"venue":null,"work_id":"712c0ede-eaa2-4a1b-8c81-9f8de71e2a74","year":1989},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.138679Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:c71d03a9e94e1ca09370151f676ad251fa7198ab072dc759feb6866ebc35fa2b","observation_id":"caba2027-3759-499b-879a-ed66d76504f5","resolution":{"observed_at":"2026-08-07T05:49:56.226850Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.206049Z","title":null,"venue":null,"work_id":"321e5014-0bc8-4115-a248-61d9b11a610b","year":1987},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.143644Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:00eec25f984db4e9d13cb574dbd3a4a1a23d90c418d1face50840d66f6fbc092","observation_id":"f0c0c342-6c6a-422d-9a34-bd988c40e4c6","resolution":{"observed_at":"2026-08-07T05:49:56.211204Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.189664Z","title":"Chen, Z.-Q","venue":null,"work_id":"608d1d78-4606-4c37-bff0-1821c3a45851","year":2025},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.148344Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:4eecc2984303a80f5007e8e2cda88b4a3721c5c35f6c05ce3be5493cc25d58d6","observation_id":"3ec8edd1-8e87-455b-98ae-8be7509f653e","resolution":{"observed_at":"2026-08-07T05:49:56.195073Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.173524Z","title":null,"venue":null,"work_id":"dfb44bc6-15c6-4b94-a7b1-22a9febb8d87","year":2021},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.153164Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:f2fd4c083040aa3899f2e0b8a07fb9c624f05ff147ef9c31f24223b4ef7c8130","observation_id":"b4db2b8e-63a4-408c-9ff6-1065d0bf3e1c","resolution":{"observed_at":"2026-08-07T05:49:56.178606Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.157655Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.157655Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:c0ece236c66863cec3c511425543460cb9245f27bb7a7be07ac9062e5b308ea3","observation_id":"229b8e7f-6821-418c-ba8f-a6fb9198d270","resolution":{"observed_at":"2026-08-07T05:49:55.157655Z","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":"2026-08-07T05:49:56.142415Z","title":"Dario and C","venue":null,"work_id":"78880712-072d-4e08-be7a-277c68ac77a3","year":2021},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.162770Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:ff5498cf4ddd56845fed13060199ec0b7b7a3ec6b6912509e6fcc0fdb67385cf","observation_id":"06324e87-bf87-41fc-8ebb-24e81de63ff3","resolution":{"observed_at":"2026-08-07T05:49:56.148752Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.123903Z","title":null,"venue":null,"work_id":"1afef32a-255e-477b-ada1-ea7aef4c7a76","year":1976},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.168120Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:1e1991bb02397296b24bafd812c78c5b0fe6dc6ed1cbae6f6ac9219768cfdff3","observation_id":"19bbb431-422b-4a97-8f0f-29061c2644c1","resolution":{"observed_at":"2026-08-07T05:49:56.129008Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.107311Z","title":"Duerinckx and A","venue":null,"work_id":"e31ac73d-5b2b-4a90-b346-415d3dfc9edf","year":2016},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.172806Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:abd12948ce377bf9df3006efc26bf6c122e0e3d33c3551d9a93775b2504c5b56","observation_id":"82058a44-c3fb-44c7-a052-f7cab4c79d6e","resolution":{"observed_at":"2026-08-07T05:49:56.112443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.089233Z","title":"Duerinckx and A","venue":null,"work_id":"5922c87a-ba87-479e-95a6-3a477c76bd50","year":2023},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.177392Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:a3f4c966e9480498d7467734fb1621afbd58302353bda14641296fc76a1486c9","observation_id":"7fbfec6c-8e59-4acf-9cf7-b42c01a97447","resolution":{"observed_at":"2026-08-07T05:49:56.094825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.070864Z","title":"Duerinckx and A","venue":null,"work_id":"a57df49a-555a-42bf-bef1-436eaa1d0e69","year":2023},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.182214Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:2fcce6f17bdd54b42c5a05cd7ebbbe929f21ce24613f5b2c85a4ea5ddb17105f","observation_id":"79d899cb-3bed-48f8-a2d9-7b6b606deae8","resolution":{"observed_at":"2026-08-07T05:49:56.076906Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.051171Z","title":"Duminil-Copin","venue":null,"work_id":"5ff1cf88-ca8f-47c7-9954-6d426a7277f2","year":2018},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.187061Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:54606f1d81ea549bd3e8f07ece0a5ee1a907515602146054cff200a1c35c638b","observation_id":"da9fff80-23c5-4250-87b1-1246abb4281a","resolution":{"observed_at":"2026-08-07T05:49:56.058055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.191780Z","title":"Fitzner and R","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.191780Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:ffd961a1da3e42be683219e1f9fb9a6fe6a8e2b8d10d73a3cb9378d85f96f997","observation_id":"ee804f1b-8a5f-41a2-be88-077d8244d097","resolution":{"observed_at":"2026-08-07T05:49:55.191780Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.07404","last_updated":"2021-07-13T16:58:41Z","snapshot_observed_at":"2026-07-06T07:15:27.859230Z","submitted_at":"2018-11-18T21:17:17Z","title":"Analyticity results in Bernoulli Percolation","version":2},"cited_work":{"arxiv_id":"1811.07404","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.07404","snapshot_observed_at":"2026-08-07T05:49:55.430634Z","title":"Analyticity results in Bernoulli Percolation","venue":"math.PR","work_id":"9a859d5e-8bae-43db-a537-f15fe8fa6065","year":2018},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.196682Z"},"links":{"cited_paper":"/paper/1811.07404","citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:9933aac8a249135031484dcbecc2a6f5d3ac71187b068b91745c84cf04b78e74","observation_id":"c4e6544c-0165-473d-b866-1207b386534a","resolution":{"observed_at":"2026-08-07T05:49:55.435913Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.021832Z","title":"Giunti, C","venue":null,"work_id":"e5c80e69-5846-41af-b43a-86ae8716d405","year":1946},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.201574Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:115622dfdd513b342e7d13f437fbc753890002a0691446fb7d1fcaae7dcd8b36","observation_id":"b4543f3c-1b5d-48c3-a5aa-f0543bfee020","resolution":{"observed_at":"2026-08-07T05:49:56.027453Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:56.002628Z","title":"Giunti, C","venue":null,"work_id":"30474519-5939-421a-830f-8961f8b559a9","year":2023},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.206705Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:9b0d24d14680d259332244294f62e745906d1670b611299d6dc55111c19c37d8","observation_id":"9300eda3-25ab-414b-b0bb-31aa89856bef","resolution":{"observed_at":"2026-08-07T05:49:56.008972Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.211083Z","title":"Gloria, S","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.211083Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:24e7208e34014b798222921e29bf4fc0e70d1b9ecfa276a2e7c26c14b1e89bdc","observation_id":"ca960b71-9057-42f4-91ba-1504012965dd","resolution":{"observed_at":"2026-08-07T05:49:55.211083Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:49:55.215815Z","title":"Gloria and F","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.215815Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:efb3802e47003221e1a18c0c2324cc71a9ef17665f881adfc6bd633f1669ab70","observation_id":"8fcb3755-9ded-4eb2-a9e9-ad7bd8228f0a","resolution":{"observed_at":"2026-08-07T05:49:55.215815Z","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":"2026-08-07T05:49:55.962185Z","title":"Gloria and F","venue":null,"work_id":"5b1c12b2-8dc6-462b-b28b-2b771d2b003c","year":2012},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.220624Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:3f1f062cc512fd3a823102dc76904ad8ba8961be3cb08ef855717bb8e5c89769","observation_id":"21386563-2706-4ac2-aaa3-f0d6aca7d70a","resolution":{"observed_at":"2026-08-07T05:49:55.967996Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.944604Z","title":"Gloria and F","venue":null,"work_id":"78d92cfd-76a2-4975-87d7-8094c34934df","year":2017},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.225863Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:349c8fc7c534876d5e2dcc7e5cb1faab7a60565d603de8a147270c2a3a7db032","observation_id":"4d118845-4654-4040-8c42-b6b526c20d47","resolution":{"observed_at":"2026-08-07T05:49:55.949902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.926447Z","title":"Grimmett.Percolation, volume 321 ofGrundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]","venue":null,"work_id":"2028d071-9a1e-4f29-820a-bbdc5f0eab4c","year":1999},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.230403Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:30e74e500d345a23472c4edf1409a0287911de3c6952afebb84f3dc2a41b0c0b","observation_id":"5b98869a-4a74-4a1b-b864-c73aab654bcd","resolution":{"observed_at":"2026-08-07T05:49:55.932640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.910075Z","title":null,"venue":null,"work_id":"09b8e350-b3cc-4b92-bce9-c6b1329c4e36","year":2022},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.235163Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:bb3f0f478d3562939eed1a7483c71d8abd46127b78f96327a4d99f153c4ce959","observation_id":"bed96e3e-98c9-4e5f-828e-8bf1c27769c8","resolution":{"observed_at":"2026-08-07T05:49:55.914953Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.04778","last_updated":"2025-08-04T08:42:11Z","snapshot_observed_at":"2026-07-06T19:46:46.160010Z","submitted_at":"2024-11-07T15:17:54Z","title":"Coupling between Brownian motion and random walks on the infinite percolation cluster","version":2},"cited_work":{"arxiv_id":"2411.04778","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.04778","snapshot_observed_at":"2026-08-07T05:49:55.407271Z","title":"Coupling between Brownian motion and random walks on the infinite percolation cluster","venue":"math.PR","work_id":"3f1934dc-8114-4252-8a4d-97cd8e10c689","year":2024},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.240539Z"},"links":{"cited_paper":"/paper/2411.04778","citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:8dfc126c63a44c90393302e2a93748516c70887cf1f5fbf3a90c2b9df2d455e3","observation_id":"a9cd0000-3e3e-4bab-9d7e-9d47d6db2b69","resolution":{"observed_at":"2026-08-07T05:49:55.414221Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.245387Z","title":"Hara and G","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.245387Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:a103429c9997a953838a43946a9f8f02ca6f83cacf445e87ee52017671bfa5c0","observation_id":"6e3cce17-0246-4732-b8ae-8029df5eb09b","resolution":{"observed_at":"2026-08-07T05:49:55.245387Z","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":"2026-08-07T05:49:55.883067Z","title":"Heydenreich and R","venue":null,"work_id":"2c1f4849-d615-4971-b9dc-30a5dae502a7","year":2017},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.250467Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:9fd9886d96c9427c889122c8822e787c42c5380d2b24544ebcb2d46aee1a2734","observation_id":"bb2379fb-b365-4821-be40-6c983eeac589","resolution":{"observed_at":"2026-08-07T05:49:55.888121Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.866730Z","title":null,"venue":null,"work_id":"d53904a5-8d21-4336-a2f9-8b82f1af3e3e","year":2021},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.255110Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:14067e9b42e314360e720a9962dca3271a0609be726084ffaf5608f535c7e791","observation_id":"4dde3031-0afa-4b37-a09e-d2295225f2af","resolution":{"observed_at":"2026-08-07T05:49:55.872137Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.851025Z","title":null,"venue":null,"work_id":"651c417b-674c-493b-9b8e-fb5c09ed99c5","year":1995},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.260300Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:dc72721ae9a627751a31eed1b1bef6b94360564310ac15f2b90db8fe24aa5d29","observation_id":"c6dc653c-aef0-4634-9cb1-d230a6758fa1","resolution":{"observed_at":"2026-08-07T05:49:55.856132Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.835172Z","title":null,"venue":null,"work_id":"476d13b6-6043-49c9-97b4-bf78d3748325","year":1994},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.264942Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:aaccba67c0464b4885ac2fde70e5990bae616dfd8d28aaa81af10d50aaec7b77","observation_id":"0f8faef4-065c-442e-ab0b-3146da82401f","resolution":{"observed_at":"2026-08-07T05:49:55.840228Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.819114Z","title":null,"venue":null,"work_id":"8609ecdb-0fe3-43f9-a290-d9ca043899ea","year":1980},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.270119Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:71f56dbe36f8ab51581af652461599a443969c40f17f1383181e6398baaf6740","observation_id":"0f45a572-16ed-4599-9d59-b1cf5f37dab2","resolution":{"observed_at":"2026-08-07T05:49:55.824996Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.803671Z","title":"Kesten and Y","venue":null,"work_id":"b0783e81-ef4a-4473-9b96-a869d9ae881a","year":1990},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.275699Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:391bf582e4130a8b6945acb49e51f18cd8343ad726df63f1accc216891ddaaaa","observation_id":"a158957c-94f0-4c0d-8752-0de591867f95","resolution":{"observed_at":"2026-08-07T05:49:55.808586Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.787248Z","title":"Kolmogoroff","venue":null,"work_id":"74e8d945-280e-4713-98e6-7d50de88f015","year":1949},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.280317Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:f9b276b0f65aabcc5984d77803f0c787a3459d1ef4103a82cdfda2c1b19afc0c","observation_id":"36815b98-4f51-4254-acc0-931043bcf340","resolution":{"observed_at":"2026-08-07T05:49:55.792287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.771338Z","title":null,"venue":null,"work_id":"8204b375-0e01-45aa-a39f-c871e822ca13","year":1989},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.286133Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:805398cf3cd1fd7729cd296b6356f684032caf308b1e24ae9df3017f4490826d","observation_id":"f5d4e482-ba38-4e07-888c-802207a8f07c","resolution":{"observed_at":"2026-08-07T05:49:55.776170Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.755463Z","title":"Lee and C.-N","venue":null,"work_id":"6583698c-c69f-456f-b124-cb295480aec7","year":1952},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.290791Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:3f77ae2acabe8f655ff92b8e97cd20f500fc39b3241c0eb82258efcd22bee0bc","observation_id":"b7f6fe24-1a13-439d-b8d2-22f72054eeb8","resolution":{"observed_at":"2026-08-07T05:49:55.760340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.739178Z","title":"Mathieu and A","venue":null,"work_id":"1eff1040-b057-45a8-8333-75ab2e31d9ca","year":2007},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.295495Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:151bafa57504c38cc04171e8262296b29f7ce15130832f04cd4c780a1149eda0","observation_id":"4823e8ea-9b7a-488f-8888-048a835fd756","resolution":{"observed_at":"2026-08-07T05:49:55.744297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.722968Z","title":"Messager and T","venue":null,"work_id":"e64c3aff-d5eb-427a-a0f4-2e2a7b561316","year":1974},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.300617Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:3058a4a0257e8760f8c8783a77bb4df4a7ed72b25650ac7a8796ba4159b1ff3b","observation_id":"e32387ac-67eb-49b9-be57-f90ce477bd2b","resolution":{"observed_at":"2026-08-07T05:49:55.727997Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.707186Z","title":"Messager and J.-C","venue":null,"work_id":"dd827780-514f-4f28-a613-ebe6b6e385ce","year":1976},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.305761Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:b33ebf4a9d1c3af75e88557179be02d78f00971e16eef388f806faea051674d6","observation_id":"75acabac-06a3-420f-a765-edc7e8bc4c60","resolution":{"observed_at":"2026-08-07T05:49:55.712155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.691843Z","title":null,"venue":null,"work_id":"c369b999-0117-4655-924a-07e35d186f93","year":2015},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.310341Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:115785e571f78112a53d23f0682d6e73378fc264eb2da8ef2f75fb57b3917643","observation_id":"9675c21a-85c4-4b68-b6ce-e0a3521ff29e","resolution":{"observed_at":"2026-08-07T05:49:55.696994Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.675322Z","title":"Naddaf and T","venue":null,"work_id":"140e80ce-cb2e-492b-b132-8d02c33f2c48","year":1998},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.314965Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:5d9868af89457e24d2415890264f6ea7fe5256173c43aa06ce5e15a4efd2e41e","observation_id":"827b4863-16d6-4bf4-a1d4-ea0d8b867015","resolution":{"observed_at":"2026-08-07T05:49:55.680423Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.656761Z","title":"Navarro Arroyo","venue":null,"work_id":"a7fc896e-0b71-42d7-9ddc-47cac3e2198e","year":2023},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.319667Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:f8c7e7d2c10979b087532e3ecaf532164375eac0e5f46c58c4a592e7fc558818","observation_id":"c3019ecc-0699-4d0f-93d1-e0494f1a5022","resolution":{"observed_at":"2026-08-07T05:49:55.663041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.638290Z","title":null,"venue":null,"work_id":"9098e0e2-3506-4c3f-89a2-5bdc7f70c64a","year":2020},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.324395Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:df7610912fd0c3ae470cb4b35005986e6e758c4d6e8a69ced8053bd9a60c6b6f","observation_id":"1a035743-b96a-4d15-8733-f1857ba97e36","resolution":{"observed_at":"2026-08-07T05:49:55.643945Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.621415Z","title":"Pisztora","venue":null,"work_id":"6d5049b4-6fa9-4feb-a462-d7a93fd156df","year":1996},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.329394Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:b296f512cb15eea08f4da0f6a3f0a239c9b1c9890ba7101289047a89f2efd84f","observation_id":"af0c032b-70f9-438d-8545-3cc682be2947","resolution":{"observed_at":"2026-08-07T05:49:55.626000Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.604416Z","title":"Procaccia, R","venue":null,"work_id":"08211d98-572c-41cd-9e00-37776b260e36","year":2016},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.333978Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:77aebd6edc9647a2d80fcaff7fa7c48b3ebd0c8e316d4808b85e6d749ad2d387","observation_id":"227b717b-b2ec-4b02-b6c4-0c367a4529a8","resolution":{"observed_at":"2026-08-07T05:49:55.609636Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.586955Z","title":"Rudin.Principles of mathematical analysis","venue":null,"work_id":"a7bc3040-f578-4c2b-b80a-f5624416f517","year":1976},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.338960Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:afc43fee1539edf0badedb350d2ecf0e749dab9bb8d997eaec898fb7e843b43a","observation_id":"88ca6796-a324-492c-bf89-e7fb062afebf","resolution":{"observed_at":"2026-08-07T05:49:55.592096Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.570200Z","title":null,"venue":null,"work_id":"288ab0d9-0185-432b-b0c4-eb0c60e835a2","year":1978},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.343624Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:41f884dbed416b1296661555ae7c238762eb752b76228ef3d3d5f744bfc70a5c","observation_id":"87cd3639-f79b-4615-b0ed-9f45cc3fd281","resolution":{"observed_at":"2026-08-07T05:49:55.575395Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.349192Z","title":"Sapozhnikov","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.349192Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:3d9a8805f54e31c9117d82648307340e9d6d4affa21ef208d18be485ee19d75f","observation_id":"1cf9534e-eebb-45a5-b756-ccd28a1dd214","resolution":{"observed_at":"2026-08-07T05:49:55.349192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:49:55.353990Z","title":"Sidoravicius and A.-S","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.353990Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:c540f0210ee6d560b79d1e47768b3e76d57d7838638b867844ddc55e1ab8c17c","observation_id":"282949e2-dd4e-453b-9240-511c2cb4750b","resolution":{"observed_at":"2026-08-07T05:49:55.353990Z","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":"2026-08-07T05:49:55.534762Z","title":"Smirnov and W","venue":null,"work_id":"fbb7b678-b7bb-430c-95f3-4ceba3ed4ad8","year":2001},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.359296Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:e50997d1c303633f8b7adcbe4b88b07da75618f07a8423f4db9a0b9856e8d71c","observation_id":"e74f923a-8cff-499a-8673-3479c197224a","resolution":{"observed_at":"2026-08-07T05:49:55.539401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.517703Z","title":"von Landau","venue":null,"work_id":"b6348826-54e2-4d01-a5df-95f15ba253e1","year":1914},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.364206Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:18f4895c32cd9bc33d3c0624819a049623d3f877d2bc9a5a6d21eb743eeeddb5","observation_id":"66022ceb-96a5-4c74-9cef-39bc9ce20d99","resolution":{"observed_at":"2026-08-07T05:49:55.522857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T05:49:55.501773Z","title":null,"venue":null,"work_id":"bd2c7035-7cfd-4357-9c0e-1e16aca797ef","year":1989},"citing_paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:55.368714Z"},"links":{"citing_paper":"/paper/2506.07158"},"observation_digest":"sha256:dd8beee9a7d9ff404fd3026fe716452dcbd8055fcf20a04f13ea7cb4064e7ab4","observation_id":"b23f7c6b-03f6-40cb-8d42-b7ba6daa03e6","resolution":{"observed_at":"2026-08-07T05:49:55.506668Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.07158","last_updated":"2025-06-08T14:07:49Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-07T05:38:24.062783Z","submitted_at":"2025-06-08T14:07:49Z","title":"The diffusivity of supercritical Bernoulli percolation is infinitely differentiable"},"reference_resolution":{"displayed":74,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":35,"verified_exact":2,"verified_fuzzy":36},"total_outbound_references":74},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 74 of 74 outbound references and 0 inbound Pith citation observations for arXiv:2506.07158."}