{"as_of":"2026-08-15T14:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b6128fd7da6554d2dd2a106f320cee9046a9a834630625d44032d400bcc95b30","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:23:06.532888Z","state":"measured"},{"denominator":34,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":34,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2507.03575/citation-record","integrity":"/paper/2507.03575/integrity","json":"/paper/2507.03575/citation-record.json","paper":"/paper/2507.03575"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.17066","last_updated":"2024-03-25T18:02:28Z","snapshot_observed_at":"2026-08-13T00:45:23.564963Z","submitted_at":"2024-03-25T18:02:28Z","title":"Chain rule symmetry for singular SPDEs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.17066","snapshot_observed_at":"2026-08-06T20:23:03.913307Z","title":"Bruned and V","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:03.913307Z"},"links":{"cited_paper":"/paper/2403.17066","citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:a27393deb6142f65f3864812bdef78121a083f67d6d89c43a97a4bd7e8d8a461","observation_id":"83e7e1e4-0b46-4312-bf77-b4c3b635ebb0","resolution":{"observed_at":"2026-08-06T20:23:03.913307Z","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":"2026-08-06T20:23:03.977183Z","title":"Bailleul, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:03.977183Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:ebf739c9189bc13ffb8cccbcf48a12d3e985cf93ca531b08e2355e60eca7b581","observation_id":"126b25ec-ba31-4b90-8408-51698c2f6f86","resolution":{"observed_at":"2026-08-06T20:23:03.977183Z","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":"2026-08-06T20:23:04.029325Z","title":"Barbu, G","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.029325Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:37e38b136379ee5e5311dfacf380179d2fde3054fe8e75b244945dd5770e1a42","observation_id":"bb623a9a-ca06-4205-bedb-199d6efa60a0","resolution":{"observed_at":"2026-08-06T20:23:04.029325Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.13620","last_updated":"2024-06-07T01:51:02Z","snapshot_observed_at":"2026-08-13T04:35:20.999206Z","submitted_at":"2024-01-24T17:48:03Z","title":"Quasi-generalised KPZ equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.13620","snapshot_observed_at":"2026-08-06T20:23:04.096955Z","title":"Bruned, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.096955Z"},"links":{"cited_paper":"/paper/2401.13620","citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:9e7fec93e5b4f180c4db737d0306187de74b5665079d679bbd9cf5dd2141eb14","observation_id":"d7a0f28d-3373-40aa-b45b-23fe24c85235","resolution":{"observed_at":"2026-08-06T20:23:04.096955Z","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":"10.1214/22-aop1583","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Bruno, B","venue":"The Annals of Probability","work_id":"d43f702a-d00b-4523-bb6f-4ff4abb59887","year":2022},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.161071Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:7f7f61d0baf39b2098429fad69908cd569f5790734f42d0619899900e37df099","observation_id":"2bc67ad5-ac43-4bce-9439-90c9aec4f20c","resolution":{"observed_at":"2026-08-06T20:23:08.546984Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:23:04.171166Z","title":"Bailleul, M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.171166Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:c8d6e2b55833559f79e51eb4dbee878cf85710215d0919ab3d8d22235df1779e","observation_id":"793c0601-2f1b-4dac-8e26-2d403adfcb6c","resolution":{"observed_at":"2026-08-06T20:23:04.171166Z","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":"2026-08-06T20:23:09.418305Z","title":"Bergh and J","venue":null,"work_id":"b4938b99-74fb-40a0-b416-d23f2c91077d","year":1976},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.277229Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:9f4c72c6677e4f152bce3fa4facf849469af1b131a4aa55aecabeaf50d19f826","observation_id":"d2751c0c-1299-49f2-8a9c-38e6f47fd2c7","resolution":{"observed_at":"2026-08-06T20:23:09.489851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11118-022-10028-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Broux and D","venue":"Potential Analysis","work_id":"7d1651c1-1b7f-4493-b5a4-5112d0721e12","year":1912},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.395027Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:e602abfef3eb676bcf5949c9511ade958f12e1560d6aaa909da59f3732a4faef","observation_id":"955aba77-b1e7-40f8-aac7-d4ea5416eef0","resolution":{"observed_at":"2026-08-06T20:23:08.356483Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s40072-022-00239-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Bailleul and A","venue":"Stochastic Partial Differential Equations Analysis and Computations","work_id":"ff7d398b-2758-47ec-b6df-e5ec2a44a9fd","year":2023},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.457061Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:f49401dcea062521fb42d816ab4940de25feaa83a3346e7b90bdc44a073afc37","observation_id":"16884072-b6a5-4bdb-a0be-5e5b47499f79","resolution":{"observed_at":"2026-08-06T20:23:08.199938Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jde.2018.09.012","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Dareiotis, M","venue":"Journal of Differential Equations","work_id":"6332c042-f057-4048-82fb-2743f4ff53de","year":2019},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.524268Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:7f030344eb9713597c00d6c142a63feff20da2fd4f220f827ddc41cd73d72a28","observation_id":"4562713f-ce8b-418d-95e7-f2bc6c94f051","resolution":{"observed_at":"2026-08-06T20:23:08.044952Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1214/20-aihp1139","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Dareiotis, M","venue":"Annales de l Institut Henri Poincaré Probabilités et Statistiques","work_id":"c3b05f49-76bc-46b2-8faa-c004487fc0fe","year":2021},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.586011Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:35b7d7809c13dd87502e4c178d6a0e6b67afc9cc9868fd1617d746c0953ec636","observation_id":"82549e28-24bf-46bc-894c-b0ac2ba75714","resolution":{"observed_at":"2026-08-06T20:23:07.893814Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/19m1278521","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Dareiotis, B","venue":"SIAM Journal on Mathematical Analysis","work_id":"c84393c2-93a8-4a01-a59a-c26c5a094410","year":2020},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.665815Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:3373f6de8f2f982d783c2f450ae107a772d286e0b356af7b79722580909fc490","observation_id":"a957c486-0503-4493-8824-ef7b114830ee","resolution":{"observed_at":"2026-08-06T20:23:07.739177Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:23:04.736070Z","title":"Debussche, M","venue":null,"work_id":null,"year":1916},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.736070Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:26545689eac6f0a5400d47fcf3c46b2b836e308d746837bca9a4efdd85939f4c","observation_id":"a12682a2-0dbe-4ebf-bd0e-4f66b466b274","resolution":{"observed_at":"2026-08-06T20:23:04.736070Z","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":"10.17879/53928488946","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"de Lima Feltes","venue":"URN:NBN Resolver for Germany & Switzerland (German National Library)","work_id":"76fda137-0882-4c1e-b528-443cfa4740bb","year":2024},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.800321Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:37215e8fc45f6a312356f73e99180c41737b2ed407cff7b889fe749947708cf3","observation_id":"d6918964-a35f-40bb-9c9b-aea5fd7d0eee","resolution":{"observed_at":"2026-08-06T20:23:07.615207Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:23:04.862197Z","title":"Furlan and M","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.862197Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:c84163fa81ffe663886a4c4f0c8786fd3d40e8a8f5683b250123c891d12dbc20","observation_id":"5a2a46e9-8207-471a-9a60-8d94a5d2662f","resolution":{"observed_at":"2026-08-06T20:23:04.862197Z","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":"2026-08-06T20:23:04.916579Z","title":"Gerencs\\' e r","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.916579Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:edf416302c24d2a57f41cc78c07c26ef4b01e8c7f64f6230e386d6ba8e2ce555","observation_id":"f1c9f7e5-8622-467e-8331-0803478e08da","resolution":{"observed_at":"2026-08-06T20:23:04.916579Z","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":"10.4171/jems/1014","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Journal of the European Mathematical Society","work_id":"408978b5-771f-4d0f-9aa6-ea90f9dfceaf","year":2021},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:04.969996Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:f15b48e621f0eb16add480cd60af635b53fc34e620fc4bfc6fde893c12bf500c","observation_id":"2a44a8fe-f5a6-4220-a004-674b878b079e","resolution":{"observed_at":"2026-08-06T20:23:07.433444Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:23:05.041312Z","title":"Gess and M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.041312Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:f1d27a84477c249014f358b18c1ec1e499567ad6beeb0ea98d52f75eb048ea58","observation_id":"c84e8e51-a9f6-4687-8d02-9011db8a4823","resolution":{"observed_at":"2026-08-06T20:23:05.041312Z","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":"2026-08-06T20:23:05.129939Z","title":"Gerencs\\' e r and M","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.129939Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:c7303162bb1f0ba9673431bfdbc7abb1f8247be038fd946efa08957e58c0978a","observation_id":"75809d83-699a-4e6d-8580-049b08eccb8c","resolution":{"observed_at":"2026-08-06T20:23:05.129939Z","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":"2026-08-06T20:23:05.193753Z","title":"Gubinelli, P","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.193753Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:55ea1f09c92f0b8de10656395b257bffe681e4f957e0215047907d53c7b4be6a","observation_id":"80a0ff51-540d-4583-a0e0-622b11ed3d56","resolution":{"observed_at":"2026-08-06T20:23:05.193753Z","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":"10.2140/apde.2020.13.2441","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Analysis & PDE","work_id":"0551fc85-5bed-4d72-b44b-be039e27105b","year":2020},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.286294Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:61b7af81ee67704ae088a4ab4c86148d8ec6f7d192f769a74df54e5af22423b5","observation_id":"786a28ab-f9fa-4ba7-8159-33694e7470ec","resolution":{"observed_at":"2026-08-06T20:23:07.166344Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:23:05.370911Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.370911Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:a76e750fc0393d3c46a9507406a7abff146b302fd7123c74d8897e4e7f9dfc21","observation_id":"376be993-f6ff-49b4-a823-ae527449eb6b","resolution":{"observed_at":"2026-08-06T20:23:05.370911Z","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":"2026-08-06T20:23:09.225680Z","title":null,"venue":null,"work_id":"b9d584bf-e2c5-4d13-8cef-4812bbea60a6","year":1979},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.433934Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:1e5f9b9ea7d437da1dbb7d8663110a32c89412a6d7420dd7eec627ea44b934f5","observation_id":"5b43eb86-117c-4306-9763-b9f107f87029","resolution":{"observed_at":"2026-08-06T20:23:09.337385Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:23:05.513839Z","title":"Linares, F","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.513839Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:f09880e2039fc63e96a12ba522203328541c04a826ff8dc1fbb3ee2f4c059b23","observation_id":"35adf8c6-377e-4071-b13c-03135aa93143","resolution":{"observed_at":"2026-08-06T20:23:05.513839Z","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":"2026-08-06T20:23:05.577183Z","title":"Linares, F","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.577183Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:141816867161e0c85f85dea4227f8890e41b47e3a413a047bc977cbda23a3d4f","observation_id":"0d4f0d6e-1a5f-4873-84d4-7dcf8e8c67b2","resolution":{"observed_at":"2026-08-06T20:23:05.577183Z","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":"2026-08-06T20:23:05.658050Z","title":"Lions, B","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.658050Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:25c92163dc3945fa8a23ff1d7fa1120bf2aaacf54202da41d79db9f5d9c615b7","observation_id":"a2a0d1ae-93ab-4a92-bb1e-2ac9e8435380","resolution":{"observed_at":"2026-08-06T20:23:05.658050Z","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":"2026-08-06T20:23:09.052734Z","title":null,"venue":null,"work_id":"e70adcd8-7f89-4432-9aef-ae93ca70eca4","year":1968},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.742067Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:4dcbcd2d99e2a03bc5d16b914c7727abe4d6acb6aa87afa991107413a7fe3ef7","observation_id":"91e5680b-352c-4f77-9b4c-58ab3b1174e3","resolution":{"observed_at":"2026-08-06T20:23:09.126347Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:23:05.828395Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.828395Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:9d29cc3ca3fa013ed2b69ee51f918380f2cc447b8fa731631e047ad9692ebd52","observation_id":"26c613e0-bc4b-4284-8381-427726a7ff50","resolution":{"observed_at":"2026-08-06T20:23:05.828395Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.07884","last_updated":"2018-03-26T12:55:44Z","snapshot_observed_at":"2026-08-14T19:33:59.299790Z","submitted_at":"2018-03-21T12:27:58Z","title":"Parabolic equations with rough coefficients and singular forcing","version":2},"cited_work":{"arxiv_id":"1803.07884","doi":null,"metadata_source":"pith","pith_arxiv_id":"1803.07884","snapshot_observed_at":"2026-08-06T20:23:08.683220Z","title":"Parabolic equations with rough coefficients and singular forcing","venue":"math.AP","work_id":"9a0417b6-8208-4a9f-93e3-663cf5c81f9c","year":2018},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.913355Z"},"links":{"cited_paper":"/paper/1803.07884","citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:93088688b03b34dd110d34899e3da081520837438e348342f207a51ca0f630ab","observation_id":"8882ab86-27d5-4f71-b736-47549b13edc5","resolution":{"observed_at":"2026-08-06T20:23:08.767840Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:23:05.990554Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:05.990554Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:727a54cf6dea55cd1ddb221d79d99d3ebedd48c77cd736f072786b7b1b4a92bc","observation_id":"15ab2e28-e067-488d-84bd-2a7f39963626","resolution":{"observed_at":"2026-08-06T20:23:05.990554Z","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":"2026-08-06T20:23:06.113896Z","title":"Otto and H","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:06.113896Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:ba3c5db59040a6815db5d1c833194c7f175a9bb6989674d241bad17404ac5850","observation_id":"391d353e-b224-4d0f-98de-32fb76bbc530","resolution":{"observed_at":"2026-08-06T20:23:06.113896Z","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":"2026-08-06T20:23:08.889516Z","title":null,"venue":null,"work_id":"d76d069f-94e8-4a23-8f51-808f3ef19b2b","year":1974},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:06.264251Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:9d783d44d2c9010072282b0b9717dc4d1e338644f75683c9cb170a207e6fdb59","observation_id":"c2f3e74b-489c-47c1-a164-9545f9da66d7","resolution":{"observed_at":"2026-08-06T20:23:08.976581Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:23:06.390751Z","title":"Tempelmayr","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:06.390751Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:1163b1c1895f99917580650877adb2ee308eadd860a8e4184d64f03f853e924b","observation_id":"67a4374f-6427-4400-a30f-33454b0672f8","resolution":{"observed_at":"2026-08-06T20:23:06.390751Z","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":"10.1002/cpa.20180","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Tadmor and T","venue":"Communications on Pure and Applied Mathematics","work_id":"bb1f6875-e316-4f38-b364-f618aab78eda","year":2007},"citing_paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T20:23:06.532888Z"},"links":{"citing_paper":"/paper/2507.03575"},"observation_digest":"sha256:00b457deac6dfacb663070e29d3655c0103d1fdd0b5d58bb7ba6c6ec11d7a428","observation_id":"d7a30ad1-c50b-4e19-8f9c-033492d744db","resolution":{"observed_at":"2026-08-06T20:23:06.866333Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.03575","last_updated":"2025-07-08T13:08:04Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-11T20:05:30.273904Z","submitted_at":"2025-07-04T13:39:59Z","title":"A priori bounds for stochastic porous media equations via regularity structures"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":22,"verified_exact":11,"verified_fuzzy":1},"total_outbound_references":34},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.03575."}