{"as_of":"2026-08-12T19:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e9fe3bc1d15e4f71365869e1aa6a49c7a537885368f6da7187eabed34167b179","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:30:26.670606Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2507.00562/citation-record","integrity":"/paper/2507.00562/integrity","json":"/paper/2507.00562/citation-record.json","paper":"/paper/2507.00562"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:30:27.766785Z","title":"Self-organized criticality: An explanation of the 1/f noise","venue":null,"work_id":"1991b3c7-1c4b-4879-8e8e-560efc15b240","year":1987},"citing_paper":{"arxiv_id":"2507.00562","last_updated":"2025-07-08T03:56:49Z","snapshot_observed_at":"2026-08-12T17:56:33.805432Z","submitted_at":"2025-07-01T08:30:23Z","title":"Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T21:30:26.098619Z"},"links":{"citing_paper":"/paper/2507.00562"},"observation_digest":"sha256:8c63dcade79dda65e0db015e6ba1037190a828d0167a656d6f82ded569d93631","observation_id":"2b437e8b-ae3d-4f77-acae-11a60f0178d3","resolution":{"observed_at":"2026-08-06T21:30:27.830518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T21:30:27.611898Z","title":"The abelian sandpile and related models","venue":null,"work_id":"d67f6232-016b-4ac7-a5bc-130b3f5bee07","year":1999},"citing_paper":{"arxiv_id":"2507.00562","last_updated":"2025-07-08T03:56:49Z","snapshot_observed_at":"2026-08-12T17:56:33.805432Z","submitted_at":"2025-07-01T08:30:23Z","title":"Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T21:30:26.194653Z"},"links":{"citing_paper":"/paper/2507.00562"},"observation_digest":"sha256:e2bfe0750d0386f7870fc1f7e28079a34c8efa9d9f80af61099f7dcb75f70621","observation_id":"cdb430a3-010d-4e0d-9cf7-c7d1c420c33d","resolution":{"observed_at":"2026-08-06T21:30:27.686169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T21:30:27.469561Z","title":"Proof of breaking of self-organized criticality in a nonconservative abelian sandpile model","venue":null,"work_id":"2afb9e4a-5d01-4cc8-8cd0-2c88cc2d4c4b","year":2000},"citing_paper":{"arxiv_id":"2507.00562","last_updated":"2025-07-08T03:56:49Z","snapshot_observed_at":"2026-08-12T17:56:33.805432Z","submitted_at":"2025-07-01T08:30:23Z","title":"Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T21:30:26.273557Z"},"links":{"citing_paper":"/paper/2507.00562"},"observation_digest":"sha256:f4f082dcdcb6f6501970ceeadc7ce2a93e0329de88f6185cbfebe92e13d72f65","observation_id":"7e1d84d5-ab95-49d0-ad92-a1a290c76654","resolution":{"observed_at":"2026-08-06T21:30:27.530011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T21:30:27.326771Z","title":"The infinite volume limit of dissipative abelian sandpiles","venue":null,"work_id":"6bfc7f25-7900-4f35-8806-95ea16695be3","year":2004},"citing_paper":{"arxiv_id":"2507.00562","last_updated":"2025-07-08T03:56:49Z","snapshot_observed_at":"2026-08-12T17:56:33.805432Z","submitted_at":"2025-07-01T08:30:23Z","title":"Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T21:30:26.379676Z"},"links":{"citing_paper":"/paper/2507.00562"},"observation_digest":"sha256:41118fae609b0177b7fd0d4d29541beeebda5d6a34077de2b081f600a65da8e7","observation_id":"f798963a-8b13-4fcd-aece-c07747f1ec69","resolution":{"observed_at":"2026-08-06T21:30:27.392817Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T21:30:27.181657Z","title":"Approaching criticality via the zero dissipation limit in the abelian avalanche model","venue":null,"work_id":"4cbcfceb-d27d-4c89-b1ed-593b98c97b49","year":2015},"citing_paper":{"arxiv_id":"2507.00562","last_updated":"2025-07-08T03:56:49Z","snapshot_observed_at":"2026-08-12T17:56:33.805432Z","submitted_at":"2025-07-01T08:30:23Z","title":"Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T21:30:26.500474Z"},"links":{"citing_paper":"/paper/2507.00562"},"observation_digest":"sha256:0a21ce99df1b45d57ad0cc10b9bb26f5492e06f66803301dd78517dfa565662d","observation_id":"0d50e886-2d50-43e8-8ac2-fbfdaa05a4df","resolution":{"observed_at":"2026-08-06T21:30:27.248975Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T21:30:26.999931Z","title":"Ruszel, and Ellen Saada","venue":null,"work_id":"ba79985e-9311-4342-897f-53edea16b274","year":2018},"citing_paper":{"arxiv_id":"2507.00562","last_updated":"2025-07-08T03:56:49Z","snapshot_observed_at":"2026-08-12T17:56:33.805432Z","submitted_at":"2025-07-01T08:30:23Z","title":"Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T21:30:26.590066Z"},"links":{"citing_paper":"/paper/2507.00562"},"observation_digest":"sha256:fdbfb2b10a88fb26ab4c38c0e455a344985bad105283948bccc95ad31a333896","observation_id":"a9d6aa0c-3573-4ee6-8040-152cb83623a7","resolution":{"observed_at":"2026-08-06T21:30:27.086209Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-06T21:30:26.829824Z","title":"Criticality of the abelian sandpile in dimension 1","venue":null,"work_id":"a9a4bb31-3c9e-4bdb-aaa6-b6f719ff4ca9","year":2025},"citing_paper":{"arxiv_id":"2507.00562","last_updated":"2025-07-08T03:56:49Z","snapshot_observed_at":"2026-08-12T17:56:33.805432Z","submitted_at":"2025-07-01T08:30:23Z","title":"Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T21:30:26.670606Z"},"links":{"citing_paper":"/paper/2507.00562"},"observation_digest":"sha256:3129627fa89c0392982bd45b79defe821de80bc19e90494e9cd2514508d07b6e","observation_id":"ba67fa63-445d-48d2-b22f-9d3f1c463de3","resolution":{"observed_at":"2026-08-06T21:30:26.909044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.00562","last_updated":"2025-07-08T03:56:49Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-08-12T17:56:33.805432Z","submitted_at":"2025-07-01T08:30:23Z","title":"Random walks in a field of soft traps and criticality for the dissipative Abelian Sandpile Model"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":7},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2507.00562."}