{"as_of":"2026-08-20T05:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3e9d4510addd6ce3d43e498a9bfef4e2b0da64c00df65f199298235257805c2c","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:21:56.370063Z","state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T15:18:48.905079Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.03485","snapshot_observed_at":"2026-08-04T15:18:48.905079Z","title":"Marsan, M","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.20730","last_updated":"2026-07-01T21:29:45Z","snapshot_observed_at":"2026-08-13T02:28:08.700144Z","submitted_at":"2025-09-25T04:22:06Z","title":"Squeezing codes: robust fluctuation-stabilized memories","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-04T15:18:48.905079Z"},"links":{"cited_paper":"/paper/2507.03485","citing_paper":"/paper/2509.20730"},"observation_digest":"sha256:22ce681ff6753a591f1de2e10cbe1c2f085fba5318a17c6512197762645fc503","observation_id":"a15eead3-4c5e-4f12-b2d9-3ac685b109c7","resolution":{"observed_at":"2026-08-04T15:18:48.905079Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2507.03485/citation-record","integrity":"/paper/2507.03485/integrity","json":"/paper/2507.03485/citation-record.json","paper":"/paper/2507.03485"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:21:54.751480Z","title":"Applied Probability and Queues","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:54.751480Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:8b91054668f56d85777e00d90990913812fd636f0ed8a1b8c35937c87a7d6561","observation_id":"29378fc7-847f-4a23-93c3-ad041e5859f9","resolution":{"observed_at":"2026-08-06T20:21:54.751480Z","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":"2026-08-06T20:21:54.852557Z","title":"Reliable computation with cellular automata","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:54.852557Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:247b634311dc4e9cc8ab31fe12df0412979b2cce15fc48db1a5d7448d1b1399e","observation_id":"61e71ed8-e3e2-445f-84d3-4bd5b6498bf7","resolution":{"observed_at":"2026-08-06T20:21:54.852557Z","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":"10.1214/24-bjps605","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Probabilistic cellular automata with Andrei Toom","venue":"Brazilian Journal of Probability and Statistics","work_id":"f130b1ff-9ae3-4dc0-9531-5e4b23c7a8c3","year":2024},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:55.018692Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:a6521b108db26059b784a8635d1f0278591fe910c0f9899e28f2ce79e6763cac","observation_id":"3126941c-b21e-424c-bd09-fc8a7cd158e6","resolution":{"observed_at":"2026-08-06T20:21:57.044383Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T20:21:57.567197Z","title":"Reliable Cellular Automata with Self-Organization","venue":null,"work_id":"68b80125-eec5-44b1-8a7c-b97e014a6f1a","year":2001},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:55.160444Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:2a9d6e8a49c0eb13ab59d0caa93fb556e487195787a9a79aa1883a179edadd43","observation_id":"c0f50a68-500e-4770-917c-4fac4138120c","resolution":{"observed_at":"2026-08-06T20:21:57.615194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T20:21:57.458251Z","title":"Reliable Cellular Automata with Self-Organization","venue":null,"work_id":"97e9722a-56c6-4454-831e-eab938928244","year":2024},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:55.321122Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:bc4bdd2516fe14b14cb8c1b00fc6f47c3cf8aef91a76dd89fc74b3c4d06a0971","observation_id":"90d18a81-7c55-446c-a829-30dc1a66da1b","resolution":{"observed_at":"2026-08-06T20:21:57.501761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00224-021-10061-w","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Stable multi-level monotonic eroders","venue":"Theory of Computing Systems","work_id":"bf6d32a5-85bf-4b60-9f0e-d07a8583f76c","year":2022},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:55.482693Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:ef24422e0f9faa0121955905fe2ea245fabf178adad85555f581b3158585ebde","observation_id":"e4565dfb-433f-44b3-80b2-5ce6fb7d1445","resolution":{"observed_at":"2026-08-06T20:21:56.870439Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1023/a:1004824203467","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"A reader’s guide to P. G´ acs’s “positive rates","venue":"Journal of Statistical Physics","work_id":"613d2b53-367c-4f22-aed0-c1f6d9f958e2","year":2001},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:55.614318Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:edb564df30934d8f52244ba70eba9879e0397f5679db0a7ed3662ecdbfb3b241","observation_id":"8ff4cee8-5231-4197-94b0-32669e2c0b44","resolution":{"observed_at":"2026-08-06T20:21:56.773722Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf00539839","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"The positive rates problem for attractive nearest neighbor spin systems on Z","venue":"Probability Theory and Related Fields","work_id":"08ddaad8-9a52-4a9a-9870-7941dad0154e","year":1982},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:55.738944Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:bcf31983994d74b8ac7fa915baa7effe2f61189ca4eb20e29ac0dc486dfe3e8e","observation_id":"af76958a-ae17-49ec-82fd-ef1d74361c0b","resolution":{"observed_at":"2026-08-06T20:21:56.621417Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T20:21:55.896722Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:55.896722Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:e31ebaaf42f2196702dc2ac3cd01e12b19aa2b28b60183c4a4c4946d4c58cc39","observation_id":"a87b76d8-3512-4163-a8f1-ab85c1194505","resolution":{"observed_at":"2026-08-06T20:21:55.896722Z","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":"2026-08-06T20:21:56.053343Z","title":"Ergodicity of some classes of cellular au- tomata subject to noise","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:56.053343Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:7e36b925b15ce2a4a026d8a70972c41e95b8f54d7e7b9687691c4081210e8aa2","observation_id":"3a70a87f-4102-4fad-a26a-abb38bdb1855","resolution":{"observed_at":"2026-08-06T20:21:56.053343Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-06T20:21:57.294519Z","title":"Stable and attractive trajectories in multicomponent systems","venue":null,"work_id":"6d684d4b-223b-417f-8184-7b268ba9672b","year":1980},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:56.218199Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:0907ff63bf197fffa62b2a37d48af256c285d54f9a0796c3bcdc390e5985a2bb","observation_id":"56cd95ca-bf4c-47de-b249-b2c0dfad64e3","resolution":{"observed_at":"2026-08-06T20:21:57.373968Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-06T20:21:57.142211Z","title":"Bernoulli and Markov stationary measures in discrete local interactions","venue":null,"work_id":"5c807cf5-ea35-4745-b693-2d5af2569678","year":1978},"citing_paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T20:21:56.370063Z"},"links":{"citing_paper":"/paper/2507.03485"},"observation_digest":"sha256:3fa57998af2e07c51d1f3871c86bc9fe3fe656182b1f1a771f14b292a5ab5965","observation_id":"556b3310-2773-46ad-bba6-f0f507d45c67","resolution":{"observed_at":"2026-08-06T20:21:57.219368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.03485","last_updated":"2025-07-04T11:22:30Z","latest_version":1,"primary_category":"nlin.CG","snapshot_observed_at":"2026-08-17T15:22:54.736591Z","submitted_at":"2025-07-04T11:22:30Z","title":"A perturbed cellular automaton with two phase transitions for the ergodicity"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":4,"verified_fuzzy":4},"total_outbound_references":12},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2507.03485."}