{"as_of":"2026-08-10T04:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1b8fd5bdd1d47045d21731088a7baa4694708506f6d9d865746c61798902a2db","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T03:23:31.727605Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.04393","last_updated":"2024-12-01T20:48:11Z","snapshot_observed_at":"2026-08-09T12:10:31.038086Z","submitted_at":"2024-04-05T20:36:30Z","title":"Counting Like Transformers: Compiling Temporal Counting Logic Into Softmax Transformers","version":2},"cited_work":{"arxiv_id":"2404.04393","doi":"10.48550/arxiv.2404.04393","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.04393","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Counting like transformers: Compiling temporal counting logic into softmax transformers.CoRR, abs/2404.04393","venue":"arXiv (Cornell University)","work_id":"91c1fabc-0dfb-46b1-b277-551f926b07bd","year":2024},"citing_paper":{"arxiv_id":"2602.16473","last_updated":"2026-05-15T20:25:54Z","snapshot_observed_at":"2026-07-06T22:46:17.123722Z","submitted_at":"2026-02-18T14:04:02Z","title":"Synthesis and Verification of Transformer Programs (Technical Report)","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-21T12:58:04.059645Z"},"links":{"cited_paper":"/paper/2404.04393","citing_paper":"/paper/2602.16473"},"observation_digest":"sha256:e87e731d5eb68fb2819999c116a298b4f70650cc77105adc378d16290c2cace5","observation_id":"4d02441b-9e85-4617-9cfc-f1f7c56d3b6e","resolution":{"observed_at":"2026-05-21T13:00:09.996762Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.04393","last_updated":"2024-12-01T20:48:11Z","snapshot_observed_at":"2026-08-09T12:10:31.038086Z","submitted_at":"2024-04-05T20:36:30Z","title":"Counting Like Transformers: Compiling Temporal Counting Logic Into Softmax Transformers","version":2},"cited_work":{"arxiv_id":"2404.04393","doi":"10.48550/arxiv.2404.04393","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.04393","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Counting like transformers: Compiling temporal counting logic into softmax transformers.CoRR, abs/2404.04393","venue":"arXiv (Cornell University)","work_id":"91c1fabc-0dfb-46b1-b277-551f926b07bd","year":2024},"citing_paper":{"arxiv_id":"2605.16640","last_updated":"2026-05-15T21:16:03Z","snapshot_observed_at":"2026-07-06T23:27:43.762904Z","submitted_at":"2026-05-15T21:16:03Z","title":"Provably Shorter Scratchpads in Hybrid DeltaNet-Attention Decoders","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-20T19:33:57.038990Z"},"links":{"cited_paper":"/paper/2404.04393","citing_paper":"/paper/2605.16640"},"observation_digest":"sha256:80e95614820ff47d06acf169e19db43bdc47126c13aee31288ded0df32e40f9e","observation_id":"5b5d111f-4c0f-4cbb-bf98-9c2cfec66c54","resolution":{"observed_at":"2026-05-20T19:38:56.453772Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.04393","last_updated":"2024-12-01T20:48:11Z","snapshot_observed_at":"2026-08-09T12:10:31.038086Z","submitted_at":"2024-04-05T20:36:30Z","title":"Counting Like Transformers: Compiling Temporal Counting Logic Into Softmax Transformers","version":2},"cited_work":{"arxiv_id":"2404.04393","doi":"10.48550/arxiv.2404.04393","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.04393","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Counting like transformers: Compiling temporal counting logic into softmax transformers.CoRR, abs/2404.04393","venue":"arXiv (Cornell University)","work_id":"91c1fabc-0dfb-46b1-b277-551f926b07bd","year":2024},"citing_paper":{"arxiv_id":"2605.24291","last_updated":"2026-05-22T23:47:21Z","snapshot_observed_at":"2026-08-08T12:37:45.138645Z","submitted_at":"2026-05-22T23:47:21Z","title":"Rubato: Transcribing Piano Music with Timestamps","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-30T14:10:32.965827Z"},"links":{"cited_paper":"/paper/2404.04393","citing_paper":"/paper/2605.24291"},"observation_digest":"sha256:6ebb9d80584802ce83b8a1f5efb34bf94db1013d93b995ec83d2e2308f32fe35","observation_id":"dcd618c2-acba-468c-9f63-706b4fb7c03e","resolution":{"observed_at":"2026-06-30T14:14:45.052887Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.04393","last_updated":"2024-12-01T20:48:11Z","snapshot_observed_at":"2026-08-09T12:10:31.038086Z","submitted_at":"2024-04-05T20:36:30Z","title":"Counting Like Transformers: Compiling Temporal Counting Logic Into Softmax Transformers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.04393","snapshot_observed_at":"2026-07-14T03:23:31.727605Z","title":"Counting like transformers: Compiling temporal counting logic into softmax transformers","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.11760","last_updated":"2026-07-13T16:22:36Z","snapshot_observed_at":"2026-08-06T22:36:16.299904Z","submitted_at":"2026-07-13T16:22:36Z","title":"From Expressivity to Sample Complexity: Narrow Teachers for Transformers via C-RASP","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-07-14T03:23:31.727605Z"},"links":{"cited_paper":"/paper/2404.04393","citing_paper":"/paper/2607.11760"},"observation_digest":"sha256:14ec9c1bbaddf3ccecf6a140fe62c73e0e8b8c242a8e7e2a84703d301f3c257c","observation_id":"e3ad4886-1f4c-439f-85e0-1b2e3c8eeae5","resolution":{"observed_at":"2026-07-14T03:23:31.727605Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2404.04393/citation-record","integrity":"/paper/2404.04393/integrity","json":"/paper/2404.04393/citation-record.json","paper":"/paper/2404.04393"},"outbound":[],"paper":{"arxiv_id":"2404.04393","last_updated":"2024-12-01T20:48:11Z","latest_version":2,"primary_category":"cs.LO","snapshot_observed_at":"2026-08-09T12:10:31.038086Z","submitted_at":"2024-04-05T20:36:30Z","title":"Counting Like Transformers: Compiling Temporal Counting Logic Into Softmax Transformers"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2404.04393."}