{"as_of":"2026-08-18T17:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:906799361dc80daf3265e7d9df7ce2ba3d880b85ea12518b6aeb1202833ce26e","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T10:54:04.114758Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-24T10:54:21.647852Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1807.11364","last_updated":"2022-03-16T20:53:51Z","snapshot_observed_at":"2026-08-18T00:45:35.409236Z","submitted_at":"2018-07-30T14:15:22Z","title":"The logarithmic Picard group and its tropicalization","version":5},"cited_work":{"arxiv_id":"1807.11364","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1807.11364","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Molcho and J","venue":null,"work_id":"2d9df9f0-9130-4668-b92b-7e0748fb7cce","year":2018},"citing_paper":{"arxiv_id":"2211.15719","last_updated":"2025-07-02T09:32:47Z","snapshot_observed_at":"2026-08-14T23:11:17.253445Z","submitted_at":"2022-11-28T19:03:46Z","title":"Universality for tropical and logarithmic maps","version":5},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-05-24T10:54:04.114758Z"},"links":{"cited_paper":"/paper/1807.11364","citing_paper":"/paper/2211.15719"},"observation_digest":"sha256:3f373eba5d1fc6e3de7a5e2bbece3eb133fae57082b0ecaa6f79517d6139a8a3","observation_id":"2bfb31e5-0a78-4dab-854f-025b92ac54bc","resolution":{"observed_at":"2026-05-24T10:54:21.651428Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1807.11364","last_updated":"2022-03-16T20:53:51Z","snapshot_observed_at":"2026-08-18T00:45:35.409236Z","submitted_at":"2018-07-30T14:15:22Z","title":"The logarithmic Picard group and its tropicalization","version":5},"cited_work":{"arxiv_id":"1807.11364","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1807.11364","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Molcho and J","venue":null,"work_id":"2d9df9f0-9130-4668-b92b-7e0748fb7cce","year":2018},"citing_paper":{"arxiv_id":"2604.19713","last_updated":"2026-04-22T14:33:44Z","snapshot_observed_at":"2026-08-18T00:43:49.463857Z","submitted_at":"2026-04-21T17:38:59Z","title":"The integral Chow ring of $\\mathscr{M}_{0}(\\mathbb{P}^r, 2)$","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-05-10T01:36:07.063249Z"},"links":{"cited_paper":"/paper/1807.11364","citing_paper":"/paper/2604.19713"},"observation_digest":"sha256:6803081906dd4bce158e611d1e0c9410008afcf63d7f869c203ce3c2698e643f","observation_id":"252ea24d-0a7b-48eb-9318-32ea94b561b9","resolution":{"observed_at":"2026-05-11T13:31:02.959383Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1807.11364/citation-record","integrity":"/paper/1807.11364/integrity","json":"/paper/1807.11364/citation-record.json","paper":"/paper/1807.11364"},"outbound":[],"paper":{"arxiv_id":"1807.11364","last_updated":"2022-03-16T20:53:51Z","latest_version":5,"primary_category":"math.AG","snapshot_observed_at":"2026-08-18T00:45:35.409236Z","submitted_at":"2018-07-30T14:15:22Z","title":"The logarithmic Picard group and its tropicalization"},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1807.11364."}