{"as_of":"2026-08-08T18:53:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:acc2d15352001f4bc34707029426672ef7a851375ef7c7321f69bdcc19352e04","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T07:16:58.614647Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2607.11069/citation-record","integrity":"/paper/2607.11069/integrity","json":"/paper/2607.11069/citation-record.json","paper":"/paper/2607.11069"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T07:16:58.614647Z","title":"Cambridge University Press, 2014","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:1e67481ec89c471b72cac9ec6cfcdca53f7eebe292c600ca3b96d2dc080f6807","observation_id":"d146bc28-8bcc-4cbc-a8c1-09715edc07f8","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"Allaart and Kiko Kawamura","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:d1bc0a75815bfff2f2130d69a80565d358efc511cffb80ab1a56e384ae197554","observation_id":"87d7720a-841e-4df9-adb4-b77a0e737df7","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"Numeration, Liège 2023","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:2a227f0634fdee7d6ea97985103763169856dfade76c52c78805a076717f479f","observation_id":"25bee0d2-6d69-4b0f-b024-dd5067637c11","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.16045","last_updated":"2026-04-13T04:20:41Z","snapshot_observed_at":"2026-08-06T22:59:13.579865Z","submitted_at":"2025-02-22T02:45:51Z","title":"Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.16045","snapshot_observed_at":"2026-07-14T07:16:58.614647Z","title":"Sharp lower bounds for dyadic square functions of indicator functions of sets.arXiv preprint arXiv:2502.16045, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"cited_paper":"/paper/2502.16045","citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:a84bc0a7437672edebfbbc19b47ebfd074ae472c786ea4958bdbe0357745e8e4","observation_id":"00d978ed-347b-4757-a93a-78ec76c09fb1","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"On sharp isoperimetric inequalities on the hypercube, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:7774e419ca8d2342d74bb503cc5c09c481e9d9774d79d44a48fef9f504d89bda","observation_id":"16602e7e-df5b-4a3e-9018-42dcb988e476","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"A class of functional inequalities and the takagi function.Journal of Inequalities and Applications, 6(4):379–393, 2001","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:f52057e38194c3410175414dbdef9aae672798294514ca558310190d6276a111","observation_id":"58acbd7a-6547-4e7f-8186-70c8b3b00785","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":null,"venue":null,"work_id":null,"year":1972},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:544f3957ccab6e1e3b90bfaa2dcdece17fa6af7b7ee81c0fc3cc5127ff93eb09","observation_id":"f6a92cd4-b4bb-4185-b9a0-9594060933e3","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:e8c6bd0969999d2a06a05f9c97402e51d5cbf802c36aab0624f9c96fd33b0742","observation_id":"639574fc-8fd7-460d-970e-dc2ada7b2b34","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"On thelp norms of stochastic integrals and other martingales.Duke Mathematical Journal, 43(4):697–704, 1976","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:2943c08c96ecc18dc320acc10f285aa08c2ed7c3dffc2cffe1c12f90744b9f97","observation_id":"48ca1e71-055a-4eb4-aea3-f865d2ced391","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"Sharp isoperimetric inequalities on the hamming cube near the critical exponent, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:97925e7cc049350878b0af4c0f502bf59c3ea0a7016d30597329f050fb8f8487","observation_id":"2bb16c68-4d8b-4357-883a-573806f5dc4f","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"A note on the edges of then-cube.Discrete Mathematics, 14(2):157–163, 1976","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:8079f8e35ac2272e1fbd5d2708fefd964f880ad30702773739e4253c8eae4ba4","observation_id":"fb195e71-2507-415b-8bee-db89ebd7e499","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"A note on the edges of the n-cube.Discrete Mathematics, 14(2):157–163, 1976","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:7d37bc66962c41bc90f0f51893cebe2d9a6704d5cbe14a3f542521c389776c55","observation_id":"4a5ec300-b9aa-445a-b93f-6f937d1ac3dd","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"Ein beispiel einer nicht analytischen funktion.Mathematische Zeitschrift, 3(1–2):93–97, 1919","venue":null,"work_id":null,"year":1919},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:beebc082c1177fa530eda87dfa530459e9cf8cf404038d3fdacbd618f71ab793","observation_id":"6a2fbaf2-905d-4e08-a8d6-17efd0fb323a","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.01234","last_updated":"2023-12-27T17:54:38Z","snapshot_observed_at":"2026-08-06T03:25:58.931434Z","submitted_at":"2023-03-01T06:04:25Z","title":"Frauds Bargain Attack: Generating Adversarial Text Samples via Word Manipulation Process","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.01234","snapshot_observed_at":"2026-07-14T07:16:58.614647Z","title":"Edge–Isoperimetric problem for cayley graphs and generalized takagi function.Israel Journal of Mathematics, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"cited_paper":"/paper/2303.01234","citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:e1efe6146d29199b3c83438948096ab87bba192ee814f9565a0fcf510da703fb","observation_id":"bbd2dbe9-b83f-4398-a2f4-408d295ea3d9","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"A simple example of a continuous function without derivative.Proc","venue":null,"work_id":null,"year":1903},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:71be664e96bc585c9f2791814a3737fa561d3feca88d62bf0d800a922f756dcb","observation_id":"a7449aef-45f9-41d4-b8cb-49758b37b246","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"Sharp inequalities for the conditional square function of a martingale.The Annals of Probability, 19(4):1679–1688, 1991","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:1f25fb559155ce80d868327a467a0b12bc62aaa09e7fc3462bec2504c9027c14","observation_id":"db948b02-37f7-4797-ae0e-0c2fbf29dc18","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","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":"2026-07-14T07:16:58.614647Z","title":"Sharp square-function inequalities for conditionally symmetric martingales.Transactions of the American Mathematical Society, 328(1):393–419, 1991","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-14T07:16:58.614647Z"},"links":{"citing_paper":"/paper/2607.11069"},"observation_digest":"sha256:d3d47518739ada61fa47a1a366ea6518ad8ecf9a1a13bad85b476effd90dce84","observation_id":"fd2b0008-2a7e-4af7-b8f1-555388e59076","resolution":{"observed_at":"2026-07-14T07:16:58.614647Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.11069","last_updated":"2026-07-13T04:17:27Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-08-04T00:20:06.353856Z","submitted_at":"2026-07-13T04:17:27Z","title":"Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":17},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.11069."}