{"as_of":"2026-08-09T16:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9ba68e2c846c9fa2507073b3d904ca785b80c4280abd0c5cd3e9d1394aa4222f","coverage":[{"denominator":11,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T15:38:01.335120Z","state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+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/2607.22540/citation-record","integrity":"/paper/2607.22540/integrity","json":"/paper/2607.22540/citation-record.json","paper":"/paper/2607.22540"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T15:38:01.291635Z","title":null,"venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.291635Z"},"links":{"citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:f47d56580ef24da11ad0342c72db8506ae476e41dd8032a8da6c89c496fac481","observation_id":"e0ab839c-d903-4618-921f-92fe196020a3","resolution":{"observed_at":"2026-08-02T15:38:01.291635Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2204.05238","last_updated":"2022-04-11T16:34:01Z","snapshot_observed_at":"2026-07-06T12:59:12.318367Z","submitted_at":"2022-04-11T16:34:01Z","title":"Optimal Routing for Constant Function Market Makers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.05238","snapshot_observed_at":"2026-08-02T15:38:01.296291Z","title":"Angeris, T","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.296291Z"},"links":{"cited_paper":"/paper/2204.05238","citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:0c68cc3f3a2e8e7bd5100d369b241e34ab41b486070afe5c14844b7ca30ae570","observation_id":"9b475781-090f-409f-b36e-76719b042406","resolution":{"observed_at":"2026-08-02T15:38:01.296291Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.10001","last_updated":"2020-06-26T19:03:53Z","snapshot_observed_at":"2026-08-03T15:38:45.850420Z","submitted_at":"2020-03-22T21:37:04Z","title":"Improved Price Oracles: Constant Function Market Makers","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.10001","snapshot_observed_at":"2026-08-02T15:38:01.300617Z","title":"Angeris and T","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.300617Z"},"links":{"cited_paper":"/paper/2003.10001","citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:0e2a1df60010a02e6ca86ea428d2ef54e9078ec2625376edb275fcf75b870191","observation_id":"f0c488e6-4d58-4082-a3dc-99a362654eae","resolution":{"observed_at":"2026-08-02T15:38:01.300617Z","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":"2026-08-02T15:38:01.306311Z","title":"Adams, N","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.306311Z"},"links":{"citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:d37f206b8c340809ebd85ffa92b1a7f054c82b3d985119a80cabca7dccabe1f2","observation_id":"5960d050-cff1-4b1d-b92e-16e08348b17f","resolution":{"observed_at":"2026-08-02T15:38:01.306311Z","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":"10.1007/978-3-662-63958-0_15","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Danos, H","venue":"Lecture notes in computer science","work_id":"bd5566c9-e470-4053-9288-d6fe155a50bf","year":2021},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.310585Z"},"links":{"citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:2e0ff0a4bdcb57cf6fcfed15728d82d9024b9651512eee0ce13914fc5739a9ae","observation_id":"0bc80fd4-2455-491c-a852-ae059cd45dff","resolution":{"observed_at":"2026-08-02T15:39:15.736694Z","resolver_source":"doi","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":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02216922","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Annals of Operations Research","work_id":"83e019e5-6211-4898-824e-9cdc23a9e0ff","year":1990},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.314759Z"},"links":{"citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:bea5c5ef45eeb8f296a1deae1a678252fa21b0be7f9450f82e18be5576b00948","observation_id":"9246ff79-891b-4fef-9be8-4f96fcbced05","resolution":{"observed_at":"2026-08-02T15:39:15.452905Z","resolver_source":"doi","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T15:38:01.319542Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.319542Z"},"links":{"citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:d448286653cfa1c090a6820c4f5f6c7e79aba5f382d96a6da70e81faba7aad45","observation_id":"bfeb1766-e0f7-4b96-9a66-51ea855cb49b","resolution":{"observed_at":"2026-08-02T15:38:01.319542Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.15809","last_updated":"2025-04-22T11:45:49Z","snapshot_observed_at":"2026-08-09T11:15:59.355407Z","submitted_at":"2025-04-22T11:45:49Z","title":"A Line Graph-Based Framework for Identifying Optimal Routing Paths in Decentralized Exchanges","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.15809","snapshot_observed_at":"2026-08-02T15:38:01.323439Z","title":"Zhang, Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.323439Z"},"links":{"cited_paper":"/paper/2504.15809","citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:986cb132a6d4c50a6f98d8f28857b0be56635c4d7178e5f6eb7e76b3a4e61eee","observation_id":"1ffcbfb0-8182-48e7-abe5-83d8478a6c1b","resolution":{"observed_at":"2026-08-02T15:38:01.323439Z","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":"2026-08-02T15:38:01.327557Z","title":"Zhang and C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.327557Z"},"links":{"citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:70fd52d95fb197d04efb4fdafe4e9235e67bef887dfc4891f6e4e3189aa36d9f","observation_id":"06d0066e-c8ec-4308-b3f6-5961b92d2da8","resolution":{"observed_at":"2026-08-02T15:38:01.327557Z","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":"2026-08-02T15:38:01.331289Z","title":"Xi and C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.331289Z"},"links":{"citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:4c8b9822db8964f9eb33b8a9b54d7bbd58c40074b504e142b654ca5691033bda","observation_id":"3b3dc8f0-3bf3-457d-9df5-81267f29f57f","resolution":{"observed_at":"2026-08-02T15:38:01.331289Z","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":"2026-08-02T15:38:01.335120Z","title":"Boyd and L","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T15:38:01.335120Z"},"links":{"citing_paper":"/paper/2607.22540"},"observation_digest":"sha256:8124ddd47c153708b1bfc5a1209a45d471efc1fa7e7ff8c357ddb08f3b9dd521","observation_id":"4e59aba8-0e9b-444c-8747-1d5ecdc2e195","resolution":{"observed_at":"2026-08-02T15:38:01.335120Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.22540","last_updated":"2026-04-25T23:02:09Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-02T15:38:00.220922Z","submitted_at":"2026-04-25T23:02:09Z","title":"Multi-Path Routing in Decentralized Exchange Networks: Convex Allocation and an Improving-Path Certificate"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":11},"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 9 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2607.22540."}