{"as_of":"2026-08-09T17:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9a040d53bbf0f609a10900f747c06e7c4ce2a7042aa592ce78a7fab90b3287fb","coverage":[{"denominator":52,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":52,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-11T08:00:14.766840Z","state":"measured"},{"denominator":52,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":52,"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/2607.05478/citation-record","integrity":"/paper/2607.05478/integrity","json":"/paper/2607.05478/citation-record.json","paper":"/paper/2607.05478"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T08:00:14.766840Z","title":"Horn-ice learning for synthesizing invariants and contracts,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:8e1744b6f55bdf4b31162247318cd22f0016c1700a6b1c5cd6683c58d871a517","observation_id":"e146cfa3-c58c-41ee-8482-e42e90a12f9b","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Learning invariants using decision trees and implication counterexamples,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:f0016398d4337466e65fc61d9ddd26961104e2b768318f21fa581e7b8242e230","observation_id":"fb792253-520f-4e06-b880-4882334cdfa0","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Interval counterexamples for loop invariant learning,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:bf4179984a87fab613382bf7c931c15cc61c68118b5b0b599f0608c582ee4271","observation_id":"b5dc284f-ff36-4f4c-83ee-e164d1265ef8","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Learning loop invariants for program verification,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:d051219b016d6ed4b55677cc42747b43e46d897836e5dcd1c2af975e41b1378a","observation_id":"5ff71ab8-ab96-412f-97e9-2bbb9d54e038","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Loop invariant inference through smt solving enhanced reinforcement learning,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:dfd74f30dcee7ec867bb1611b16da72799dabe2e946fad031218f0ea49499d37","observation_id":"7f207010-f65b-4d0f-9109-ead66579278c","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Cln2inv: Learning loop invariants with continuous logic networks,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:83742974311eac7c3c10d8d8f7b9ba9002469fb3ffd69a730be6bfc9b70732c1","observation_id":"8e9bce83-4ba0-4de7-89fa-4617d3653329","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Learning nonlinear loop invariants with gated continuous logic networks,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:0dbfc5d284544c06f26c03bfbca75eac7565404d8a66895d70bf22925d3bf42d","observation_id":"3307f67a-6e9b-4c29-a971-9e999c0e23c6","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.07948","last_updated":"2023-11-14T06:58:09Z","snapshot_observed_at":"2026-08-08T21:04:54.404700Z","submitted_at":"2023-11-14T06:58:09Z","title":"Finding Inductive Loop Invariants using Large Language Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.07948","snapshot_observed_at":"2026-07-11T08:00:14.766840Z","title":"Finding in- ductive loop invariants using large language models,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"cited_paper":"/paper/2311.07948","citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:114fe5dd416b40dc4c6e7616387840e6c84999657244c9c9d5ea9d3d7441b5bb","observation_id":"7c26dafc-df68-491a-bddd-901ae0ebf1c6","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Ranking LLM-generated loop invariants for program verification,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:3aaf66884ab3954c1c3ec9d256b1889183be7a3a115af8e28e3744c2d3372091","observation_id":"9fe7de47-327d-4fb7-841d-c48581409217","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Towards general loop invariant generation: a benchmark of programs with memory manipula- tion,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:5d4baa0e675548f3dbc4f113b5bfeb2c5062080dfb930aeaddb0956dd915cb23","observation_id":"f94d2097-60b9-4299-a16b-7b6bb374a11a","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Lemur: Integrating large language models in automated program verification,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:b5bb9c0e06eb966ae4ea55c19f56d1166e5df3d7806a085f3667c9ba18d9c4f1","observation_id":"be64c82e-23d4-4fa8-b9a5-9b54273d1d16","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Progress on software verification: Sv-comp 2022,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:814b66184bc6ac1f0513e31fe1a5f4ae621aa44dfbdf3a4d274449d2f4210646","observation_id":"0b830598-e3df-403e-8340-32e13a3ad86f","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Inductive invariant generation via abductive inference,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:5c1f963329f289da2eca01eb88c2098e57e7c50c6e4541e6089a96772b9db465","observation_id":"d8a1b566-8959-4b34-ba9f-7d4469380b76","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T08:00:14.766840Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:22aab8b1ec987c0ef931c366ea7346ffd40aad53f5659a6d53ba20dd2af93fc5","observation_id":"bf49d7ca-dae2-42ae-8e84-9bbab4433479","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Software model checking for people who love automata,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:6106c63537f5b5e9c8cc543a8c7fbafcf545bcfe2baad211e54b27d307f64481","observation_id":"d0497e7d-6b43-4a36-9b73-baeed9a2ffb3","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Llm meets bounded model checking: Neuro-symbolic loop invariant inference,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:de4c5ee009f9d7fef24c8a74452b114f5993fc62f56de27eb66e809acb20bcce","observation_id":"5805a089-6fe8-434d-9811-d18b2233f38a","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Enchanting program specification synthesis by large language models using static analysis and program verification,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:2279bb7ff677a86ba9a669f1bfa29a35d69d59190fcb67cdc69c4ef714870f35","observation_id":"002feea0-e92d-4552-87e0-85b8b1b8dd1c","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Z3: An efficient smt solver,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:cfa52ce9e6adee50ba6348ba269608887400e3ea04a5d7feadca2da0de2938fa","observation_id":"bcfc0945-b1c5-4655-9cde-4edac151b0ea","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:d2da60072aaeff15f56bf94be51ae6af426e737658d4995113ea9a37e87ae763","observation_id":"ad8520bb-c7b2-48a8-9663-36b442929adf","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Frama-c: A software analysis perspective,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:205cbe60349720efd7e63efb1bcb227fd865e4dfb99597a7325681bc5d1f0475","observation_id":"742a9a8e-9749-4577-9b39-e82ded4b7915","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Behavioral interface specification languages,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:921bb24f52ea8701963ca31814a71aca68701ccc3aa1becdc803c4f4276e5a5e","observation_id":"e98d18a8-1eef-4f37-bbaf-7e756293ff7b","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Enhancing automated loop invariant generation for complex programs with large language models,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:8d289702628082c688a35b9114f24c56c130491ac13389159d23008bb83d5559","observation_id":"baba2370-baa1-4869-9ecd-52e9aebd66af","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Qwen3.7: The agent frontier,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:30fe37467d3cb58130f225654322c0c150b3f82dcf76094fd01ebbda1a1dfcd4","observation_id":"d6e694ae-4e81-43dc-8e15-39c7d1ecee0f","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Deepseek-v4: Towards highly efficient million- token context intelligence,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:70ee0389d9f6617b0eae93df800927f7728c9b0fa23e89c7fa7deb826ab09975","observation_id":"824e3f12-5dce-44db-b678-35cafe41fb9f","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2601.03267","last_updated":"2026-05-01T23:55:43Z","snapshot_observed_at":"2026-08-02T10:52:10.211700Z","submitted_at":"2025-12-19T07:05:38Z","title":"OpenAI GPT-5 System Card","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2601.03267","snapshot_observed_at":"2026-07-11T08:00:14.766840Z","title":"Openai gpt-5 system card,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"cited_paper":"/paper/2601.03267","citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:f9ccc7a12400a35e3059c50663ec1928ca17bf5726a53799d7f798534005bf9c","observation_id":"3eb7ee8d-3b83-4f62-94de-277c5616cfb1","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Alt-ergo 2.2,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:7607f4f79651f8100a434c85c49d505c79bbb98afa47f311e0de08962017cdef","observation_id":"f74ce390-4c6b-4e35-81e1-d1e390d1d5d1","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"cvc5: A versatile and industrial-strength smt solver,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:8aca382b428c937189d9e5aada32352e5e2b18634cd308f053e340992d39a46a","observation_id":"0ee68fa1-d714-4a24-aaf3-8b20c5500e1b","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Ghosts for lists: a critical module of contiki verified in frama-c,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:eb522cb8eed27e4fa722e5f0ab08b12f829735f08de0dc404fada736f9b002b8","observation_id":"338423f2-97ac-4373-bf77-9b2458f3b860","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Logic against ghosts: Comparison of two proof approaches for a list module,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:f950a37e4ec317b394208d97db670d7214028d5141f33c6076be721edcd648aa","observation_id":"a739263a-eef9-4b04-933d-2d50f9bbb6f6","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"The daikon system for dynamic detection of likely invariants,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:f479571e67963050c0be137ca2275067cb261f2c2937d799ae0039be76ed403b","observation_id":"d5267755-f61e-4355-bb8a-aa2b9dd58975","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"A data driven approach for algebraic loop invariants,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:7ab701cdc89dd26393d7f25e784027058f44bf0fb478d19f32d800cd2e0ac9b9","observation_id":"92256299-5b55-4626-aebc-5036cce9f784","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Dig: A dynamic invariant generator for polynomial and array invariants,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:7c953138057f4182903099d82d023bd33a523effcb4610defb660b22c2203821","observation_id":"8e318541-9473-46cb-a0a6-e48a9fe28a44","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"10.1007/978-3-642-10672-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Bi-abductive resource invariant synthesis,","venue":null,"work_id":"816a22d4-20cd-44dd-b2b3-26150712d44d","year":2009},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:cd96ae2ccf13b893e41c522e1304e08e1d4ef913d3e6d646e07a372446c6da32","observation_id":"f6cc1734-8908-4455-825f-45048cf25615","resolution":{"observed_at":"2026-07-11T08:07:53.790825Z","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":"2026-07-11T20:19:01.901614+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T20:19:01.901614+00:00","source":"openalex_status_cache"},{"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":"2026-07-11T08:00:14.766840Z","title":"Linear invariant generation using non-linear constraint solving,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:56abf850e6143fdb6c5dd7721dd49eb9702e353fe230ccfb4ac2935bf5745d29","observation_id":"92e705d0-4819-4666-8a42-f54a6f862173","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"From tests to proofs,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:7a154192d9f076af60b270de52289dedae125522f267b21a03738c9616768d51","observation_id":"9959bf22-f815-4aa0-ba7f-55403df8de63","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Automatic discovery of linear restraints among variables of a program,","venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:3044907c18eebdd2daaeb795e679a854f9063ad58c420110fd34b73c247e8725","observation_id":"b5c611ba-bdb3-43ec-9d58-390c0f4bb99d","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Systematic design of program analysis frameworks,","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:05ffd40ff811c10bec54eb54ffa0ec9e67a4dc1e12ea53446b3247eea63893c0","observation_id":"324376d8-d478-437c-a62f-9a0715121f64","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Affine relationships among variables of a program,","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:5309dd5e41e71ba5e2f91882bef0f4e2e8e27428af1e035731036a567e1c543c","observation_id":"7918653a-9e8f-4c0a-bd67-37e2669bdc59","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"The eldarica horn solver,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:7c544486f69b78528c46c11d59f96845edbe963f248287099c317c512f0532fb","observation_id":"2daf0f3d-e980-42b4-b6eb-92826dd5aea5","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Global guidance for local generalization in model checking,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:2a59f2354f6618cce81f0f2633c00468db120689edb9a1a6fcd1e7c979ec1c26","observation_id":"9192f3a8-a469-4db2-ab9c-bc4c810db91c","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"10.1007/11691372","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A practical and complete approach to predicate refinement,","venue":"Lecture notes in computer science","work_id":"3a1f9e8d-ab7e-4768-a259-31c74694bbc1","year":2006},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:18cc2955064313a667dbddfd1581dcf3745d147bdd0109fa140bf4f65cad0a10","observation_id":"3d184b0c-b88f-4c02-8355-a37b43862290","resolution":{"observed_at":"2026-07-11T08:07:53.811038Z","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":"2026-07-11T20:19:02.619681+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T20:19:02.619681+00:00","source":"openalex_status_cache"},{"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":"2026-07-11T08:00:14.766840Z","title":"Lazy annotation for program testing and verification,","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:103be54843067fe49cb290f492b740b6b0236e92cbf9f445da2fc030d5d616bd","observation_id":"9a05b4ba-e225-445c-a98b-d0b9c1aa0cac","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-11T08:00:14.766840Z","title":"Barrett, C","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:91b1782321f0b59a7dee80de7d2c4e99618fc99e6e712bb7dbc46559338e4966","observation_id":"8a0311f1-4826-4180-b4cc-ed937374bcdb","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Data-driven precondition infer- ence with learned features,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:b8e1b068dbce721a96450cee2340f9374c49eed21cdd0962510032799dd849f7","observation_id":"337a6e99-3ed6-473c-a713-057cda751d1f","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Ice: A robust framework for learning invariants,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:32e1239c33c54b21404955c65b20456875ba97e4b8a5a062c6d4dd7252746162","observation_id":"18055bea-2c6e-4b17-b986-0e3a413457d3","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Multi-phase invariant synthesis,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:91eb85d0b1e9dcbefba957ec31a742b20d9f2bd95a3fe409ed6e35898465b32c","observation_id":"92fa2fe2-a369-47ad-84b4-d11050b00f5e","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Interpolants as classifiers,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:ccc0b1ec37cd233534c9b6ae5e73ecf67cb330a30f86badd5ad43e044b3cbcaf","observation_id":"0be62e45-26d2-4ef0-be09-119d5a47ba39","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Automatic loop- invariant generation anc refinement through selective sampling,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:49005607e7d6f0e3c0f7397b1a7e97d418f263edf3cd442fa7ea3a51909e430a","observation_id":"f8f68edd-2c42-4075-b181-1de65c122a69","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Verification as learning geometric concepts,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:79544076efd393af18224c8ae31db09dd3fc46169606d297109f6675afc7b567","observation_id":"f22164d6-d6fb-4a97-8ffb-2a125bd29eb4","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Springer, 2013, pp","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:207ca5c70fd83f23c72bb6f3ff3292d466dbf700d8094ee768d7a1b3fe6f9107","observation_id":"bcfce5b9-b8b0-4eff-8e31-d72f34c1ca39","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Clause2inv: A generate-combine-check framework for loop invariant inference,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:327d63cb15668429efdd7b74e4867a77842139a683f0b0da686639f2f05f8971","observation_id":"ce37d0df-c1b2-4152-a009-2d3960b1f765","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","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":"2026-07-11T08:00:14.766840Z","title":"Integrating symbolic execution with llms for automated generation of program specifications,","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-07-11T08:00:14.766840Z"},"links":{"citing_paper":"/paper/2607.05478"},"observation_digest":"sha256:d0c999c3c3da3c38519ffb3768aed63fed9126963fbfa0cd29fb237d2db78997","observation_id":"71e98036-5c4f-4090-9e09-c29f6b35791b","resolution":{"observed_at":"2026-07-11T08:00:14.766840Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.05478","last_updated":"2026-07-06T14:36:36Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-11T08:00:14.444843Z","submitted_at":"2026-07-06T14:36:36Z","title":"InvWeaver: Deductive Feedback for Invariant Synthesis in Interacting-Loop Programs"},"reference_resolution":{"displayed":52,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":48,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":52},"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 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2607.05478."}