{"as_of":"2026-08-16T17:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3aac78c953c8202adf5d34710ffa10c2b94286306e245cbe7bc18a3d9d04c401","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T04:48:45.051783Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":43,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.00498","snapshot_observed_at":"2026-08-12T15:31:53.290850Z","title":"arXiv:2109.00498","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.14163","last_updated":"2024-11-21T14:22:32Z","snapshot_observed_at":"2026-08-14T13:41:08.577781Z","submitted_at":"2024-11-21T14:22:32Z","title":"Creating a Formally Verified Neural Network for Autonomous Navigation: An Experience Report","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T15:31:53.290850Z"},"links":{"cited_paper":"/paper/2109.00498","citing_paper":"/paper/2411.14163"},"observation_digest":"sha256:0b6db49ff63b6b9317d5795ca3039c3097e0973b7f2366ef0ed8c7c522e2d5af","observation_id":"463a7f78-3a61-4fbf-a498-043a79e847ff","resolution":{"observed_at":"2026-08-12T15:31:53.290850Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.00498","snapshot_observed_at":"2026-08-11T16:57:33.951726Z","title":"The second international verification of neural networks competition (vnn-comp 2021): Summary and results","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.09584","last_updated":"2025-03-16T06:49:12Z","snapshot_observed_at":"2026-08-13T09:53:44.078504Z","submitted_at":"2024-12-12T18:55:14Z","title":"BaB-ND: Long-Horizon Motion Planning with Branch-and-Bound and Neural Dynamics","version":3},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T16:57:33.951726Z"},"links":{"cited_paper":"/paper/2109.00498","citing_paper":"/paper/2412.09584"},"observation_digest":"sha256:7eb6ee9bca7105fc05034e650072eddf525271748821f82cfc95f1aee9ea54a5","observation_id":"2159f7be-f093-4224-bcfb-200a6f1e5c59","resolution":{"observed_at":"2026-08-11T16:57:33.951726Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.00498","snapshot_observed_at":"2026-08-11T13:45:34.404785Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.13229","last_updated":"2024-12-29T13:48:34Z","snapshot_observed_at":"2026-08-14T01:21:15.200347Z","submitted_at":"2024-12-17T11:40:49Z","title":"Training Verification-Friendly Neural Networks via Neuron Behavior Consistency","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T13:45:34.404785Z"},"links":{"cited_paper":"/paper/2109.00498","citing_paper":"/paper/2412.13229"},"observation_digest":"sha256:aafda97a43cb19fd596cffb1fcb31811984ec3c96f495dd3cd3dcdb52d75eb4f","observation_id":"6bd00db3-fa74-47fc-a6d2-d4fdb01ad322","resolution":{"observed_at":"2026-08-11T13:45:34.404785Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.00498","snapshot_observed_at":"2026-08-10T21:09:21.893724Z","title":"http://arxiv.org/abs/2109.00498","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.05867","last_updated":"2025-01-30T14:12:35Z","snapshot_observed_at":"2026-08-11T03:59:02.134682Z","submitted_at":"2025-01-10T11:08:40Z","title":"Neural Network Verification is a Programming Language Challenge","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T21:09:21.893724Z"},"links":{"cited_paper":"/paper/2109.00498","citing_paper":"/paper/2501.05867"},"observation_digest":"sha256:161eeaf758ab2d33f7f1b18a9847517b271eba9ed1e1c72b74faf9f25f8cf063","observation_id":"9b2d08f1-d87d-40b2-9950-99a8515eb46a","resolution":{"observed_at":"2026-08-10T21:09:21.893724Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.00498","snapshot_observed_at":"2026-08-16T04:48:45.051783Z","title":"https://doi.org/10.48550/arXiv.2109.00498","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.00466","last_updated":"2025-06-24T01:27:12Z","snapshot_observed_at":"2026-08-16T04:39:11.785049Z","submitted_at":"2025-05-01T11:33:38Z","title":"A General Framework for Property-Driven Machine Learning","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T04:48:45.051783Z"},"links":{"cited_paper":"/paper/2109.00498","citing_paper":"/paper/2505.00466"},"observation_digest":"sha256:d89bf93b686140bbda79f0c9748651f1c4e8d458c8706ec72530a1cfc67df753","observation_id":"66bdc893-1070-4a38-99f1-03734ebffe34","resolution":{"observed_at":"2026-08-16T04:48:45.051783Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results","version":1},"cited_work":{"arxiv_id":"2109.00498","doi":"10.48550/arxiv.2109.00498","metadata_source":"arxiv_reference","pith_arxiv_id":"2109.00498","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The sec- ond international verification of neural networks competition (VNN-COMP 2021): Summary and results","venue":"arXiv (Cornell University)","work_id":"ec26f06b-4785-4204-ab04-b7a861696f8b","year":2021},"citing_paper":{"arxiv_id":"2605.13845","last_updated":"2026-05-14T17:00:29Z","snapshot_observed_at":"2026-07-06T23:25:21.032938Z","submitted_at":"2026-05-13T17:59:40Z","title":"Quantitative Linear Logic for Neuro-Symbolic Learning and Verification","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-14T17:29:39.346689Z"},"links":{"cited_paper":"/paper/2109.00498","citing_paper":"/paper/2605.13845"},"observation_digest":"sha256:487c7ef9b7e02c84bce62adf044b3903991df86fa829c70f25f12acc9d7f10bd","observation_id":"429d0473-896f-4563-befc-932ef5d1a68b","resolution":{"observed_at":"2026-05-14T17:32:30.556868Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results","version":1},"cited_work":{"arxiv_id":"2109.00498","doi":"10.48550/arxiv.2109.00498","metadata_source":"arxiv_reference","pith_arxiv_id":"2109.00498","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The sec- ond international verification of neural networks competition (VNN-COMP 2021): Summary and results","venue":"arXiv (Cornell University)","work_id":"ec26f06b-4785-4204-ab04-b7a861696f8b","year":2021},"citing_paper":{"arxiv_id":"2605.13845","last_updated":"2026-05-14T17:00:29Z","snapshot_observed_at":"2026-07-06T23:25:21.032938Z","submitted_at":"2026-05-13T17:59:40Z","title":"Quantitative Linear Logic for Neuro-Symbolic Learning and Verification","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-05-15T05:40:16.030363Z"},"links":{"cited_paper":"/paper/2109.00498","citing_paper":"/paper/2605.13845"},"observation_digest":"sha256:38df637a6ba8cdf8b55fdcbd7f67cfddf98e9e0469d3d46ed90d5af21270a3de","observation_id":"a846f578-5d98-4e8b-8d22-d2c735aee76d","resolution":{"observed_at":"2026-05-15T05:45:05.383636Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results","version":1},"cited_work":{"arxiv_id":"2109.00498","doi":"10.48550/arxiv.2109.00498","metadata_source":"arxiv_reference","pith_arxiv_id":"2109.00498","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The sec- ond international verification of neural networks competition (VNN-COMP 2021): Summary and results","venue":"arXiv (Cornell University)","work_id":"ec26f06b-4785-4204-ab04-b7a861696f8b","year":2021},"citing_paper":{"arxiv_id":"2605.17153","last_updated":"2026-05-16T20:56:52Z","snapshot_observed_at":"2026-08-15T00:30:20.657815Z","submitted_at":"2026-05-16T20:56:52Z","title":"Stress-Testing Neural Network Verifiers with Provably Robust Instances","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-20T14:48:54.688641Z"},"links":{"cited_paper":"/paper/2109.00498","citing_paper":"/paper/2605.17153"},"observation_digest":"sha256:a3fa0d0909a49dfb2016deed7e6721b62eeaa1206d8e799f12f90a3549c6cf85","observation_id":"3c2366cd-cf4f-4413-a144-0eeb53f7c1c3","resolution":{"observed_at":"2026-05-20T14:53:23.466237Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results","version":1},"cited_work":{"arxiv_id":"2109.00498","doi":"10.48550/arxiv.2109.00498","metadata_source":"arxiv_reference","pith_arxiv_id":"2109.00498","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The sec- ond international verification of neural networks competition (VNN-COMP 2021): Summary and results","venue":"arXiv (Cornell University)","work_id":"ec26f06b-4785-4204-ab04-b7a861696f8b","year":2021},"citing_paper":{"arxiv_id":"2605.23203","last_updated":"2026-05-22T03:37:34Z","snapshot_observed_at":"2026-08-15T00:31:02.461636Z","submitted_at":"2026-05-22T03:37:34Z","title":"Lipschitz Optimization for Formal Verification of Homographies","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-25T04:57:25.453030Z"},"links":{"cited_paper":"/paper/2109.00498","citing_paper":"/paper/2605.23203"},"observation_digest":"sha256:1b4e6e2e9d50db730fe46937859976b111c41710ca57474079e87d536a31a5d6","observation_id":"89e44501-e8e5-4b5e-ac42-4f37a8cc16eb","resolution":{"observed_at":"2026-05-25T05:00:22.278321Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results","version":1},"cited_work":{"arxiv_id":"2109.00498","doi":"10.48550/arxiv.2109.00498","metadata_source":"arxiv_reference","pith_arxiv_id":"2109.00498","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"The sec- ond international verification of neural networks competition (VNN-COMP 2021): Summary and results","venue":"arXiv (Cornell University)","work_id":"ec26f06b-4785-4204-ab04-b7a861696f8b","year":2021},"citing_paper":{"arxiv_id":"2606.20292","last_updated":"2026-06-18T14:32:05Z","snapshot_observed_at":"2026-07-06T23:55:29.991442Z","submitted_at":"2026-06-18T14:32:05Z","title":"Shifting-based Optimizable Linear Relaxations for General Activation Functions","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-26T17:53:19.172873Z"},"links":{"cited_paper":"/paper/2109.00498","citing_paper":"/paper/2606.20292"},"observation_digest":"sha256:e929a54d8d4664c66d2f9a8a55adf6dda21a307cb3e00b578f4d29a8d2adc4ec","observation_id":"054fc462-d998-49a2-863a-5e4ce3179614","resolution":{"observed_at":"2026-07-04T03:39:29.725321Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2109.00498/citation-record","integrity":"/paper/2109.00498/integrity","json":"/paper/2109.00498/citation-record.json","paper":"/paper/2109.00498"},"outbound":[],"paper":{"arxiv_id":"2109.00498","last_updated":"2021-08-31T01:29:56Z","latest_version":1,"primary_category":"cs.LO","snapshot_observed_at":"2026-08-14T20:06:42.494794Z","submitted_at":"2021-08-31T01:29:56Z","title":"The Second International Verification of Neural Networks Competition (VNN-COMP 2021): Summary and Results"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2109.00498."}