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Paper Citation Record · LEDGER

Improved Branch and Bound for Neural Network Verification via Lagrangian Decomposition

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2104.06718.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2104.06718 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:54:44.156711Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-03T10:07:55.786931Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 024baced-ad56-48f9-aaf9-e4d28adf75fe · inbound

Efficient Neural Network Verification via Order Leading Exploration of Branch-and-Bound Trees cites this paper.

Efficient Neural Network Verification via Order Leading Exploration of Branch-and-Bound Trees Improved Branch and Bound for Neural Network Verification via Lagrangian Decomposition

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T14:54:44.156711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c919df03-248c-48e4-accb-55d306fe93ee · inbound

Solution-aware vs global ReLU selection: partial MILP strikes back for DNN verification cites this paper.

Solution-aware vs global ReLU selection: partial MILP strikes back for DNN verification Improved Branch and Bound for Neural Network Verification via Lagrangian Decomposition

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T11:04:59.538322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:04:59.538322Z digest=sha256:459cb5d81bdeca438d4114ed4145928c3850ceb4d369f3594049b591a1e3f0ef

Observation d504316d-5301-4c71-8023-7be006c713b6 · inbound

Faster Verified Explanations for Neural Networks cites this paper.

Faster Verified Explanations for Neural Networks Improved Branch and Bound for Neural Network Verification via Lagrangian Decomposition

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-17T03:31:28.444342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-17T03:31:10.191431Z digest=sha256:7cc8f1e0340dd9fbc1888abc58dc881f5ff3ed79729161b7f14585b3f7d60e42

Observation b7cfa4bf-4616-4454-93c9-0f2c2f34b5db · inbound

IoUCert: Robustness Verification for Anchor-based Object Detectors cites this paper.

IoUCert: Robustness Verification for Anchor-based Object Detectors Improved Branch and Bound for Neural Network Verification via Lagrangian Decomposition

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-02T19:17:08.510534Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:17:08.510534Z digest=sha256:475f085a372465638d74d40b4fdae32fa00cac1b0077f6b395e922273b49f8a6

Observation 4ff28550-66a6-4a22-b8cf-eb5e525b07df · inbound

Robustness Verification of Recurrent Neural Networks with Abstraction Refinement cites this paper.

Robustness Verification of Recurrent Neural Networks with Abstraction Refinement Improved Branch and Bound for Neural Network Verification via Lagrangian Decomposition

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-07-03T10:07:55.788358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-27T10:16:46.361017Z digest=sha256:313cba230db53f3c332210ba2f842badd6013240bd9ecaa9dcd2795bb8edb083

Observation 258d3cb9-e43d-42ad-a4c8-7e870b446953 · inbound

Certified Training for Convolutional Perturbations cites this paper.

Certified Training for Convolutional Perturbations Improved Branch and Bound for Neural Network Verification via Lagrangian Decomposition

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T15:48:08.923988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T15:48:08.923988Z digest=sha256:37cbfc3d7b09c8b798ec12ae1105878f92298284651bf787178046be1d29d995

Observation 48e319a8-17b7-4dfb-89ed-5746860dac22 · inbound

Mining Verdict Boundaries for Neural Network Verification cites this paper.

Mining Verdict Boundaries for Neural Network Verification Improved Branch and Bound for Neural Network Verification via Lagrangian Decomposition

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T16:43:38.046439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T16:43:38.046439Z digest=sha256:68ac19e35936f0f163047ba55b5a6278ce22f32f30800a2ec92b00934e0b20a9