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Paper Citation Record · LEDGER

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2608.04434.

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

pith.paper-citation-record.v1
2608.04434 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:13:48.159052Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation af5d46b9-43c4-4826-ac27-9b88f65f162a · outbound

This paper cites https://www.eremex.com/products/ topor/.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing https://www.eremex.com/products/ topor/

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:51.009956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:47.053627Z digest=sha256:90ea63b5d89549e1c444540c0363863f79b8c6dfa7348f0fea09f313cc95b2e9

Observation e4a1e3c0-fa2a-410f-81b0-2d89859c9f3c · outbound

This paper cites https://github.com/freerouting/freerouting.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing https://github.com/freerouting/freerouting

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:50.476261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:47.281629Z digest=sha256:f43fe30f937ca5a149c91e3c3c80a6a510b51fce0930d6c5827ddc4604db4c0b

Observation 39c4c244-cbbf-4300-b153-cd433ff69bb5 · outbound

This paper cites OmniSch: A Multimodal PCB Schematic Benchmark For Structured Diagram Visual Reasoning.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing OmniSch: A Multimodal PCB Schematic Benchmark For Structured Diagram Visual Reasoning

Reference 9

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T00:13:48.511127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:47.497980Z digest=sha256:06bf18160cf067accd685ff386f5429b1761efb466202d6d57b9ddbcdc7dbc0b

Observation 8f4ef253-b045-40f1-9232-5a31a5deeda7 · outbound

This paper cites Mantik,S.;Posser,G.;Chow,W.-K.;Ding,Y.;andLiu,W.-H.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing Mantik,S.;Posser,G.;Chow,W.-K.;Ding,Y.;andLiu,W.-H

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T00:13:47.631533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:13:47.631533Z digest=sha256:099947ae5d54421d9e6922b0e468958b57637f8f3dd9511c0a497294b0279dd9

Observation 818318eb-554d-491e-b4d1-48002d86fc40 · outbound

This paper cites https://www.quilter.ai/product.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing https://www.quilter.ai/product

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:49.598791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:47.916664Z digest=sha256:8929dab5e5ea282ea84ba896854e429f3fc5536da7dbda7baef0473914f0f8c4

Observation 03c7184e-6154-48b3-8580-6355d24b86b7 · outbound

This paper cites InInternational Conference on Learning Representations, volume 2025, 48118–48145.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing InInternational Conference on Learning Representations, volume 2025, 48118–48145

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:49.351628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:48.010801Z digest=sha256:d51ebb37af1f90140704e3d1190bf037cc58909f417228579099269cd69a3f5d

Observation ae68243f-7e67-412f-96db-b755d40c7e1d · outbound

This paper cites https://github.com/The-OpenROAD-Project- Attic/PcbRouter.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing https://github.com/The-OpenROAD-Project- Attic/PcbRouter

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:49.110629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:48.159052Z digest=sha256:91c071a4bab57163066d45f56f49406e76a75b1876ddfc47c1dd217bcf38a8c5

Observation 568db419-463c-4bee-9bad-072aebb9f3e4 · outbound

This paper cites In Proceedings of the 1998 international symposium on Physi- cal design, 80–85.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing In Proceedings of the 1998 international symposium on Physi- cal design, 80–85

Reference 1998

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:51.494150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:46.683288Z digest=sha256:ed534068f04497f23e705925f8b99e341e09642ff40a9a49d04d0b29658c80be

Observation faba3d2c-9e89-4f72-90e3-c40e0d39f060 · outbound

This paper cites InProceedings of the 2008 inter- national symposium on Physical design, 156–159.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing InProceedings of the 2008 inter- national symposium on Physical design, 156–159

Reference 2008

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:49.906021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:47.849325Z digest=sha256:31a5488723d918d52d50232471ca0147b922c7d07a7e0fd449d2a37863dd91d8

Observation 1bcda09e-c5fd-490d-a736-ad4f266da019 · outbound

This paper cites InProceedingsofthe2018InternationalSymposium on Physical Design, 140–143.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing InProceedingsofthe2018InternationalSymposium on Physical Design, 140–143

Reference 2018

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:50.209621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:47.779097Z digest=sha256:c240003540d7d09dac677fc8319b0b40121643cfeaf2dc04614c3b45dbc29ed4

Observation c6fa741d-e3ba-4218-8bfe-0697ca57ffed · outbound

This paper cites Circuit Routing Using Monte Carlo Tree Search and Deep Neural Networks.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing Circuit Routing Using Monte Carlo Tree Search and Deep Neural Networks

Reference 2020

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T00:13:48.801117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:47.395212Z digest=sha256:70054c36fd0cb1f2cf58bbf34edcb6bc2aaebb6ae534eff00848ec8c4dbfc6f2

Observation 04c334d9-537f-4d33-8cfc-e43e73c0d97b · outbound

This paper cites Can Large Language Models be Good Path Planners? A Benchmark and Investigation on Spatial-temporal Reasoning.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing Can Large Language Models be Good Path Planners? A Benchmark and Investigation on Spatial-temporal Reasoning

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-07T00:13:46.594060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:13:46.594060Z digest=sha256:0b8dd8a0a5cd4a7cc62679bde25b47963f554f6d6bee5878203e3d4cd111a7ad

Observation 5aada6ba-bf3b-4115-8ab0-94610e6380c8 · outbound

This paper cites InIn- ternational conference on learning representations, volume 2024, 43909–43934.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing InIn- ternational conference on learning representations, volume 2024, 43909–43934

Reference 2024

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:50.769289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:47.151088Z digest=sha256:2fae685c005b213d3480af5c9bed54a12ef82f127a397a62ce86ca8c65b18cdb

Observation 0d5ce832-74da-4d2b-bb77-8cdbbc2ec0e1 · outbound

This paper cites AlphaMaze: Enhancing Large Language Models' Spatial Intelligence via GRPO.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing AlphaMaze: Enhancing Large Language Models' Spatial Intelligence via GRPO

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-07T00:13:46.940860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:13:46.940860Z digest=sha256:d8439e0d768655baeb6f202808d42648936a5a4fbe7daaa51ea3e10659598db7

Observation 49b5a6a6-7e54-4fa1-a265-2cc5ee143b72 · outbound

This paper cites https://www.cadence.com/en_US/home/tools/ pcb-design-and-analysis/allegro-x-design-platform.html.

OmniRouting: A Semantic-Coupled Multimodal Benchmark for Constraint-Aware Spatial Reasoning in PCB Routing https://www.cadence.com/en_US/home/tools/ pcb-design-and-analysis/allegro-x-design-platform.html

Reference 2026

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:13:51.261169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T00:13:46.808086Z digest=sha256:9a85f753109d83de7f71d8dbb2904acc567e1ac244adc08c6c4af9da6845b886

Pith citing papers

No inbound Pith citation observations are available.