Paper Citation Record · LEDGER

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data

As of 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.04527.

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

pith.paper-citation-record.v1
2607.04527 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T06:58:33.534576Z

measured 17 of 17 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

17 of 17 outbound references displayed

verified exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 463506d0-272d-4386-80dd-869f82eb1ca5 · outbound

This paper cites an unresolved cited work.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05b2c0c0-eb9b-4167-ac18-64d169f663fe · outbound

This paper cites an unresolved cited work.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d110cee-e692-4899-bf69-e8adba4cebb9 · outbound

This paper cites CausalBench: A Large-scale Benchmark for Network Inference from Single-cell Perturbation Data.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data CausalBench: A Large-scale Benchmark for Network Inference from Single-cell Perturbation Data

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 655e065d-b4fb-45a3-b07b-b4cd386c806c · outbound

This paper cites A Logical Characterization of Constraint-Based Causal Discovery.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data A Logical Characterization of Constraint-Based Causal Discovery

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e35dc001-063a-42ae-9f3b-a51554352e5b · outbound

This paper cites Gene Regulatory Network Inference in the Presence of Dropouts: a Causal View.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Gene Regulatory Network Inference in the Presence of Dropouts: a Causal View

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 443d1fcc-cb13-45b0-90ef-39bbf2126d06 · outbound

This paper cites an unresolved cited work.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0635196-d125-4674-bd00-c9f3208838aa · outbound

This paper cites an unresolved cited work.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3882e2a7-48c6-4c48-861f-78766d818580 · outbound

This paper cites an unresolved cited work.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 018d1bcc-bac5-42f1-bdf2-a380ea5dc153 · outbound

This paper cites an unresolved cited work.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Unresolved cited work

Reference 9

Resolution: malformed identifier; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8eb633d-93f4-4e2f-a8f8-edfbda4471d6 · outbound

This paper cites an unresolved cited work.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Unresolved cited work

Reference 10

Resolution: malformed identifier; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da142c83-1dbe-41a9-9e92-2ddd02b4a8da · outbound

This paper cites Xis a non-descendant ofY.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Xis a non-descendant ofY

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 143b1b9c-1cc2-4cc1-bee7-6ff797952e0c · outbound

This paper cites Each iteration performs four steps.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Each iteration performs four steps

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1dbd511-5a37-41a6-b789-0e905874d475 · outbound

This paper cites Remark 1 (Why the both-sides condition is required)The naive unionPa(X i;T i)∪Pa(X j;T j)is unsafe: a mediator MonX i →M→X j is a non-descendant ofX j yet a descendant ofX i.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Remark 1 (Why the both-sides condition is required)The naive unionPa(X i;T i)∪Pa(X j;T j)is unsafe: a mediator MonX i →M→X j is a non-descendant ofX j yet a descendant ofX i

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bad8ab92-59bb-4577-ba47-72c90952c302 · outbound

This paper cites (R2)Activation.If∃W:W̸ ⊥ ⊥X i |S \W ∪[X j], thenX i ⪯X j.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data (R2)Activation.If∃W:W̸ ⊥ ⊥X i |S \W ∪[X j], thenX i ⪯X j

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cbdefee-2fc3-4da3-8ee5-f27917a34768 · outbound

This paper cites [2016], entailing Xi ∈An(X j), i.e.X i ≺X j.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data [2016], entailing Xi ∈An(X j), i.e.X i ≺X j

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad76b387-f8ef-4176-98ed-66a61647a60f · outbound

This paper cites These are exactly the (de)activation and separation queries of R1–R3, conditioned on the common known non-descendants.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data These are exactly the (de)activation and separation queries of R1–R3, conditioned on the common known non-descendants

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd551450-f47c-4341-95bf-cd19d7e24283 · outbound

This paper cites Convergence is reached only when no further rule can fire.□ Theorem 4(Lazy-oracle completeness)ascend-oracleis lazy-oracle complete: no lazy oracle algorithm dominates it.

Causal ASCEND: Scalable Two-tier Causal Discovery on High Dimensional Multi-omics Data Convergence is reached only when no further rule can fire.□ Theorem 4(Lazy-oracle completeness)ascend-oracleis lazy-oracle complete: no lazy oracle algorithm dominates it

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-13T06:58:33.534576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.