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Paper Citation Record · LEDGER

Signal Propagation in Transformers: Theoretical Perspectives and the Role of Rank Collapse

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2206.03126.

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

pith.paper-citation-record.v1
2206.03126 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T03:20:09.365073Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T06:19:38.235272Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 c91a2d91-bd16-4ae9-9960-6dafd747928a · inbound

Two failure modes of deep transformers and how to avoid them: a unified theory of signal propagation at initialisation cites this paper.

Two failure modes of deep transformers and how to avoid them: a unified theory of signal propagation at initialisation Signal Propagation in Transformers: Theoretical Perspectives and the Role of Rank Collapse

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-22T02:44:32.202333Z

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=2026-05-22T02:42:34.938163Z digest=sha256:37f9383b0f1826a2e9014d3e9d0278282fe99c9c574f264b6e2f593ecdd4bcfc

Observation d517538f-7878-4c36-9750-bc6798e68494 · inbound

Sinkhorn doubly stochastic attention rank decay analysis cites this paper.

Sinkhorn doubly stochastic attention rank decay analysis Signal Propagation in Transformers: Theoretical Perspectives and the Role of Rank Collapse

Reference 9

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T08:05:59.254347Z

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=2026-05-10T16:50:34.147219Z digest=sha256:4b356a386773ec2030dd5818b5aa1a23c77d37a997af199a8cb5b8aac19652c9

Observation 6b48dbe2-c635-49b6-8d24-a4c31240d2fd · inbound

A Unified Framework for Critical Scaling of Inverse Temperature in Self-Attention cites this paper.

A Unified Framework for Critical Scaling of Inverse Temperature in Self-Attention Signal Propagation in Transformers: Theoretical Perspectives and the Role of Rank Collapse

Reference 22

Resolution
metadata mismatch
arxiv_id, observed 2026-05-14T19:57:53.509356Z

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=arxiv_source observed=2026-05-14T19:56:02.462786Z digest=sha256:d9aa41c33563ab043598dcd014ba0614e6d123e19ab041da4973f74c40fc49d1

Observation a9389cf3-69c6-4a63-9c2b-5ba2403829ad · inbound

Dead Directions: Geometric Singular Learning cites this paper.

Dead Directions: Geometric Singular Learning Signal Propagation in Transformers: Theoretical Perspectives and the Role of Rank Collapse

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-07-02T11:36:55.176279Z

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=arxiv_source observed=2026-06-28T03:20:09.365073Z digest=sha256:e5bb335fde2ccb17666f17596860db82aee59be6a238e07087fee3dac778af72

Observation 8a710249-ee26-434c-a13a-88bc7f36329b · inbound

Algebraic Dead Directions in LayerNorm Transformers: A Forward-Pass-Only Diagnostic at LLM Scale cites this paper.

Algebraic Dead Directions in LayerNorm Transformers: A Forward-Pass-Only Diagnostic at LLM Scale Signal Propagation in Transformers: Theoretical Perspectives and the Role of Rank Collapse

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-07-04T00:29:15.230261Z

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=arxiv_source observed=2026-06-26T21:14:11.815522Z digest=sha256:10c5333c8b9064a30f64e328544b42e5d09d39c0f56756103468751d7939fd1a

Observation 54a53329-e87e-45f7-8cf8-5c2599b89fd3 · inbound

Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity cites this paper.

Dead-Direction Signatures: A Cheap Spectral Reading of Singular Complexity Signal Propagation in Transformers: Theoretical Perspectives and the Role of Rank Collapse

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-07-04T06:19:38.237243Z

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=arxiv_source observed=2026-06-26T14:36:17.793710Z digest=sha256:4c54d372f88cd2b74cb74a7d98a050260246d7cc177ee9efec83a0aaa524bce2