Paper Citation Record · LEDGER

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models

As of 20 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2501.04286.

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

pith.paper-citation-record.v1
2501.04286 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:39:38.324195Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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 fuzzy9
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0de319b2-f0c5-4213-9eef-8af26bb01d74 · outbound

This paper cites The boundary of neural network trainability is fractal.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models The boundary of neural network trainability is fractal

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T21:39:38.259249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c4db621-eeb7-41f6-a16d-5cfb9a90c62c · outbound

This paper cites Fractals everywhere.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Fractals everywhere

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:39:38.566619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2d232722-613e-4d26-b8c1-53dafd1c8ae5 · outbound

This paper cites Fractal geometry: mathematical foundations and applications.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Fractal geometry: mathematical foundations and applications

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:39:38.550020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c68fed81-5235-4a88-b7cd-bb62832cfc7e · outbound

This paper cites an unresolved cited work.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:39:38.534924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6d4f88f8-acc3-4fe2-8d9f-819e8b2e4af3 · outbound

This paper cites Chaos and fractals: new frontiers of science, volume 106.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Chaos and fractals: new frontiers of science, volume 106

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:39:38.520444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d2a6f768-8f3e-42ee-8d97-10e17313a55f · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Adam: A Method for Stochastic Optimization

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T21:39:38.283162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64c1b5bd-8a77-4b45-8d14-587680064038 · outbound

This paper cites an unresolved cited work.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:39:38.503012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a3abfa19-0714-43b8-a095-544556dd51f9 · outbound

This paper cites Gomez, Lukasz Kaiser, and Illia Polosukhin.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Gomez, Lukasz Kaiser, and Illia Polosukhin

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:39:38.488253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 43924027-19c4-4c81-9c38-e8036f8935ea · outbound

This paper cites Improving language understanding by gen- erative pre-training.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Improving language understanding by gen- erative pre-training

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:39:38.469672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b0bb0346-03c8-4fb8-963e-79e244d150de · outbound

This paper cites Language models are unsupervised multitask learners.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Language models are unsupervised multitask learners

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:39:38.455868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8acde8bc-9190-46d1-bafd-876b03685a53 · outbound

This paper cites Brown, Benjamin Mann, Nick Ryder, Melanie Subbiah, Jared D.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Brown, Benjamin Mann, Nick Ryder, Melanie Subbiah, Jared D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:39:38.442168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 877da02f-80c1-48bc-adcc-29077dd86267 · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T21:39:38.310080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1af2cb79-2777-482c-b2d2-b1fe22e41d6e · outbound

This paper cites Speech-transformer: a no-recurrence sequence-to-sequence model for speech recognition.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Speech-transformer: a no-recurrence sequence-to-sequence model for speech recognition

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:39:38.428592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 63a69c62-7267-4e37-b04c-f0129c9372f4 · outbound

This paper cites Large Batch Optimization for Deep Learning: Training BERT in 76 minutes.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models Large Batch Optimization for Deep Learning: Training BERT in 76 minutes

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T21:39:38.319433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 26808fe6-00f7-44fb-b4f3-cb5a6b312d29 · outbound

This paper cites The Complete Works of William Shakespeare.

Mapping the Edge of Chaos: Fractal-Like Boundaries in The Trainability of Decoder-Only Transformer Models The Complete Works of William Shakespeare

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:39:38.412185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.