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Paper Citation Record · LEDGER

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph

As of 11 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 2 inbound Pith citation observations for arXiv:2501.00659.

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

pith.paper-citation-record.v1
2501.00659 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:50:05.278515Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:39:37.046687Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T05:31:33.745848Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2bea267e-d7ea-4f8f-8705-dfe71d7b8186 · outbound

This paper cites an unresolved cited work.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:05.680082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:50:05.191186Z digest=sha256:feae30e443bd662ed326fa9bc014c15363d570cae02b9e55665c5c41a47a7ca4

Observation d27d3347-fe19-4bcb-b3a1-d068c56deea3 · outbound

This paper cites Challenges and Applications of Large Language Models.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Challenges and Applications of Large Language Models

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T22:50:05.210444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:50:05.210444Z digest=sha256:48df9c28afda42bfed56ee2a56f4fced025bed48fe03277fb08db3201871709d

Observation aff8dc25-179d-4ced-9a39-a5b24f77633f · outbound

This paper cites Code Llama: Open Foundation Models for Code.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Code Llama: Open Foundation Models for Code

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-10T22:50:05.230804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:50:05.230804Z digest=sha256:a7070189fa225ce4db8800d1259bdfa6180da2bf8d128ea248265cbffedc157a

Observation ff0320e0-05da-4067-abec-22a369e1e467 · outbound

This paper cites an unresolved cited work.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:05.593594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:50:05.241213Z digest=sha256:132bc016443774b56908129c03589d930731b0fa04d614c1eddff9e6be056428

Observation d2003ca6-8712-4d41-a479-8328ccc334e8 · outbound

This paper cites Branch-Train-MiX: Mixing Expert LLMs into a Mixture-of-Experts LLM.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Branch-Train-MiX: Mixing Expert LLMs into a Mixture-of-Experts LLM

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T22:50:05.249773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:50:05.249773Z digest=sha256:a9002e619054113549b3d2f405c7bde8c70287e2b03b37c957dba762ad4aef31

Observation 462f4811-8434-464b-b9ee-47bc85f8cc4a · outbound

This paper cites an unresolved cited work.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Unresolved cited work

Reference 2000

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:05.734787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:50:05.153263Z digest=sha256:2af8ecaaf18bee4abca3f608cc8e7a5bf56c750d17506eb6238967b56474aaf4

Observation 6031534d-63d2-4ac0-901f-db4aad914eb1 · outbound

This paper cites an unresolved cited work.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Unresolved cited work

Reference 2011

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:05.567658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:50:05.257515Z digest=sha256:7375f5f9c1d13af201bb869914c0c35351098a936bf86973c080c255dc0579b0

Observation f58ad012-a4df-45d3-a862-d3a9a25363d7 · outbound

This paper cites an unresolved cited work.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Unresolved cited work

Reference 2014

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:05.516429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:50:05.278515Z digest=sha256:3f311e08edc73e815e42eca3cc5d29885773d6112e513b9b02c082efb56f730c

Observation 186b6191-8af1-4f5d-bcb6-061c5e531a33 · outbound

This paper cites an unresolved cited work.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Unresolved cited work

Reference 2019

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:05.543676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:50:05.270601Z digest=sha256:5cf45ddb9889cdb7cab5d08488b0a6954ac64d515522f7e30bf131d0d16878a2

Observation a76db83a-c740-4778-948d-ed06fae54368 · outbound

This paper cites Sparks of Artificial General Intelligence: Early experiments with GPT-4.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Sparks of Artificial General Intelligence: Early experiments with GPT-4

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-10T22:50:05.163024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:50:05.163024Z digest=sha256:8b5fd7ac1098dae82b1253389b1baf04ff1963714106daccf65cf886be69bf75

Observation 3b032334-ae30-4a39-a147-fcb1384043eb · outbound

This paper cites an unresolved cited work.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Unresolved cited work

Reference 2021

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:05.707761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:50:05.172655Z digest=sha256:1451ab43d6848e2f6ccae4d6659268801a342b053035f2239961ddec7dd8cc50

Observation 38767efa-5cbd-4aa0-92a5-61a8cbf310d5 · outbound

This paper cites A phase transition between positional and semantic learning in a solvable model of dot-product attention.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph A phase transition between positional and semantic learning in a solvable model of dot-product attention

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-10T22:50:05.181082Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:50:05.181082Z digest=sha256:04790280a1c8e707168e2481bb4c1b04d78325c584b00975b23ec0cc5394f662

Observation 1c420aa9-1668-4c80-93ef-d7343be1fb5e · outbound

This paper cites an unresolved cited work.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Unresolved cited work

Reference 2023

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:05.652247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:50:05.199859Z digest=sha256:4216305c55d2aa02c0050c2ea0d2223895f0ddf26d105ef0f250dc5e66fd962b

Observation 9c1664b2-5a8f-48bc-aa92-80ff96450532 · outbound

This paper cites an unresolved cited work.

Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph Unresolved cited work

Reference 2024

Resolution
unresolved
raw_fallback, observed 2026-08-10T22:50:05.624148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T22:50:05.222767Z digest=sha256:05d739bdf3c6af6659670f8ec0ec2f6976c1e3151beb57f407778e0c06edbc30

Pith citing papers

Observation 58e7d4f6-9517-4d65-9973-4bb798e00c3a · inbound

Decoupling the "What" and "Where" With Polar Coordinate Positional Embeddings cites this paper.

Decoupling the "What" and "Where" With Polar Coordinate Positional Embeddings Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-05T05:39:37.046687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:39:37.046687Z digest=sha256:3d0a4dd6a609163f4c8f43a0954be41f6e9fc1090005c6f40e92aebd8a196254

Observation cdcab211-e124-4ad2-b390-0540bbfbca5a · inbound

TREASURE: The Visa Payment Foundation Model for High-Volume Transaction Understanding cites this paper.

TREASURE: The Visa Payment Foundation Model for High-Volume Transaction Understanding Why Are Positional Encodings Nonessential for Deep Autoregressive Transformers? Revisiting a Petroglyph

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-17T05:31:33.748552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-17T05:29:13.059403Z digest=sha256:f8359a6eac2bc9e09474e9a4bdf5e9a728d2af66715d950a0359f1fde1d9ab65