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Paper Citation Record · LEDGER

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks

As of 17 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2606.09951.

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

pith.paper-citation-record.v1
2606.09951 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T17:09:04.556446Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

18 of 18 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6484a644-da04-4d89-b614-715c6ec52c2f · outbound

This paper cites Attention Is All You Need.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks Attention Is All You Need

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T00:27:30.085157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:c9063ec123efb08aea76eede7c179a4021cd47227ac0383146657f4b40c43bd7

Observation aedcc1a1-a5a2-413c-acb5-47dd59c59ad7 · outbound

This paper cites BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks BERT: Pre-training of Deep Bidirectional Transformers for Language Understanding

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-07-03T00:27:30.080438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:12f66b83c039bb16561dae6645c65f9339f0b6c505b8d6e05e8b8ed30ff4a3bb

Observation fc98b9df-e039-42b6-897b-6d953808e8f6 · outbound

This paper cites 2018 , url=.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks 2018 , url=

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:752903f7ee66f60d21feca02aee245fda3cdbbda3624fa0a766dcc9ccdf103c1

Observation b088cb70-4443-49ac-bfcd-204bf014d228 · outbound

This paper cites XLNet: Generalized Autoregressive Pretraining for Language Understanding.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks XLNet: Generalized Autoregressive Pretraining for Language Understanding

Reference 4

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T00:27:30.082922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:838d6adc9a1d189a22a7fe4abd0824a2634aee3778fce97e07cc7c46b8b5afbf

Observation 916d4191-dba7-4c4e-b529-277a83756448 · outbound

This paper cites FlexAttention: A Programming Model for Generating Fused Attention Variants.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks FlexAttention: A Programming Model for Generating Fused Attention Variants

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:589072d313a2948d0262aa40ef8ce8244b75609b7fe772f234f514ca6d29e369

Observation 9e7d3d73-8d0d-4e40-b702-f09211e6f958 · outbound

This paper cites 2020 , eprint=.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks 2020 , eprint=

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:c42c0c7f9f6a5ff085601ee9f7197ec2205a357a6517bc2973b08e45363bf650

Observation 19400ac9-16ab-4328-90d3-e9d41e1ec3fa · outbound

This paper cites MPNet: Masked and Permuted Pre-training for Language Understanding.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks MPNet: Masked and Permuted Pre-training for Language Understanding

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-07-03T00:27:30.090056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:ee23ad91af7c17c77f4f8e4b4da43726c8fdf11f439f0328f5bba3615b25cc4c

Observation 69f6fd64-af6d-47be-9569-a5665b93ca8b · outbound

This paper cites Applied Sciences , VOLUME =.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks Applied Sciences , VOLUME =

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:72e9d79e079ee76c396e9f740a942f076cd4d39eca7fb3c02878d18d6f692267

Observation 1873750d-8e03-4314-b0cf-5f0e0e6a716f · outbound

This paper cites 2022 , eprint=.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks 2022 , eprint=

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:669b9e492c064f2de4673e8c741ec1bcafc109ad40e492e94c0356f78901e9f6

Observation 3cbc2c33-30a4-4007-b141-60507853faa8 · outbound

This paper cites Fu and Stefano Ermon and A.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks Fu and Stefano Ermon and A

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:72527368cb679ede878401b2597d12c41d71c4c5ce5a2fa51cd2846af4a610b5

Observation ab5a37ed-f229-41ce-9748-a5dd5d4f6db0 · outbound

This paper cites 2020 , eprint=.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks 2020 , eprint=

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:e83d7cbea0564d1cf7e1424ed60f300b27461d46bb4b8865428d7dc6b67b0476

Observation f8b1a2b4-7816-470a-b20a-bcd7da18b414 · outbound

This paper cites Big Bird: Transformers for Longer Sequences.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks Big Bird: Transformers for Longer Sequences

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-07-03T00:27:30.092286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:562e7347c0891ef3476e2ba242d12e5b1c8fa6985a22a5053bed7f48574d7c7d

Observation de23391e-c7ad-432f-812b-cc9707ec3eb5 · outbound

This paper cites 2025 , eprint=.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks 2025 , eprint=

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:7cf8c27673f6c0d84915875df9d93901b81f4ee15563812fa355b3b9eff908c9

Observation 35a2fb33-1fb7-4b58-85b6-856dee8f2462 · outbound

This paper cites 2025 , eprint=.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks 2025 , eprint=

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:4d2243f45dce1c54e82e74018b69458b3f72d73319dbc224b13ffb988553adc1

Observation 6ca32e56-ea3a-482e-b073-a03e17e780a8 · outbound

This paper cites Longformer: The Long-Document Transformer.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks Longformer: The Long-Document Transformer

Reference 15

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T00:27:30.087523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:94d57cfb9d9c8ffac99df426b8d40f9473f8c770a5454ac6a7cc2bb39d71374d

Observation ee077be0-59d8-40a3-ae5a-b02359ddb779 · outbound

This paper cites 2025 , url =.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks 2025 , url =

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:97059544c83c73f44dc21fde05e1354f9f88798cb9fea97d43f757a0f97132a4

Observation 4d246217-9510-4fda-9c80-b023238bfc71 · outbound

This paper cites Proceedings of the 42nd International Conference on Machine Learning (ICML) , year =.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks Proceedings of the 42nd International Conference on Machine Learning (ICML) , year =

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:319b6e61a412ffdacf3afcd55fb4e2ace36852b805bae7ee4fd11c056df211e5

Observation 287bf3c9-1629-4d67-8291-bb200fa2f5ec · outbound

This paper cites International Conference on Learning Representations (ICLR) , year =.

Hasse Diagrams for Attention: A Partial Order Framework for Designing Transformer Masks International Conference on Learning Representations (ICLR) , year =

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-27T17:09:04.556446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-27T17:09:04.556446Z digest=sha256:08fcf2b854f263d55d202fe01fda20ed778cf0564de03cf93976bf6b95f99153

Pith citing papers

No inbound Pith citation observations are available.