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Paper Citation Record · LEDGER

Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction

As of 4 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 5 inbound Pith citation observations for arXiv:2604.15694.

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

pith.paper-citation-record.v1
2604.15694 v2

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-11T01:49:55.806764Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T13:53:03.147549Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-30T19:15:00.146874Z

Reference resolution

4 of 4 outbound references displayed

  • verified exact1
  • verified fuzzy1
  • unresolved0
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5be9f3ec-4868-4f77-a615-fd35f1b9dec9 · outbound

This paper cites Protein generation with evolutionary diffusion: sequence is all you need.

Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction Protein generation with evolutionary diffusion: sequence is all you need

Reference 1

Resolution
verified exact
doi, observed 2026-05-11T01:50:50.589639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:49:55.806764Z digest=sha256:6b670aec957c647271e766a037aa1b7b9f2bc10a3c6c5c1abf5a20ad8cf6bca4

Observation 25dd59aa-96a4-4eb3-b3b0-05f5b280da04 · outbound

This paper cites TinyStories: How Small Can Language Models Be and Still Speak Coherent English?.

Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction TinyStories: How Small Can Language Models Be and Still Speak Coherent English?

Reference 2

Resolution
metadata mismatch
arxiv_id, observed 2026-05-25T07:36:55.300854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:49:55.806764Z digest=sha256:d918ad2bc0b08e6b7186e1ee3381a4263c61af8d87900c0a02701a5d9b181c53

Observation 841a5e8b-27a3-4435-a307-6796d26a55dd · outbound

This paper cites Both are tokenized with the GPT-2 BPE tokenizer (vocabulary size 50257) and truncated or padded to a maximum sequence length of.

Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction Both are tokenized with the GPT-2 BPE tokenizer (vocabulary size 50257) and truncated or padded to a maximum sequence length of

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T15:36:49.008244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:49:55.806764Z digest=sha256:51f077923dc9b55970ef18dc167398eda56e5e14aae3929a43912c26d9267714

Observation 73d56ae1-5eff-4ed2-becf-99a71a34f5e5 · outbound

This paper cites under far greater strain.

Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction under far greater strain

Reference 4

Resolution
malformed identifier
raw_fallback, observed 2026-05-14T15:36:49.010119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-11T01:49:55.806764Z digest=sha256:cc03f936e3670bb3f42e39a0d8e57877eca9c34469e78d71c3db034870ab2ae9

Pith citing papers

Observation 0c75a801-7f99-491a-96d7-9731be9cf710 · inbound

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space cites this paper.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction

Reference 77

Resolution
verified exact
local_arxiv, observed 2026-05-20T14:48:23.244629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-20T14:47:33.474443Z digest=sha256:bac54b23dbe172ff1a441ac66718607c337c977a2573bfeb5864381160373cec

Observation ed539cca-dcf3-4b53-97f5-c94641b05244 · inbound

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space cites this paper.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-06-30T19:15:00.148967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-06-30T19:13:35.794787Z digest=sha256:ed22fd571bd9bb24f10c3691ed3851405e6374248187a89d18fa8d9855f9f9d1

Observation 7faa3103-b51b-444d-b55e-0cbd9ef0ef37 · inbound

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space cites this paper.

Dimension-Free Convergence of Discrete Diffusion Models: Adjoint Equations Induce the Right Space Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-02T13:53:03.147549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T13:53:03.147549Z digest=sha256:41c9944dd09516873fafd6764270e53aec8433582cc6559e2f3ceb9c3d9c8cb1

Observation d32451a6-332a-4b96-9aa0-83d2f7dade4c · inbound

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy cites this paper.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T07:44:48.056152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:44:48.056152Z digest=sha256:0e8056fd8c91add4c987542602aad3ba10db2468bd58283852732cf60cc594da

Observation 035f786b-dac6-4866-9726-37d358d43fdd · inbound

UNIFUSION: Adapting Autoregressive Language Models into Discrete Diffusion under a Unified Reverse-Rate Objective cites this paper.

UNIFUSION: Adapting Autoregressive Language Models into Discrete Diffusion under a Unified Reverse-Rate Objective Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-31T12:59:57.748731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T12:59:57.748731Z digest=sha256:fa72360cba0ea78fdcabb6fd2dcaa1b2a77d35bb8f097aa64716c26a2cae53a7