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Paper Citation Record · LEDGER

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data

As of 4 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2605.15417.

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

pith.paper-citation-record.v1
2605.15417 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-19T16:00:39.078055Z

measured 13 of 13 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 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

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved4
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9b1d4c80-0ce7-4b63-878f-a2b528b33025 · outbound

This paper cites 20251026.

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data 20251026

Reference 1

Resolution
malformed identifier
doi_truncated, observed 2026-05-19T16:02:38.443349Z

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=2026-05-19T16:00:39.078055Z digest=sha256:b6c1b2d7bb01bc7f2aa5c0bcf2cabdfa28b76b75a6e6da18565760688f467bdb

Observation 1b1c9134-9953-4af1-8d9a-5ead138f5c49 · outbound

This paper cites an unresolved cited work.

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-19T16:02:39.640787Z

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=2026-05-19T16:00:39.078055Z digest=sha256:052ab98250bf3c494a016abf2fc16e81848c16f1f799a966e2861f08209e2f1e

Observation 47da5985-2fba-4832-a600-227f2d7484f6 · outbound

This paper cites an unresolved cited work.

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-19T16:02:39.633181Z

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=2026-05-19T16:00:39.078055Z digest=sha256:45befbea19d48bedd0fc1e44f8b549c85bcfebdb18669a6226aaaa949bc04c83

Observation 85fbb3ab-f941-40f8-8276-1a70e07ecadc · outbound

This paper cites an unresolved cited work.

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-19T16:02:39.638385Z

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=2026-05-19T16:00:39.078055Z digest=sha256:e50ce1ead4d6bc744b2b7aa61cb52a78db769ec11499f4a89115bb90d89629d6

Observation 4567574c-8942-4d80-b9ae-58f9fe29c403 · outbound

This paper cites •Gradient Weight: wDG i = ∆i −E B[∆(y)].

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data •Gradient Weight: wDG i = ∆i −E B[∆(y)]

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T16:02:39.635772Z

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=2026-05-19T16:00:39.078055Z digest=sha256:d4e1c79893aa6b6edfb756ad6be9eed21147195e9b6206d8fe650e10ea40a312

Observation 3f821bbf-5c1f-41dd-96f0-d38e2d6a0603 · outbound

This paper cites •Gradient Weight: wDG i = 1− e−∆i EB[e−∆(y)].

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data •Gradient Weight: wDG i = 1− e−∆i EB[e−∆(y)]

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T16:02:39.642817Z

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=2026-05-19T16:00:39.078055Z digest=sha256:4c1e5deb815635b68828218cd093141e2f5bf9e5417ea6540e3fdcb508308ec6

Observation b5c4e892-f19c-46e8-8fbc-045be4412407 · outbound

This paper cites •Gradient Weight: wDG i = e∆i EB[e∆(y)] −1.

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data •Gradient Weight: wDG i = e∆i EB[e∆(y)] −1

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T16:02:39.622129Z

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=2026-05-19T16:00:39.078055Z digest=sha256:5e39155e8924d9414b5d423ea2226dcfb4f0ab661ab6fa5af851c8e69185d3db

Observation 6f6c3890-c59c-495b-8c78-5985698b5582 · outbound

This paper cites •Gradient Weight: wDG i = 1 2 1− e−2∆i EB[e−2∆(y)].

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data •Gradient Weight: wDG i = 1 2 1− e−2∆i EB[e−2∆(y)]

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T16:02:39.616358Z

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=2026-05-19T16:00:39.078055Z digest=sha256:cbc5150be9d1ec9e3074e986e93e18550d57f3450f3cf0bcaf10713244e3f62e

Observation 6f4d4c19-1634-4c16-befe-8657f95b74a2 · outbound

This paper cites 22 f-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs •Gradient Weight: wDG i = 2 1− e−∆i/2 EB[e−∆(y)/2].

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data 22 f-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs •Gradient Weight: wDG i = 2 1− e−∆i/2 EB[e−∆(y)/2]

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T16:02:39.619481Z

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=2026-05-19T16:00:39.078055Z digest=sha256:8a439cc983ad79124a75d5357d393957f5992650847dbc5a6f3ad36cb635462a

Observation e4212b6a-8e1d-475e-8cec-415738e617d5 · outbound

This paper cites •Gradient Weight: wDG i =sgn(∆ i −Median({∆(y)})).

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data •Gradient Weight: wDG i =sgn(∆ i −Median({∆(y)}))

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T16:02:39.624839Z

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=2026-05-19T16:00:39.078055Z digest=sha256:2236e729a7157e9ccf26cc5709183d80f01d2a16967b6814bff15c12a0c33d3d

Observation 12f132f5-a898-4106-9d41-cecc8c96a1a0 · outbound

This paper cites •Gradient Weight: wDG i = 1 α−1 e(α−1)∆i EB[e(α−1)∆(y)] −1 E.

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data •Gradient Weight: wDG i = 1 α−1 e(α−1)∆i EB[e(α−1)∆(y)] −1 E

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-19T16:02:39.627394Z

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=2026-05-19T16:00:39.078055Z digest=sha256:6a0f9bbb4959afe091ea6bc08268612c56c348f9fe2afd17aae866b86ccd39b4

Observation 1d088c6e-9c60-48ef-9eb9-1967c1514c44 · outbound

This paper cites an unresolved cited work.

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-19T16:02:39.630083Z

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=2026-05-19T16:00:39.078055Z digest=sha256:4bacb1f7aea90fd3fe8c0c2280fe9ddef54697ef7e3faa0e1610a6477c282687

Observation 6d1b84c6-2333-4d16-991b-ce9bca8a9ef4 · outbound

This paper cites We also provide the following plots for on policy training with the same losses, showing a similar trend: (a)JSD vs.

$f$-Trajectory Balance: A Loss Family for Tuning GFlowNets, Generative Models, and LLMs with Off- and On-Policy Data We also provide the following plots for on policy training with the same losses, showing a similar trend: (a)JSD vs

Reference 13

Resolution
malformed identifier
raw_fallback, observed 2026-05-19T16:02:39.613432Z

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=2026-05-19T16:00:39.078055Z digest=sha256:929a31e1c68297b0919e4e9b6253d460efc9f9991b2dd3aade1dab951e4f6af9

Pith citing papers

No inbound Pith citation observations are available.