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Paper Citation Record · LEDGER

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains

As of 11 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 4 inbound Pith citation observations for arXiv:2507.06187.

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

pith.paper-citation-record.v1
2507.06187 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:14:56.145852Z

measured 21 of 21 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:11:50.571844Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 6a2fb232-df05-4d9e-9e69-45f43cdef048 · outbound

This paper cites math, code), we find pairs where Qwen 3B responds correctly but Qwen 1.5B does not (Figure A2).

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains math, code), we find pairs where Qwen 3B responds correctly but Qwen 1.5B does not (Figure A2)

Reference 1

Resolution
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raw_fallback, observed 2026-08-06T19:15:00.118175Z

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.

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Observation 37ce8142-7b6a-4e94-b2c4-6ece943fe743 · outbound

This paper cites an unresolved cited work.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains Unresolved cited work

Reference 2

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raw_fallback, observed 2026-08-06T19:14:59.898463Z

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.

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Observation 3b326221-4129-41d1-8ba9-2ebbf244483b · outbound

This paper cites Note that these deltas are not exhaustive ; we simply highlight a few here as interesting examples to motivate future work.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains Note that these deltas are not exhaustive ; we simply highlight a few here as interesting examples to motivate future work

Reference 3

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raw_fallback, observed 2026-08-06T19:14:59.594108Z

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.

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Observation 39106cc7-a3bd-4d42-9b97-0210770f725d · outbound

This paper cites First, let’s calculate the total number of cupcakes Dani brought.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains First, let’s calculate the total number of cupcakes Dani brought

Reference 4

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raw_fallback, observed 2026-08-06T19:14:57.289238Z

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=2026-08-06T19:14:55.737202Z digest=sha256:26e94a1a5cb5602e25ea4490d145881cc17708fdac8e6baca5aa25ee07debb3f

Observation 68414a29-b03d-4a54-9af3-6a1c2df9b00e · outbound

This paper cites backbone.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains backbone

Reference 5

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raw_fallback, observed 2026-08-06T19:14:59.299278Z

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.

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Observation 3aedc4d3-add6-44da-bb04-25439ca7954b · outbound

This paper cites Standard tail bounds due to Laurent & Massart (2000) give that Pr x(t,i) 2 ≥ 4 √ d ≤ e−4d.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains Standard tail bounds due to Laurent & Massart (2000) give that Pr x(t,i) 2 ≥ 4 √ d ≤ e−4d

Reference 6

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raw_fallback, observed 2026-08-06T19:14:59.052134Z

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.

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Observation f4f88643-13c0-43a9-ba53-dd37bcb2950f · outbound

This paper cites (50) Then by Lemma F.2, for any δ2 ∈ (0, 1) we have with probability at least 1 − δ2 T ∑ i=1 ζt 2 ≤ s 2dT B ln d + 1 δ2 + 4 √ d ln d + 1 δ2.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains (50) Then by Lemma F.2, for any δ2 ∈ (0, 1) we have with probability at least 1 − δ2 T ∑ i=1 ζt 2 ≤ s 2dT B ln d + 1 δ2 + 4 √ d ln d + 1 δ2

Reference 7

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raw_fallback, observed 2026-08-06T19:14:58.815388Z

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.

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Observation b8821b52-fa1b-4972-a25e-4c6b5eb17695 · outbound

This paper cites G.2 Pilot Study on U LTRA FEEDBACK -WEAK Data and filtering.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains G.2 Pilot Study on U LTRA FEEDBACK -WEAK Data and filtering

Reference 8

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raw_fallback, observed 2026-08-06T19:14:58.486504Z

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.

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Observation 18283c0c-bbdf-44a7-b1a1-7765a011e8d9 · outbound

This paper cites an unresolved cited work.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains Unresolved cited work

Reference 10

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

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Observation d60d945e-9dd0-48f2-ac82-7e3c2e52bddf · outbound

This paper cites an unresolved cited work.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains Unresolved cited work

Reference 11

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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.

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Observation bc47611d-7ea8-4464-863e-124de54ed609 · outbound

This paper cites an unresolved cited work.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains Unresolved cited work

Reference 12

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raw_fallback, observed 2026-08-06T19:14:57.517980Z

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=2026-08-06T19:14:55.585102Z digest=sha256:ec69c07617edcbfd8580c2ff4619d49256173f9b190685a67cdc0bf515b09b5e

Observation 92d495d9-db1c-4a6d-b78d-07b78d943f39 · outbound

This paper cites This migration involved groups moving into Europe, the Middle East, and eventually Asia.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains This migration involved groups moving into Europe, the Middle East, and eventually Asia

Reference 14

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raw_fallback, observed 2026-08-06T19:14:57.041833Z

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

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Observation 159c9b34-aedb-4cfd-b613-7a79fd06ad3c · outbound

This paper cites an unresolved cited work.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains Unresolved cited work

Reference 15

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

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Observation ab3a4335-4dac-473d-b99a-e4b0a4c32d7e · outbound

This paper cites an unresolved cited work.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains Unresolved cited work

Reference 16

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unresolved
raw_fallback, observed 2026-08-06T19:14:56.527202Z

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.

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Observation 4dc56044-df36-41e4-b428-c3fc78584584 · outbound

This paper cites an unresolved cited work.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains Unresolved cited work

Reference 17

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unresolved
raw_fallback, observed 2026-08-06T19:14:56.314766Z

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.

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Observation d3040673-83c2-4a54-95ea-9bcc78591980 · outbound

This paper cites Include bolded sections in your re- sponse.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains Include bolded sections in your re- sponse

Reference 1100

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raw_fallback, observed 2026-08-06T19:14:58.259874Z

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.

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Observation b36142f3-9f9c-4f5f-a30c-e2bdecdeb233 · outbound

This paper cites weak responses.

The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains weak responses

Reference 2024

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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.

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Pith citing papers

Observation 1c90ee3f-7a6f-4f96-93ad-8c500b62a840 · inbound

Weak-to-Strong Generalization is Nearly Inevitable (in Linear Models) cites this paper.

Weak-to-Strong Generalization is Nearly Inevitable (in Linear Models) The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains

Reference 36

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arxiv_id, observed 2026-05-11T18:41:09.049645Z

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=arxiv_source observed=2026-05-08T14:53:42.342330Z digest=sha256:8652e8db1fc5cc6a05b226ea79f455bac3f37ef4c09ccbf5f5119e8cf866209c

Observation a6063add-cbbc-4559-a14d-675d7245b70a · inbound

Trust Functions: Near-Lossless Weak-to-Strong Generalization by Learning When to Trust the Weak Teacher cites this paper.

Trust Functions: Near-Lossless Weak-to-Strong Generalization by Learning When to Trust the Weak Teacher The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains

Reference 44

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arxiv_id, observed 2026-06-28T17:42:24.952269Z

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=arxiv_source observed=2026-06-28T17:35:24.108984Z digest=sha256:80d45bb6d1a37e2fd869251800abeded0397876d65dcf1547920982cf1d9bff5

Observation fb343c3f-3a6c-4328-8c45-dac17b21d3fc · inbound

Bridging Expert Knowledge and Automated Feature Engineering via Self-Evolution cites this paper.

Bridging Expert Knowledge and Automated Feature Engineering via Self-Evolution The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains

Reference 8

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arxiv_id, observed 2026-07-02T22:57:26.451974Z

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.

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Observation 3a3848f3-e475-4b3c-b983-4fa9d7185d29 · inbound

Ask-E: An Environment for Calibrated Question Generation cites this paper.

Ask-E: An Environment for Calibrated Question Generation The Delta Learning Hypothesis: Preference Tuning on Weak Data can Yield Strong Gains

Reference 18

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no resolver link, observed 2026-08-10T18:11:50.571844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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