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Paper Citation Record · LEDGER

Training Language Models for Bilateral Trade with Private Information

As of 4 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2604.16472.

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

pith.paper-citation-record.v1
2604.16472 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-08T22:26:44.052574Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T22:35:40.629741Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact1
  • verified fuzzy8
  • unresolved13
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 481d432a-f1f5-436e-b11e-c0840c61f41f · outbound

This paper cites Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilities.

Training Language Models for Bilateral Trade with Private Information Gemini 2.5: Pushing the Frontier with Advanced Reasoning, Multimodality, Long Context, and Next Generation Agentic Capabilities

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-05-10T17:15:38.292899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:d49ad8103ed02324602a6d9920259bb5b85f928ec40b88449a0101e884a4fb10

Observation df95acb9-d121-4b5b-992b-7ccfcc780465 · outbound

This paper cites Michael Ostrovsky and Michael Schwarz.

Training Language Models for Bilateral Trade with Private Information Michael Ostrovsky and Michael Schwarz

Reference 2

Resolution
verified exact
doi, observed 2026-05-10T17:15:38.288050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:53e1795619cc5ba8a1bdbd8e2574afec0a9c89b28d2880a315b7e22838e48544

Observation a436c4b9-8a7c-4c81-a263-dc04caf43749 · outbound

This paper cites Proximal Policy Optimization Algorithms.

Training Language Models for Bilateral Trade with Private Information Proximal Policy Optimization Algorithms

Reference 3

Resolution
metadata mismatch
local_arxiv, observed 2026-05-10T17:15:38.297737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:148f543376493ea5c6a5180e2198cb77b75ef9562c91dbced909429beb5d37fc

Observation b8e9ab62-7084-4b48-99ae-eb1812c36d5b · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.793780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:dc6a499618accfb16bcc90a938f970c8dba53e8bbea0b4a80be69098de9e5e79

Observation de3a3875-c0d4-46e1-b78e-096a7a5597a3 · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.774362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:339f7a48ac7105930e823bdaf0ce3740c1b0431efe8bf2e0791ab9dd39056c1b

Observation 3d309c68-eb60-4c36-9618-69da9b476997 · outbound

This paper cites Seller proposed$1,500.

Training Language Models for Bilateral Trade with Private Information Seller proposed$1,500

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T11:24:31.807114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:eb93068f5785ae85bbd39d5a7df4df9e500279e9b4813b814c1d50960ca4cd45

Observation ceb8e71b-319e-4ba3-8d63-85d1cc71a957 · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.800504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:65bfb7048e7cf2daafaa4467bb0a22485828667dc50b0fcc79c4e48766d70b64

Observation 97343721-7773-4ce2-a5e1-e8eb558b84a0 · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.777775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:e4f73e8e60b7d6b3110f1709dd3cae0ba003a8e8c9db3cdf873f67cc65f053c8

Observation 230517d5-905c-46af-a25f-79ebb04a15ed · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.826035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

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Observation ad5560f6-aaee-434c-bd1c-009f2f88861d · outbound

This paper cites Used Laptop.

Training Language Models for Bilateral Trade with Private Information Used Laptop

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T11:24:31.821094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:93d8891336492aeb222cad963d8749b64b8449bcc2e1733dbb3e66986a288941

Observation 887f003f-8122-4217-a5d9-2e3c71c5d192 · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.812998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:4ec6d22208d72303b38e14d691b3a32d105880d214f5b7d982e7cdbab0faf733

Observation aef17907-97cc-4fca-acd5-b405ce1d1195 · outbound

This paper cites <think>...</think> reasoning blocks are removed from input prompts (but retained in target completions), as described in Section 5.2.

Training Language Models for Bilateral Trade with Private Information <think>...</think> reasoning blocks are removed from input prompts (but retained in target completions), as described in Section 5.2

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T11:24:31.790613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:c1fd56ab0f1a109d0c06aa88e2ea7ce84336ab624f9570d2642bcb14d8cb4620

Observation ec7784c1-8146-4daf-a559-9f5f9ea30b83 · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.797330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:f7d1ea4b7f741c1ebd9834e2602da9c2650c09392bb625665319a7833ed56220

Observation 496bfef6-277a-4faf-83da-918bdb812482 · outbound

This paper cites Loss is computed only on output tokens.

Training Language Models for Bilateral Trade with Private Information Loss is computed only on output tokens

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T11:24:31.831540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:325393a1b99041749cf6f0da6ffc732b6e91c2091e854579694575fa0c82c741

Observation 3f085265-3219-46ab-b6ca-37829563f29a · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.816244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:1d4bff52cc5c166c2e07ce63b893d25fa01961dc0bd11a388337ef8cc63304ef

Observation 544d2c88-ceb6-4383-a470-cf79fc008e46 · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.844558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:792ca6c5b2a3232425b1291283c6c6428621195a55ebd2a73abd3da11a3b3749

Observation 882d557b-5a7f-4f11-88d1-6ce99c20c6c5 · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.838308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:752109d58db02da24668d5adcc40caa286480429821cdd639468f4ff6e9baae4

Observation 8a6bb694-712d-4773-88e1-597fadd32bca · outbound

This paper cites The choice of the PAD token is critical.

Training Language Models for Bilateral Trade with Private Information The choice of the PAD token is critical

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T11:24:31.784083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:014a0a2092f4a210691ec4463b3db3f2878ffe38af70ae1b158af63b8b34b734

Observation 77a25903-a810-432e-9c4e-e7788a5ce8af · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.780802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:45f14baa47b5da13e43a6a86bc9c91fc4dc9045e554d2c2d9f00ecabceb1a584

Observation abda04b4-b29f-4f05-aed2-ff89db971d00 · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.810132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:6cadfb21e6e986b5004fb88adff3780e7e6ababec2badaec82526bb9b403aefd

Observation 2b9759f4-0fc3-4199-91ea-8e9ebf25063c · outbound

This paper cites an unresolved cited work.

Training Language Models for Bilateral Trade with Private Information Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-17T11:24:31.787205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:abfc4b32b19af39b753ed89e943f2650b3094561853fa23b88f2a6cc444ed0ef

Observation dbb1932c-d891-4941-bd15-09a04c0cb21a · outbound

This paper cites B.6 Training Dynamics The training process naturally progresses through three phases.

Training Language Models for Bilateral Trade with Private Information B.6 Training Dynamics The training process naturally progresses through three phases

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T11:24:31.835093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:845df88e886895735bbf6fddd74bbf1034ec37a5e4fca49ec4bb411ff4c294eb

Observation 8a0d8cec-19fe-46ed-91f3-8ee8b640e76d · outbound

This paper cites Rewards are dominated by Rparsing and Rexecution (Equation (8) and Table 8), as successful negotiations are rare.

Training Language Models for Bilateral Trade with Private Information Rewards are dominated by Rparsing and Rexecution (Equation (8) and Table 8), as successful negotiations are rare

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T11:24:31.841645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:f89b5fd9e51769c977f20655630888a4cc67e6a2c1407c38b41d572a02f6541e

Observation 8572feaf-31e6-4d2f-bf17-c0546872081e · outbound

This paper cites IR violation rates drop from >30% to<5%.

Training Language Models for Bilateral Trade with Private Information IR violation rates drop from >30% to<5%

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T11:24:31.847825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:8107efaf08453f08a0335293f9c500b09248ce706a42c20c52d4af3ab0c0a725

Observation 081fbdf5-3533-4093-b5fc-3d1a0e7fef95 · outbound

This paper cites C Frontier Benchmark: Supplementary Results This appendix provides supplementary figures and tables for the frontier model benchmark (Section 4).

Training Language Models for Bilateral Trade with Private Information C Frontier Benchmark: Supplementary Results This appendix provides supplementary figures and tables for the frontier model benchmark (Section 4)

Reference 25

Resolution
malformed identifier
raw_fallback, observed 2026-05-17T11:24:31.804084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:f77417a3302649560a273cc64dc8ba25c6fc1565f301c5b53968c7c99e1209f2

Pith citing papers

Observation c9c655eb-e70d-4207-aa5f-b8d5655ab5dc · inbound

Strategic Bargaining in Multi-Buyer Markets: Reinforcement Learning from Verifiable Rewards for LLM Negotiations cites this paper.

Strategic Bargaining in Multi-Buyer Markets: Reinforcement Learning from Verifiable Rewards for LLM Negotiations Training Language Models for Bilateral Trade with Private Information

Reference 53

Resolution
metadata mismatch
local_arxiv, observed 2026-07-08T22:35:40.631208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=arxiv_source observed=2026-07-08T22:26:44.052574Z digest=sha256:6217e7d3caa8701d43397f1e39a45896fe351458bb3d3ac4144276a4c4675d63