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Paper Citation Record · LEDGER

Training Language Models for Bilateral Trade with Private Information

As of 6 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 2026-08-06T06:34:29.942622+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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:484c35b09ee5c5fbdce673faf672bee302d8ff8e43b7232dda0f9e51dc2d1d83

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:8c850b1a862c3a9663272afe1321d8d65e20076042c2237da88a8962cc1cbd3a

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:479ba6e0d23e93bb5624231d54e7a3fbcbca04b2057d6c0b7d906aab1f809f89

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:aea5eba59c53684339dbbc75c25bc5d31b30fc1f8f3c1f0a5e9c5401733362ba

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:d1f72c5e8d57c30cc598da3f5c4a9e48e9422a565868a0d9f23b9e74bb262a44

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:697a10eb6bd3440d3e2daac8a9fa4a0b3a3403defdca2324027d64fcb0c1e3d5

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:bbb3d8fdbab3fe81da16e8b0f3e73ada8a27c28c3c843fb2c514c50850aad2f3

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:d5de8e39091f5964f78e38f3cb44e3b37e370d2fea8290f9b88d16af90192815

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:a3a85f1952d97d7b20500e83d2d823d0a46b950ec09ddda7fd29f6a445e68197

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:bee51feae80af0daaef9364b8aa00013e3e712a53e46403ea2ca3e641ffa6906

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:be00f5a11d361ec13416c36a12825056ebde294471d82044261cc378f6434c66

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:d11d4eb871d4e4d0614ff71d42f67e9bc516c80cc9935208ee840cea0a8f621f

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:5cc8f0375289d580d48dbe1957a44bf9624f5dcb24831f3639521c871363f179

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:761731c60d2daf4334e7f84f88707cf596c3fa4057be5e7a67e114aafe8a7c0e

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:bd1d69df1c0dbbee4138b5bb0ea578ad40fdccda0d25e892bb0f6ad57e0d985f

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:94e6a96b67e6f0873271728654bab16ecdc4d47c616d0fbd387350164e1f1013

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:0d9e8048dbeb0652c6936f0e3ff2e04f07eff728b8d00dc5577133ebc04a1329

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:6549da1865f3491d4720b69067f4684fef0252f1de391c9a57d8328257a37679

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:7d1656673f99f3a2148686033f4065d4611830888df415ea2fd87b779f48d38f

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:431698cf4d0ae4bad9bf69e5e4ce58668884e05afe3573d6634d20b0b7b1630e

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:e921dcf7345466c798a7bc951811289855741265c9641fff03422fa0eb70f61e

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:c3dae0dbeb7b06ea691580cd4dc1c10fff8b65bd1ea5a576b4d83fce5b75bfc2

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:c9fa599c609cdbae6a5c4d7591903e414e00b3a7f47644a2720e76f1411ca487

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:27cbd262ad3b381a64771b8a7add6c76c2fe9ef40a103a7cee8322009190770d

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 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T17:14:31.945463Z digest=sha256:a2f92b20fa65c3b53db9a77ab82e6db30a2e8491b50177ac9e64c292a89e20e2

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 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-08T22:26:44.052574Z digest=sha256:0e8277bfa288f669dfe838dd9d0991f0d389243b15eed71f5272cf7002eab2ea