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Paper Citation Record · LEDGER

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning

As of 18 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 3 inbound Pith citation observations for arXiv:2603.01221.

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

pith.paper-citation-record.v1
2603.01221 v2

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T19:45:44.223048Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:51:00.933549Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T14:48:33.325669Z

Reference resolution

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8d728311-c935-4cde-9029-3db325c71b99 · outbound

This paper cites an unresolved cited work.

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T19:45:43.888465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:45:43.888465Z digest=sha256:8d5053938823041b096161b69315f1c33527d567c22e315043950daf351bccf8

Observation b0b71945-69c2-42c3-a2a7-d80859610b74 · outbound

This paper cites an unresolved cited work.

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T19:45:43.825647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:45:43.825647Z digest=sha256:3422560f9b115981990f7e117b6581bac72c7bb1357b95f852dd04521c6722fa

Observation a26265ac-4966-42a2-bf06-744605946354 · outbound

This paper cites an unresolved cited work.

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T19:45:44.034692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:45:44.034692Z digest=sha256:79e500c146f47eb1dfc528956edff849e3a84c0cb77275ce2434ac28d6c28fbb

Observation df68cafa-e16c-4ae9-9856-2556f3f8ede4 · outbound

This paper cites Consider a vertical cross-section of the cone through its axis.

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning Consider a vertical cross-section of the cone through its axis

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-02T19:45:43.769414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:45:43.769414Z digest=sha256:7751a884d35a2a783372e7fcfe22c5aef50af78db41540afb4a0984d1652e357

Observation 076dfe39-9199-4c37-a4b5-d0a0852a712c · outbound

This paper cites an unresolved cited work.

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T19:45:43.963185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:45:43.963185Z digest=sha256:c009e0bb4f9f0c5eb8ec42e155ff2688b66571a10c94bb8072d48300f807051e

Observation 44821590-2c83-41b3-a499-1cc6c3d03df3 · outbound

This paper cites Corrected Reasoning:.

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning Corrected Reasoning:

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T19:45:44.066173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:45:44.066173Z digest=sha256:9cdfc520394fcb951c744f6cb873cb4fea99463619ffa30ed4465f40d7d6f12c

Observation 7ba52118-1c96-4486-b69a-91cc800fe1f8 · outbound

This paper cites The radius of the sphere, r, is the radius of the inscribed sphere.

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning The radius of the sphere, r, is the radius of the inscribed sphere

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T19:45:44.109018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:45:44.109018Z digest=sha256:161045cd2679b43598dbc0e39a8ab9aea4bdd6b3eeb7d02e875803752b5bc6f3

Observation fc129565-2c6b-4937-8123-b49e2089dab6 · outbound

This paper cites an unresolved cited work.

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T19:45:44.181757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:45:44.181757Z digest=sha256:40fdf159e38b6ddcf5ded912e7a4ec1ce48c31c0cfc4c54b6ac30fa2ee22319f

Observation a04e6d93-e575-4170-a344-3ea066cc747e · outbound

This paper cites an unresolved cited work.

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T19:45:44.194487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:45:44.194487Z digest=sha256:e355559c9c1eb4a32d425fe800ee0418b84e249aac9f23f4589e6600fdcf3866

Observation c62fbff5-bef0-4886-a408-7a64489b46a0 · outbound

This paper cites approximation traps,.

Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning approximation traps,

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T19:45:44.223048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T19:45:44.223048Z digest=sha256:202300b998fc1529b3e7f1c41d4441d3942daeffbc73f2aa1fed4243b15d799b

Pith citing papers

Observation d52205bc-578d-4338-ada6-d065fb7e43e6 · inbound

Multiagent Protocols with Aggregated Confidence Signals cites this paper.

Multiagent Protocols with Aggregated Confidence Signals Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-07-03T14:48:33.327100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-27T06:53:51.778069Z digest=sha256:0f82b44c33c8f3ad94e781f09e2b4d7fa7805a300a635594a047b6d3ea8fc276

Observation 14f8cc6a-b85a-4907-b5c4-3680769c2c45 · inbound

Oracle Gap and Signal Fidelity: A Fixed-Pool Diagnostic for Test-Time Collaboration cites this paper.

Oracle Gap and Signal Fidelity: A Fixed-Pool Diagnostic for Test-Time Collaboration Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-01T17:46:57.614947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T17:46:57.614947Z digest=sha256:e5b2fa4794d9022f503c81c6499ae96a04cea5bec6e6675bfc008eec4c414593

Observation ac3e9db2-b22b-4deb-be4c-abe0b0008005 · inbound

Group Perspective Matters: Regulating Debate Relationships Can Mitigate Blind Conformity in Multi-Agent Debate cites this paper.

Group Perspective Matters: Regulating Debate Relationships Can Mitigate Blind Conformity in Multi-Agent Debate Epistemic Gain, Aleatoric Cost: Uncertainty Decomposition in Multi-Agent Debate for Math Reasoning

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-15T14:51:00.933549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:51:00.933549Z digest=sha256:394e9e9dbe1d3506f4844f86f89f1cb98fe231178d55c5079f96a4f1addb4e86