Paper Citation Record · LEDGER

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing

As of 24 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2602.00906.

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

pith.paper-citation-record.v1
2602.00906 v7

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T06:03:04.862987Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:19:07.266844Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T15:19:07.826326Z

Reference resolution

16 of 16 outbound references displayed

verified exact0
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21b8801c-5e4e-4252-bcae-491503590b96 · outbound

This paper cites 2.F p(µK, µN )is continuous inp.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing 2.F p(µK, µN )is continuous inp

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:03.123680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd4aabe7-3de0-41ab-b4a1-bff51b3e29c4 · outbound

This paper cites We only need to verify continuity atp = 0.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing We only need to verify continuity atp = 0

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:03.403367Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2098c569-4573-4818-b4e6-06faf540498b · outbound

This paper cites Theoretical Foundations and Mitigation of Hallucination in Large Language Models.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing Theoretical Foundations and Mitigation of Hallucination in Large Language Models

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:02.837307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5d4b7fe-25bf-4a0b-80a9-869ac3596908 · outbound

This paper cites First, observe that the map( p, µK, µN ) 7→µ p = pµK + (1 −p )µN is continuous from the product topology to the weak-* topology.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing First, observe that the map( p, µK, µN ) 7→µ p = pµK + (1 −p )µN is continuous from the product topology to the weak-* topology

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:03.261137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa5a69be-412a-4c55-a692-b903f3e61169 · outbound

This paper cites For p∈ (0, 1), let ν := µK + µN and write fK := dµK dν , fN := dµN dν , so that the mixtureµp =pµ K + (1−p)µ N has density mp := dµp dν =pf K + (1−p)f N.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing For p∈ (0, 1), let ν := µK + µN and write fK := dµK dν , fN := dµN dν , so that the mixtureµp =pµ K + (1−p)µ N has density mp := dµp dν =pf K + (1−p)f N

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:03.582709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17eafa9e-dba1-4ada-905f-a6381730d91f · outbound

This paper cites , uin the sequencesx u andy u.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing , uin the sequencesx u andy u

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:03.774208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eec0e3f5-b4ab-4da2-8131-2a7105ee0f1e · outbound

This paper cites an unresolved cited work.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:04.018154Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c85c3ffb-375a-40c4-967f-71d4f865bcdf · outbound

This paper cites Then µ∗ N = δ0.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing Then µ∗ N = δ0

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:04.174419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbb4c4d5-5476-4b9b-9307-61b58e842269 · outbound

This paper cites Then µ∗ N = δx∗.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing Then µ∗ N = δx∗

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:04.299700Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11422c45-c996-40e4-a97a-4af3602be0b0 · outbound

This paper cites an unresolved cited work.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:04.445644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88bbf0bc-7279-48f6-9152-95d1db71d757 · outbound

This paper cites (1−q ∗)(−ln 1) +q ∗(−ln(1−x ∗)) =ε N =⇒q ∗ = εN −ln(1−x ∗).

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing (1−q ∗)(−ln 1) +q ∗(−ln(1−x ∗)) =ε N =⇒q ∗ = εN −ln(1−x ∗)

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:04.586817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a522fd1-d234-4629-be5b-f6ea46002216 · outbound

This paper cites an unresolved cited work.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:04.724273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f69bf7b-5b65-471a-b98a-97e39ac5b5c5 · outbound

This paper cites Consequently, in the definition ofRp(εK, εN )we may restrict toˆx∈ {0,1}, and the optimal output distributions are Bernoulli.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing Consequently, in the definition ofRp(εK, εN )we may restrict toˆx∈ {0,1}, and the optimal output distributions are Bernoulli

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:04.862987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8767931-6ed7-450b-b84b-33239cecdfef · outbound

This paper cites world state.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing world state

Reference 2001

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:02.981921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4fcc74b9-0cc2-423b-9201-0af79286ea16 · outbound

This paper cites URLhttps://doi.org/10.1145/3442188.3445922.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing URLhttps://doi.org/10.1145/3442188.3445922

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:02.671633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e46df452-05b8-4549-819b-f936206ee874 · outbound

This paper cites Zeyuan Allen-Zhu and Yuanzhi Li.

Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing Zeyuan Allen-Zhu and Yuanzhi Li

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-03T06:03:02.486636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation e79802df-1dd0-4e5c-b2be-b7cd2507537f · inbound

Context Compaction Theory cites this paper.

Context Compaction Theory Hallucination is a Consequence of Space-Optimality: A Rate-Distortion Theorem for Membership Testing

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:19:07.832114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.