Pith Number

pith:J3KM5RHE

pith:2026:J3KM5RHEISU6ODO52ZWIT7L3FG

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Resolution Information: Limits of Ambiguity Resolution for Generative Communication

Angeles Vazquez-Castro, Faheem Dustin Quazi, Zhu Han

Resolution information reduces to a prior-dependent binary divergence when posteriors are unconstrained, and repeated sampling then drives semantic ambiguity to zero exponentially fast.

arxiv:2605.12800 v1 · 2026-05-12 · cs.IT · math.IT

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Claims

C1strongest claim

resolution information reduces to a binary divergence that depends only on each region's prior probability. In this case, the shape of the regions is irrelevant. Under repeated sampling, ambiguity decays exponentially with an exponent equal to the resolution information... polytope-type regions can exhibit residual ambiguity that no amount of additional information can remove. These results reveal a fundamental departure from classical channel coding.

C2weakest assumption

The generative representation constrains the posterior family in specific geometric ways (half-spaces resolvable, polytope-type regions leaving irreducible floors) that determine whether asymptotic ambiguity resolution is possible.

C3one line summary

Resolution information equals a binary divergence based only on prior probabilities when posteriors are unconstrained, but constrained generative representations can induce irreducible ambiguity floors due to posterior geometry.

References

20 extracted · 20 resolved · 0 Pith anchors

[1] T. M. Cover and J. A. Thomas,Elements of Information Theory, 2nd ed. Wiley, 2006 2006

[2] Communication in the Presence of Noise, 1949

[3] A rate-distortion framework for characterizing semantic information, 2021

[4] Semantic communications: Principles and challenges 2022

[5] Semantic communications: Principles and challenges, 2022

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:12.735140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed4cec4e444a9e70dddd66c89fd7b29a48fae6dce5019e835994a0d568aece8

Aliases

arxiv: 2605.12800 · arxiv_version: 2605.12800v1 · doi: 10.48550/arxiv.2605.12800 · pith_short_12: J3KM5RHEISU6 · pith_short_16: J3KM5RHEISU6ODO5 · pith_short_8: J3KM5RHE

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/J3KM5RHEISU6ODO52ZWIT7L3FG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4ed4cec4e444a9e70dddd66c89fd7b29a48fae6dce5019e835994a0d568aece8

Canonical record JSON

{
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    "abstract_canon_sha256": "13be7e8ad2282a85cb0d754a49b77c4cf4a4185db01e8ee5cea3587ed58af5b9",
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      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-05-12T22:38:15Z",
    "title_canon_sha256": "2d5a1ef7807d78ef1e8fa17ec765c94b8f96a00d7769182a989edc1b6a35ce2d"
  },
  "schema_version": "1.0",
  "source": {
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    "kind": "arxiv",
    "version": 1
  }
}