pith:RC5VFPV3
A Theory of Time-Sensitive Language Generation: Sparse Hallucination Beats Mode Collapse
Timely generation of preferred strings is impossible for eventually consistent generators but possible with vanishing hallucination rates for superlinear deadlines.
arxiv:2605.11302 v2 · 2026-05-11 · cs.LG · cs.AI · cs.CL
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\usepackage{pith}
\pithnumber{RC5VFPV3CMM3XBKXCBZLWBURLN}
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Record completeness
Claims
We show that timely generation is impossible in a strong sense for eventually consistent generators. Under a hallucination rate that vanishes over time, we can achieve optimal density with respect to any superlinear deadline function. We also show this is tight by ruling out timely generation with linear deadlines and vanishing hallucination rate.
The assumption that there exists a generator achieving a hallucination rate that vanishes over time while still respecting the global preference ordering in the limit (the 'mildest natural relaxation of consistency' invoked to circumvent the impossibility result).
Timely generation of preferred strings is impossible for eventually consistent generators but achievable with vanishing hallucination rates for any superlinear deadline function.
Formal links
Receipt and verification
| First computed | 2026-05-21T01:04:27.648500Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
88bb52bebb1319bb85571072bb06915b48da192b8dc5e50b48d014db3cf8e141
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RC5VFPV3CMM3XBKXCBZLWBURLN \
| 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: 88bb52bebb1319bb85571072bb06915b48da192b8dc5e50b48d014db3cf8e141
Canonical record JSON
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"license": "http://creativecommons.org/licenses/by/4.0/",
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