Pith Number

pith:TXHVVOCU

pith:2026:TXHVVOCUDOFQREUDCPOHTFWRAS

not attested not anchored not stored refs pending

C$^2$FG: Control Classifier-Free Guidance via Score Discrepancy Analysis

Bo Li, Fengxiang Yang, Hao Zhang, Jia Wang, Jiayang Gao, Jiayang Zou, Jinwei Chen, Luyao Fan, Peng-Tao Jiang, Shice Liu, Tianyi Zheng, Zheyu Zhang

Upper bounds on score discrepancy between conditional and unconditional distributions justify replacing fixed guidance weights with time-dependent control in diffusion models.

arxiv:2603.08155 v3 · 2026-03-09 · cs.LG

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\pithnumber{TXHVVOCUDOFQREUDCPOHTFWRAS}

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Record completeness

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Claims

C1strongest claim

we establish strict upper bounds on the score discrepancy between conditional and unconditional distributions at different timesteps based on the diffusion process. This finding explains the limitations of fixed-weight strategies and establishes a principled foundation for time-dependent guidance.

C2weakest assumption

The assumption that an exponential decay control function optimally aligns with the derived upper bounds on score discrepancy across timesteps and generalizes without task-specific fitting or post-hoc adjustments.

C3one line summary

C²FG provides a time-dependent exponential decay control for classifier-free guidance based on theoretical upper bounds on conditional-unconditional score discrepancies in diffusion processes.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

P-Guide: Parameter-Efficient Prior Steering for Single-Pass CFG Inference

Receipt and verification

First computed	2026-05-21T01:04:24.421698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dcf5ab8541b8b08928313dc7996d10498dd03c81b6c09c9947022af60640317

Aliases

arxiv: 2603.08155 · arxiv_version: 2603.08155v3 · doi: 10.48550/arxiv.2603.08155 · pith_short_12: TXHVVOCUDOFQ · pith_short_16: TXHVVOCUDOFQREUD · pith_short_8: TXHVVOCU

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TXHVVOCUDOFQREUDCPOHTFWRAS \
  | 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: 9dcf5ab8541b8b08928313dc7996d10498dd03c81b6c09c9947022af60640317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c88afc9290c93646fcf4512cce8046c2580cbaa1aa723725ffee0df950158419",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-03-09T09:37:17Z",
    "title_canon_sha256": "6efece5cb074e39a42a6edd94354542e6460e38ab453d107793df4e80adedb62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.08155",
    "kind": "arxiv",
    "version": 3
  }
}