Pith Number

pith:LDTTFUQV

pith:2026:LDTTFUQVE4CQESZK65SYQLSRJV

not attested not anchored not stored refs resolved

Quantitative Symbolic Patch Impact Analysis

Abdus Satter, Laboni Sarker, Tevfik Bultan

Quantitative partial equivalence analysis measures the fraction of inputs where a patch changes program behavior.

arxiv:2605.13885 v1 · 2026-05-11 · cs.PL · cs.SE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDTTFUQVE4CQESZK65SYQLSRJV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Our results show that quantitative partial equivalence analysis effectively characterizes and quantifies patch impact. Additionally, experiments on the EqBench benchmark reveal five C program pairs that are mislabeled as equivalent, and we identify the input conditions under which their behaviors diverge.

C2weakest assumption

The range-based search heuristic provides a sound lower bound on equivalence and that symbolic analysis can accurately identify all relevant input conditions for divergence without missing significant cases.

C3one line summary

Quantitative partial equivalence analysis quantifies behavioral differences between original and patched programs via symbolic analysis and a range-based heuristic for numerical domains.

References

64 extracted · 64 resolved · 0 Pith anchors

[1] Ffmpeg.https://github.com/FFmpeg/FFmpeg.git, accessed: 2025-03-10 2025

[2] Linux.https://github.com/torvalds/linux.git, accessed: 2025-03-10 2025

[3] Qemu.https://github.com/qemu/qemu.git, accessed: 2025-03-10 4.https://github.com/laboni68/PatchImpactAnalysis.git(2026) 2025

[4] In: 2019 IEEE International Conference on Software Maintenance and Evolution (ICSME) 2019

[5] In: 2019 IEEE International Conference on Software Maintenance and Evolution (ICSME) 2019 · doi:10.1109/icsme.2019.00050

Receipt and verification

First computed	2026-05-17T23:39:19.141948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58e732d2152705024b2af765882e514d6cba4f486c109648b341ce185007af47

Aliases

arxiv: 2605.13885 · arxiv_version: 2605.13885v1 · doi: 10.48550/arxiv.2605.13885 · pith_short_12: LDTTFUQVE4CQ · pith_short_16: LDTTFUQVE4CQESZK · pith_short_8: LDTTFUQV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LDTTFUQVE4CQESZK65SYQLSRJV \
  | 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: 58e732d2152705024b2af765882e514d6cba4f486c109648b341ce185007af47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7c1e8ce2d45efb9116b8e41c66e15752728e8949c5e1c022d0d3dd46bef99c8",
    "cross_cats_sorted": [
      "cs.SE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2026-05-11T18:38:58Z",
    "title_canon_sha256": "4355bf7f5219dbf817f047071b42c854815ca7774b0e0e7e8f49e9692f0e6a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13885",
    "kind": "arxiv",
    "version": 1
  }
}