Pith Number

pith:4NEEKZUG

pith:2026:4NEEKZUGF3CGVDHBUEPBJL4M5E

not attested not anchored not stored refs resolved

Correctly Rounded Functions For Vector Applications: A Performance Study

Andrey Stepin, Cristina Anderson, Marius Cornea, Mihai Tudor Panu

SIMD algorithms for correctly rounded single-precision functions form the core of a new vector math library planned for mid-2026.

arxiv:2605.15547 v1 · 2026-05-15 · cs.MS

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\pithnumber{4NEEKZUGF3CGVDHBUEPBJL4M5E}

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Record completeness

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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

we have designed several SIMD algorithms for one-input single precision functions and integrated them into our CPU math library; these will form the core of the first correctly rounded vector math library, to be available to users in mid-2026

C2weakest assumption

The designed SIMD algorithms achieve correct rounding (per IEEE 754) while delivering competitive performance on vector hardware; this premise is stated in the abstract but not supported by any verification details or data.

C3one line summary

Design and performance study of SIMD algorithms for correctly rounded one-input math functions in vector CPU and GPU applications.

References

14 extracted · 14 resolved · 0 Pith anchors

[1] Fast evaluation of elementary mathematical functions with correctly rounded last bit 1991

[2] Handbook of Floating-Point Arithmetic 2010

[3] Correctly Rounded Math Libraries without Worrying about the Application’s Rounding Mode 2025

[4] Correctly rounded evaluation of a function: why, how, and at what cost? 2026

[5] The CORE-MATH Project 2022

Receipt and verification

First computed	2026-05-20T00:01:04.696225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3484566862ec46a8ce1a11e14af8ce92d2307b58341c60d54143a6fa48dea59

Aliases

arxiv: 2605.15547 · arxiv_version: 2605.15547v1 · doi: 10.48550/arxiv.2605.15547 · pith_short_12: 4NEEKZUGF3CG · pith_short_16: 4NEEKZUGF3CGVDHB · pith_short_8: 4NEEKZUG

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4NEEKZUGF3CGVDHBUEPBJL4M5E \
  | 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: e3484566862ec46a8ce1a11e14af8ce92d2307b58341c60d54143a6fa48dea59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3568ff64e97e6fe16639ef6632088d18361ca9992add5bcfc8f353864ead0c4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2026-05-15T02:39:39Z",
    "title_canon_sha256": "83aeca7c31f58e9701af52c8d191962540a958e2aa1fc70de0782c21bde24031"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15547",
    "kind": "arxiv",
    "version": 1
  }
}