Pith Number

pith:OC245CFV

pith:2026:OC245CFVK2VXRJJP7QGDTTLVJZ

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A New Class of Geometric Analog Error Correction Codes for Crossbar Based In-Memory Computing

Anxiao Jiang, Changcheng Yuan, Paul H. Siegel, Ron M. Roth, Ziyuan Zhu

A geometric analysis characterizes m-height profiles of a family of analog codes to handle multiple outliers in resistive crossbar computing.

arxiv:2603.03723 v4 · 2026-03-04 · cs.IT · math.IT

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\pithnumber{OC245CFVK2VXRJJP7QGDTTLVJZ}

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Record completeness

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4 Citations open

5 Replications open

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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 study a recently proposed family of geometric codes capable of handling multiple outliers, and develop a geometric analysis that characterizes their m-height profiles.

C2weakest assumption

That the recently proposed geometric codes are indeed capable of handling multiple outliers under the mixed noise model of resistive crossbars, and that a geometric analysis of m-height profiles will meaningfully expand the usable code families.

C3one line summary

The authors develop a geometric analysis that characterizes the m-height profiles of geometric codes capable of correcting multiple outliers in analog in-memory computing.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Tight Lower Bounds on The Single-Error Detection Threshold for Analog Error-Correcting Codes

Receipt and verification

First computed	2026-05-29T01:04:37.079269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70b5ce88b556ab78a52ffc0c39cd754e4c90b329074ecbd18ad353c5edaff438

Aliases

arxiv: 2603.03723 · arxiv_version: 2603.03723v4 · doi: 10.48550/arxiv.2603.03723 · pith_short_12: OC245CFVK2VX · pith_short_16: OC245CFVK2VXRJJP · pith_short_8: OC245CFV

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OC245CFVK2VXRJJP7QGDTTLVJZ \
  | 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: 70b5ce88b556ab78a52ffc0c39cd754e4c90b329074ecbd18ad353c5edaff438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "607568ed5b9c8e1e0eb1ce1a15c52006ae2a878d66c5922a98bc7154d4918b7b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-03-04T04:51:30Z",
    "title_canon_sha256": "b383d3190b1cc911b63fc1af41fcb8b7ffd3caa52cf09b7036a657457bd100eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.03723",
    "kind": "arxiv",
    "version": 4
  }
}