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Pith Number

pith:JKS3B7XP

pith:2026:JKS3B7XPJSO2ALGCKCUSCD53X3
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Domain wall fermions

Thomas Blum, Yigal Shamir

Domain wall fermions recover exact chiral symmetry when the fifth dimension becomes infinitely long.

arxiv:2603.27608 v4 · 2026-03-29 · hep-lat

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\pithnumber{JKS3B7XPJSO2ALGCKCUSCD53X3}

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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
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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 prove the recovery of exact chiral symmetry in the limit of an infinite fifth direction, and derive the effective four-dimensional operator satisfying the Ginsparg-Wilson relation obtained in this limit.

C2weakest assumption

The spectral properties of the Wilson kernel control the size of residual chiral symmetry breaking for any finite fifth-direction extent; if these spectral features are not as assumed, the residual breaking estimates fail.

C3one line summary

Domain wall fermions recover exact chiral symmetry in the infinite fifth-dimension limit and produce an effective 4D operator satisfying the Ginsparg-Wilson relation.

Formal links

2 machine-checked theorem links

Receipt and verification
First computed 2026-05-20T00:03:09.602003Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4aa5b0feef4c9da02cc250a9210fbbbee11df3f5c8a1695a79abbb273dd5f4ec

Aliases

arxiv: 2603.27608 · arxiv_version: 2603.27608v4 · doi: 10.48550/arxiv.2603.27608 · pith_short_12: JKS3B7XPJSO2 · pith_short_16: JKS3B7XPJSO2ALGC · pith_short_8: JKS3B7XP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JKS3B7XPJSO2ALGCKCUSCD53X3 \
  | 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: 4aa5b0feef4c9da02cc250a9210fbbbee11df3f5c8a1695a79abbb273dd5f4ec
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eee36f18001a5a5ec2edc837b5164960c7fd60b2e0dfff7e234a8dd602595e5b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2026-03-29T10:02:10Z",
    "title_canon_sha256": "be1926143f9c18b7daedd058df0a607b34d82f5b435ed688011c9a81848167a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.27608",
    "kind": "arxiv",
    "version": 4
  }
}