Pith Number

pith:E2RNBHU3

pith:2026:E2RNBHU365Z6KLD4BY2LESCKSA

not attested not anchored not stored refs pending

Exact SU(2) Yang-Mills Waves from a Simple Ansatz

Jing-Ling Chen, Yu-Xuan Zhang

A simple ansatz reduces the SU(2) Yang-Mills equations to nine algebraic constraints that yield three families of exact waves.

arxiv:2605.04964 v2 · 2026-05-06 · quant-ph · hep-th · math-ph · math.MP

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Record completeness

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4 Citations 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

Owing to this ansatz, the nonlinear field equations reduce to nine algebraic constraints, whose complete solution yields three families of exact waves.

C2weakest assumption

The chosen y-dependent rotated Pauli basis together with the single-phase dependence θ = kz − ωt is sufficient to capture the relevant exact solutions without missing essential non-Abelian structure or introducing hidden constraints.

C3one line summary

A y-dependent rotated Pauli ansatz reduces SU(2) Yang-Mills to algebraic constraints that admit three families of exact waves: Abelian-like linear waves, nonlinear waves with constant color-electric offset, and pure-gauge solutions.

Receipt and verification

First computed	2026-06-01T01:03:54.441041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26a2d09e9bf773e52c7c0e34b2484a902ff379339cd436eea5ea8bcf4f2f5fc8

Aliases

arxiv: 2605.04964 · arxiv_version: 2605.04964v2 · doi: 10.48550/arxiv.2605.04964 · pith_short_12: E2RNBHU365Z6 · pith_short_16: E2RNBHU365Z6KLD4 · pith_short_8: E2RNBHU3

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/E2RNBHU365Z6KLD4BY2LESCKSA \
  | 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: 26a2d09e9bf773e52c7c0e34b2484a902ff379339cd436eea5ea8bcf4f2f5fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d56098802b01de79e7d1e16dd6b200da46cf8b774de2a61f8b70bf5dc0c6d82",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-06T14:24:43Z",
    "title_canon_sha256": "1e0e69e8c02a1dda580761af2f5430690a3ed9fc203fcf6eb6252e1a4fef3f18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.04964",
    "kind": "arxiv",
    "version": 2
  }
}