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Pith Number

pith:DJOWHGPQ

pith:2026:DJOWHGPQMGWMTEQUNDXXGNQYTY
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Hidden gauge invariance

Karl-Henning Rehren

Gauge invariance emerges from quantum constraints on a Hilbert space for most renormalizable interactions of vector bosons.

arxiv:2605.01453 v2 · 2026-05-02 · hep-th · math-ph · math.MP

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\pithnumber{DJOWHGPQMGWMTEQUNDXXGNQYTY}

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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

most interactions fulfilling the constraints enjoy a 'hidden' gauge invariance (uncovered via redefinitions of quantum fields). The hidden gauge invariance is exact and unbroken even in the presence of massive vector bosons.

C2weakest assumption

that the renormalizable interactions are purely constrained by quantum principles, notably the representation on a Hilbert space, and that string-localized interactions suffice to make S-matrices string-independent while coinciding with gauge-theory results on indefinite spaces.

C3one line summary

Interactions constrained purely by Hilbert space representations exhibit hidden gauge invariance, enabling string-localized formulations whose S-matrices match gauge theories without ghosts or indefinite metrics.

Receipt and verification
First computed 2026-05-26T02:05:09.829013Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1a5d6399f061acc9921468ef7336189e1947f0c9b4fa055b1ddefe424456d61b

Aliases

arxiv: 2605.01453 · arxiv_version: 2605.01453v2 · doi: 10.48550/arxiv.2605.01453 · pith_short_12: DJOWHGPQMGWM · pith_short_16: DJOWHGPQMGWMTEQU · pith_short_8: DJOWHGPQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DJOWHGPQMGWMTEQUNDXXGNQYTY \
  | 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: 1a5d6399f061acc9921468ef7336189e1947f0c9b4fa055b1ddefe424456d61b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "26034355985e3cfbe93f4e7e2ae9782459bed6a40b0d4899217e2a16a472311b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-02T14:02:20Z",
    "title_canon_sha256": "5e55b195b7c1cbf8e7785d56df2ecc55b8e79852708cd7be76821a4bb0160902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.01453",
    "kind": "arxiv",
    "version": 2
  }
}