Pith Number

pith:ILU2ODCP

pith:2025:ILU2ODCPKTKDSH2JE3Q6J2UZD4

not attested not anchored not stored refs pending

(Iso)spin from Isospin in Top-Down Holography

Marcelo Oyarzo, Ricardo Stuardo

Hedgehog monopoles in supergravity create a diagonal symmetry that mixes SU(2) and SO(3) angular momenta in dilaton fluctuations.

arxiv:2512.02120 v3 · 2025-12-01 · hep-th

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\usepackage{pith}
\pithnumber{ILU2ODCPKTKDSH2JE3Q6J2UZD4}

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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

Due to the diagonal symmetry, the fluctuations show angular momentum mixing between the SU(2) and SO(3) spins, mimicking the spin from isospin mechanism.

C2weakest assumption

The two supergravity solutions can be consistently uplifted to Type II string theory while preserving the stated diagonal symmetry and without introducing inconsistencies in the higher-dimensional geometry.

C3one line summary

Supergravity backgrounds with monopoles on S2 exhibit diagonal symmetry upon uplift, causing SU(2)-SO(3) angular momentum mixing in fluctuations analogous to the Jackiw-Rebbi-Hasenfratz-'t Hooft effect.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T01:05:03.082585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e9a70c4f54d4391f4926e1e4ea991f08fd4aa3a525d09d6ae29e0110536e6e

Aliases

arxiv: 2512.02120 · arxiv_version: 2512.02120v3 · doi: 10.48550/arxiv.2512.02120 · pith_short_12: ILU2ODCPKTKD · pith_short_16: ILU2ODCPKTKDSH2J · pith_short_8: ILU2ODCP

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/ILU2ODCPKTKDSH2JE3Q6J2UZD4 \
  | 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: 42e9a70c4f54d4391f4926e1e4ea991f08fd4aa3a525d09d6ae29e0110536e6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caffe594482c75855823afd9b37d0781fc124395e32d187a12dc913560da57ee",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-01T19:00:04Z",
    "title_canon_sha256": "06285f45d1935529edfa8e42913fd82421e97eeac82036ebe11e35d447959daa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.02120",
    "kind": "arxiv",
    "version": 3
  }
}