Pith Number

pith:HWTC2D2Q

pith:2025:HWTC2D2QFHTQ6AA65OFHLWRQ5A

not attested not anchored not stored refs resolved

One constant to rule them all

Aleksei Bykov, Ekaterina Sysoeva

Symmetry fixes the coupling matrix of N=2 SU(N) theories with 2N hypermultiplets to floor(N/2) constants, one of which is distinguished in S-duality, asymptotics, and instanton recursion.

arxiv:2512.13934 v2 · 2025-12-15 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWTC2D2QFHTQ6AA65OFHLWRQ5A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

One coupling constant, however, plays a distinguished role, emerging in the asymptotic regime and in instanton recursion relation. In the massive case, this structure is deformed but the distinguished coupling retains its privileged role.

C2weakest assumption

Using symmetry and dimensional arguments, we construct its general form and identify floor(N/2) coupling constants in their most natural basis. The assumption that these arguments are sufficient to uniquely fix the form and the natural basis without additional input.

C3one line summary

In these supersymmetric theories, the coupling matrix has floor(N/2) independent constants under S-duality, with one distinguished constant that remains key in asymptotic and instanton regimes.

References

10 extracted · 10 resolved · 9 Pith anchors

[2] Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD 1994 · arXiv:hep-th/9408099

[3] Liouville Correlation Functions from Four-dimensional Gauge Theories 2010 · arXiv:0906.3219

[4] $N=2$ Super Yang-Mills and Subgroups of $SL(2,Z)$ 1996 · arXiv:hep-th/9601059

[5] S-duality, triangle groups and modular anomalies in N=2 SQCD 2016 · arXiv:1601.01827

[6] Aleksei Bykov, Ekaterina Sysoeva, Zamolodchikov recurrence relation and modular properties of effective coupling inN= 2 SQCD, arXiv:2507.20876 [hep-th] 21

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:04.570821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3da62d0f5029e70f001eeb8a75da30e822b46173f355adbcb85384d22afb5ca7

Aliases

arxiv: 2512.13934 · arxiv_version: 2512.13934v2 · doi: 10.48550/arxiv.2512.13934 · pith_short_12: HWTC2D2QFHTQ · pith_short_16: HWTC2D2QFHTQ6AA6 · pith_short_8: HWTC2D2Q

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/HWTC2D2QFHTQ6AA65OFHLWRQ5A \
  | 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: 3da62d0f5029e70f001eeb8a75da30e822b46173f355adbcb85384d22afb5ca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77f97dc09b98d168a12551f45e83a232e84de6f00f1b9647a7217b1d07d0f6e5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-15T22:18:24Z",
    "title_canon_sha256": "fdc875d50f87cc5c51a058e41b1eca28ef9f5111a5f5e66f44b81fa76c222022"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.13934",
    "kind": "arxiv",
    "version": 2
  }
}