Pith Number

pith:CUYI5DKA

pith:2025:CUYI5DKALRVPBJQLQQZQ6XBG3T

not attested not anchored not stored refs pending

The asymptotically-free gauge theories

Ben Gripaios, Khoi Le Nguyen Nguyen

arxiv:2507.12348 v1 · 2025-07-16 · hep-th · hep-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CUYI5DKALRVPBJQLQQZQ6XBG3T}

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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.

Cited by

1 paper in Pith

Comment to "The asymptotically-free gauge theories"

Receipt and verification

First computed	2026-07-05T11:38:18.732206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15308e8d405c6af0a60b84330f5c26dccf85d554243d55647ea6c0a2527ad264

Aliases

arxiv: 2507.12348 · arxiv_version: 2507.12348v1 · doi: 10.48550/arxiv.2507.12348 · pith_short_12: CUYI5DKALRVP · pith_short_16: CUYI5DKALRVPBJQL · pith_short_8: CUYI5DKA

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/CUYI5DKALRVPBJQLQQZQ6XBG3T \
  | 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: 15308e8d405c6af0a60b84330f5c26dccf85d554243d55647ea6c0a2527ad264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d29e6a3804fed0e92cf4c937b8e64992d3c2e88f9d62b09e5185bb1cbbe3a3",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-16T15:44:48Z",
    "title_canon_sha256": "7573f9de5465d98d2b24c119ec6d548a3ccbcc8ec50c3698836b1fc553c4dc8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12348",
    "kind": "arxiv",
    "version": 1
  }
}