Pith Number

pith:CGPIKT56

pith:2010:CGPIKT56GRCSA2ON3NEDKX427I

not attested not anchored not stored refs pending

Symmetry group of massive Yang-Mills theories without Higgs and their quantization

F.F. L\'opez-Ruiz, M. Calixto, V. Aldaya

arxiv:1012.3937 v2 · 2010-12-17 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGPIKT56GRCSA2ON3NEDKX427I}

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.

Receipt and verification

First computed	2026-05-18T02:04:22.966300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

119e854fbe34452069cddb48355f9afa2049fc2c317838487b134fed6925ae5c

Aliases

arxiv: 1012.3937 · arxiv_version: 1012.3937v2 · doi: 10.48550/arxiv.1012.3937 · pith_short_12: CGPIKT56GRCS · pith_short_16: CGPIKT56GRCSA2ON · pith_short_8: CGPIKT56

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/CGPIKT56GRCSA2ON3NEDKX427I \
  | 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: 119e854fbe34452069cddb48355f9afa2049fc2c317838487b134fed6925ae5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f2a5423866535e37bf1d04ee05e701967926ace82f7e93ff18855758fc14aaa",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-17T17:39:07Z",
    "title_canon_sha256": "d713b0d2ce7b301de12157825c4b62e1aa0ace35046b5f34bc6facdb6b8fbc4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3937",
    "kind": "arxiv",
    "version": 2
  }
}