Pith Number

pith:YYFRME33

pith:2012:YYFRME337CN7Y6WANFPYZC5CXD

not attested not anchored not stored refs pending

Question of Peccei-Quinn symmetry and quark masses in the economical 3-3-1 model

H. N. Long, H. T. Hung, P. V. Dong

arxiv:1205.5648 v2 · 2012-05-25 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYFRME337CN7Y6WANFPYZC5CXD}

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	2026-05-18T03:49:32.391987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c60b16137bf89bfc7ac0695f8c8ba2b8c2819d353a269d89f2b43fd894e3e2ea

Aliases

arxiv: 1205.5648 · arxiv_version: 1205.5648v2 · doi: 10.48550/arxiv.1205.5648 · pith_short_12: YYFRME337CN7 · pith_short_16: YYFRME337CN7Y6WA · pith_short_8: YYFRME33

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/YYFRME337CN7Y6WANFPYZC5CXD \
  | 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: c60b16137bf89bfc7ac0695f8c8ba2b8c2819d353a269d89f2b43fd894e3e2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfbf4115eedeb79e84e94e11389491e841910a532df74071530c3ad1695a1002",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-05-25T09:36:28Z",
    "title_canon_sha256": "a59789ca96e68835faafc92e31f76265d9a3760ad1f92c2f13bcc101f94ec5ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5648",
    "kind": "arxiv",
    "version": 2
  }
}