Pith Number

pith:X5UWGIRH

pith:2020:X5UWGIRHCTDY7MHNJLKLDRSC6K

not attested not anchored not stored refs pending

Muon $g-2$, dark matter, and neutrino mass explanations in a modular $A_4$ symmetry

Dong Woo Kang, Hiroshi Okada, Jongkuk Kim, Parada T. P. Hutauruk

arxiv:2012.11156 v3 · 2020-12-21 · 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{X5UWGIRHCTDY7MHNJLKLDRSC6K}

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	2026-07-05T07:46:57.690398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf6963222714c78fb0ed4ad4b1c642f2beeaaef638d419fe506c21cead744d36

Aliases

arxiv: 2012.11156 · arxiv_version: 2012.11156v3 · doi: 10.48550/arxiv.2012.11156 · pith_short_12: X5UWGIRHCTDY · pith_short_16: X5UWGIRHCTDY7MHN · pith_short_8: X5UWGIRH

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/X5UWGIRHCTDY7MHNJLKLDRSC6K \
  | 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: bf6963222714c78fb0ed4ad4b1c642f2beeaaef638d419fe506c21cead744d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a4e69545eb97396a9efa26204848283b5836f104e59420e4d1f5c17d008d13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-12-21T07:17:04Z",
    "title_canon_sha256": "4144a53bd6bde45a86bc3a69403e018fc8a640d183669d09a4099f305146c4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.11156",
    "kind": "arxiv",
    "version": 3
  }
}