Pith Number

pith:GA54BWXA

pith:2011:GA54BWXAPAP33OW6I7JGT3FKWE

not attested not anchored not stored refs pending

Yukawa couplings and seesaw neutrino masses in noncommutative gauge theory

Amon Ilakovac, Jiangyang You, Josip Trampetic, Peter Schupp, Raul Horvat

arxiv:1109.3085 v3 · 2011-09-14 · hep-th · 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{GA54BWXAPAP33OW6I7JGT3FKWE}

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	2026-05-18T02:00:33.016536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

303bc0dae0781fbdbade47d269ecaab11da010a9025c36715ef4944ce3c76152

Aliases

arxiv: 1109.3085 · arxiv_version: 1109.3085v3 · doi: 10.48550/arxiv.1109.3085 · pith_short_12: GA54BWXAPAP3 · pith_short_16: GA54BWXAPAP33OW6 · pith_short_8: GA54BWXA

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/GA54BWXAPAP33OW6I7JGT3FKWE \
  | 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: 303bc0dae0781fbdbade47d269ecaab11da010a9025c36715ef4944ce3c76152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32196009482f589c3d517bc65720a78c586aeb324de656b768a937ddf3ed2d14",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-14T14:08:16Z",
    "title_canon_sha256": "58f36f366d966b64f7574e329c2b1be5caac0cdf4c346578e1a0a3893ba5426c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3085",
    "kind": "arxiv",
    "version": 3
  }
}