Pith Number

pith:GHH3FHXB

pith:2018:GHH3FHXBO4M2R2JAW2USTPFOJ7

not attested not anchored not stored refs pending

Fermion masses, mass-mixing and the almost commutative geometry of the Standard Model

Andrzej Sitarz, Ludwik Dabrowski

arxiv:1806.07282 v2 · 2018-06-19 · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHH3FHXBO4M2R2JAW2USTPFOJ7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:51:54.478858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31cfb29ee17719a8e920b6a929bcae4fe2d5b7ff1a85e01a71bdf078014abdd4

Aliases

arxiv: 1806.07282 · arxiv_version: 1806.07282v2 · doi: 10.48550/arxiv.1806.07282 · pith_short_12: GHH3FHXBO4M2 · pith_short_16: GHH3FHXBO4M2R2JA · pith_short_8: GHH3FHXB

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/GHH3FHXBO4M2R2JAW2USTPFOJ7 \
  | 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: 31cfb29ee17719a8e920b6a929bcae4fe2d5b7ff1a85e01a71bdf078014abdd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e068cad70ef03ae0f41b829071aad29d9fda3e3ea0966d18ec922bccab7d552c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-06-19T14:35:26Z",
    "title_canon_sha256": "b60c5b645d563c054a0209dc5a223cb18b9d9108e1165a432603cdeaa8788f51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07282",
    "kind": "arxiv",
    "version": 2
  }
}