Pith Number

pith:56YY4CAP

pith:2011:56YY4CAP7WFFEWAN4P7AUWG7VN

not attested not anchored not stored refs pending

Gravitational Corrections to Fermion Masses in Grand Unified Theories

Ting-Cheng Yang, Xavier Calmet

arxiv:1105.0424 v1 · 2011-05-02 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56YY4CAP7WFFEWAN4P7AUWG7VN}

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	2026-05-18T04:13:39.074755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efb18e080ffd8a52580de3fe0a58dfab7118014aa6ae03b1445aa848a3cff8f5

Aliases

arxiv: 1105.0424 · arxiv_version: 1105.0424v1 · doi: 10.48550/arxiv.1105.0424 · pith_short_12: 56YY4CAP7WFF · pith_short_16: 56YY4CAP7WFFEWAN · pith_short_8: 56YY4CAP

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/56YY4CAP7WFFEWAN4P7AUWG7VN \
  | 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: efb18e080ffd8a52580de3fe0a58dfab7118014aa6ae03b1445aa848a3cff8f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b45abc1eb458f5d5289aa7786b3a3990dfd17656ac05c46395fbcc2bf840df",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-05-02T20:00:03Z",
    "title_canon_sha256": "db0f9fed36b74a503b7ff93b05b47f964e52cac2fdfaba7954c8467ce998f33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0424",
    "kind": "arxiv",
    "version": 1
  }
}