Pith Number

pith:GRAQCZHK

pith:2015:GRAQCZHKCUFEXZL6XYQLTDQJPI

not attested not anchored not stored refs pending

Mass-Splitting between Haves and Have-Nots (Symmetry vs. Grand Unified Theory)

Keisuke Harigaya, Masahiro Ibe, Motoo Suzuki

arxiv:1505.05024 v2 · 2015-05-19 · 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{GRAQCZHKCUFEXZL6XYQLTDQJPI}

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	2026-05-18T01:28:55.913498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34410164ea150a4be57ebe20b98e097a02491fb0efc9a6dc00c49e8358f80ebd

Aliases

arxiv: 1505.05024 · arxiv_version: 1505.05024v2 · doi: 10.48550/arxiv.1505.05024 · pith_short_12: GRAQCZHKCUFE · pith_short_16: GRAQCZHKCUFEXZL6 · pith_short_8: GRAQCZHK

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/GRAQCZHKCUFEXZL6XYQLTDQJPI \
  | 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: 34410164ea150a4be57ebe20b98e097a02491fb0efc9a6dc00c49e8358f80ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "972c02b6d13b375c672639c7129a956da56a202ec2a9b68d71f31ff8c8d5c618",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-05-19T14:45:57Z",
    "title_canon_sha256": "2dc616f1d5eb476ba4b9a7aba3d7cb63c9d98a3b5b1831620d2a826998edeec9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05024",
    "kind": "arxiv",
    "version": 2
  }
}