Pith Number

pith:5ODXPY74

pith:2018:5ODXPY745KR743AODDPIXFCW7U

not attested not anchored not stored refs pending

SO(3) family symmetry and axions

Frank Wilczek, Jos\'e W.F. Valle, Mario Reig

arxiv:1805.08048 v2 · 2018-05-21 · 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{5ODXPY745KR743AODDPIXFCW7U}

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	2026-05-18T00:00:43.338477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb8777e3fceaa3fe6c0e18de8b9456fd28c6f8a0433d5c43b18cdc1668f91696

Aliases

arxiv: 1805.08048 · arxiv_version: 1805.08048v2 · doi: 10.48550/arxiv.1805.08048 · pith_short_12: 5ODXPY745KR7 · pith_short_16: 5ODXPY745KR743AO · pith_short_8: 5ODXPY74

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/5ODXPY745KR743AODDPIXFCW7U \
  | 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: eb8777e3fceaa3fe6c0e18de8b9456fd28c6f8a0433d5c43b18cdc1668f91696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a625dae56730e0fecade728b1d85aa6284dae9e5456088646432bb54da30283d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-05-21T13:42:04Z",
    "title_canon_sha256": "f9d2f1db6ce0b5f9a6c797f1cebd4214ea395ebfd4a4ad93dae3435925cc1df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08048",
    "kind": "arxiv",
    "version": 2
  }
}