Pith Number

pith:HS35KTLH

pith:2026:HS35KTLHUQ6HW4MUTCWUTSOFSB

not attested not anchored not stored refs pending

A simple solution to the monopole problem: SU(5) GUT with symmetry breaking into special subgroup

Naoki Yamatsu, Yu Hamada

arxiv:2606.12874 v1 · 2026-06-11 · hep-ph · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HS35KTLHUQ6HW4MUTCWUTSOFSB}

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	2026-06-12T01:08:56.183107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cb7d54d67a43c7b719498ad49c9c5906cb10240efe9d5b5cd4006f28bad89ec

Aliases

arxiv: 2606.12874 · arxiv_version: 2606.12874v1 · doi: 10.48550/arxiv.2606.12874 · pith_short_12: HS35KTLHUQ6H · pith_short_16: HS35KTLHUQ6HW4MU · pith_short_8: HS35KTLH

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/HS35KTLHUQ6HW4MUTCWUTSOFSB \
  | 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: 3cb7d54d67a43c7b719498ad49c9c5906cb10240efe9d5b5cd4006f28bad89ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7386be7bf4920f0e158857c546b5f4d0368473b418493f6a61650181450624bc",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-11T04:02:17Z",
    "title_canon_sha256": "5c28b33e7e37d934926ddb45901b0899fa1668f24e34d9394dcfc2c12917cdac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12874",
    "kind": "arxiv",
    "version": 1
  }
}