Pith Number

pith:GZSUGQF3

pith:2025:GZSUGQF35PYE52C6KY4NGUREJX

not attested not anchored not stored refs pending

Hadronic vacuum polarization effect in muonic atoms

Moritz Thierfeld, Natalia S. Oreshkina, Zoia A. Mandrykina

arxiv:2509.01311 v1 · 2025-09-01 · physics.atom-ph · nucl-th · quant-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{GZSUGQF35PYE52C6KY4NGUREJX}

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	2026-07-05T12:02:58.053823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36654340bbebf04ee85e5638d352244dd7f5e26de36da35e0f6670cbaa6ec643

Aliases

arxiv: 2509.01311 · arxiv_version: 2509.01311v1 · doi: 10.48550/arxiv.2509.01311 · pith_short_12: GZSUGQF35PYE · pith_short_16: GZSUGQF35PYE52C6 · pith_short_8: GZSUGQF3

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/GZSUGQF35PYE52C6KY4NGUREJX \
  | 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: 36654340bbebf04ee85e5638d352244dd7f5e26de36da35e0f6670cbaa6ec643

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15e3f63be5377898cf4fec81bb438370a59b1006852afd2e193a608476e372f2",
    "cross_cats_sorted": [
      "nucl-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2025-09-01T09:50:42Z",
    "title_canon_sha256": "60ad674d8032cdcb1b102ef68d18284efb2dd80c193bd535717c99243bf6c93f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01311",
    "kind": "arxiv",
    "version": 1
  }
}