Pith Number

pith:AYNR4SYG

pith:2026:AYNR4SYGNDSKQH3P6ON4TZ4NQ3

not attested not anchored not stored refs pending

The ultrafine splitting of heavy quarkonium with next-to-next-to-next-to-next-to-leading-order accuracy

Andreas Maier, Antonio Pineda, Clara Peset, Jose M. Escario

arxiv:2603.08846 v2 · 2026-03-09 · hep-ph · physics.atom-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{AYNR4SYGNDSKQH3P6ON4TZ4NQ3}

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	2026-06-26T01:15:50.447659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

061b1e4b0668e4a81f6ff39bc9e78d86c8259f6ee66f2c9baf5a1862d44121a9

Aliases

arxiv: 2603.08846 · arxiv_version: 2603.08846v2 · doi: 10.48550/arxiv.2603.08846 · pith_short_12: AYNR4SYGNDSK · pith_short_16: AYNR4SYGNDSKQH3P · pith_short_8: AYNR4SYG

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/AYNR4SYGNDSKQH3P6ON4TZ4NQ3 \
  | 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: 061b1e4b0668e4a81f6ff39bc9e78d86c8259f6ee66f2c9baf5a1862d44121a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b824e900d9bbfe130c14f06350dec2fdf07029483d413bce8c0df49881369b2",
    "cross_cats_sorted": [
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-03-09T19:01:13Z",
    "title_canon_sha256": "a04e2cfb84500a556561c5f28fdbcb210eea8509d26043d24ec14a9af53aa629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.08846",
    "kind": "arxiv",
    "version": 2
  }
}