Pith Number

pith:NTGLJ2JS

pith:1998:NTGLJ2JSDKTC26VWZAM7BWPO22

not attested not anchored not stored refs pending

Positronium hyperfine splitting: analytical value at m*alpha^6

A. Czarnecki, A. Yelkhovsky, K. Melnikov

arxiv:hep-ph/9809341 v1 · 1998-09-11 · 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{NTGLJ2JSDKTC26VWZAM7BWPO22}

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	2026-07-04T16:09:24.507036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cccb4e9321aa62d7ab6c819f0d9eed6b903a8b0c9e50e95c5b5ebe26073d631

Aliases

arxiv: hep-ph/9809341 · arxiv_version: hep-ph/9809341v1 · doi: 10.48550/arxiv.hep-ph/9809341 · pith_short_12: NTGLJ2JSDKTC · pith_short_16: NTGLJ2JSDKTC26VW · pith_short_8: NTGLJ2JS

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/NTGLJ2JSDKTC26VWZAM7BWPO22 \
  | 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: 6cccb4e9321aa62d7ab6c819f0d9eed6b903a8b0c9e50e95c5b5ebe26073d631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c7d973502264d6de0096ddf5ac6c34cccbf3fde58915a238022f1cc76acf5d5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1998-09-11T13:27:40Z",
    "title_canon_sha256": "e4a43086f8bb70a0582feab1c235d4bb521fd4fecbc99a1cb0a77922b0b87648"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9809341",
    "kind": "arxiv",
    "version": 1
  }
}