Pith Number

pith:WVJ3G2Q3

pith:1999:WVJ3G2Q3ESK2TTVZ4W5NPYWBOH

not attested not anchored not stored refs pending

Muon's Behaviors under Bremsstrahlung with both the LPM effect and the Ter-Mikaelian effect and Direct Pair Production with the LPM effect

A.Misaki, M.Kato, N.Takahashi, S.Polityko, Y.Yamada

arxiv:hep-ph/9911330 v1 · 1999-11-12 · 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{WVJ3G2Q3ESK2TTVZ4W5NPYWBOH}

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	2026-05-18T04:17:36.967499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b553b36a1b2495a9ceb9e5bad7e2c171da44efe71787150980bef9d7d072b1ad

Aliases

arxiv: hep-ph/9911330 · arxiv_version: hep-ph/9911330v1 · doi: 10.48550/arxiv.hep-ph/9911330 · pith_short_12: WVJ3G2Q3ESK2 · pith_short_16: WVJ3G2Q3ESK2TTVZ · pith_short_8: WVJ3G2Q3

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/WVJ3G2Q3ESK2TTVZ4W5NPYWBOH \
  | 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: b553b36a1b2495a9ceb9e5bad7e2c171da44efe71787150980bef9d7d072b1ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ec66f30f50e052741a307b642bc446bc4dc2dc723237fbe160398196aafcb2a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-11-12T11:56:41Z",
    "title_canon_sha256": "e387abe72c1aac79a5d5a30aece48da445113018be8049eb6cd943d8dfdad372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9911330",
    "kind": "arxiv",
    "version": 1
  }
}