Pith Number

pith:YLJP3ZTJ

pith:2000:YLJP3ZTJ6QWZW4YVSI5DH7ABM3

not attested not anchored not stored refs pending

On the parametrization of atmospheric muon angular flux underwater

E.V.Bugaev, I.A.Sokalski (Institute for Nuclear Research, Moscow), Russian Academy of Sciences, S.I.Klimushin

arxiv:hep-ph/0012032 v3 · 2000-12-04 · 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{YLJP3ZTJ6QWZW4YVSI5DH7ABM3}

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	2026-05-18T02:36:48.762580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2d2fde669f42d9b7315923a33fc0166e87f01d698de3d9ecc71603c42b2d0d1

Aliases

arxiv: hep-ph/0012032 · arxiv_version: hep-ph/0012032v3 · doi: 10.48550/arxiv.hep-ph/0012032 · pith_short_12: YLJP3ZTJ6QWZ · pith_short_16: YLJP3ZTJ6QWZW4YV · pith_short_8: YLJP3ZTJ

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/YLJP3ZTJ6QWZW4YVSI5DH7ABM3 \
  | 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: c2d2fde669f42d9b7315923a33fc0166e87f01d698de3d9ecc71603c42b2d0d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e60969fded60f770f41585a415aa0fe6bf3235344fd8f9284df66f46b6be65",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-12-04T16:29:46Z",
    "title_canon_sha256": "a44330804cee24b50d0f3353262dd1de21e168520c88179f724164234d98020a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0012032",
    "kind": "arxiv",
    "version": 3
  }
}