Pith Number

pith:PSN4KCVZ

pith:1997:PSN4KCVZFD56M4XCYXR7B7TKZB

not attested not anchored not stored refs pending

Techniques for computing two-loop QCD corrections to b-->c transitions

Andrzej Czarnecki, Kirill Melnikov

arxiv:hep-ph/9706227 v1 · 1997-06-03 · 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{PSN4KCVZFD56M4XCYXR7B7TKZB}

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	2026-05-18T01:08:05.206671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c9bc50ab928fbe672e2c5e3f0fe6ac8654d7ac89cadee9b143a5c233ebe87ba

Aliases

arxiv: hep-ph/9706227 · arxiv_version: hep-ph/9706227v1 · doi: 10.48550/arxiv.hep-ph/9706227 · pith_short_12: PSN4KCVZFD56 · pith_short_16: PSN4KCVZFD56M4XC · pith_short_8: PSN4KCVZ

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/PSN4KCVZFD56M4XCYXR7B7TKZB \
  | 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: 7c9bc50ab928fbe672e2c5e3f0fe6ac8654d7ac89cadee9b143a5c233ebe87ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "618926ef97754c773357cdeac30ac1d70cb01af7d6f222e102ae5f537729eff2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1997-06-03T12:51:04Z",
    "title_canon_sha256": "cd8e2b88ca51ca7720a5c69b739e9d5c0c8c0fe1deb8b6f2de8c8715a242a941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9706227",
    "kind": "arxiv",
    "version": 1
  }
}