Pith Number

pith:LHXWKKFU

pith:2006:LHXWKKFUGQ4FBL343OTP5XAWKL

not attested not anchored not stored refs pending

O(\alpha_s^3) contributions to F_L^{Q\bar{Q}}(x,Q^2) for large virtualities

J. Bl\"umlein

arxiv:hep-ph/0608023 v1 · 2006-08-02 · 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{LHXWKKFUGQ4FBL343OTP5XAWKL}

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	2026-07-04T17:28:54.965107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59ef6528b4343850af7cdba6fedc1652f05cfa2a0fe06d8ebb5d32c251d55841

Aliases

arxiv: hep-ph/0608023 · arxiv_version: hep-ph/0608023v1 · doi: 10.48550/arxiv.hep-ph/0608023 · pith_short_12: LHXWKKFUGQ4F · pith_short_16: LHXWKKFUGQ4FBL34 · pith_short_8: LHXWKKFU

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/LHXWKKFUGQ4FBL343OTP5XAWKL \
  | 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: 59ef6528b4343850af7cdba6fedc1652f05cfa2a0fe06d8ebb5d32c251d55841

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce2eefeb4dfc5a08c06b4f67564edf5377751d0585ef50f3eb5738a8504047e6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-08-02T19:07:57Z",
    "title_canon_sha256": "9d0091ae498647651f5583213c7f020ed833f71a7b8da51dc29eaa81b29df4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0608023",
    "kind": "arxiv",
    "version": 1
  }
}