Pith Number

pith:HN4TGTYK

pith:2021:HN4TGTYK6NZGTGSP6WCAHQY3KA

not attested not anchored not stored refs pending

Analyticity, renormalization, and evolution of the soft-quark function

Geoffrey T. Bodwin, June-Haak Ee, Jungil Lee, Xiang-Peng Wang

arxiv:2101.04872 v3 · 2021-01-13 · 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{HN4TGTYK6NZGTGSP6WCAHQY3KA}

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.

Cited by

1 paper in Pith

Renormalisation group evolution of the shape function $g_{17}$ in $\bar{B}\to X_s \gamma$ and $\bar{B} \to X_s \ell^+\ell^-$ at subleading power

Receipt and verification

First computed	2026-07-05T02:59:08.793986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b79334f0af372699a4ff58403c31b5032d08b00acd4f4e8a83a0a964560165e

Aliases

arxiv: 2101.04872 · arxiv_version: 2101.04872v3 · doi: 10.48550/arxiv.2101.04872 · pith_short_12: HN4TGTYK6NZG · pith_short_16: HN4TGTYK6NZGTGSP · pith_short_8: HN4TGTYK

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/HN4TGTYK6NZGTGSP6WCAHQY3KA \
  | 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: 3b79334f0af372699a4ff58403c31b5032d08b00acd4f4e8a83a0a964560165e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4dc005b892760db9878dd8915e359f698895ea313d9d426524e7bfc4837abb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-01-13T04:39:57Z",
    "title_canon_sha256": "532a74afe6bfde4abcb77255cde167c4c8b331e1556206de7fff76e7c1f57f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.04872",
    "kind": "arxiv",
    "version": 3
  }
}