Pith Number

pith:X7UQXHSO

pith:2025:X7UQXHSOHHB3YSZZONWJPFHAQ2

not attested not anchored not stored refs pending

Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and $\alpha_\text{s}$

Andreas S. Kronfeld

arxiv:2505.20531 v1 · 2025-05-26 · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7UQXHSOHHB3YSZZONWJPFHAQ2}

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	2026-07-05T11:10:14.152726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe90b9e4e39c3bc4b39736c9794e0868ff8db57cbb0f7cf5c5a22e9bb6f3262

Aliases

arxiv: 2505.20531 · arxiv_version: 2505.20531v1 · doi: 10.48550/arxiv.2505.20531 · pith_short_12: X7UQXHSOHHB3 · pith_short_16: X7UQXHSOHHB3YSZZ · pith_short_8: X7UQXHSO

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/X7UQXHSOHHB3YSZZONWJPFHAQ2 \
  | 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: bfe90b9e4e39c3bc4b39736c9794e0868ff8db57cbb0f7cf5c5a22e9bb6f3262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69676a5e1945017b8921498ad266fff8a136233b2a4feb30678bfbce1c276c7a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-05-26T21:31:38Z",
    "title_canon_sha256": "5733672c873693dbcae025963bccf3210968f90014f65368da657b1be86c233a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.20531",
    "kind": "arxiv",
    "version": 1
  }
}