Pith Number

pith:V3NF4MMB

pith:2025:V3NF4MMBFKEB5R62ZTIICHALL6

not attested not anchored not stored refs pending

Three loop master integrals for ${\mathcal{O}} (\alpha \alpha_s^2)$ corrections to quark form factor

Narayan Rana, Tanmoy Pati

arxiv:2506.15363 v1 · 2025-06-18 · 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{V3NF4MMBFKEB5R62ZTIICHALL6}

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

2 papers in Pith

Renormalization of axial anomaly in SU(N)$\times$U(1)

Three loop QCD corrections to electroweak radiative parameters

Receipt and verification

First computed	2026-07-05T11:23:41.917539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeda5e31812a881ec7daccd0811c0b5f8a041897db6c242e8548f5e0cd7a7225

Aliases

arxiv: 2506.15363 · arxiv_version: 2506.15363v1 · doi: 10.48550/arxiv.2506.15363 · pith_short_12: V3NF4MMBFKEB · pith_short_16: V3NF4MMBFKEB5R62 · pith_short_8: V3NF4MMB

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/V3NF4MMBFKEB5R62ZTIICHALL6 \
  | 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: aeda5e31812a881ec7daccd0811c0b5f8a041897db6c242e8548f5e0cd7a7225

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c262fc1653bf9900d78fc8b8fc0579b54069604017ac1426340cd9d2ef63a47",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-06-18T11:29:35Z",
    "title_canon_sha256": "c6d5e6204647b9ae02cc5633387a5ac6da46b9446434db30505a2e272acdcf92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15363",
    "kind": "arxiv",
    "version": 1
  }
}