Pith Number

pith:YP7GAYHZ

pith:2026:YP7GAYHZWSWD2T5QHE43Z4YUME

not attested not anchored not stored refs pending

NNLO soft functions for heavy-quark pair production at hadron colliders

Alessandro Broggio, Guido Bell, Matthew A. Lim, Rudi Rahn, Sebastian Edelmann

arxiv:2608.09621 v1 · 2026-08-10 · 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{YP7GAYHZWSWD2T5QHE43Z4YUME}

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	2026-08-11T02:24:38.228429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3fe6060f9b4ac3d4fb03939bcf31461215ba79ef43e78761dda557c623492b3

Aliases

arxiv: 2608.09621 · arxiv_version: 2608.09621v1 · doi: 10.48550/arxiv.2608.09621 · pith_short_12: YP7GAYHZWSWD · pith_short_16: YP7GAYHZWSWD2T5Q · pith_short_8: YP7GAYHZ

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/YP7GAYHZWSWD2T5QHE43Z4YUME \
  | 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: c3fe6060f9b4ac3d4fb03939bcf31461215ba79ef43e78761dda557c623492b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c605b95c15ce4afe8eebce9790a7e18860267029986b94435f5e2980dc73d6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-08-10T14:02:12Z",
    "title_canon_sha256": "dda2ed68e8e6374003b306fe81e9929f7022add94d59c89c9356e326f99eb928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09621",
    "kind": "arxiv",
    "version": 1
  }
}