Pith Number

pith:OGRMHNR2

pith:2025:OGRMHNR2LB75KDUYHW7G6XBC5Q

not attested not anchored not stored refs pending

All planar three-loop Feynman integrals for the production of two vector bosons at hadron colliders

Dhimiter Canko, Mattia Pozzoli

arxiv:2512.02999 v3 · 2025-12-02 · 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{OGRMHNR2LB75KDUYHW7G6XBC5Q}

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	2026-05-27T01:05:40.541337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71a2c3b63a587fd50e983dbe6f5c22ec0e6e0dace426b1b844b60aa294f173e1

Aliases

arxiv: 2512.02999 · arxiv_version: 2512.02999v3 · doi: 10.48550/arxiv.2512.02999 · pith_short_12: OGRMHNR2LB75 · pith_short_16: OGRMHNR2LB75KDUY · pith_short_8: OGRMHNR2

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/OGRMHNR2LB75KDUYHW7G6XBC5Q \
  | 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: 71a2c3b63a587fd50e983dbe6f5c22ec0e6e0dace426b1b844b60aa294f173e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d15ca81b9562e26febd283f2f863d19ad28e1d1ece68276d1d999f8a693ee12d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2025-12-02T18:23:01Z",
    "title_canon_sha256": "3b413e2a2804790e477b11d8562288740ee66383f8606e66211def623337f5a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.02999",
    "kind": "arxiv",
    "version": 3
  }
}