Pith Number

pith:BVLIOG3F

pith:2009:BVLIOG3FWPQ4YONJSQ4VKCLCA3

not attested not anchored not stored refs pending

Nine-Propagator Master Integrals for Massless Three-Loop Form Factors

D. A. Kosower, G. Heinrich, T. Huber, V. A. Smirnov

arxiv:0902.3512 v2 · 2009-02-20 · 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{BVLIOG3FWPQ4YONJSQ4VKCLCA3}

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	2026-07-04T15:46:45.193268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d56871b65b3e1cc39a9943955096206da13290c6edef613a8460e8ec4d030e4

Aliases

arxiv: 0902.3512 · arxiv_version: 0902.3512v2 · doi: 10.48550/arxiv.0902.3512 · pith_short_12: BVLIOG3FWPQ4 · pith_short_16: BVLIOG3FWPQ4YONJ · pith_short_8: BVLIOG3F

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/BVLIOG3FWPQ4YONJSQ4VKCLCA3 \
  | 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: 0d56871b65b3e1cc39a9943955096206da13290c6edef613a8460e8ec4d030e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "179c17f914248e5fb729ac0c2ad19b2ff0ad2a7f4f2e3016ebf9f3a97eafb081",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-02-20T07:48:54Z",
    "title_canon_sha256": "1bc91a8f44efe0ee529dc8ef3697a3e5c2b6b3470e9b1b59178983681cbd72af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3512",
    "kind": "arxiv",
    "version": 2
  }
}