Pith Number

pith:ZNAHHVBV

pith:2016:ZNAHHVBVQ7SAXANMWHIGCQRKFZ

not attested not anchored not stored refs pending

Analytic results for planar three-loop integrals for massive form factors

Alexander V. Smirnov, Johannes M. Henn, Vladimir A. Smirnov

arxiv:1611.06523 v1 · 2016-11-20 · 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{ZNAHHVBVQ7SAXANMWHIGCQRKFZ}

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

1 paper in Pith

The Fate of Ultra-Collinear Modes in On-Shell Massive Sudakov Form Factors

Receipt and verification

First computed	2026-05-18T00:51:42.188821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb4073d43587e40b81acb1d061422a2e57168400b73d4695c1690836884758b6

Aliases

arxiv: 1611.06523 · arxiv_version: 1611.06523v1 · doi: 10.48550/arxiv.1611.06523 · pith_short_12: ZNAHHVBVQ7SA · pith_short_16: ZNAHHVBVQ7SAXANM · pith_short_8: ZNAHHVBV

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/ZNAHHVBVQ7SAXANMWHIGCQRKFZ \
  | 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: cb4073d43587e40b81acb1d061422a2e57168400b73d4695c1690836884758b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27447272d69064d2afc661164cd5cfcaca832298c165398ae68086cf1c55136e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-11-20T15:02:23Z",
    "title_canon_sha256": "ecc7f582b39fe5040d5f6639e3408121a881ae2e617f78d63c63771aafca5b9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06523",
    "kind": "arxiv",
    "version": 1
  }
}