Pith Number

pith:B6D4MCUJ

pith:2009:B6D4MCUJB4FK5CIHD7MVP3VGDU

not attested not anchored not stored refs pending

Matter Dependence of the Three-Loop Soft Anomalous Dimension Matrix

Lance J. Dixon

arxiv:0901.3414 v2 · 2009-01-22 · 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{B6D4MCUJB4FK5CIHD7MVP3VGDU}

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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

Two-loop helicity amplitudes for diphoton production with massive quark loop

Receipt and verification

First computed	2026-07-04T16:01:50.468040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f87c60a890f0aae89071fd957eea61d3d9cfe51f0a2f85649865a41b166c967

Aliases

arxiv: 0901.3414 · arxiv_version: 0901.3414v2 · doi: 10.48550/arxiv.0901.3414 · pith_short_12: B6D4MCUJB4FK · pith_short_16: B6D4MCUJB4FK5CIH · pith_short_8: B6D4MCUJ

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/B6D4MCUJB4FK5CIHD7MVP3VGDU \
  | 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: 0f87c60a890f0aae89071fd957eea61d3d9cfe51f0a2f85649865a41b166c967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34d9428f931680b0c6bdb2897e6f6ccf1b6b844b9ee546e759903eae88c6ebc",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2009-01-22T17:48:35Z",
    "title_canon_sha256": "3204f337449168f24f20e6450f81a1f52bf9d4482ab3c3079af594bb2da2c378"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3414",
    "kind": "arxiv",
    "version": 2
  }
}