Pith Number

pith:2VCV6VMB

pith:2012:2VCV6VMBLXK5G7ALPDMS2XFPVE

not attested not anchored not stored refs pending

Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N

A. De Freitas, A. Hasselhuhn, C. Raab, C.Schneider, F. Wi{\ss}brock, J. Ablinger, J. Bl\"umlein, M. Round, S. Klein

arxiv:1212.6823 v2 · 2012-12-31 · hep-ph · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VCV6VMBLXK5G7ALPDMS2XFPVE}

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	2026-05-18T01:09:26.119392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5455f55815dd5d37c0b78d92d5cafa92656b10085a6c97eb0dc4ca8f0da251d

Aliases

arxiv: 1212.6823 · arxiv_version: 1212.6823v2 · doi: 10.48550/arxiv.1212.6823 · pith_short_12: 2VCV6VMBLXK5 · pith_short_16: 2VCV6VMBLXK5G7AL · pith_short_8: 2VCV6VMB

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/2VCV6VMBLXK5G7ALPDMS2XFPVE \
  | 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: d5455f55815dd5d37c0b78d92d5cafa92656b10085a6c97eb0dc4ca8f0da251d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3797954ee52e01800ff76086e6196b19223152d922357c8966b215c7dfae837",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-12-31T05:36:16Z",
    "title_canon_sha256": "802edf22e7897df68b71ad04e884d5f0766963abfc95059b82825b15d253a517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6823",
    "kind": "arxiv",
    "version": 2
  }
}