Pith Number

pith:OP7UGNSC

pith:2017:OP7UGNSCRXOJV3OWLXCWKGRWNX

not attested not anchored not stored refs pending

The Three Loop Two-Mass Contribution to the Gluon Vacuum Polarization

A. De Freitas, C. Schneider, J. Bl\"umlein, K. Sch\"onwald

arxiv:1710.04500 v1 · 2017-10-12 · 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{OP7UGNSCRXOJV3OWLXCWKGRWNX}

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	2026-05-18T00:33:00.841143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ff4336428ddc9aedd65dc5651a366df5168a5032cd1dbefe53978964441614

Aliases

arxiv: 1710.04500 · arxiv_version: 1710.04500v1 · doi: 10.48550/arxiv.1710.04500 · pith_short_12: OP7UGNSCRXOJ · pith_short_16: OP7UGNSCRXOJV3OW · pith_short_8: OP7UGNSC

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/OP7UGNSCRXOJV3OWLXCWKGRWNX \
  | 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: 73ff4336428ddc9aedd65dc5651a366df5168a5032cd1dbefe53978964441614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1441b5e7ab691de398a7c7f815dd3f36351e97f514cd8e9bf44a5f8828097f1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-10-12T13:28:53Z",
    "title_canon_sha256": "c545b48ce15c505d3a68832a0dd72ed72a69aa4ea8cb54ca8add3b60fc7d9c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04500",
    "kind": "arxiv",
    "version": 1
  }
}