Pith Number

pith:F76ODDJU

pith:2017:F76ODDJUG6XWTV5XEAQCUAMTIP

not attested not anchored not stored refs pending

Three Loop Massive Operator Matrix Elements and Asymptotic Wilson Coefficients with Two Different Masses

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

arxiv:1705.07030 v1 · 2017-05-19 · hep-ph · hep-ex · 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{F76ODDJUG6XWTV5XEAQCUAMTIP}

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	2026-05-18T00:37:01.395197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ffce18d3437af69d7b720202a019343dfcf1dae3504eb03f9050da57d38c602

Aliases

arxiv: 1705.07030 · arxiv_version: 1705.07030v1 · doi: 10.48550/arxiv.1705.07030 · pith_short_12: F76ODDJUG6XW · pith_short_16: F76ODDJUG6XWTV5X · pith_short_8: F76ODDJU

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/F76ODDJUG6XWTV5XEAQCUAMTIP \
  | 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: 2ffce18d3437af69d7b720202a019343dfcf1dae3504eb03f9050da57d38c602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c060f09a143d73b246001808c348e7ef1b688a84b59be98112db449a54d50a9d",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-05-19T14:49:33Z",
    "title_canon_sha256": "bec28134bad0ba67ea52bfbd6996b398670325d88bcfbe2b938c7fba18ba27d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07030",
    "kind": "arxiv",
    "version": 1
  }
}