Pith Number

pith:X6OIPCWX

pith:2011:X6OIPCWX7HL77DADMF6TN4FFKM

not attested not anchored not stored refs pending

Two-loop operator matrix elements for massive fermionic local twist-2 operators in QED

A. De Freitas, J. Bl\"umlein, W. L. van Neerven

arxiv:1111.6480 v1 · 2011-11-28 · 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{X6OIPCWX7HL77DADMF6TN4FFKM}

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	2026-05-18T04:07:29.815026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf9c878ad7f9d7ff8c03617d36f0a55307a64e4699f1b0db137d41e3b33dab1f

Aliases

arxiv: 1111.6480 · arxiv_version: 1111.6480v1 · doi: 10.48550/arxiv.1111.6480 · pith_short_12: X6OIPCWX7HL7 · pith_short_16: X6OIPCWX7HL77DAD · pith_short_8: X6OIPCWX

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/X6OIPCWX7HL77DADMF6TN4FFKM \
  | 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: bf9c878ad7f9d7ff8c03617d36f0a55307a64e4699f1b0db137d41e3b33dab1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39192cfaa332d83798e1826cd47cd41c4000bccf2e4ec954854c4093f58b20bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-11-28T15:52:21Z",
    "title_canon_sha256": "49294f791f17116e06ea129b15a37daf37df232a4d570bbf29f94b387d649ca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6480",
    "kind": "arxiv",
    "version": 1
  }
}