Pith Number

pith:45Q65KRS

pith:2010:45Q65KRSSYRRYMENCUX243BZZP

not attested not anchored not stored refs pending

The Operator Product Expansion Beyond Perturbation Theory in QCD

C. A. Dominguez

arxiv:1002.3707 v1 · 2010-02-19 · 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{45Q65KRSSYRRYMENCUX243BZZP}

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	2026-05-18T02:08:58.983590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e761eeaa3296231c308d152fae6c39cbd5ef4df7ed60e713d52baaa7652dfc05

Aliases

arxiv: 1002.3707 · arxiv_version: 1002.3707v1 · doi: 10.48550/arxiv.1002.3707 · pith_short_12: 45Q65KRSSYRR · pith_short_16: 45Q65KRSSYRRYMEN · pith_short_8: 45Q65KRS

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/45Q65KRSSYRRYMENCUX243BZZP \
  | 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: e761eeaa3296231c308d152fae6c39cbd5ef4df7ed60e713d52baaa7652dfc05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bea3e0a7c0fb7e305e7ff5f93cfee1badcf9624a71794cf1a2472e6e0b00ec7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-02-19T10:48:30Z",
    "title_canon_sha256": "c96eb12eb9a5462275a37a395adf4d159874be088990682aee8a040ebdbad749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3707",
    "kind": "arxiv",
    "version": 1
  }
}