Pith Number

pith:U5UZEOCH

pith:2016:U5UZEOCHM6ZFKCOWCWTUQWERFM

not attested not anchored not stored refs pending

Deviation pattern approach for optimizing perturbative terms of QCD renormalization group invariant observables

A. Mirjalili, M. Khellat

arxiv:1611.03817 v2 · 2016-11-11 · 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{U5UZEOCHM6ZFKCOWCWTUQWERFM}

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	2026-05-18T00:45:45.517778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76992384767b25509d615a74858912b0b6043a3b22b75abbd363faffe82d28f

Aliases

arxiv: 1611.03817 · arxiv_version: 1611.03817v2 · doi: 10.48550/arxiv.1611.03817 · pith_short_12: U5UZEOCHM6ZF · pith_short_16: U5UZEOCHM6ZFKCOW · pith_short_8: U5UZEOCH

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/U5UZEOCHM6ZFKCOWCWTUQWERFM \
  | 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: a76992384767b25509d615a74858912b0b6043a3b22b75abbd363faffe82d28f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac13175c0c5daf20b6e1ac8b018294e9578450ce4f972c4d0d5044e4b5145a77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2016-11-11T19:04:59Z",
    "title_canon_sha256": "77f14bc58eb1baf56ab15944b694bbba26ce935d40b47cb7010c3ee3bf7be136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03817",
    "kind": "arxiv",
    "version": 2
  }
}