Pith Number

pith:XHCAPBZ2

pith:2015:XHCAPBZ2HEN7NE2ULRS74PLZLY

not attested not anchored not stored refs pending

A low-energy determination of $\alpha_s$ at three loops

Antonio Vairo

arxiv:1512.07571 v1 · 2015-12-23 · hep-ph · hep-lat

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHCAPBZ2HEN7NE2ULRS74PLZLY}

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.

Cited by

1 paper in Pith

Wilson loops with neural networks

Receipt and verification

First computed	2026-05-18T00:57:31.653918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9c407873a391bf693545c65fe3d795e2bc5e63132aeca466fb54d3fb9839e4e

Aliases

arxiv: 1512.07571 · arxiv_version: 1512.07571v1 · doi: 10.48550/arxiv.1512.07571 · pith_short_12: XHCAPBZ2HEN7 · pith_short_16: XHCAPBZ2HEN7NE2U · pith_short_8: XHCAPBZ2

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/XHCAPBZ2HEN7NE2ULRS74PLZLY \
  | 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: b9c407873a391bf693545c65fe3d795e2bc5e63132aeca466fb54d3fb9839e4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c26bc061cbb3763bde3d16888d83bb84ada4cbe5a9828d9e962f3c43f4996e2a",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-12-23T18:22:53Z",
    "title_canon_sha256": "972799081e4dfad70750ad0851f090bf7b8e9e07690bf7d3579dc07d0dd7f058"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07571",
    "kind": "arxiv",
    "version": 1
  }
}