Pith Number

pith:JZ2BFYMA

pith:2015:JZ2BFYMA4DJPZZ6PXMH6MDI5FN

not attested not anchored not stored refs pending

The Polyakov loop at next-to-next-to leading order

Antonio Vairo, Matthias Berwein, Nora Brambilla, Peter Petreczky

arxiv:1512.08443 v2 · 2015-12-28 · hep-ph · hep-lat · hep-th · nucl-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{JZ2BFYMA4DJPZZ6PXMH6MDI5FN}

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	2026-05-18T01:20:32.515726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e7412e180e0d2fce7cfbb0fe60d1d2b7ca47e60065b1699837b74f40ba04f73

Aliases

arxiv: 1512.08443 · arxiv_version: 1512.08443v2 · doi: 10.48550/arxiv.1512.08443 · pith_short_12: JZ2BFYMA4DJP · pith_short_16: JZ2BFYMA4DJPZZ6P · pith_short_8: JZ2BFYMA

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/JZ2BFYMA4DJPZZ6PXMH6MDI5FN \
  | 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: 4e7412e180e0d2fce7cfbb0fe60d1d2b7ca47e60065b1699837b74f40ba04f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69731b14f5f77047b1ac9709e12bfaf440402895656ea45de99e2d1f268c096c",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-12-28T16:20:33Z",
    "title_canon_sha256": "cea33ed44476a69371ff4b546e1f75dc25138156f1c60d96fb12f8ea80df7218"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08443",
    "kind": "arxiv",
    "version": 2
  }
}