Pith Number

pith:4GX5A2TU

pith:2014:4GX5A2TUW4DT6PSM5RLV3PO4D5

not attested not anchored not stored refs pending

Non-global Logarithms at 3 Loops, 4 Loops, 5 Loops and Beyond

Hua Xing Zhu, Matthew D. Schwartz

arxiv:1403.4949 v2 · 2014-03-19 · hep-ph · hep-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{4GX5A2TUW4DT6PSM5RLV3PO4D5}

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	2026-05-18T02:43:16.158930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1afd06a74b7073f3e4cec575dbddc1f776d2420d590dc9966b84ab910cd92fd

Aliases

arxiv: 1403.4949 · arxiv_version: 1403.4949v2 · doi: 10.48550/arxiv.1403.4949 · pith_short_12: 4GX5A2TUW4DT · pith_short_16: 4GX5A2TUW4DT6PSM · pith_short_8: 4GX5A2TU

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/4GX5A2TUW4DT6PSM5RLV3PO4D5 \
  | 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: e1afd06a74b7073f3e4cec575dbddc1f776d2420d590dc9966b84ab910cd92fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f1138a3c5b1c30440453f0847724198a79cf0069a478dd229fe43b5a8b2493d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2014-03-19T20:01:05Z",
    "title_canon_sha256": "41ba3f8254ce9f2c8f6fd57cb8a0ceaea3558cfc860ecdee5915745253c89d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4949",
    "kind": "arxiv",
    "version": 2
  }
}