Pith. sign in
Pith Number

pith:4OZ3ZLPN

pith:2018:4OZ3ZLPNJNDOANNED3JTHIER6V
not attested not anchored not stored refs pending

The renormalization group equations revisited

Jean-Fran\c{c}ois Mathiot

arxiv:1810.04933 v1 · 2018-10-11 · hep-th · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4OZ3ZLPNJNDOANNED3JTHIER6V}

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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

Receipt and verification
First computed 2026-05-18T00:03:35.456726Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e3b3bcaded4b46e035a41ed333a091f5542d1439c89504d07ff4be453d03ffb7

Aliases

arxiv: 1810.04933 · arxiv_version: 1810.04933v1 · doi: 10.48550/arxiv.1810.04933 · pith_short_12: 4OZ3ZLPNJNDO · pith_short_16: 4OZ3ZLPNJNDOANNE · pith_short_8: 4OZ3ZLPN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4OZ3ZLPNJNDOANNED3JTHIER6V \
  | 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: e3b3bcaded4b46e035a41ed333a091f5542d1439c89504d07ff4be453d03ffb7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6db1fdab38f7a2edeb9870c8c0ec8e7ec30a10f7f752cdf65ca5ebf33b1db4f3",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-10-11T09:46:59Z",
    "title_canon_sha256": "f44cb8eb8032640cd361b41cbe00d3444c37657c33f85bb2f98ec012533227ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04933",
    "kind": "arxiv",
    "version": 1
  }
}