Pith Number

pith:KZ5JLRLB

pith:2012:KZ5JLRLBFXBHDGDWUETHTHJT2U

not attested not anchored not stored refs pending

Dynkin operators, renormalization and the geometric $\beta$ function

Susama Agarwala

arxiv:1211.4466 v1 · 2012-11-19 · math-ph · hep-th · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZ5JLRLBFXBHDGDWUETHTHJT2U}

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	2026-05-18T03:40:26.805075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

567a95c5612dc2719876a126799d33d524b49edfb390bd9706ef4e3a42dfca0c

Aliases

arxiv: 1211.4466 · arxiv_version: 1211.4466v1 · doi: 10.48550/arxiv.1211.4466 · pith_short_12: KZ5JLRLBFXBH · pith_short_16: KZ5JLRLBFXBHDGDW · pith_short_8: KZ5JLRLB

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/KZ5JLRLBFXBHDGDWUETHTHJT2U \
  | 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: 567a95c5612dc2719876a126799d33d524b49edfb390bd9706ef4e3a42dfca0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "969a0e96009456fc460eb57791d4fe492b756033ae1a7c447528f0deef1db07f",
    "cross_cats_sorted": [
      "hep-th",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-19T15:41:20Z",
    "title_canon_sha256": "ca1c9ac513551ccba597f5312509ce0239ca562ef1acc1518b37b64c9d6067b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4466",
    "kind": "arxiv",
    "version": 1
  }
}