Pith Number

pith:WBPMSSKV

pith:2012:WBPMSSKVPMYQXYAKCHVZPGLR56

not attested not anchored not stored refs pending

Hopf algebraic Renormalization of Kreimer's toy model

Erik Panzer

arxiv:1202.3552 v1 · 2012-02-16 · math.QA · hep-th · math-ph · 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{WBPMSSKVPMYQXYAKCHVZPGLR56}

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

2 papers in Pith

Tropicalized quantum field theory and global tropical sampling

Graphical Functions by Examples

Receipt and verification

First computed	2026-05-18T04:02:12.889599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b05ec949557b310be00a11eb979971efabb9c21ec1949e7bdc094edc76c6ec02

Aliases

arxiv: 1202.3552 · arxiv_version: 1202.3552v1 · doi: 10.48550/arxiv.1202.3552 · pith_short_12: WBPMSSKVPMYQ · pith_short_16: WBPMSSKVPMYQXYAK · pith_short_8: WBPMSSKV

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/WBPMSSKVPMYQXYAKCHVZPGLR56 \
  | 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: b05ec949557b310be00a11eb979971efabb9c21ec1949e7bdc094edc76c6ec02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "936e605ce7519a90d2d354039c1f9232e1d4590580675b7d058bd226e1ff5604",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-02-16T10:07:05Z",
    "title_canon_sha256": "db345697be2f0024f8e4f47ef47cadeab29ece41338a4b0874dea2d866e10c28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3552",
    "kind": "arxiv",
    "version": 1
  }
}