Pith Number

pith:XDAPVJDJ

pith:2000:XDAPVJDJT2OYXXNDWAQVXYIZOQ

not attested not anchored not stored refs pending

Renormalization in quantum field theory and the Riemann-Hilbert problem II: the $\beta$-function, diffeomorphisms and the renormalization group

Alain Connes, Dirk Kreimer

arxiv:hep-th/0003188 v1 · 2000-03-21 · hep-th · hep-ph · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDAPVJDJT2OYXXNDWAQVXYIZOQ}

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

1 paper in Pith

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

Receipt and verification

First computed	2026-07-04T16:20:42.064265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c0faa4699e9d8bdda3b0215be119741cbe1c16c3e263140ee854b738cd8ed8

Aliases

arxiv: hep-th/0003188 · arxiv_version: hep-th/0003188v1 · doi: 10.48550/arxiv.hep-th/0003188 · pith_short_12: XDAPVJDJT2OY · pith_short_16: XDAPVJDJT2OYXXND · pith_short_8: XDAPVJDJ

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/XDAPVJDJT2OYXXNDWAQVXYIZOQ \
  | 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: b8c0faa4699e9d8bdda3b0215be119741cbe1c16c3e263140ee854b738cd8ed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a079ee2fe337ddb197aceb9337b7f62fda212f99efdcea35d93deb2ccca8ff1",
    "cross_cats_sorted": [
      "hep-ph",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-03-21T22:19:39Z",
    "title_canon_sha256": "aa8fdae8ea8d499ba99439af0020a3e91696d062fb97dbc2d1a49cb5179b7217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0003188",
    "kind": "arxiv",
    "version": 1
  }
}