Pith Number

pith:T7CUNO2Z

pith:2005:T7CUNO2ZUBR6326UZEW75HXZOP

not attested not anchored not stored refs pending

Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology

Christoph Bergbauer, Dirk Kreimer

arxiv:hep-th/0506190 v2 · 2005-06-22 · hep-th · 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{T7CUNO2ZUBR6326UZEW75HXZOP}

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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

The algebraic structure of Dyson--Schwinger equations with multiple insertion places

Receipt and verification

First computed	2026-07-04T14:50:05.397709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc546bb59a063edebd4c92dfe9ef973eb484059485cfa3b295d1f55e1bd06fd

Aliases

arxiv: hep-th/0506190 · arxiv_version: hep-th/0506190v2 · doi: 10.48550/arxiv.hep-th/0506190 · pith_short_12: T7CUNO2ZUBR6 · pith_short_16: T7CUNO2ZUBR6326U · pith_short_8: T7CUNO2Z

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/T7CUNO2ZUBR6326UZEW75HXZOP \
  | 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: 9fc546bb59a063edebd4c92dfe9ef973eb484059485cfa3b295d1f55e1bd06fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8292fc0982f7138aafc5222f9f057fc1d3eb5ce2db23dce120e44840c3acdd6d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-06-22T16:23:56Z",
    "title_canon_sha256": "c70d07745c0bb2a616e9bbb54a51784cce68ea3ea703ecdf646622c126a4500f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0506190",
    "kind": "arxiv",
    "version": 2
  }
}