Pith Number

pith:S7XVGF2Y

pith:2001:S7XVGF2YWWLU6JWOE7W4Y5IIGU

not attested not anchored not stored refs pending

Lectures on the functional renormalization group method

Janos Polonyi

arxiv:hep-th/0110026 v2 · 2001-10-02 · hep-th · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7XVGF2YWWLU6JWOE7W4Y5IIGU}

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

The OPE Approach to Renormalization: Operator Mixing

Receipt and verification

First computed	2026-05-18T04:17:36.570047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ef531758b5974f26ce27edcc7508353e1b0f7b690a8dbb906d57c40719df89

Aliases

arxiv: hep-th/0110026 · arxiv_version: hep-th/0110026v2 · doi: 10.48550/arxiv.hep-th/0110026 · pith_short_12: S7XVGF2YWWLU · pith_short_16: S7XVGF2YWWLU6JWO · pith_short_8: S7XVGF2Y

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/S7XVGF2YWWLU6JWOE7W4Y5IIGU \
  | 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: 97ef531758b5974f26ce27edcc7508353e1b0f7b690a8dbb906d57c40719df89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11404fd5a366226bd7313d066db9d3af2c3282541097fc171e8fc760208e8289",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-10-02T13:39:48Z",
    "title_canon_sha256": "e569f4eb0970268232ad0b09853be52133d44b449f707b8564bdc4bd8586dacb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0110026",
    "kind": "arxiv",
    "version": 2
  }
}