Pith Number

pith:4AV4ZVPY

pith:2000:4AV4ZVPYJFHKFHYU6E2XPTNHSZ

not attested not anchored not stored refs pending

Interplay of the Scaling Limit and the Renormalization Group: Implications for Symmetry Restoration

Andreas W. W. Ludwig, Hubert Saleur, Robert M. Konik

arxiv:cond-mat/0009166 v1 · 2000-09-12 · cond-mat.str-el · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AV4ZVPYJFHKFHYU6E2XPTNHSZ}

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	2026-05-18T03:24:40.194182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02bccd5f8494ea29f14f13577cda7967f9b72cd66047d3edaf9f2320392a2d4

Aliases

arxiv: cond-mat/0009166 · arxiv_version: cond-mat/0009166v1 · doi: 10.48550/arxiv.cond-mat/0009166 · pith_short_12: 4AV4ZVPYJFHK · pith_short_16: 4AV4ZVPYJFHKFHYU · pith_short_8: 4AV4ZVPY

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/4AV4ZVPYJFHKFHYU6E2XPTNHSZ \
  | 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: e02bccd5f8494ea29f14f13577cda7967f9b72cd66047d3edaf9f2320392a2d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e387da93d806ae1388a5f3bb6d01b3ec21d7e6cf45e4194e81f3b80bbe23b80b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2000-09-12T01:04:53Z",
    "title_canon_sha256": "e511de3e2d5832a71ea4893fb20a46249e64d758f38efdcc25b3f46828c82da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0009166",
    "kind": "arxiv",
    "version": 1
  }
}