Pith Number

pith:GUO52CNI

pith:2017:GUO52CNIU3IVAL2A5OPBO7F3ZG

not attested not anchored not stored refs pending

A general renormalization procedure on the one-dimensional lattice and decay of correlations

Artur O. Lopes

arxiv:1701.07656 v3 · 2017-01-26 · math.DS · cond-mat.stat-mech · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUO52CNIU3IVAL2A5OPBO7F3ZG}

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	2026-05-18T00:28:16.214534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

351ddd09a8a6d1502f40eb9e177cbbc9bfa49a1d56204ab660e8a22d869f4e68

Aliases

arxiv: 1701.07656 · arxiv_version: 1701.07656v3 · doi: 10.48550/arxiv.1701.07656 · pith_short_12: GUO52CNIU3IV · pith_short_16: GUO52CNIU3IVAL2A · pith_short_8: GUO52CNI

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/GUO52CNIU3IVAL2A5OPBO7F3ZG \
  | 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: 351ddd09a8a6d1502f40eb9e177cbbc9bfa49a1d56204ab660e8a22d869f4e68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dec3b7ceef8533a34359a15597046baf5307ce117c33127703d3de1636b73d9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-01-26T11:17:26Z",
    "title_canon_sha256": "eede71bbba49431df9bd3d4132331c5fa070a011ca0dc92dad7f119c2daa2a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07656",
    "kind": "arxiv",
    "version": 3
  }
}