Pith Number

pith:W2BOLHN7

pith:2009:W2BOLHN7MFKE73A3QRE3WLKN7Z

not attested not anchored not stored refs pending

Zero-temperature limit of one-dimensional Gibbs states via renormalization: the case of locally constant potentials

E. Ugalde, J.-M. Gambaudo, J.-R. Chazottes

arxiv:0903.1212 v3 · 2009-03-06 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2BOLHN7MFKE73A3QRE3WLKN7Z}

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	2026-05-18T04:12:45.017172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b682e59dbf61544fec1b8449bb2d4dfe46b5aa3cf25e6eb21cca667cc9e3baba

Aliases

arxiv: 0903.1212 · arxiv_version: 0903.1212v3 · doi: 10.48550/arxiv.0903.1212 · pith_short_12: W2BOLHN7MFKE · pith_short_16: W2BOLHN7MFKE73A3 · pith_short_8: W2BOLHN7

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/W2BOLHN7MFKE73A3QRE3WLKN7Z \
  | 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: b682e59dbf61544fec1b8449bb2d4dfe46b5aa3cf25e6eb21cca667cc9e3baba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "263145a35ba8ebc208c343c1df5a693ff07e5dd064a54d3ee41306c0f669f891",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-03-06T14:06:30Z",
    "title_canon_sha256": "10f2e06cd541db3fde4d90498a710c00958aa874de670ccac5e8a27ff0609983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1212",
    "kind": "arxiv",
    "version": 3
  }
}