Pith Number

pith:D7BVWW36

pith:2013:D7BVWW36KUQAQ2GYU5WXM7NUCR

not attested not anchored not stored refs pending

Decay of correlations in 1D lattice systems of continuous spins and long-range interaction

Georg Menz, Robin Nittka

arxiv:1309.0857 v1 · 2013-09-03 · math.PR · 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{D7BVWW36KUQAQ2GYU5WXM7NUCR}

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	2026-05-18T01:47:50.079767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fc35b5b7e55200868d8a76d767db4147f60b5cb3be28d2adb68ad6a66a51451

Aliases

arxiv: 1309.0857 · arxiv_version: 1309.0857v1 · doi: 10.48550/arxiv.1309.0857 · pith_short_12: D7BVWW36KUQA · pith_short_16: D7BVWW36KUQAQ2GY · pith_short_8: D7BVWW36

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/D7BVWW36KUQAQ2GYU5WXM7NUCR \
  | 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: 1fc35b5b7e55200868d8a76d767db4147f60b5cb3be28d2adb68ad6a66a51451

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb115db3ccd8d43e2ff6f774b4547586d5b85a955b024ff1f0ba0ca0d7b13094",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-03T22:50:32Z",
    "title_canon_sha256": "ed2227d6c9ac1d27f739772403b5e96e1122a45f291f5c3f1bf870651c332924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0857",
    "kind": "arxiv",
    "version": 1
  }
}