Pith Number

pith:PWSRNVII

pith:2013:PWSRNVII7HCITHKWH3UKLC7PDK

not attested not anchored not stored refs pending

Markov Approximations of Gibbs measures for long-range potentials on 1D lattices

Cesar Maldonado, Raul Salgado-Garcia

arxiv:1306.6104 v1 · 2013-06-25 · 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{PWSRNVII7HCITHKWH3UKLC7PDK}

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	2026-05-18T00:56:51.775524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7da516d508f9c4899d563ee8a58bef1aa16b94d671c9d25ac8c4178d23ce5d85

Aliases

arxiv: 1306.6104 · arxiv_version: 1306.6104v1 · doi: 10.48550/arxiv.1306.6104 · pith_short_12: PWSRNVII7HCI · pith_short_16: PWSRNVII7HCITHKW · pith_short_8: PWSRNVII

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/PWSRNVII7HCITHKWH3UKLC7PDK \
  | 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: 7da516d508f9c4899d563ee8a58bef1aa16b94d671c9d25ac8c4178d23ce5d85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8179f82f5cac8fda794a6ce9776f408f74b23e8802b7cf52b2dabd505ac4cd4",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-25T23:24:12Z",
    "title_canon_sha256": "8617f1fb6b11944adde6a31538b90a9da32db9bf1667e42c54bf80ac594e362f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6104",
    "kind": "arxiv",
    "version": 1
  }
}