Pith Number

pith:OOGD3D3D

pith:2015:OOGD3D3DHHUELF7LXQUAPMPFXR

not attested not anchored not stored refs pending

Weak dependence for a class of local functionals of Markov chains on $\mathbb{Z}^d$

Antonella Marchesiello, Carlo Boldrighini, Chiara Saffirio

arxiv:1501.07486 v3 · 2015-01-29 · 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{OOGD3D3DHHUELF7LXQUAPMPFXR}

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	2026-05-18T01:36:03.784993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

738c3d8f6339e84597ebbc2807b1e5bc4c11f21ddd4a94893354f031ef5e9792

Aliases

arxiv: 1501.07486 · arxiv_version: 1501.07486v3 · doi: 10.48550/arxiv.1501.07486 · pith_short_12: OOGD3D3DHHUE · pith_short_16: OOGD3D3DHHUELF7L · pith_short_8: OOGD3D3D

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/OOGD3D3DHHUELF7LXQUAPMPFXR \
  | 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: 738c3d8f6339e84597ebbc2807b1e5bc4c11f21ddd4a94893354f031ef5e9792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb3522bba285d856e3bb64155a9ad61a94429a01fa94762166d3fee4871dd2a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-29T15:42:52Z",
    "title_canon_sha256": "34c2673ba4e079c83040f4fc0b6bb0b61080fa62f861e136eca9af3c3326f03e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07486",
    "kind": "arxiv",
    "version": 3
  }
}