Pith Number

pith:4W5OOLEG

pith:2016:4W5OOLEGGZ36DLFN5FPONCFSDU

not attested not anchored not stored refs pending

On the Ornstein-Zernike equation for stationary cluster processes and the random connection model

G\"unter Last, Sebastian Ziesche

arxiv:1607.02962 v1 · 2016-07-11 · 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{4W5OOLEGGZ36DLFN5FPONCFSDU}

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	2026-05-18T01:11:14.293305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5bae72c863677e1acade95ee688b21d2483a646b6f6924c6f3d6f09795de4b9

Aliases

arxiv: 1607.02962 · arxiv_version: 1607.02962v1 · doi: 10.48550/arxiv.1607.02962 · pith_short_12: 4W5OOLEGGZ36 · pith_short_16: 4W5OOLEGGZ36DLFN · pith_short_8: 4W5OOLEG

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/4W5OOLEGGZ36DLFN5FPONCFSDU \
  | 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: e5bae72c863677e1acade95ee688b21d2483a646b6f6924c6f3d6f09795de4b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2674b7a5a5c3d0011401ecef3e59df9156ee26e2646cd354079eea96612a970",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-11T14:08:09Z",
    "title_canon_sha256": "e27f7c5d25a23837ec3ceb57852925d03b0dac01ac84458a2e1fa0f852bbb1cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02962",
    "kind": "arxiv",
    "version": 1
  }
}