Pith Number

pith:32P5LXUF

pith:2012:32P5LXUFYRM67VRYYU33NP33VW

not attested not anchored not stored refs pending

Equilibrium Kawasaki dynamics and determinantal point processes

Eugene Lytvynov, Grigori Olshanski

arxiv:1210.1362 v1 · 2012-10-04 · 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{32P5LXUFYRM67VRYYU33NP33VW}

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	2026-05-18T03:44:03.813085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de9fd5de85c459efd638c537b6bf7bad9657039142cb67861117b54f11339f96

Aliases

arxiv: 1210.1362 · arxiv_version: 1210.1362v1 · doi: 10.48550/arxiv.1210.1362 · pith_short_12: 32P5LXUFYRM6 · pith_short_16: 32P5LXUFYRM67VRY · pith_short_8: 32P5LXUF

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/32P5LXUFYRM67VRYYU33NP33VW \
  | 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: de9fd5de85c459efd638c537b6bf7bad9657039142cb67861117b54f11339f96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86716190b20e4e946052327073400370d7ecfb070f2e833821d11b9eb5475646",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-04T09:58:52Z",
    "title_canon_sha256": "59c629cbb4415e93675cd8319e398d448e4c6660246f5304fcaa0d11b67ed032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1362",
    "kind": "arxiv",
    "version": 1
  }
}