Pith Number

pith:Q2SQUWRI

pith:2008:Q2SQUWRII54TIILYJY77X44WXU

not attested not anchored not stored refs pending

Difference operators and determinantal point processes

Grigori Olshanski

arxiv:0810.3751 v1 · 2008-10-21 · 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{Q2SQUWRII54TIILYJY77X44WXU}

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	2026-05-18T03:32:08.346182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86a50a5a2847793421784e3ffbf396bd19b0b98ac4d8a6f58d65b22dc4606149

Aliases

arxiv: 0810.3751 · arxiv_version: 0810.3751v1 · doi: 10.48550/arxiv.0810.3751 · pith_short_12: Q2SQUWRII54T · pith_short_16: Q2SQUWRII54TIILY · pith_short_8: Q2SQUWRI

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/Q2SQUWRII54TIILYJY77X44WXU \
  | 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: 86a50a5a2847793421784e3ffbf396bd19b0b98ac4d8a6f58d65b22dc4606149

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3493f19e3da6eb474f82486f7ad664d4377749c1c88d2555e88d094ea22cef29",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-10-21T06:13:22Z",
    "title_canon_sha256": "0556a16590c07763f35b9a4e8a6687400425c45bdf601823697090a07b01a6e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3751",
    "kind": "arxiv",
    "version": 1
  }
}