Pith Number

pith:NDZEVXWF

pith:2011:NDZEVXWFPYZTEA4U4QENF2BR6P

not attested not anchored not stored refs pending

Stochastic integration for a wide class of Gaussian stationary increment processes using an extension of the S-transform

Alon Kipnis, Daniel Alpay

arxiv:1109.1099 v3 · 2011-09-06 · 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{NDZEVXWFPYZTEA4U4QENF2BR6P}

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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	2026-05-18T04:02:52.587418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f24adec57e33320394e408d2e831f3d2128a5e0c497f497628ff71269c834a

Aliases

arxiv: 1109.1099 · arxiv_version: 1109.1099v3 · doi: 10.48550/arxiv.1109.1099 · pith_short_12: NDZEVXWFPYZT · pith_short_16: NDZEVXWFPYZTEA4U · pith_short_8: NDZEVXWF

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/NDZEVXWFPYZTEA4U4QENF2BR6P \
  | 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: 68f24adec57e33320394e408d2e831f3d2128a5e0c497f497628ff71269c834a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aac399059f86445b77062d4d851a25d3d6ac88d54407a14c7ac9edacee4cae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-06T07:41:10Z",
    "title_canon_sha256": "435a2a3cba19d60314a81694b477ac60ca0d68b6dc01bd9085d170868f00b68a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1099",
    "kind": "arxiv",
    "version": 3
  }
}