Pith Number

pith:G4M3CRII

pith:2012:G4M3CRIIM6LOLX2LKHYQ2YBDXP

not attested not anchored not stored refs pending

Least squares estimators for discretely observed stochastic processes driven by small Levy noises

Hongwei Long, Wei Sun, Yasutaka Shimizu

arxiv:1204.4761 v2 · 2012-04-20 · math.ST · math.PR · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4M3CRIIM6LOLX2LKHYQ2YBDXP}

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	2026-05-18T03:55:11.892155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3719b145086796e5df4b51f10d6023bbd2636ad374f43b56fc6eed82473e7dca

Aliases

arxiv: 1204.4761 · arxiv_version: 1204.4761v2 · doi: 10.48550/arxiv.1204.4761 · pith_short_12: G4M3CRIIM6LO · pith_short_16: G4M3CRIIM6LOLX2L · pith_short_8: G4M3CRII

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/G4M3CRIIM6LOLX2LKHYQ2YBDXP \
  | 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: 3719b145086796e5df4b51f10d6023bbd2636ad374f43b56fc6eed82473e7dca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29fdc834d6e6fce759fcc53dd2819a4e9ad0da52faf2285f76b0ba057885824e",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-04-20T23:06:30Z",
    "title_canon_sha256": "bbd7df37ff2e5423b22f9556b0913d4f24908fef52cb515cd9042405f52fa1bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4761",
    "kind": "arxiv",
    "version": 2
  }
}