Pith Number

pith:ZTJ2DQ7G

pith:2016:ZTJ2DQ7GOR72MITCUY7YJPIRQ5

not attested not anchored not stored refs pending

Optimal Kernel Estimation of Spot Volatility of Stochastic Differential Equations

Cheng Li, Jos\'e E. Figueroa-L\'opez

arxiv:1612.04507 v1 · 2016-12-14 · math.ST · q-fin.ST · 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{ZTJ2DQ7GOR72MITCUY7YJPIRQ5}

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	2026-05-18T00:54:59.368574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd3a1c3e6747fa62262a63f84bd118741d9b20c8a75f27d1f5a40ddd5854d51

Aliases

arxiv: 1612.04507 · arxiv_version: 1612.04507v1 · doi: 10.48550/arxiv.1612.04507 · pith_short_12: ZTJ2DQ7GOR72 · pith_short_16: ZTJ2DQ7GOR72MITC · pith_short_8: ZTJ2DQ7G

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/ZTJ2DQ7GOR72MITCUY7YJPIRQ5 \
  | 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: ccd3a1c3e6747fa62262a63f84bd118741d9b20c8a75f27d1f5a40ddd5854d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b8e31ac42b9e66a854d8e0ff65cd3c75b8747583a0303520bfd97861feeb31",
    "cross_cats_sorted": [
      "q-fin.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-12-14T06:25:51Z",
    "title_canon_sha256": "dd96f229d334931d09e29810c1dad11097821da93d08556cef29978adb3ee846"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04507",
    "kind": "arxiv",
    "version": 1
  }
}