Pith Number

pith:KCWOATP5

pith:2017:KCWOATP5YGFFMFIYG623WURIPF

not attested not anchored not stored refs pending

Kernel entropy estimation for linear processes

Fangjun Xu, Hailing Sang, Yongli Sang

arxiv:1712.00196 v1 · 2017-12-01 · 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{KCWOATP5YGFFMFIYG623WURIPF}

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	2026-05-18T00:29:07.002079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50ace04dfdc18a56151837b5bb5228796d80457e00a00a13e6722d80ca442536

Aliases

arxiv: 1712.00196 · arxiv_version: 1712.00196v1 · doi: 10.48550/arxiv.1712.00196 · pith_short_12: KCWOATP5YGFF · pith_short_16: KCWOATP5YGFFMFIY · pith_short_8: KCWOATP5

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/KCWOATP5YGFFMFIYG623WURIPF \
  | 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: 50ace04dfdc18a56151837b5bb5228796d80457e00a00a13e6722d80ca442536

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3891e2aef84326fdabcab16e0c482f1c6a91479892e4cf3f5ce5bb4ec1bbf4df",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-12-01T05:07:13Z",
    "title_canon_sha256": "70caf84363f27996ae4e183d2a6a8636d98dfb01a21417c30e1a02c8cf1162e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00196",
    "kind": "arxiv",
    "version": 1
  }
}