Pith Number

pith:XANBZIEW

pith:2012:XANBZIEWZX7X4IO3YOINM6Q7WY

not attested not anchored not stored refs pending

Fixed-smoothing asymptotics for time series

Xianyang Zhang, Xiaofeng Shao

arxiv:1204.4228 v2 · 2012-04-19 · math.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{XANBZIEWZX7X4IO3YOINM6Q7WY}

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	2026-05-18T03:13:46.513014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81a1ca096cdff7e21dbc390d67a1fb61a5bbf8e34504ab6122fa510e078e60c

Aliases

arxiv: 1204.4228 · arxiv_version: 1204.4228v2 · doi: 10.48550/arxiv.1204.4228 · pith_short_12: XANBZIEWZX7X · pith_short_16: XANBZIEWZX7X4IO3 · pith_short_8: XANBZIEW

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/XANBZIEWZX7X4IO3YOINM6Q7WY \
  | 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: b81a1ca096cdff7e21dbc390d67a1fb61a5bbf8e34504ab6122fa510e078e60c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4edd3314faca6cfdbab20122547c1bcae68eeb70022064640698cc26781580f1",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-04-19T01:13:02Z",
    "title_canon_sha256": "b5300b1560d93b19b4b568948ca062ca1f82eae358088a066b36b856a4ed0f01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4228",
    "kind": "arxiv",
    "version": 2
  }
}