Pith Number

pith:WXU5MHTK

pith:2013:WXU5MHTKQZRGBQAGM422345KXE

not attested not anchored not stored refs pending

Marked empirical processes for non-stationary time series

Ngai Hang Chan, Rongmao Zhang

arxiv:1312.3120 v1 · 2013-12-11 · 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{WXU5MHTKQZRGBQAGM422345KXE}

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	2026-05-18T03:05:00.423246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5e9d61e6a866260c0066735adf3aab9082510bf07f7ad066815be9e265836eb

Aliases

arxiv: 1312.3120 · arxiv_version: 1312.3120v1 · doi: 10.48550/arxiv.1312.3120 · pith_short_12: WXU5MHTKQZRG · pith_short_16: WXU5MHTKQZRGBQAG · pith_short_8: WXU5MHTK

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/WXU5MHTKQZRGBQAGM422345KXE \
  | 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: b5e9d61e6a866260c0066735adf3aab9082510bf07f7ad066815be9e265836eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52963f668a973888fc713fa4560cfbd8980a8210e9e5e3085dd0bf3f10985ab4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-11T11:26:14Z",
    "title_canon_sha256": "3e75e067cc2756be4b1bfd82634429388867b63d2386e0886826f49f003d968e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3120",
    "kind": "arxiv",
    "version": 1
  }
}