Pith Number

pith:O4T35BPR

pith:2011:O4T35BPR25Z2EL3KUDLJ65JBII

not attested not anchored not stored refs pending

On the Convergence of Finite Order Approximations of Stationary Time Series

Peter W. Glynn, Ravi R. Mazumdar, Symantak Datta Gupta

arxiv:1109.3732 v1 · 2011-09-16 · math.ST · math.SP · 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{O4T35BPR25Z2EL3KUDLJ65JBII}

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	2026-05-18T03:07:02.357475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7727be85f1d773a22f6aa0d69f752142087cab6d6820912ad8bdcbfa567c1ddc

Aliases

arxiv: 1109.3732 · arxiv_version: 1109.3732v1 · doi: 10.48550/arxiv.1109.3732 · pith_short_12: O4T35BPR25Z2 · pith_short_16: O4T35BPR25Z2EL3K · pith_short_8: O4T35BPR

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/O4T35BPR25Z2EL3KUDLJ65JBII \
  | 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: 7727be85f1d773a22f6aa0d69f752142087cab6d6820912ad8bdcbfa567c1ddc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e143955f7e98248d9d253f2275fc5be0fc2931cdd408ba98afabd11236260e6",
    "cross_cats_sorted": [
      "math.SP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-09-16T21:51:44Z",
    "title_canon_sha256": "f9c7ec43fd7232747ba70df55c6e1af7a92f9c8fa4f50627022410204d5b27fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3732",
    "kind": "arxiv",
    "version": 1
  }
}