Pith Number

pith:PLSSCN2D

pith:2011:PLSSCN2D3NICEAJEDVMVWMRK7K

not attested not anchored not stored refs pending

On the Order of Magnitude of Sums of Negative Powers of Integrated Processes

Benedikt M. P\"otscher

arxiv:1101.3902 v3 · 2011-01-20 · math.PR · 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{PLSSCN2D3NICEAJEDVMVWMRK7K}

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	2026-05-18T02:32:22.825157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ae5213743db502201241d595b322afabb480c3c99860aa56f9332a3c43d2713

Aliases

arxiv: 1101.3902 · arxiv_version: 1101.3902v3 · doi: 10.48550/arxiv.1101.3902 · pith_short_12: PLSSCN2D3NIC · pith_short_16: PLSSCN2D3NICEAJE · pith_short_8: PLSSCN2D

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/PLSSCN2D3NICEAJEDVMVWMRK7K \
  | 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: 7ae5213743db502201241d595b322afabb480c3c99860aa56f9332a3c43d2713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fef74fb90f8e6f8f1bf0623ebe8726be2a35f11aca223827afde8775f56d310",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-20T13:43:55Z",
    "title_canon_sha256": "c00537c6aff26072b5652580c8ec04a849ca0b381feb7f7c1bf7b4c5e32c0fe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3902",
    "kind": "arxiv",
    "version": 3
  }
}