Pith Number

pith:YSKBDQ3M

pith:2010:YSKBDQ3M7XC7TZYA24CROXCIRO

not attested not anchored not stored refs pending

A Dilution Test for the Convergence of Subseries of a Monotone Series

Lasse Leskel\"a, Mikko Stenlund

arxiv:1011.4697 v1 · 2010-11-17 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSKBDQ3M7XC7TZYA24CROXCIRO}

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	2026-05-18T04:03:57.019508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c49411c36cfdc5f9e700d705175c488b801bc5ecdc54c68c831d76163c0f09f3

Aliases

arxiv: 1011.4697 · arxiv_version: 1011.4697v1 · doi: 10.48550/arxiv.1011.4697 · pith_short_12: YSKBDQ3M7XC7 · pith_short_16: YSKBDQ3M7XC7TZYA · pith_short_8: YSKBDQ3M

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/YSKBDQ3M7XC7TZYA24CROXCIRO \
  | 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: c49411c36cfdc5f9e700d705175c488b801bc5ecdc54c68c831d76163c0f09f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1d281d728050a17b56d54ca166428deefafa858ee82334d4b19786771a21761",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-11-17T20:22:41Z",
    "title_canon_sha256": "8514410f15d1887d9cbed607f7f1268d249530d26cf9038a60ffc434bb4cffc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4697",
    "kind": "arxiv",
    "version": 1
  }
}