Pith Number

pith:SZ4ZY6WP

pith:2007:SZ4ZY6WPIKOPI4BEMTJKPAZR3T

not attested not anchored not stored refs pending

On lower limits and equivalences for distribution tails of randomly stopped sums

Denis Denisov, Dmitry Korshunov, Sergey Foss

arxiv:math/0701920 v3 · 2007-01-31 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SZ4ZY6WPIKOPI4BEMTJKPAZR3T}

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	2026-05-18T00:29:21.936069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96799c7acf429cf4702464d2a78331dcf9205451eff62f3b0fb9ebce53d3fc65

Aliases

arxiv: math/0701920 · arxiv_version: math/0701920v3 · doi: 10.48550/arxiv.math/0701920 · pith_short_12: SZ4ZY6WPIKOP · pith_short_16: SZ4ZY6WPIKOPI4BE · pith_short_8: SZ4ZY6WP

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/SZ4ZY6WPIKOPI4BEMTJKPAZR3T \
  | 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: 96799c7acf429cf4702464d2a78331dcf9205451eff62f3b0fb9ebce53d3fc65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc503b5923a20b90e85dfc91986f4fbc7fd579e87bcd74e26708794f7abdcacc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-01-31T13:00:00Z",
    "title_canon_sha256": "a6b23f13abe4318f9976123572c3962f7cabd933a742e6e8db6fec2ae80e0a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701920",
    "kind": "arxiv",
    "version": 3
  }
}