Pith Number

pith:JDGIIOSQ

pith:2025:JDGIIOSQRDXJ6VFUFLNGMESLMO

not attested not anchored not stored refs pending

Some notes on Lamperti's recurrence of stochastic sequences

Vyacheslav M. Abramov

arxiv:2506.21829 v4 · 2025-06-27 · 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{JDGIIOSQRDXJ6VFUFLNGMESLMO}

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	2026-05-26T02:03:52.243806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48cc843a5088ee9f54b42ada66124b63b31483c12d303faeb1b4747556100b28

Aliases

arxiv: 2506.21829 · arxiv_version: 2506.21829v4 · doi: 10.48550/arxiv.2506.21829 · pith_short_12: JDGIIOSQRDXJ · pith_short_16: JDGIIOSQRDXJ6VFU · pith_short_8: JDGIIOSQ

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/JDGIIOSQRDXJ6VFUFLNGMESLMO \
  | 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: 48cc843a5088ee9f54b42ada66124b63b31483c12d303faeb1b4747556100b28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29128be7eb2908cc043eee6986438289c7b18df1932671dd21b57303cffc20bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-27T00:31:24Z",
    "title_canon_sha256": "77422c9b89ab46d50a3476994ed649f1156a4a0fdb9238af2f7dcee4fa06a799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21829",
    "kind": "arxiv",
    "version": 4
  }
}