Pith Number

pith:2TP67LXW

pith:2005:2TP67LXW3SFKVGVPWHT5C7II4B

not attested not anchored not stored refs pending

Almost Sure Convergence of Solutions to Non-Homogeneous Stochastic Difference Equation

Alexandra Rodkina, Gregory Berkolaiko

arxiv:math/0508371 v3 · 2005-08-19 · math.PR · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TP67LXW3SFKVGVPWHT5C7II4B}

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	2026-05-18T04:10:47.335722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4dfefaef6dc8aaa9aafb1e7d17d08e06c2f6642cb3b2a90dc0e7afea21ea3e8

Aliases

arxiv: math/0508371 · arxiv_version: math/0508371v3 · doi: 10.48550/arxiv.math/0508371 · pith_short_12: 2TP67LXW3SFK · pith_short_16: 2TP67LXW3SFKVGVP · pith_short_8: 2TP67LXW

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/2TP67LXW3SFKVGVPWHT5C7II4B \
  | 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: d4dfefaef6dc8aaa9aafb1e7d17d08e06c2f6642cb3b2a90dc0e7afea21ea3e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e479465bb4981db82991b054cf759a8d254e925f2f94b4b6d55da5acc82ace",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-08-19T16:35:03Z",
    "title_canon_sha256": "bebec9ac898d22624e75ea7d6544dab8fc1aa330beb3456327e8db54f8bd9ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508371",
    "kind": "arxiv",
    "version": 3
  }
}