Pith Number

pith:QUL4DIZR

pith:2010:QUL4DIZRTN4IVMIMOE5P3O6AN3

not attested not anchored not stored refs pending

The Stability of some stochastic processes

H. Bessaih, R. Kapica, T. Szarek

arxiv:1012.3202 v2 · 2010-12-15 · math-ph · math.MP · 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{QUL4DIZRTN4IVMIMOE5P3O6AN3}

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	2026-05-18T04:16:53.555959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8517c1a3319b788ab10c713afdbbc06efaa83f8c1813894425a3b606fcbd291f

Aliases

arxiv: 1012.3202 · arxiv_version: 1012.3202v2 · doi: 10.48550/arxiv.1012.3202 · pith_short_12: QUL4DIZRTN4I · pith_short_16: QUL4DIZRTN4IVMIM · pith_short_8: QUL4DIZR

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/QUL4DIZRTN4IVMIMOE5P3O6AN3 \
  | 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: 8517c1a3319b788ab10c713afdbbc06efaa83f8c1813894425a3b606fcbd291f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a953596d942c0ef91a53529f28a52deaf1980a28b9726b2c2eb02a9e74acb654",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-15T00:42:27Z",
    "title_canon_sha256": "32271c923ec968188e048291a48344997d857d0a5a03a9fa512568e37cba40c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3202",
    "kind": "arxiv",
    "version": 2
  }
}