Pith Number

pith:HJFFYZHQ

pith:2012:HJFFYZHQGHLTAV54YXWQ5PNJNX

not attested not anchored not stored refs pending

Chaos of a Markov operator and the fourth moment condition

M. Ledoux

arxiv:1210.7587 v1 · 2012-10-29 · 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{HJFFYZHQGHLTAV54YXWQ5PNJNX}

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	2026-05-18T03:42:09.454515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4a5c64f031d73057bcc5ed0ebda96dd3f988f203f8bc402b9c9800588d7dc6

Aliases

arxiv: 1210.7587 · arxiv_version: 1210.7587v1 · doi: 10.48550/arxiv.1210.7587 · pith_short_12: HJFFYZHQGHLT · pith_short_16: HJFFYZHQGHLTAV54 · pith_short_8: HJFFYZHQ

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/HJFFYZHQGHLTAV54YXWQ5PNJNX \
  | 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: 3a4a5c64f031d73057bcc5ed0ebda96dd3f988f203f8bc402b9c9800588d7dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa345aa4d5f589758be0b94ac4e85f19c5592a53aecd8bff6a9b13405152a99b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-29T08:28:33Z",
    "title_canon_sha256": "df31c68c764d2b5f91fcf08f8b7d4d070a88b954d993645704cbd45da813beae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7587",
    "kind": "arxiv",
    "version": 1
  }
}