Pith Number

pith:JAJIXG6I

pith:2011:JAJIXG6IV67DW6DYSBSS334RC5

not attested not anchored not stored refs pending

Rates of convergence in the strong invariance principle under projective criteria

Florence Merlev\`ede, J\'er\^ome Dedecker, Paul Doukhan

arxiv:1102.5061 v2 · 2011-02-24 · 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{JAJIXG6IV67DW6DYSBSS334RC5}

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	2026-05-18T04:01:11.658245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48128b9bc8afbe3b787890652def911766967d9ad3f1a1483da1956a7f4bb41d

Aliases

arxiv: 1102.5061 · arxiv_version: 1102.5061v2 · doi: 10.48550/arxiv.1102.5061 · pith_short_12: JAJIXG6IV67D · pith_short_16: JAJIXG6IV67DW6DY · pith_short_8: JAJIXG6I

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/JAJIXG6IV67DW6DYSBSS334RC5 \
  | 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: 48128b9bc8afbe3b787890652def911766967d9ad3f1a1483da1956a7f4bb41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5039735e9e5dd3d1ad463e6971a4c32a62c38ddffd318c099dc68f1212ae7f36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-24T18:35:38Z",
    "title_canon_sha256": "79b46675f2f57385e209bd46445062887114a7f8d22c58b491b2e39c39bf2245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5061",
    "kind": "arxiv",
    "version": 2
  }
}