Pith Number

pith:V6AKS5KQ

pith:2009:V6AKS5KQEL2KZAGRV2L4HO2KQ2

not attested not anchored not stored refs pending

Deviation inequalities for sums of weakly dependent time series

Olivier Wintenberger (CEREMADE)

arxiv:0911.1682 v1 · 2009-11-09 · 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{V6AKS5KQEL2KZAGRV2L4HO2KQ2}

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	2026-05-18T04:10:47.236102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af80a9755022f4ac80d1ae97c3bb4a86bd7d1aa88140d078cca508ac957c335a

Aliases

arxiv: 0911.1682 · arxiv_version: 0911.1682v1 · doi: 10.48550/arxiv.0911.1682 · pith_short_12: V6AKS5KQEL2K · pith_short_16: V6AKS5KQEL2KZAGR · pith_short_8: V6AKS5KQ

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/V6AKS5KQEL2KZAGRV2L4HO2KQ2 \
  | 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: af80a9755022f4ac80d1ae97c3bb4a86bd7d1aa88140d078cca508ac957c335a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75bb86a7dbd1285e60b6071b24a9d6ddbdcbd7ef2ec634d58b328655750b515",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-09T13:47:12Z",
    "title_canon_sha256": "af06e23e7ce259229da1820f6c228299790d69b43a12d29625c82687aa9b858f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1682",
    "kind": "arxiv",
    "version": 1
  }
}