Pith Number

pith:6FNUA5YP

pith:2014:6FNUA5YPKAZ7EATC2B4AMPHLS6

not attested not anchored not stored refs pending

Limit theorems under the Maxwell-Woodroofe condition in Banach spaces

Christophe Cuny

arxiv:1403.0772 v3 · 2014-03-04 · 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{6FNUA5YPKAZ7EATC2B4AMPHLS6}

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	2026-05-18T01:22:08.685970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f15b40770f5033f20262d078063ceb9799441a3b3632b69bdf879a0ebdc1e745

Aliases

arxiv: 1403.0772 · arxiv_version: 1403.0772v3 · doi: 10.48550/arxiv.1403.0772 · pith_short_12: 6FNUA5YPKAZ7 · pith_short_16: 6FNUA5YPKAZ7EATC · pith_short_8: 6FNUA5YP

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/6FNUA5YPKAZ7EATC2B4AMPHLS6 \
  | 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: f15b40770f5033f20262d078063ceb9799441a3b3632b69bdf879a0ebdc1e745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0099a03855756f383868c80b2d2a2967b2f33ff3653ec2c7021e2372224c33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-04T12:57:24Z",
    "title_canon_sha256": "4498758872d5dc5504f04ed86d0af7e61a8626c558b8885d48d19c0d80b2198a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0772",
    "kind": "arxiv",
    "version": 3
  }
}