Pith Number

pith:4GEVAG6R

pith:2013:4GEVAG6RW5I4IIHY2ER4HBUOZI

not attested not anchored not stored refs pending

When uniform weak convergence fails: Empirical processes for dependence functions and residuals via epi- and hypographs

Axel B\"ucher, Johan Segers, Stanislav Volgushev

arxiv:1305.6408 v2 · 2013-05-28 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4GEVAG6RW5I4IIHY2ER4HBUOZI}

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	2026-05-18T02:45:14.701089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e189501bd1b751c420f8d123c3868eca1c49936b66004fcd852a5b7c85163dbd

Aliases

arxiv: 1305.6408 · arxiv_version: 1305.6408v2 · doi: 10.48550/arxiv.1305.6408 · pith_short_12: 4GEVAG6RW5I4 · pith_short_16: 4GEVAG6RW5I4IIHY · pith_short_8: 4GEVAG6R

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/4GEVAG6RW5I4IIHY2ER4HBUOZI \
  | 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: e189501bd1b751c420f8d123c3868eca1c49936b66004fcd852a5b7c85163dbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ff67fe378cdadbcccc7914b9bd89fc51c161654218bf022e28d10576ee01e3",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-05-28T08:35:25Z",
    "title_canon_sha256": "cc24c65987baac68e0d9e801e05b39afbeb610ea5cc4aa5815874cc787e404dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6408",
    "kind": "arxiv",
    "version": 2
  }
}