Pith Number

pith:KOJXKZ7F

pith:2015:KOJXKZ7F32EFI4UFTJZPR6RKWK

not attested not anchored not stored refs pending

Weak convergence of the empirical process and the rescaled empirical distribution function in the Skorokhod product space

Daniel Vogel, Dietmar Ferger

arxiv:1506.04324 v1 · 2015-06-13 · math.PR · 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{KOJXKZ7F32EFI4UFTJZPR6RKWK}

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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	2026-05-18T01:49:54.876963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53937567e5de885472859a72f8fa2ab2939f4b28c0938e75e5012b0856fea7c2

Aliases

arxiv: 1506.04324 · arxiv_version: 1506.04324v1 · doi: 10.48550/arxiv.1506.04324 · pith_short_12: KOJXKZ7F32EF · pith_short_16: KOJXKZ7F32EFI4UF · pith_short_8: KOJXKZ7F

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/KOJXKZ7F32EFI4UFTJZPR6RKWK \
  | 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: 53937567e5de885472859a72f8fa2ab2939f4b28c0938e75e5012b0856fea7c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01935559970958ed2d750a9fe771b9387b2c07e66145253e0f5a2cfa400e0d6c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-06-13T21:42:03Z",
    "title_canon_sha256": "aa41da149a36aecd0fc00ae6f82ac80d5779915b0648d128c465cb2e0e61ca9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04324",
    "kind": "arxiv",
    "version": 1
  }
}