Pith Number

pith:6VDE5MLE

pith:2014:6VDE5MLEWWHPCKNLGAQGVO2XO6

not attested not anchored not stored refs pending

A CLT for weighted time-dependent uniform empirical processes

Yuping Yang

arxiv:1412.8162 v1 · 2014-12-28 · 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{6VDE5MLEWWHPCKNLGAQGVO2XO6}

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	2026-05-18T02:30:23.918105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5464eb164b58ef129ab30206abb5777a4f49b22b0184dd1a84581d5fe35aefd

Aliases

arxiv: 1412.8162 · arxiv_version: 1412.8162v1 · doi: 10.48550/arxiv.1412.8162 · pith_short_12: 6VDE5MLEWWHP · pith_short_16: 6VDE5MLEWWHPCKNL · pith_short_8: 6VDE5MLE

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/6VDE5MLEWWHPCKNLGAQGVO2XO6 \
  | 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: f5464eb164b58ef129ab30206abb5777a4f49b22b0184dd1a84581d5fe35aefd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e928a2813b5721d64c58d5b400449baad89ec8ed7e5d751091f75c179ad587",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-28T13:24:13Z",
    "title_canon_sha256": "35c2f063ac31e9f0ff313fae23e6451c50e8c4a010793f1ea78b8acdee8df098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8162",
    "kind": "arxiv",
    "version": 1
  }
}