Pith Number

pith:3QZ2GKQN

pith:2014:3QZ2GKQN5IDPG2II63QUZXWOUG

not attested not anchored not stored refs pending

Discrepancy estimates for index-transformed uniformly distributed sequences

Friedrich Pillichshammer, Gerhard Larcher, Peter Kritzer

arxiv:1407.8287 v1 · 2014-07-31 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QZ2GKQN5IDPG2II63QUZXWOUG}

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	2026-05-18T02:46:05.456999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc33a32a0dea06f36908f6e14cdecea1ae2dca3b0a2c8b60e37c954983504571

Aliases

arxiv: 1407.8287 · arxiv_version: 1407.8287v1 · doi: 10.48550/arxiv.1407.8287 · pith_short_12: 3QZ2GKQN5IDP · pith_short_16: 3QZ2GKQN5IDPG2II · pith_short_8: 3QZ2GKQN

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/3QZ2GKQN5IDPG2II63QUZXWOUG \
  | 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: dc33a32a0dea06f36908f6e14cdecea1ae2dca3b0a2c8b60e37c954983504571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60eb34fcd9f9601a509d6fa0b5a1868fb2ac2f041fb540ca4a34b4108785d39e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-31T06:21:13Z",
    "title_canon_sha256": "fbedfb94696b28b4911aff31f5abd84ea52ab5b35da6602e24d0d5b5554ac8cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8287",
    "kind": "arxiv",
    "version": 1
  }
}