Pith Number

pith:U3DZT7N4

pith:2018:U3DZT7N4V6FGUZGF6AFDWBNDF4

not attested not anchored not stored refs pending

Asymptotic uniformity of the quantization error for Moran measures on $\mathbb{R}^1$

Sanguo Zhu

arxiv:1802.03723 v1 · 2018-02-11 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3DZT7N4V6FGUZGF6AFDWBNDF4}

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	2026-05-18T00:23:50.649408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6c799fdbcaf8a6a64c5f00a3b05a32f2a68d30bfdb60ea5a09615a6463042df

Aliases

arxiv: 1802.03723 · arxiv_version: 1802.03723v1 · doi: 10.48550/arxiv.1802.03723 · pith_short_12: U3DZT7N4V6FG · pith_short_16: U3DZT7N4V6FGUZGF · pith_short_8: U3DZT7N4

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/U3DZT7N4V6FGUZGF6AFDWBNDF4 \
  | 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: a6c799fdbcaf8a6a64c5f00a3b05a32f2a68d30bfdb60ea5a09615a6463042df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56d0fef2f4355369d47ebf93c73451752c18e93c57cab07bf81a36822a5aa4f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-11T11:18:58Z",
    "title_canon_sha256": "e242805576c74955e379a215b82a283a5d600f3fbd6fd9f47253c4610d041d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03723",
    "kind": "arxiv",
    "version": 1
  }
}