Pith Number

pith:PEXURXPF

pith:2014:PEXURXPFOP2JNJJ4V6LWPCUTP4

not attested not anchored not stored refs pending

Discrete $d$-dimensional moduli of smoothness

A. Prymak, Z. Ditzian

arxiv:1404.0063 v1 · 2014-03-31 · math.NA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEXURXPFOP2JNJJ4V6LWPCUTP4}

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	2026-05-18T02:44:56.470496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792f48dde573f496a53caf97678a937f32dd617cfdf7445d28a437f696d834c2

Aliases

arxiv: 1404.0063 · arxiv_version: 1404.0063v1 · doi: 10.48550/arxiv.1404.0063 · pith_short_12: PEXURXPFOP2J · pith_short_16: PEXURXPFOP2JNJJ4 · pith_short_8: PEXURXPF

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/PEXURXPFOP2JNJJ4V6LWPCUTP4 \
  | 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: 792f48dde573f496a53caf97678a937f32dd617cfdf7445d28a437f696d834c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f8dd207c7e9eb965c1d85601f41ddb6904dac8b47485dff6acae2ec44929cef",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-03-31T23:11:08Z",
    "title_canon_sha256": "a3243a5c2047e5b1313ddbc7df02d2aaf5923c868fc2b0a0b7e187b6eec63d1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0063",
    "kind": "arxiv",
    "version": 1
  }
}