Pith Number

pith:VJJ5KQEW

pith:2016:VJJ5KQEWAG3UKVSCSKQUD75NKB

not attested not anchored not stored refs pending

Multidimensional van der Corput sets and small fractional parts of polynomials

Manfred G. Madritsch, Robert F. Tichy

arxiv:1606.03049 v2 · 2016-06-09 · 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{VJJ5KQEWAG3UKVSCSKQUD75NKB}

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	2026-05-17T23:53:13.120151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa53d5409601b745564292a141ffad505ff2ac9679d706936e0352c79787730f

Aliases

arxiv: 1606.03049 · arxiv_version: 1606.03049v2 · doi: 10.48550/arxiv.1606.03049 · pith_short_12: VJJ5KQEWAG3U · pith_short_16: VJJ5KQEWAG3UKVSC · pith_short_8: VJJ5KQEW

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/VJJ5KQEWAG3UKVSCSKQUD75NKB \
  | 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: aa53d5409601b745564292a141ffad505ff2ac9679d706936e0352c79787730f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43c89508f3f3a66dcc07c3355ba043e510137116f289e9739d820576597f941",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-09T18:22:39Z",
    "title_canon_sha256": "73239846e56204e919932d9778ffc1e318b018143d3f3cbf8776a82918852eff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03049",
    "kind": "arxiv",
    "version": 2
  }
}