Pith Number

pith:DQQIZBPJ

pith:2015:DQQIZBPJ7BKBW2B3CBMRO75QQD

not attested not anchored not stored refs pending

Van der Corput's Difference Theorem: some modern developments

Joel Moreira, Vitaly Bergelson

arxiv:1510.07332 v1 · 2015-10-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQQIZBPJ7BKBW2B3CBMRO75QQD}

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	2026-05-18T01:29:14.343052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c208c85e9f8541b683b1059177fb080fae8102c00a51cb118067bfc620cfe43

Aliases

arxiv: 1510.07332 · arxiv_version: 1510.07332v1 · doi: 10.48550/arxiv.1510.07332 · pith_short_12: DQQIZBPJ7BKB · pith_short_16: DQQIZBPJ7BKBW2B3 · pith_short_8: DQQIZBPJ

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/DQQIZBPJ7BKBW2B3CBMRO75QQD \
  | 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: 1c208c85e9f8541b683b1059177fb080fae8102c00a51cb118067bfc620cfe43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c6d51612454aa8a98c2f00a3df1cdf16d0b346b7905bb39e9f806ba50d0f6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-26T00:12:24Z",
    "title_canon_sha256": "f57095cb53428b55bc6e6322f37d3798901b8428444c0a3d0ac5e7c5439ed5fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07332",
    "kind": "arxiv",
    "version": 1
  }
}