Pith Number

pith:IAIOQJZ3

pith:2015:IAIOQJZ3JHGMGEMNU7N6Z5GWNV

not attested not anchored not stored refs pending

Metric results on the discrepancy of sequences $\left(a_{n} \alpha\right)_{n \geq 1}$ modulo one for integer sequences $\left(a_{n}\right)_{n \geq 1}$ of polynomial growth

Christoph Aistleitner, Gerhard Larcher

arxiv:1507.00207 v4 · 2015-07-01 · math.NT · math.CA · 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{IAIOQJZ3JHGMGEMNU7N6Z5GWNV}

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	2026-05-18T01:19:00.405379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4010e8273b49ccc3118da7dbecf4d66d68468089bbc97030b8b760a93ffa8491

Aliases

arxiv: 1507.00207 · arxiv_version: 1507.00207v4 · doi: 10.48550/arxiv.1507.00207 · pith_short_12: IAIOQJZ3JHGM · pith_short_16: IAIOQJZ3JHGMGEMN · pith_short_8: IAIOQJZ3

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/IAIOQJZ3JHGMGEMNU7N6Z5GWNV \
  | 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: 4010e8273b49ccc3118da7dbecf4d66d68468089bbc97030b8b760a93ffa8491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7d0f6ae2652e8dabe12550cd174de77c28a448805e7f2b1c84ede5d30e79362",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-01T12:38:16Z",
    "title_canon_sha256": "dc6a28d2eee748ce162f35f976765c803ff7b16c4ae4f69adbab7a0f65db59dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00207",
    "kind": "arxiv",
    "version": 4
  }
}