Pith Number

pith:IVZP44OM

pith:2011:IVZP44OMER2R5WDVF7PPBI7L57

not attested not anchored not stored refs pending

A new bound for the large sieve inequality with power moduli

Karin Halupczok

arxiv:1109.3975 v1 · 2011-09-19 · 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{IVZP44OMER2R5WDVF7PPBI7L57}

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	2026-05-18T04:01:26.084069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4572fe71cc24751ed8752fdef0a3ebefe60b75b0095cb150ef91c7a0e087f671

Aliases

arxiv: 1109.3975 · arxiv_version: 1109.3975v1 · doi: 10.48550/arxiv.1109.3975 · pith_short_12: IVZP44OMER2R · pith_short_16: IVZP44OMER2R5WDV · pith_short_8: IVZP44OM

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/IVZP44OMER2R5WDVF7PPBI7L57 \
  | 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: 4572fe71cc24751ed8752fdef0a3ebefe60b75b0095cb150ef91c7a0e087f671

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba3f488e4617d59d0c407a814d668300a447cee1cd14c27eb5982370b630f257",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-19T09:06:25Z",
    "title_canon_sha256": "5dd7fb9d37d0d9410812761a7e4f1835f7bafa6c7e70dfc633a8c7a034d98c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3975",
    "kind": "arxiv",
    "version": 1
  }
}