Pith Number

pith:VRDN6MRA

pith:2018:VRDN6MRA5OXXZVJG56DXUCFMUI

not attested not anchored not stored refs pending

The large sieve with power moduli for $\mathbb{Z}[i]$

Arpit Bansal, Stephan Baier

arxiv:1802.08964 v2 · 2018-02-25 · 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{VRDN6MRA5OXXZVJG56DXUCFMUI}

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	2026-05-18T00:15:04.873348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac46df3220ebaf7cd526ef877a08aca21f4a7e0053c3ec6c15a19effc55d0980

Aliases

arxiv: 1802.08964 · arxiv_version: 1802.08964v2 · doi: 10.48550/arxiv.1802.08964 · pith_short_12: VRDN6MRA5OXX · pith_short_16: VRDN6MRA5OXXZVJG · pith_short_8: VRDN6MRA

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/VRDN6MRA5OXXZVJG56DXUCFMUI \
  | 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: ac46df3220ebaf7cd526ef877a08aca21f4a7e0053c3ec6c15a19effc55d0980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eee996f1cf70e569068e3cec46b23544846d44e233c409c33e93a3430ecccb85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-25T08:07:02Z",
    "title_canon_sha256": "a83711f58168716481b11c21ef0e2812a6725a821eb6cd965cf5bd686f923e94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08964",
    "kind": "arxiv",
    "version": 2
  }
}