Pith Number

pith:2JU3PQLW

pith:2015:2JU3PQLWPK4TTEBV4IPVC3HKRM

not attested not anchored not stored refs pending

The square sieve and the large sieve with square moduli

Stephan Baier

arxiv:1506.06148 v2 · 2015-06-19 · 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{2JU3PQLWPK4TTEBV4IPVC3HKRM}

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	2026-05-18T01:12:49.872074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d269b7c1767ab9399035e21f516cea8b09051555b2d11c09c6d42a46e472f431

Aliases

arxiv: 1506.06148 · arxiv_version: 1506.06148v2 · doi: 10.48550/arxiv.1506.06148 · pith_short_12: 2JU3PQLWPK4T · pith_short_16: 2JU3PQLWPK4TTEBV · pith_short_8: 2JU3PQLW

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/2JU3PQLWPK4TTEBV4IPVC3HKRM \
  | 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: d269b7c1767ab9399035e21f516cea8b09051555b2d11c09c6d42a46e472f431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "150d9810f7fc994b08ce269a70af22092051ae49184d6c713d5003c921f5fabe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-19T20:20:25Z",
    "title_canon_sha256": "67632e2b9e78407660c008e0deda4a5435ec63738f74e2d302089f79001b534f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06148",
    "kind": "arxiv",
    "version": 2
  }
}