Pith Number

pith:CYO6QFND

pith:2015:CYO6QFNDNQ6ZOT4H2EY7LQERJD

not attested not anchored not stored refs pending

The large sieve with square norm moduli in Z[i]

Stephan Baier

arxiv:1511.02470 v3 · 2015-11-08 · 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{CYO6QFNDNQ6ZOT4H2EY7LQERJD}

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	2026-05-18T01:12:49.509074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

161de815a36c3d974f87d131f5c09148f21d9749e31ff34087c434a2630242a8

Aliases

arxiv: 1511.02470 · arxiv_version: 1511.02470v3 · doi: 10.48550/arxiv.1511.02470 · pith_short_12: CYO6QFNDNQ6Z · pith_short_16: CYO6QFNDNQ6ZOT4H · pith_short_8: CYO6QFND

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/CYO6QFNDNQ6ZOT4H2EY7LQERJD \
  | 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: 161de815a36c3d974f87d131f5c09148f21d9749e31ff34087c434a2630242a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d2b0ee5ceede4ec91ed08402f3c8b48ec6a71ad35b384b10a164f23bba96c0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-08T11:38:56Z",
    "title_canon_sha256": "ff69adcb65ad987ed2f240245cdee4f707d8672e0b7e9c37acf5f5abb3ee7b76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02470",
    "kind": "arxiv",
    "version": 3
  }
}