Pith Number

pith:6KT2Z3LA

pith:2016:6KT2Z3LAOQ753LWR5DTOXKSWEY

not attested not anchored not stored refs pending

A Bombieri--Vinogradov Theorem with products of Gaussian primes as moduli

Karin Halupczok

arxiv:1607.07265 v1 · 2016-07-25 · 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{6KT2Z3LAOQ753LWR5DTOXKSWEY}

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	2026-05-18T01:10:34.358956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2a7aced60743fddaed1e8e6ebaa562625ef9340f4b8d7a9d0618071218d48a5

Aliases

arxiv: 1607.07265 · arxiv_version: 1607.07265v1 · doi: 10.48550/arxiv.1607.07265 · pith_short_12: 6KT2Z3LAOQ75 · pith_short_16: 6KT2Z3LAOQ753LWR · pith_short_8: 6KT2Z3LA

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/6KT2Z3LAOQ753LWR5DTOXKSWEY \
  | 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: f2a7aced60743fddaed1e8e6ebaa562625ef9340f4b8d7a9d0618071218d48a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89455269cb78c818b2d9a45dd5c219d809f1f1802a3d17ed2c3769a83eee7e27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-07-25T13:39:30Z",
    "title_canon_sha256": "596b5ea8c15949b18fdd44e6a0de89a92a264ca37a07d4a4ef79c78ff47dda9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07265",
    "kind": "arxiv",
    "version": 1
  }
}