Pith Number

pith:QSKOR2QV

pith:2022:QSKOR2QVH4VGZ65FBPXH4ED5GD

not attested not anchored not stored refs pending

Chebyshev's Bias against Splitting and Principal Primes in Global Fields

Miho Aoki, Shin-ya Koyama

arxiv:2203.12266 v6 · 2022-03-23 · 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{QSKOR2QVH4VGZ65FBPXH4ED5GD}

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	2026-06-11T01:09:06.348365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8494e8ea153f2a6cfba50bee7e107d30c05b44c4a7e0d593828df6cea420442e

Aliases

arxiv: 2203.12266 · arxiv_version: 2203.12266v6 · doi: 10.48550/arxiv.2203.12266 · pith_short_12: QSKOR2QVH4VG · pith_short_16: QSKOR2QVH4VGZ65F · pith_short_8: QSKOR2QV

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/QSKOR2QVH4VGZ65FBPXH4ED5GD \
  | 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: 8494e8ea153f2a6cfba50bee7e107d30c05b44c4a7e0d593828df6cea420442e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2457bf98dd6dd53e608e8b63bead6534d6eed609e20a5d950f695a9a0a0fcb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-03-23T08:29:29Z",
    "title_canon_sha256": "739e2e512ecaa76cb065bace15c840c3004897a0a6d2db9b421e091d22f04970"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.12266",
    "kind": "arxiv",
    "version": 6
  }
}