Pith Number

pith:I6M7WTUS

pith:2019:I6M7WTUSMMBQMYHSAXSX3SJYDL

not attested not anchored not stored refs pending

Nonuniform Distributions of Residues of Prime Sequences in Prime Moduli

David Wu

arxiv:1908.07095 v1 · 2019-08-19 · 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{I6M7WTUSMMBQMYHSAXSX3SJYDL}

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	2026-07-04T23:58:30.728021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4799fb4e9263030660f205e57dc9381ada1f2e11f34127b8d9a8685cb42ff9a3

Aliases

arxiv: 1908.07095 · arxiv_version: 1908.07095v1 · doi: 10.48550/arxiv.1908.07095 · pith_short_12: I6M7WTUSMMBQ · pith_short_16: I6M7WTUSMMBQMYHS · pith_short_8: I6M7WTUS

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/I6M7WTUSMMBQMYHSAXSX3SJYDL \
  | 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: 4799fb4e9263030660f205e57dc9381ada1f2e11f34127b8d9a8685cb42ff9a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bb36a03a50d7d9d606fd9447e94c601d85aea270024ca5560619b9d30c0f755",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-19T22:55:30Z",
    "title_canon_sha256": "11bf445970dc8def480c99d365da6226d94d098cb58c618ffc07664e7233ab95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07095",
    "kind": "arxiv",
    "version": 1
  }
}