Pith Number

pith:CKINP2OK

pith:2025:CKINP2OKIVG2ZSXC76LFSPUAL2

not attested not anchored not stored refs pending

An extended Vinogradov's mean value theorem

Changkeun Oh, Kiseok Yeon

arxiv:2506.01751 v2 · 2025-06-02 · 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{CKINP2OKIVG2ZSXC76LFSPUAL2}

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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.

Cited by

1 paper in Pith

An Integral Mean Value Theorem for Weyl Sums over Broken Arcs

Receipt and verification

First computed	2026-07-05T11:26:31.763782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1290d7e9ca454daccae2ff96593e805e87673f37c21b8a00d467f1c3e491b1fe

Aliases

arxiv: 2506.01751 · arxiv_version: 2506.01751v2 · doi: 10.48550/arxiv.2506.01751 · pith_short_12: CKINP2OKIVG2 · pith_short_16: CKINP2OKIVG2ZSXC · pith_short_8: CKINP2OK

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/CKINP2OKIVG2ZSXC76LFSPUAL2 \
  | 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: 1290d7e9ca454daccae2ff96593e805e87673f37c21b8a00d467f1c3e491b1fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce7773e32424db07d5ca8dc2867645d11abac56144218c915503c0cf240fa60",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-02T14:59:11Z",
    "title_canon_sha256": "c41b3959847955dcd5d5893ebad0a712cd1532c656379ced874c65249b0d301b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01751",
    "kind": "arxiv",
    "version": 2
  }
}