Pith Number

pith:VUVVGDNB

pith:2025:VUVVGDNBG6RFKTSEJNL5NVG6JI

not attested not anchored not stored refs pending

Wasserstein metrics and quantitative equidistribution of exponential sums over finite fields

Emmanuel Kowalski, Th\'eo Untrau

arxiv:2505.22059 v2 · 2025-05-28 · 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{VUVVGDNBG6RFKTSEJNL5NVG6JI}

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.

Cited by

1 paper in Pith

A Wasserstein metric approach to generalized Skewes' numbers. I. Prime number races

Receipt and verification

First computed	2026-07-05T11:44:06.430938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2b530da137a2554e444b57d6d4de4a055d6b6f8adf8d215f1707baffc2333a

Aliases

arxiv: 2505.22059 · arxiv_version: 2505.22059v2 · doi: 10.48550/arxiv.2505.22059 · pith_short_12: VUVVGDNBG6RF · pith_short_16: VUVVGDNBG6RFKTSE · pith_short_8: VUVVGDNB

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/VUVVGDNBG6RFKTSEJNL5NVG6JI \
  | 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: ad2b530da137a2554e444b57d6d4de4a055d6b6f8adf8d215f1707baffc2333a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e432a256570646bc7c957c0a2880f6a9d9950694cac54d99f9bc4e1c2c1171a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-28T07:29:40Z",
    "title_canon_sha256": "4a50b7f87ceeaac6ad966141ee15eed646c5f13ac05220e5d846b3ead0d65fef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22059",
    "kind": "arxiv",
    "version": 2
  }
}