Pith Number

pith:2IUXD4VQ

pith:2026:2IUXD4VQXJKRFTZRZHSQESOCWX

not attested not anchored not stored refs pending

An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation

Ethan Wang, Siyuan Wang, Zixuan Peng

arxiv:2605.21275 v1 · 2026-05-20 · 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{2IUXD4VQXJKRFTZRZHSQESOCWX}

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	2026-05-21T02:05:26.232283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22971f2b0ba5512cf31c9e50249c2b5ef99ee8461e2eea3947f6c68a20a4a02

Aliases

arxiv: 2605.21275 · arxiv_version: 2605.21275v1 · doi: 10.48550/arxiv.2605.21275 · pith_short_12: 2IUXD4VQXJKR · pith_short_16: 2IUXD4VQXJKRFTZR · pith_short_8: 2IUXD4VQ

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/2IUXD4VQXJKRFTZRZHSQESOCWX \
  | 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: d22971f2b0ba5512cf31c9e50249c2b5ef99ee8461e2eea3947f6c68a20a4a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d330d37d906bbd352c57bf4b4bd1fb997a30ad93df010989d26ef74a2a2cf710",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-20T15:06:06Z",
    "title_canon_sha256": "7f09fe5266e0ad1f10ccee0e93164e1aea6fba9cb351ffb8d9285c20f7235fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21275",
    "kind": "arxiv",
    "version": 1
  }
}