Pith Number

pith:ZT4OCTPT

pith:2025:ZT4OCTPTBOM225PVNCD6JO226F

not attested not anchored not stored refs pending

Computable Bounds for Strong Approximations with Applications

Haoyu Ye, Morgane Austern

arxiv:2508.03833 v3 · 2025-08-05 · math.ST · math.PR · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZT4OCTPTBOM225PVNCD6JO226F}

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	2026-05-20T00:05:32.135610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf8e14df30b99ad75f56887e4bb5af15c88ad47243e70a5a03313edc574028f

Aliases

arxiv: 2508.03833 · arxiv_version: 2508.03833v3 · doi: 10.48550/arxiv.2508.03833 · pith_short_12: ZT4OCTPTBOM2 · pith_short_16: ZT4OCTPTBOM225PV · pith_short_8: ZT4OCTPT

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/ZT4OCTPTBOM225PVNCD6JO226F \
  | 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: ccf8e14df30b99ad75f56887e4bb5af15c88ad47243e70a5a03313edc574028f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "366362031b9d84f99a9c188e7fa6fd7ee0421fff1a500c8aa7b72972c1c9e02a",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-08-05T18:23:47Z",
    "title_canon_sha256": "87c3e8ca4d81cf52ee0deca91d94d389c94788efb31c815131be68b2159e5405"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.03833",
    "kind": "arxiv",
    "version": 3
  }
}