Pith Number

pith:YTTH6WMB

pith:2026:YTTH6WMBT6E47Y4X2SVZJMFCAG

not attested not anchored not stored refs pending

Upper and Lower Bounds on Expected Soft Maxima of Gaussian Processes

Maxim Raginsky, Yifeng Chu

arxiv:2606.22611 v1 · 2026-06-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTTH6WMBT6E47Y4X2SVZJMFCAG}

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	2026-06-23T02:13:42.838662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e67f59819f89cfe397d4ab94b0a2019fdbc4367c6d211b63c9f955b2dad4c0

Aliases

arxiv: 2606.22611 · arxiv_version: 2606.22611v1 · doi: 10.48550/arxiv.2606.22611 · pith_short_12: YTTH6WMBT6E4 · pith_short_16: YTTH6WMBT6E47Y4X · pith_short_8: YTTH6WMB

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/YTTH6WMBT6E47Y4X2SVZJMFCAG \
  | 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: c4e67f59819f89cfe397d4ab94b0a2019fdbc4367c6d211b63c9f955b2dad4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794ed6d305e3309c34f1d3a37e9ad39b28dfcd9774b725eda8fa8a04950eb58a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-21T17:37:26Z",
    "title_canon_sha256": "436a652f295ffef0b4cd6c0add36ed6b940daecaebf8bd0d585532b7b1fa8404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22611",
    "kind": "arxiv",
    "version": 1
  }
}