Pith Number

pith:2OR4OT5E

pith:2025:2OR4OT5EC375E62U3PC45WUHMY

not attested not anchored not stored refs pending

Critical radii and suprema of random waves over Riemannian manifolds

Dong Yao, Renjie Feng, Robert J. Adler

arxiv:2501.10798 v1 · 2025-01-18 · 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{2OR4OT5EC375E62U3PC45WUHMY}

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

On the supremum of random cusp forms

Receipt and verification

First computed	2026-07-05T10:02:33.396166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3a3c74fa416ffd27b54dbc5ceda87661204fe8ab8dc638be632e0e59d5ca07e

Aliases

arxiv: 2501.10798 · arxiv_version: 2501.10798v1 · doi: 10.48550/arxiv.2501.10798 · pith_short_12: 2OR4OT5EC375 · pith_short_16: 2OR4OT5EC375E62U · pith_short_8: 2OR4OT5E

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/2OR4OT5EC375E62U3PC45WUHMY \
  | 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: d3a3c74fa416ffd27b54dbc5ceda87661204fe8ab8dc638be632e0e59d5ca07e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689d09a9af0c21ff2034df9662b84dd0166ae383f6c3127c8b9c56cba000f24f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-01-18T15:26:41Z",
    "title_canon_sha256": "3b1fd0912362ba048c06fc09295046e59bc8d7c32867120b561c4a89c61bfc49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10798",
    "kind": "arxiv",
    "version": 1
  }
}