Pith Number

pith:QWF2FKLC

pith:2017:QWF2FKLCM2WVANO6Q2CPI3OCI6

not attested not anchored not stored refs pending

Sharp frequency bounds for eigenfunctions of the Ornstein-Uhlenbeck operator

Tobias Holck Colding, William P. Minicozzi II

arxiv:1709.07405 v1 · 2017-09-21 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWF2FKLCM2WVANO6Q2CPI3OCI6}

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	2026-05-18T00:34:35.887340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

858ba2a96266ad5035de8684f46dc247b5f800be1eb0eb7670854b3b6864e788

Aliases

arxiv: 1709.07405 · arxiv_version: 1709.07405v1 · doi: 10.48550/arxiv.1709.07405 · pith_short_12: QWF2FKLCM2WV · pith_short_16: QWF2FKLCM2WVANO6 · pith_short_8: QWF2FKLC

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/QWF2FKLCM2WVANO6Q2CPI3OCI6 \
  | 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: 858ba2a96266ad5035de8684f46dc247b5f800be1eb0eb7670854b3b6864e788

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bee67e7a79d9963e14ec650a707d5944155a3d3f6b1febc2739e993778af71c8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-21T16:44:28Z",
    "title_canon_sha256": "03fb425919c91e2cc329747f4cacbb1e4a6c60a8e80a072f6f5f8fb59981a328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07405",
    "kind": "arxiv",
    "version": 1
  }
}