Pith Number

pith:7TOYPII7

pith:2015:7TOYPII73XCEFYZUO2PYFHWFRH

not attested not anchored not stored refs pending

An L^1-estimate for certain spectral multipliers associated with the Ornstein--Uhlenbeck operator

Mikko Kemppainen

arxiv:1508.06102 v2 · 2015-08-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TOYPII73XCEFYZUO2PYFHWFRH}

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	2026-05-18T00:57:38.253822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcdd87a11fddc442e334769f829ec589cbb1e0cfa27675498fb2e38f5e114e45

Aliases

arxiv: 1508.06102 · arxiv_version: 1508.06102v2 · doi: 10.48550/arxiv.1508.06102 · pith_short_12: 7TOYPII73XCE · pith_short_16: 7TOYPII73XCEFYZU · pith_short_8: 7TOYPII7

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/7TOYPII73XCEFYZUO2PYFHWFRH \
  | 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: fcdd87a11fddc442e334769f829ec589cbb1e0cfa27675498fb2e38f5e114e45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06f1a6cb1a4bc8faa30bb6f634de566ca450d052ce39fac73d43987651d0d804",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-25T10:42:33Z",
    "title_canon_sha256": "975a0434dd4539f52f90bcc5df8c1be78b375fe3fb7657e3f3ab669e3aadfb3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06102",
    "kind": "arxiv",
    "version": 2
  }
}