Pith Number

pith:33DFHH4L

pith:2016:33DFHH4LYQHZYHUHKQFMVP5RHG

not attested not anchored not stored refs pending

Admissible decomposition for spectral multipliers on Gaussian L^p

Mikko Kemppainen

arxiv:1608.03747 v1 · 2016-08-12 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33DFHH4LYQHZYHUHKQFMVP5RHG}

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	2026-05-18T00:09:05.927958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dec6539f8bc40f9c1e87540acabfb139979f4d5948c8c53b2ce29355014e02e2

Aliases

arxiv: 1608.03747 · arxiv_version: 1608.03747v1 · doi: 10.48550/arxiv.1608.03747 · pith_short_12: 33DFHH4LYQHZ · pith_short_16: 33DFHH4LYQHZYHUH · pith_short_8: 33DFHH4L

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/33DFHH4LYQHZYHUHKQFMVP5RHG \
  | 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: dec6539f8bc40f9c1e87540acabfb139979f4d5948c8c53b2ce29355014e02e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c2cfab1d0e4f1eba184f534355734ae62a60f5970e60201827f4707faf921f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-12T11:00:03Z",
    "title_canon_sha256": "d2b1eeaa238f025ecb425d80073386d0f6feea3056d536d29ec6b4b17ac4b46f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03747",
    "kind": "arxiv",
    "version": 1
  }
}