Pith Number

pith:MGD5EFLN

pith:2015:MGD5EFLNIYQXZIW6NHWH4D7M6F

not attested not anchored not stored refs pending

Spectral multipliers for the Kohn Laplacian on forms on the sphere in $\mathbb{C}^n$

Adam Sikora, Alessio Martini, Michael G. Cowling, Valentina Casarino

arxiv:1501.02321 v2 · 2015-01-10 · math.AP · 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{MGD5EFLNIYQXZIW6NHWH4D7M6F}

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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	2026-05-17T23:58:15.352105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6187d2156d46217ca2de69ec7e0fecf16c8a9d7509ce5931fb9e95289eeb8fa9

Aliases

arxiv: 1501.02321 · arxiv_version: 1501.02321v2 · doi: 10.48550/arxiv.1501.02321 · pith_short_12: MGD5EFLNIYQX · pith_short_16: MGD5EFLNIYQXZIW6 · pith_short_8: MGD5EFLN

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/MGD5EFLNIYQXZIW6NHWH4D7M6F \
  | 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: 6187d2156d46217ca2de69ec7e0fecf16c8a9d7509ce5931fb9e95289eeb8fa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e876cb80a99b909e8c0adc2b750b7a22a32d5857e49b64bf837b0cd83a18a41",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-10T08:53:39Z",
    "title_canon_sha256": "8329f64c8b1beef2e4bdefaf0dc7d38ff61fa841b3c59266dd783c2ae94af5ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02321",
    "kind": "arxiv",
    "version": 2
  }
}