Pith Number

pith:SW7CWSKJ

pith:2015:SW7CWSKJCSSP3Y63SP3SFRFSD5

not attested not anchored not stored refs pending

Riesz transform for $1 \leq p \le 2$ without Gaussian heat kernel bound

Emmanuel Russ (IF), Joseph Feneuil (University of Minnesota), Li Chen (ICMAT), Thierry Coulhon

arxiv:1510.08275 v1 · 2015-10-28 · math.CA · math.FA

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

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	2026-05-18T01:28:36.625876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95be2b494914a4fde3db93f722c4b21f6d415a09166817bfbaa83533f491afed

Aliases

arxiv: 1510.08275 · arxiv_version: 1510.08275v1 · doi: 10.48550/arxiv.1510.08275 · pith_short_12: SW7CWSKJCSSP · pith_short_16: SW7CWSKJCSSP3Y63 · pith_short_8: SW7CWSKJ

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/SW7CWSKJCSSP3Y63SP3SFRFSD5 \
  | 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: 95be2b494914a4fde3db93f722c4b21f6d415a09166817bfbaa83533f491afed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fcea5ac662ea88e04a5382ff491c83ba0f4ec1804573243aa737e48803228c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-28T12:00:24Z",
    "title_canon_sha256": "564a35127377d511d1c0138d2c52801e9da518bae43214f06e42cbcc7b977674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08275",
    "kind": "arxiv",
    "version": 1
  }
}