Pith Number

pith:47LKLV23

pith:2011:47LKLV23XEXNZ53VONLCNRLO2W

not attested not anchored not stored refs pending

On regularity for measures in multiplicative free convolution semigroups

Ping Zhong

arxiv:1112.2783 v2 · 2011-12-13 · math.FA

Open paper page JSON 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

Receipt and verification

First computed	2026-05-18T02:21:27.273784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7d6a5d75bb92edcf775735626c56ed592e4590fe69dbd51db80f65c09b66740

Aliases

arxiv: 1112.2783 · arxiv_version: 1112.2783v2 · doi: 10.48550/arxiv.1112.2783 · pith_short_12: 47LKLV23XEXN · pith_short_16: 47LKLV23XEXNZ53V · pith_short_8: 47LKLV23

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/47LKLV23XEXNZ53VONLCNRLO2W \
  | 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: e7d6a5d75bb92edcf775735626c56ed592e4590fe69dbd51db80f65c09b66740

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "038eb7990d888843d534732618c668c69b9c4d3236d88524a8cf5f280086856a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-13T03:25:58Z",
    "title_canon_sha256": "35d3f75dd8e6c2faf495789caed18c20097ee19092e9a8d7afad0bb102c63fab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2783",
    "kind": "arxiv",
    "version": 2
  }
}