Pith Number

pith:KV6AHLAX

pith:2015:KV6AHLAX6KWB7OSFTCA5FXXOTU

not attested not anchored not stored refs pending

On the Hausdorff Continuity of Free L\`evy Processes and Free Convolution Semigroups

John D. Williams

arxiv:1510.00003 v2 · 2015-09-30 · math.OA · math.CA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KV6AHLAX6KWB7OSFTCA5FXXOTU}

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	2026-05-18T01:10:18.298007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

557c03ac17f2ac1fba459881d2deee9d07b0330b5bd446672cf9f35e2adaf847

Aliases

arxiv: 1510.00003 · arxiv_version: 1510.00003v2 · doi: 10.48550/arxiv.1510.00003 · pith_short_12: KV6AHLAX6KWB · pith_short_16: KV6AHLAX6KWB7OSF · pith_short_8: KV6AHLAX

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/KV6AHLAX6KWB7OSFTCA5FXXOTU \
  | 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: 557c03ac17f2ac1fba459881d2deee9d07b0330b5bd446672cf9f35e2adaf847

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7494b9ad4c45bc23d87861ede73ca512ce766e0c4d4f0c081d752a01214c765c",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-09-30T19:19:38Z",
    "title_canon_sha256": "21a4b0319c50451ab6e61f60567c6f2e02fdfd205d1c2432dcaca821a68818dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00003",
    "kind": "arxiv",
    "version": 2
  }
}