Pith Number

pith:QM6BSDIR

pith:2019:QM6BSDIRBQZSGU4QCGV6PFV7YN

not attested not anchored not stored refs pending

Nonlinear free L\'evy-Khinchine formula and conformal mapping

Philippe Biane

arxiv:1908.00755 v1 · 2019-08-02 · 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{QM6BSDIRBQZSGU4QCGV6PFV7YN}

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	2026-07-04T23:51:09.224039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

833c190d110c3323539011abe796bfc356a0c934a656776abd6bbff2a5345aed

Aliases

arxiv: 1908.00755 · arxiv_version: 1908.00755v1 · doi: 10.48550/arxiv.1908.00755 · pith_short_12: QM6BSDIRBQZS · pith_short_16: QM6BSDIRBQZSGU4Q · pith_short_8: QM6BSDIR

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/QM6BSDIRBQZSGU4QCGV6PFV7YN \
  | 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: 833c190d110c3323539011abe796bfc356a0c934a656776abd6bbff2a5345aed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aaaca9bec7af82797c28e96c25e84a56f4ea9cf69256217fa33e404ac41e4d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-02T08:35:03Z",
    "title_canon_sha256": "0b3e2ad7046be9b625629510097112ef19dacb8e71261f29c39882bc5c705dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00755",
    "kind": "arxiv",
    "version": 1
  }
}