Pith Number

pith:AQLCH4BO

pith:2019:AQLCH4BOEHKPDHDDIGGDJ6EHO3

not attested not anchored not stored refs pending

On the Spectrum of Self--Adjoint L\'{e}vy Generators

David Applebaum

arxiv:1904.07548 v1 · 2019-04-16 · math.PR · 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{AQLCH4BOEHKPDHDDIGGDJ6EHO3}

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	2026-05-17T23:48:24.896408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

041623f02e21d4f19c63418c34f88776d75ea803151971032209d112ffa0aeda

Aliases

arxiv: 1904.07548 · arxiv_version: 1904.07548v1 · doi: 10.48550/arxiv.1904.07548 · pith_short_12: AQLCH4BOEHKP · pith_short_16: AQLCH4BOEHKPDHDD · pith_short_8: AQLCH4BO

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/AQLCH4BOEHKPDHDDIGGDJ6EHO3 \
  | 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: 041623f02e21d4f19c63418c34f88776d75ea803151971032209d112ffa0aeda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da875de2ad50c863142a2d26168ca8baf21d5fed2ce29a3ac97e97039b3c99c4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-16T09:24:14Z",
    "title_canon_sha256": "5ec1f60f0085fbfb7c00e9907347022b41afa66b81a45547e1b902338ab68162"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.07548",
    "kind": "arxiv",
    "version": 1
  }
}