Pith Number

pith:QR4CFWSB

pith:2010:QR4CFWSB26EKRV3UCU2NELRSOC

not attested not anchored not stored refs pending

Some results on random fields admitting a spectral representation with infinitely divisible integrator

Wolfgang Karcher

arxiv:1010.4879 v1 · 2010-10-23 · 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{QR4CFWSB26EKRV3UCU2NELRSOC}

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	2026-05-18T04:38:49.964201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847822da41d788a8d7741534d22e327092e50325d7a739bfbb5bc42d381d3625

Aliases

arxiv: 1010.4879 · arxiv_version: 1010.4879v1 · doi: 10.48550/arxiv.1010.4879 · pith_short_12: QR4CFWSB26EK · pith_short_16: QR4CFWSB26EKRV3U · pith_short_8: QR4CFWSB

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/QR4CFWSB26EKRV3UCU2NELRSOC \
  | 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: 847822da41d788a8d7741534d22e327092e50325d7a739bfbb5bc42d381d3625

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cba8e5dbf43a1b0f64474c6a79b850e3d94d35ce8e197516e9b2f45860e50a80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-23T13:53:33Z",
    "title_canon_sha256": "1d0cf7b16ef23c9476dd164d1a84c386d5fc264323daf8d05b2a8b4756ac0c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4879",
    "kind": "arxiv",
    "version": 1
  }
}