Pith Number

pith:KSGBPGCC

pith:2011:KSGBPGCCX3RYMONXYEP2PIVG42

not attested not anchored not stored refs pending

A new family of time-space harmonic polynomials with respect to L\'evy processes

E. Di Nardo, I. Oliva

arxiv:1108.0788 v3 · 2011-08-03 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSGBPGCCX3RYMONXYEP2PIVG42}

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	2026-05-18T03:57:00.559175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

548c179842bee38639b7c11fa7a2a6e6b8dbde101dd33010659793de988c9cd2

Aliases

arxiv: 1108.0788 · arxiv_version: 1108.0788v3 · doi: 10.48550/arxiv.1108.0788 · pith_short_12: KSGBPGCCX3RY · pith_short_16: KSGBPGCCX3RYMONX · pith_short_8: KSGBPGCC

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/KSGBPGCCX3RYMONXYEP2PIVG42 \
  | 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: 548c179842bee38639b7c11fa7a2a6e6b8dbde101dd33010659793de988c9cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad3492fb2998d03a8bf0c9fd77c1c13c16ae2e395b4e29a4cf76d9fa796338a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-03T08:55:39Z",
    "title_canon_sha256": "8c30c9fbdf135ab0971c30b633a265b04c86a7d4ebed74faea16842923ba4d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0788",
    "kind": "arxiv",
    "version": 3
  }
}