Pith Number

pith:5FO4AMD6

pith:2016:5FO4AMD6DQXI2YYOVC7BTL6PA3

not attested not anchored not stored refs pending

Potential kernels, probabilities of hitting a ball, harmonic functions and the boundary Harnack inequality for unimodal L\'evy processes

Mateusz Kwa\'snicki, Tomasz Grzywny

arxiv:1611.10304 v2 · 2016-11-30 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FO4AMD6DQXI2YYOVC7BTL6PA3}

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	2026-05-18T00:43:58.696159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95dc0307e1c2e8d630ea8be19afcf06c19f662de12710ba485c0a09a9978882

Aliases

arxiv: 1611.10304 · arxiv_version: 1611.10304v2 · doi: 10.48550/arxiv.1611.10304 · pith_short_12: 5FO4AMD6DQXI · pith_short_16: 5FO4AMD6DQXI2YYO · pith_short_8: 5FO4AMD6

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/5FO4AMD6DQXI2YYOVC7BTL6PA3 \
  | 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: e95dc0307e1c2e8d630ea8be19afcf06c19f662de12710ba485c0a09a9978882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e920fc637f70f0baa4730477413e50c14cbf21272e71c9f754e2f3e2088b09",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-30T18:45:47Z",
    "title_canon_sha256": "d3f2703ee8b8398a0f8c268b2c21c9a44e15bcb63a8fb956512f691870944027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10304",
    "kind": "arxiv",
    "version": 2
  }
}