Pith Number

pith:NPUVDZL2

pith:2011:NPUVDZL2S2UKU72WMQ3CIOJSWH

not attested not anchored not stored refs pending

Geometric property of the Ground State Eigenfunction for Cauchy Process

Ki-Ahm Lee, SungHoon Kim

arxiv:1105.3283 v4 · 2011-05-17 · 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{NPUVDZL2S2UKU72WMQ3CIOJSWH}

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	2026-05-18T03:28:19.841965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be951e57a96a8aa7f566436243932b1f0e60d4e54c762f86a7e26fdc9ca3708

Aliases

arxiv: 1105.3283 · arxiv_version: 1105.3283v4 · doi: 10.48550/arxiv.1105.3283 · pith_short_12: NPUVDZL2S2UK · pith_short_16: NPUVDZL2S2UKU72W · pith_short_8: NPUVDZL2

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/NPUVDZL2S2UKU72WMQ3CIOJSWH \
  | 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: 6be951e57a96a8aa7f566436243932b1f0e60d4e54c762f86a7e26fdc9ca3708

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42347d94203071b1fecc6320a0b7a7649715a246b44531c75bb9b8f4f17b60cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-17T06:10:25Z",
    "title_canon_sha256": "aec23c70e54bfcf6117d6fc759146d3cfe17d2b9dbdcd43fa6542b2a8e380ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3283",
    "kind": "arxiv",
    "version": 4
  }
}