Pith Number

pith:62H73X4C

pith:2012:62H73X4CWSHGKWRHH4ICVJBFRX

not attested not anchored not stored refs pending

L\'{e}vy Laplacian for Square Roots of Measures

Hiroaki Kakuma

arxiv:1212.4205 v2 · 2012-12-18 · math.FA · 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{62H73X4CWSHGKWRHH4ICVJBFRX}

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	2026-05-18T03:32:59.771001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f68ffddf82b48e655a273f102aa4258dcdc4e43a80ee5eac135b6b135c242bae

Aliases

arxiv: 1212.4205 · arxiv_version: 1212.4205v2 · doi: 10.48550/arxiv.1212.4205 · pith_short_12: 62H73X4CWSHG · pith_short_16: 62H73X4CWSHGKWRH · pith_short_8: 62H73X4C

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/62H73X4CWSHGKWRHH4ICVJBFRX \
  | 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: f68ffddf82b48e655a273f102aa4258dcdc4e43a80ee5eac135b6b135c242bae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ab79ad3609f3ad2e3a8eddd00929296aaf09fdd3d68a97e30f3ea46ef8e290",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-12-18T00:56:35Z",
    "title_canon_sha256": "c839977ab8db91120380d752bc8ee73c9b96565d371a377cd60af9f814fec2ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4205",
    "kind": "arxiv",
    "version": 2
  }
}