Pith Number

pith:W25OP22M

pith:2013:W25OP22MW7FLJMQRQSOOH4IMLU

not attested not anchored not stored refs pending

Zeros of densities and decomposition problem for multidimensional entire characteristic functions of order 2

Monika Maj, Zbigniew Pasternak-Winiarski

arxiv:1304.7621 v1 · 2013-04-29 · 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{W25OP22MW7FLJMQRQSOOH4IMLU}

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	2026-05-18T03:26:53.475546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6bae7eb4cb7cab4b211849ce3f10c5d143298bd44c9a468b11a55bc1cb04fe6

Aliases

arxiv: 1304.7621 · arxiv_version: 1304.7621v1 · doi: 10.48550/arxiv.1304.7621 · pith_short_12: W25OP22MW7FL · pith_short_16: W25OP22MW7FLJMQR · pith_short_8: W25OP22M

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/W25OP22MW7FLJMQRQSOOH4IMLU \
  | 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: b6bae7eb4cb7cab4b211849ce3f10c5d143298bd44c9a468b11a55bc1cb04fe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e7002fc25dff604f7d142fa723ceb6e9e01b7b4b8b9f42ac4703fc04952a789",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-29T11:30:25Z",
    "title_canon_sha256": "a34c48fb45d6b62861f45cc5e07e935f3f967e688e9bfbfec9e7cc391b5fff9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7621",
    "kind": "arxiv",
    "version": 1
  }
}