Pith Number

pith:ZXV3YXRT

pith:2010:ZXV3YXRTDTOEW3SJNDTMAZ33HE

not attested not anchored not stored refs pending

On monotone convolution and monotone infinite divisivility

Takahiro Hasebe

arxiv:1002.3430 v2 · 2010-02-18 · math.OA · 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{ZXV3YXRTDTOEW3SJNDTMAZ33HE}

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	2026-05-18T04:41:44.846232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdebbc5e331cdc4b6e4968e6c0677b392e9e4a3a31d02aa7d2f6b4d00b43c495

Aliases

arxiv: 1002.3430 · arxiv_version: 1002.3430v2 · doi: 10.48550/arxiv.1002.3430 · pith_short_12: ZXV3YXRTDTOE · pith_short_16: ZXV3YXRTDTOEW3SJ · pith_short_8: ZXV3YXRT

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/ZXV3YXRTDTOEW3SJNDTMAZ33HE \
  | 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: cdebbc5e331cdc4b6e4968e6c0677b392e9e4a3a31d02aa7d2f6b4d00b43c495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cf7affc887cecde0cac62ca693b5f5cca864cc33b96c55d15985787596ad09d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-02-18T05:59:32Z",
    "title_canon_sha256": "eb644258012da020d95eee57f6db4347962baed8f48a46c15bd1a950cf07cd2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3430",
    "kind": "arxiv",
    "version": 2
  }
}