Pith Number

pith:KQNIFQZZ

pith:2012:KQNIFQZZQ3Q2DZTADPQNUL4GU5

not attested not anchored not stored refs pending

Multidimensional polynomial Euler products and infinitely divisible distributions on R^d

Takahiro Aoyama, Takashi Nakamura

arxiv:1204.4041 v5 · 2012-04-18 · math.PR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQNIFQZZQ3Q2DZTADPQNUL4GU5}

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	2026-05-18T00:46:21.449202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

541a82c33986e1a1e6601be0da2f86a75b66a9e65f4b4700a8b55b34dbe4ca9e

Aliases

arxiv: 1204.4041 · arxiv_version: 1204.4041v5 · doi: 10.48550/arxiv.1204.4041 · pith_short_12: KQNIFQZZQ3Q2 · pith_short_16: KQNIFQZZQ3Q2DZTA · pith_short_8: KQNIFQZZ

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/KQNIFQZZQ3Q2DZTADPQNUL4GU5 \
  | 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: 541a82c33986e1a1e6601be0da2f86a75b66a9e65f4b4700a8b55b34dbe4ca9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede1b449abfb3a08f589c983a6a4c7f8ba82644ad080333b389cc4e2a78c8625",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-18T10:35:43Z",
    "title_canon_sha256": "3559f4f7e6a987104db3ba266983fdd33109b8f040d45c7570d6c46ebdd8bcf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4041",
    "kind": "arxiv",
    "version": 5
  }
}