Pith Number

pith:LNWW3MT4

pith:2009:LNWW3MT4U6PHLU2V52ZKZPONBK

not attested not anchored not stored refs pending

The Monotone Cumulants

Hayato Saigo, Takahiro Hasebe

arxiv:0907.4896 v3 · 2009-07-28 · math.PR · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNWW3MT4U6PHLU2V52ZKZPONBK}

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	2026-05-18T02:12:47.111179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6d6db27ca79e75d355eeb2acbdcd0aaf62952f47200763a673af9e96c295c9

Aliases

arxiv: 0907.4896 · arxiv_version: 0907.4896v3 · doi: 10.48550/arxiv.0907.4896 · pith_short_12: LNWW3MT4U6PH · pith_short_16: LNWW3MT4U6PHLU2V · pith_short_8: LNWW3MT4

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/LNWW3MT4U6PHLU2V52ZKZPONBK \
  | 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: 5b6d6db27ca79e75d355eeb2acbdcd0aaf62952f47200763a673af9e96c295c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df059b1a0090f3a14ce870a1b87042f00a7b03f37820629b7a3737bbb99940b5",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-07-28T12:13:45Z",
    "title_canon_sha256": "970e240d02331a9c04d89ddc64bd842ed13b8444d6d791662eb97decd678c6f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.4896",
    "kind": "arxiv",
    "version": 3
  }
}