Pith Number

pith:CHDPB3G7

pith:2011:CHDPB3G7ZKF6UNUORPDZECDLMW

not attested not anchored not stored refs pending

A note on a variance bound for the multinomial and the negative multinomial distribution

G. Afendras, V. Papathanasiou

arxiv:1110.3265 v2 · 2011-10-14 · 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{CHDPB3G7ZKF6UNUORPDZECDLMW}

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	2026-05-18T00:13:38.421476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11c6f0ecdfca8bea368e8bc792086b65b4775608d35d31404bbc0cd01cb17642

Aliases

arxiv: 1110.3265 · arxiv_version: 1110.3265v2 · doi: 10.48550/arxiv.1110.3265 · pith_short_12: CHDPB3G7ZKF6 · pith_short_16: CHDPB3G7ZKF6UNUO · pith_short_8: CHDPB3G7

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/CHDPB3G7ZKF6UNUORPDZECDLMW \
  | 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: 11c6f0ecdfca8bea368e8bc792086b65b4775608d35d31404bbc0cd01cb17642

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ed0d692ae777767bdb366f4d10f813f3deee6f016d18a4e609a532dde405b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-14T17:06:23Z",
    "title_canon_sha256": "9bfbcdb2066400b0d83b994d1a0424f8ff173180a20eb5476f756dba2f4c3d35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3265",
    "kind": "arxiv",
    "version": 2
  }
}