Pith Number

pith:4MLGE4P4

pith:2012:4MLGE4P42C2PTXNISPYOSHESTA

not attested not anchored not stored refs pending

Estimation of entropy-type integral functionals

David K\"allberg, Oleg Seleznjev

arxiv:1209.2544 v4 · 2012-09-12 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MLGE4P42C2PTXNISPYOSHESTA}

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	2026-05-18T03:31:33.829037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3166271fcd0b4f9dda893f0e91c9298133ddfa2cbac11f07486d62695f0fa65

Aliases

arxiv: 1209.2544 · arxiv_version: 1209.2544v4 · doi: 10.48550/arxiv.1209.2544 · pith_short_12: 4MLGE4P42C2P · pith_short_16: 4MLGE4P42C2PTXNI · pith_short_8: 4MLGE4P4

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/4MLGE4P42C2PTXNISPYOSHESTA \
  | 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: e3166271fcd0b4f9dda893f0e91c9298133ddfa2cbac11f07486d62695f0fa65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dca25daedf419d3ae1066cb492ca99ec6b335f147cca79443697b38781d5233e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-09-12T10:05:17Z",
    "title_canon_sha256": "ca2669e312dd33fdb17b1552c40abd05b4ba28d5463ceefeee8e4de867cfa0a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2544",
    "kind": "arxiv",
    "version": 4
  }
}