Pith Number

pith:CQ3WHP6A

pith:2026:CQ3WHP6AQEGAB7JVL2VH2RCJR4

not attested not anchored not stored refs pending

Semiparametric Efficiency Theory as Differential Calculus on a Space of Probability Distributions

Razieh Nabi

arxiv:2606.22784 v1 · 2026-06-22 · stat.ME · 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{CQ3WHP6AQEGAB7JVL2VH2RCJR4}

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	2026-06-23T02:13:54.438802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143763bfc0810c00fd355eaa7d44498f2567009ab97c5a90718cb44cb2acb716

Aliases

arxiv: 2606.22784 · arxiv_version: 2606.22784v1 · doi: 10.48550/arxiv.2606.22784 · pith_short_12: CQ3WHP6AQEGA · pith_short_16: CQ3WHP6AQEGAB7JV · pith_short_8: CQ3WHP6A

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/CQ3WHP6AQEGAB7JVL2VH2RCJR4 \
  | 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: 143763bfc0810c00fd355eaa7d44498f2567009ab97c5a90718cb44cb2acb716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98eafbe891f2e6e89e964685af3b1eb617e7869eb39c916d26e27bc4d6668600",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-22T02:47:03Z",
    "title_canon_sha256": "fd31d6ad2c1cd3fa2f89c036c969634c95a7181fb022c4a877c5abb0c06e39d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22784",
    "kind": "arxiv",
    "version": 1
  }
}