Pith Number

pith:TKP776UG

pith:2023:TKP776UGPP32JP2MBCOSFQ3ZXQ

not attested not anchored not stored refs pending

Optimal estimation of high-order missing masses, and the rare-type match problem

Stefano Favaro, Zacharie Naulet

arxiv:2306.14998 v2 · 2023-06-26 · 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{TKP776UGPP32JP2MBCOSFQ3ZXQ}

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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.

Cited by

1 paper in Pith

Gradient-free stochastic optimization of derivatives under strong convexity

Receipt and verification

First computed	2026-07-05T08:42:29.565490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9ffffa867bf7a4bf4c089d22c379bc119ca5fb680b7f7bb644b0fd6e2d9ce0

Aliases

arxiv: 2306.14998 · arxiv_version: 2306.14998v2 · doi: 10.48550/arxiv.2306.14998 · pith_short_12: TKP776UGPP32 · pith_short_16: TKP776UGPP32JP2M · pith_short_8: TKP776UG

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/TKP776UGPP32JP2MBCOSFQ3ZXQ \
  | 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: 9a9ffffa867bf7a4bf4c089d22c379bc119ca5fb680b7f7bb644b0fd6e2d9ce0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9136f7a4084afddcfc208adb62acd4778d31cdc6d7468484e5dfe0c9be39bf25",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-06-26T18:29:07Z",
    "title_canon_sha256": "342147686c430e648aa1f216d522af43474a55eee139d293f6c404a026629d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.14998",
    "kind": "arxiv",
    "version": 2
  }
}