Pith Number

pith:SC3NNYA6

pith:2023:SC3NNYA6JNX7K7QT4R2GR5UTOV

not attested not anchored not stored refs pending

On the existence of powerful p-values and e-values for composite hypotheses

Aaditya Ramdas, Ruodu Wang, Zhenyuan Zhang

arxiv:2305.16539 v4 · 2023-05-25 · math.ST · cs.IT · math.IT · math.PR · stat.ME · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SC3NNYA6JNX7K7QT4R2GR5UTOV}

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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

Testing maximum entropy models with e-values

Receipt and verification

First computed	2026-07-05T09:42:19.079176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90b6d6e01e4b6ff57e13e47468f6937565cf690fbe2973cbfea33a58851396f7

Aliases

arxiv: 2305.16539 · arxiv_version: 2305.16539v4 · doi: 10.48550/arxiv.2305.16539 · pith_short_12: SC3NNYA6JNX7 · pith_short_16: SC3NNYA6JNX7K7QT · pith_short_8: SC3NNYA6

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/SC3NNYA6JNX7K7QT4R2GR5UTOV \
  | 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: 90b6d6e01e4b6ff57e13e47468f6937565cf690fbe2973cbfea33a58851396f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bff6d39034c9ea95ce27ba3d382b047190a0d65f59b66ef5fb199c79142c9db",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-05-25T23:43:21Z",
    "title_canon_sha256": "fd90cfa7fa5de0d8d29fc6c53208cc91ced0c4dc7a8c7f7865f15b92b62533b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.16539",
    "kind": "arxiv",
    "version": 4
  }
}