Pith Number

pith:FX4P2ROX

pith:2016:FX4P2ROX3GKRATWEBRD65FJDL7

not attested not anchored not stored refs pending

Minimum Rates of Approximate Sufficient Statistics

Masahito Hayashi, Vincent Y. F. Tan

arxiv:1612.02542 v2 · 2016-12-08 · cs.IT · math.IT · 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{FX4P2ROX3GKRATWEBRD65FJDL7}

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	2026-05-18T00:30:28.595198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df8fd45d7d995104ec40c47ee95235fe989234ee36cc7fb24be972b2b9bc203

Aliases

arxiv: 1612.02542 · arxiv_version: 1612.02542v2 · doi: 10.48550/arxiv.1612.02542 · pith_short_12: FX4P2ROX3GKR · pith_short_16: FX4P2ROX3GKRATWE · pith_short_8: FX4P2ROX

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/FX4P2ROX3GKRATWEBRD65FJDL7 \
  | 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: 2df8fd45d7d995104ec40c47ee95235fe989234ee36cc7fb24be972b2b9bc203

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257f6b90805797bbeb9c37cf6be82dbd952fa8f1d59a88bec2dc3a286da4224a",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-08T06:26:26Z",
    "title_canon_sha256": "b436ef6695c8df01781f1ab26b798b5e9547afbb132b17e98fc6893e19773661"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02542",
    "kind": "arxiv",
    "version": 2
  }
}