Pith Number

pith:IW5EUQZ4

pith:2013:IW5EUQZ47ELB42NQDAWFBETEF7

not attested not anchored not stored refs pending

Distance-based and continuum Fano inequalities with applications to statistical estimation

John C. Duchi, Martin J. Wainwright

arxiv:1311.2669 v2 · 2013-11-12 · 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{IW5EUQZ47ELB42NQDAWFBETEF7}

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	2026-05-18T03:03:31.644484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45ba4a433cf9161e69b0182c5092642fd58e3a07cb3da6b3e502eb8fc90540c5

Aliases

arxiv: 1311.2669 · arxiv_version: 1311.2669v2 · doi: 10.48550/arxiv.1311.2669 · pith_short_12: IW5EUQZ47ELB · pith_short_16: IW5EUQZ47ELB42NQ · pith_short_8: IW5EUQZ4

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/IW5EUQZ47ELB42NQDAWFBETEF7 \
  | 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: 45ba4a433cf9161e69b0182c5092642fd58e3a07cb3da6b3e502eb8fc90540c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b48950315b9857fc428cd76bbf41303fc6caeb21b2a799f7218191107fc9ca",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-11-12T04:38:18Z",
    "title_canon_sha256": "d53e93e4022218b1d2471301b47f87e656b9ec4a9578987031c272ee04d59391"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2669",
    "kind": "arxiv",
    "version": 2
  }
}