Pith Number

pith:5S3VLVAQ

pith:2014:5S3VLVAQRO6DKXOVRRPGDKPDLI

not attested not anchored not stored refs pending

$\ell_p$ Testing and Learning of Discrete Distributions

Bo Waggoner

arxiv:1412.2314 v4 · 2014-12-07 · cs.DS · cs.LG · 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{5S3VLVAQRO6DKXOVRRPGDKPDLI}

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	2026-05-18T02:20:39.690109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb755d4108bbc355dd58c5e61a9e35a230fddf4ba95c9c3dfb0952dff87511b

Aliases

arxiv: 1412.2314 · arxiv_version: 1412.2314v4 · doi: 10.48550/arxiv.1412.2314 · pith_short_12: 5S3VLVAQRO6D · pith_short_16: 5S3VLVAQRO6DKXOV · pith_short_8: 5S3VLVAQ

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/5S3VLVAQRO6DKXOVRRPGDKPDLI \
  | 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: ecb755d4108bbc355dd58c5e61a9e35a230fddf4ba95c9c3dfb0952dff87511b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "857bcf73c472680e48597a155726bda3ba09711d17ac35c39d16b67826e02697",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2014-12-07T03:57:29Z",
    "title_canon_sha256": "bb1d7f823dc8f2a15eff4deca90e9c2ffa7a0b1c277921e1d0d4568775cb0c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2314",
    "kind": "arxiv",
    "version": 4
  }
}