Pith Number

pith:3DRDOMGX

pith:2011:3DRDOMGXITGER3WXO3WPHLNISK

not attested not anchored not stored refs pending

Learning $k$-Modal Distributions via Testing

Constantinos Daskalakis, Ilias Diakonikolas, Rocco A. Servedio

arxiv:1107.2700 v3 · 2011-07-13 · 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{3DRDOMGXITGER3WXO3WPHLNISK}

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	2026-05-18T02:42:54.414738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e23730d744cc48eed776ecf3ada89290417fc1d6bd27a672a4a2668e1b5d0b

Aliases

arxiv: 1107.2700 · arxiv_version: 1107.2700v3 · doi: 10.48550/arxiv.1107.2700 · pith_short_12: 3DRDOMGXITGE · pith_short_16: 3DRDOMGXITGER3WX · pith_short_8: 3DRDOMGX

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/3DRDOMGXITGER3WXO3WPHLNISK \
  | 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: d8e23730d744cc48eed776ecf3ada89290417fc1d6bd27a672a4a2668e1b5d0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeeeecde5bb1f599c44fb1e8ccfc218264cb748aba107329ac3f73f682fe6ab9",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-07-13T23:26:53Z",
    "title_canon_sha256": "4f9cca5e408fd8156b07008ba75a33b40fb34ca1eecdaeed56d2d922fe4a09f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2700",
    "kind": "arxiv",
    "version": 3
  }
}