Pith Number

pith:JQZFJQGE

pith:2011:JQZFJQGETDJ5PIMEIS2BOX3Z7I

not attested not anchored not stored refs pending

Testing $k$-Modal Distributions: Optimal Algorithms via Reductions

Constantinos Daskalakis, Gregory Valiant, Ilias Diakonikolas, Paul Valiant, Rocco A. Servedio

arxiv:1112.5659 v1 · 2011-12-23 · cs.DS · math.PR · 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{JQZFJQGETDJ5PIMEIS2BOX3Z7I}

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	2026-05-18T04:05:46.334011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c3254c0c498d3d7a18444b4175f79fa03e76377bee7abd9b6fbe4d7a7103b2d

Aliases

arxiv: 1112.5659 · arxiv_version: 1112.5659v1 · doi: 10.48550/arxiv.1112.5659 · pith_short_12: JQZFJQGETDJ5 · pith_short_16: JQZFJQGETDJ5PIME · pith_short_8: JQZFJQGE

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/JQZFJQGETDJ5PIMEIS2BOX3Z7I \
  | 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: 4c3254c0c498d3d7a18444b4175f79fa03e76377bee7abd9b6fbe4d7a7103b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d0ad53bd6f19c22eead4aa4612239d08ddffccb6be8fb34c9d39e0f11d1f727",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-12-23T20:50:05Z",
    "title_canon_sha256": "65a40ad2eaa1ecdadd1532c16223d374b5f13f8ab809ef1786662a4e4ea7577c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5659",
    "kind": "arxiv",
    "version": 1
  }
}