Pith Number

pith:PCD2KJ4E

pith:2025:PCD2KJ4ESWKBDN37QGHYST4FNX

not attested not anchored not stored refs pending

Sampling and Identity-Testing Without Approximate Tensorization of Entropy

Nicholas Kocurek, Ryan O'Donnell, William Gay, William He

arxiv:2506.23456 v1 · 2025-06-30 · math.ST · cs.DS · cs.LG · stat.ML · 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{PCD2KJ4ESWKBDN37QGHYST4FNX}

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.

Cited by

1 paper in Pith

On Computing Total Variation Distance Between Mixtures of Product Distributions

Receipt and verification

First computed	2026-07-05T11:29:21.939259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7887a52784959411b77f818f894f856de6aa379a5bfcbed278bededd22df3022

Aliases

arxiv: 2506.23456 · arxiv_version: 2506.23456v1 · doi: 10.48550/arxiv.2506.23456 · pith_short_12: PCD2KJ4ESWKB · pith_short_16: PCD2KJ4ESWKBDN37 · pith_short_8: PCD2KJ4E

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/PCD2KJ4ESWKBDN37QGHYST4FNX \
  | 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: 7887a52784959411b77f818f894f856de6aa379a5bfcbed278bededd22df3022

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6053d736e31571c3c1386988b01b0aa2d27668f158b8594bd38dd1e891958f9",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-06-30T01:36:32Z",
    "title_canon_sha256": "abc4acffeb1a3bab58abdd394c1cde390a7389f1577a96021ff49faa5afde1f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23456",
    "kind": "arxiv",
    "version": 1
  }
}