Pith Number

pith:ITYX2UIL

pith:2026:ITYX2UIL3SFSGXSRG3VPNGRSSI

not attested not anchored not stored refs pending

Sample complexity of unbalanced entropic OT

Clarice Poon, Francisco Andrade, Gabriel Peyr\'e

arxiv:2606.24987 v1 · 2026-06-23 · math.ST · cs.LG · 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{ITYX2UIL3SFSGXSRG3VPNGRSSI}

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	2026-06-25T00:17:47.621847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44f17d510bdc8b235e5136eaf69a32923e3ffbd158eb7e32dec5e91da50d18a3

Aliases

arxiv: 2606.24987 · arxiv_version: 2606.24987v1 · doi: 10.48550/arxiv.2606.24987 · pith_short_12: ITYX2UIL3SFS · pith_short_16: ITYX2UIL3SFSGXSR · pith_short_8: ITYX2UIL

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/ITYX2UIL3SFSGXSRG3VPNGRSSI \
  | 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: 44f17d510bdc8b235e5136eaf69a32923e3ffbd158eb7e32dec5e91da50d18a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e255bac3b597c719561bef2782c61813413b046141acb2fbbc775747f764f535",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-23T14:25:47Z",
    "title_canon_sha256": "23774b7a996c72d18a1f91c9f9a3f686ad97dfcf38213a289fb0b226f171e93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24987",
    "kind": "arxiv",
    "version": 1
  }
}