Pith Number

pith:U5UTVMFU

pith:2026:U5UTVMFUOIJAJVEBZJHZVFSGFK

not attested not anchored not stored refs pending

Two-Sample Homogeneity Test via Entropic Optimal Transport

Hang Liu, Weiwei Zhuang, Yiming Ma

arxiv:2606.10767 v1 · 2026-06-09 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5UTVMFUOIJAJVEBZJHZVFSGFK}

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	2026-06-10T01:10:39.485382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7693ab0b4721204d481ca4f9a96462aa8a4553f7dd8db2cca6c920dda5cc9e5

Aliases

arxiv: 2606.10767 · arxiv_version: 2606.10767v1 · doi: 10.48550/arxiv.2606.10767 · pith_short_12: U5UTVMFUOIJA · pith_short_16: U5UTVMFUOIJAJVEB · pith_short_8: U5UTVMFU

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/U5UTVMFUOIJAJVEBZJHZVFSGFK \
  | 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: a7693ab0b4721204d481ca4f9a96462aa8a4553f7dd8db2cca6c920dda5cc9e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29258614fb8bd8cf049570ebaa3e0e57bfea1cdae5bca7e1eabe8299f4e804a5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-09T12:21:08Z",
    "title_canon_sha256": "02fedf154f13b7d346ccf03efcd658dc0cc92e6abadba7d508a33ee22fb368d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10767",
    "kind": "arxiv",
    "version": 1
  }
}