Pith Number

pith:F7MMNSHS

pith:2026:F7MMNSHSO2ARJCWA3NUDEQRLUN

not attested not anchored not stored refs pending

Estimating the Wasserstein barycenter of one-dimensional distributions under sparse sampling

Florian Stijven, James Peng, Linbo Wang, Peter B. Gilbert

arxiv:2606.10096 v1 · 2026-06-08 · 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{F7MMNSHSO2ARJCWA3NUDEQRLUN}

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	2026-06-10T01:08:53.923954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fd8c6c8f27681148ac0db6832422ba375173c48e63074a81792cefa806be406

Aliases

arxiv: 2606.10096 · arxiv_version: 2606.10096v1 · doi: 10.48550/arxiv.2606.10096 · pith_short_12: F7MMNSHSO2AR · pith_short_16: F7MMNSHSO2ARJCWA · pith_short_8: F7MMNSHS

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/F7MMNSHSO2ARJCWA3NUDEQRLUN \
  | 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: 2fd8c6c8f27681148ac0db6832422ba375173c48e63074a81792cefa806be406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff59448ede7ab123818ac181ecbd5a69a8a91e7e534537ee560d2643e9f64e8e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-08T19:22:01Z",
    "title_canon_sha256": "5e458a9b9e6099869cafd0db724a9235cbb0b354c32ce6ee415f72d8c8bc63a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10096",
    "kind": "arxiv",
    "version": 1
  }
}