Pith Number

pith:BUS2PWIM

pith:2015:BUS2PWIM2TPU3Y6AEE6CD3J47N

not attested not anchored not stored refs pending

A fixed-point approach to barycenters in Wasserstein space

C. Matr\'an, E. del Barrio, J.A. Cuesta-Albertos, Pedro C. \'Alvarez-Esteban

arxiv:1511.05355 v3 · 2015-11-17 · stat.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUS2PWIM2TPU3Y6AEE6CD3J47N}

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	2026-05-18T01:16:29.452457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d25a7d90cd4df4de3c0213c21ed3cfb7f3d0d8860f9d732e41af1a56af8891c

Aliases

arxiv: 1511.05355 · arxiv_version: 1511.05355v3 · doi: 10.48550/arxiv.1511.05355 · pith_short_12: BUS2PWIM2TPU · pith_short_16: BUS2PWIM2TPU3Y6A · pith_short_8: BUS2PWIM

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/BUS2PWIM2TPU3Y6AEE6CD3J47N \
  | 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: 0d25a7d90cd4df4de3c0213c21ed3cfb7f3d0d8860f9d732e41af1a56af8891c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212f72f4d745e7801aa37a41436c675e24e4808ad0c858e415093c4f4fe795a1",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2015-11-17T11:41:02Z",
    "title_canon_sha256": "3421fe8f3fde12b9d3a533cc93541bf7933883945987b47713540e609557eec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05355",
    "kind": "arxiv",
    "version": 3
  }
}