Pith Number

pith:MPGPKWS4

pith:2018:MPGPKWS4KHK4YP6UMR64ECCRQR

not attested not anchored not stored refs pending

Distributed Computation of Wasserstein Barycenters over Networks

Alexander Gasnikov, Angelia Nedi\'c, C\'esar A. Uribe, Darina Dvinskikh, Pavel Dvurechensky

arxiv:1803.02933 v2 · 2018-03-08 · math.OC · cs.DC · cs.MA · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MPGPKWS4KHK4YP6UMR64ECCRQR}

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	2026-05-18T00:05:14.211030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63ccf55a5c51d5cc3fd4647dc208518447ab14352515f111152853bdf07fae7f

Aliases

arxiv: 1803.02933 · arxiv_version: 1803.02933v2 · doi: 10.48550/arxiv.1803.02933 · pith_short_12: MPGPKWS4KHK4 · pith_short_16: MPGPKWS4KHK4YP6U · pith_short_8: MPGPKWS4

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/MPGPKWS4KHK4YP6UMR64ECCRQR \
  | 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: 63ccf55a5c51d5cc3fd4647dc208518447ab14352515f111152853bdf07fae7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af86d6c432f7af2f63f843eabc496034995c0eb30131048f38b38d51db8ca0af",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.MA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-03-08T01:32:06Z",
    "title_canon_sha256": "d9ad292f1f3ebc096667d8256ec6429806ab36dc40ae7c9ef0eedb07cdd70433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02933",
    "kind": "arxiv",
    "version": 2
  }
}