Pith Number

pith:FD6AC2SN

pith:2020:FD6AC2SNC2QJ6AFRPAX32YCZR3

not attested not anchored not stored refs pending

Distributed Optimization with Quantization for Computing Wasserstein Barycenters

Alexander Gasnikov, C\'esar A. Uribe, Pavel Dvurechensky, Roman Krawtschenko

arxiv:2010.14325 v1 · 2020-10-27 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FD6AC2SNC2QJ6AFRPAX32YCZR3}

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.

Cited by

1 paper in Pith

Decentralised convex optimisation with probability-proportional-to-size quantization

Receipt and verification

First computed	2026-07-05T01:46:33.958051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28fc016a4d16a09f00b1782fbd60598eccbb3f617fe83c51b715088ed54ca0fc

Aliases

arxiv: 2010.14325 · arxiv_version: 2010.14325v1 · doi: 10.48550/arxiv.2010.14325 · pith_short_12: FD6AC2SNC2QJ · pith_short_16: FD6AC2SNC2QJ6AFR · pith_short_8: FD6AC2SN

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/FD6AC2SNC2QJ6AFRPAX32YCZR3 \
  | 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: 28fc016a4d16a09f00b1782fbd60598eccbb3f617fe83c51b715088ed54ca0fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cd111e3c46bb5d1a96b8dfabec39d93220aaacf36f0507e224ff51c8cf18dde",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-10-27T14:35:10Z",
    "title_canon_sha256": "8ea9c51824107460d2e208813e520cb05b21e3d673af69b9aafd3762aadc92c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.14325",
    "kind": "arxiv",
    "version": 1
  }
}