Pith. sign in
Pith Number

pith:PG2VOZRO

pith:2022:PG2VOZROHMQDUOYANEOFN3D33W
not attested not anchored not stored refs pending

An Efficient HPR Algorithm for the Wasserstein Barycenter Problem with $O({Dim(P)}/\varepsilon)$ Computational Complexity

Defeng Sun, Guojun Zhang, Yancheng Yuan

arxiv:2211.14881 v1 · 2022-11-27 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PG2VOZROHMQDUOYANEOFN3D33W}

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

2 papers in Pith

Receipt and verification
First computed 2026-07-05T05:19:44.858949Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

79b557662e3b203a3b00691c56ec7bdda7276a0bf820b846b4454431d5d3572b

Aliases

arxiv: 2211.14881 · arxiv_version: 2211.14881v1 · doi: 10.48550/arxiv.2211.14881 · pith_short_12: PG2VOZROHMQD · pith_short_16: PG2VOZROHMQDUOYA · pith_short_8: PG2VOZRO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PG2VOZROHMQDUOYANEOFN3D33W \
  | 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: 79b557662e3b203a3b00691c56ec7bdda7276a0bf820b846b4454431d5d3572b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "471155ac5da4ba6ac183294ecaa08fb810f948cc1f996da223f542893aceb88a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-11-27T16:34:58Z",
    "title_canon_sha256": "d3f35fd601f1df711b0ffdda5321c5c4f7a1ac8c0b056429f8edc59233c02aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.14881",
    "kind": "arxiv",
    "version": 1
  }
}