Pith Number

pith:RNNO2MTU

pith:2022:RNNO2MTUG5OY5OEA6NL6HSVXBC

not attested not anchored not stored refs pending

Accelerated Bregman Primal-Dual methods applied to Optimal Transport and Wasserstein Barycenter problems

Antonin Chambolle, Juan Pablo Contreras

arxiv:2203.00802 v2 · 2022-03-02 · 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{RNNO2MTUG5OY5OEA6NL6HSVXBC}

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	2026-07-05T04:53:27.129016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b5aed3274375d8eb880f357e3cab70890167b237dfa2b399c4bc93f847f614e

Aliases

arxiv: 2203.00802 · arxiv_version: 2203.00802v2 · doi: 10.48550/arxiv.2203.00802 · pith_short_12: RNNO2MTUG5OY · pith_short_16: RNNO2MTUG5OY5OEA · pith_short_8: RNNO2MTU

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/RNNO2MTUG5OY5OEA6NL6HSVXBC \
  | 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: 8b5aed3274375d8eb880f357e3cab70890167b237dfa2b399c4bc93f847f614e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b950f071a532b02f59bc6032b5e0b6b133536cf7f9fbbf46bcea9325d6a01a7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-03-02T00:34:21Z",
    "title_canon_sha256": "c36f2bcf20db21e33e2f7adabe1cc0f6802a91893a85105d8e3a509f64300773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.00802",
    "kind": "arxiv",
    "version": 2
  }
}