Pith Number

pith:WBZLRLWM

pith:2013:WBZLRLWMOMYPVTCHBBPBOQXBFI

not attested not anchored not stored refs pending

Regularized Discrete Optimal Transport

Gabriel Peyr\'e, Jean-Fran\c{c}ois Aujol, Nicolas Papadakis, Sira Ferradans

arxiv:1307.5551 v1 · 2013-07-21 · cs.CV · cs.DM · 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{WBZLRLWMOMYPVTCHBBPBOQXBFI}

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	2026-05-18T03:17:55.353982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b072b8aecc7330facc47085e1742e12a15ecd1bb2cc8d0d372aabfe93423404b

Aliases

arxiv: 1307.5551 · arxiv_version: 1307.5551v1 · doi: 10.48550/arxiv.1307.5551 · pith_short_12: WBZLRLWMOMYP · pith_short_16: WBZLRLWMOMYPVTCH · pith_short_8: WBZLRLWM

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/WBZLRLWMOMYPVTCHBBPBOQXBFI \
  | 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: b072b8aecc7330facc47085e1742e12a15ecd1bb2cc8d0d372aabfe93423404b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90cdd4c37d38015ed4116a091d0e6ba5618e36fc70cba845234f3f8dd4749ac8",
    "cross_cats_sorted": [
      "cs.DM",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2013-07-21T17:55:10Z",
    "title_canon_sha256": "ae100f9489aa5dd67e276222f24a69253f26af1244685099d7c22a217c659054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5551",
    "kind": "arxiv",
    "version": 1
  }
}