Pith Number

pith:3L46OUDL

pith:2015:3L46OUDLLZD4OHB6VG3RFB4OIW

not attested not anchored not stored refs pending

A Numerical Method to solve Optimal Transport Problems with Coulomb Cost

Guillaume Carlier, Jean-David Benamou, Luca Nenna

arxiv:1505.01136 v2 · 2015-05-05 · math.NA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3L46OUDLLZD4OHB6VG3RFB4OIW}

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	2026-05-18T02:16:38.792447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf9e7506b5e47c71c3ea9b712878e458ccd3192bb906f093e884ed4ce55d56d

Aliases

arxiv: 1505.01136 · arxiv_version: 1505.01136v2 · doi: 10.48550/arxiv.1505.01136 · pith_short_12: 3L46OUDLLZD4 · pith_short_16: 3L46OUDLLZD4OHB6 · pith_short_8: 3L46OUDL

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/3L46OUDLLZD4OHB6VG3RFB4OIW \
  | 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: daf9e7506b5e47c71c3ea9b712878e458ccd3192bb906f093e884ed4ce55d56d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ca264225423781e7adff771d42daf2068ecaa1ba2e2dea64fc6cd9e871b517c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-05-05T19:30:20Z",
    "title_canon_sha256": "3c863472c1e585a3c9e59eb225b5d11a481e802c657121cd5b2b9cb104d93c5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01136",
    "kind": "arxiv",
    "version": 2
  }
}