Pith Number

pith:LVH46L3U

pith:2018:LVH46L3UOPSFDFYMSGQDBLMMB5

not attested not anchored not stored refs pending

Differentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure

Fr\'ed\'eric de Gournay, Jonas Kahn, L\'eo Lebrat

arxiv:1803.00827 v1 · 2018-03-02 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVH46L3UOPSFDFYMSGQDBLMMB5}

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	2026-05-18T00:22:07.765166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d4fcf2f7473e451970c91a030ad8c0f6347deedcd39c9050974a28b3e33eecf

Aliases

arxiv: 1803.00827 · arxiv_version: 1803.00827v1 · doi: 10.48550/arxiv.1803.00827 · pith_short_12: LVH46L3UOPSF · pith_short_16: LVH46L3UOPSFDFYM · pith_short_8: LVH46L3U

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/LVH46L3UOPSFDFYMSGQDBLMMB5 \
  | 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: 5d4fcf2f7473e451970c91a030ad8c0f6347deedcd39c9050974a28b3e33eecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b296ca3f42cc2e0ffbaccf17c38f38cfc6c3ec3fdfb66b89239fd8da9a618a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-03-02T12:48:10Z",
    "title_canon_sha256": "c5970e6d8bc2fbdde1edae586a736f9b8b87cf6fa66e5caac9de92167943e0f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00827",
    "kind": "arxiv",
    "version": 1
  }
}