Pith Number

pith:7K7NDTVU

pith:2025:7K7NDTVU7W4LLROAVTEGMJ7J3S

not attested not anchored not stored refs pending

On the quadratic barycentric transport problem

Nathael Gozlan (MAP5 - UMR 8145), Paul-Marie Samson (LAMA), Thibaut Le Gouic (I2M)

arxiv:2509.04935 v1 · 2025-09-05 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7K7NDTVU7W4LLROAVTEGMJ7J3S}

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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	2026-07-05T12:05:32.501425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fabed1ceb4fdb8b5c5c0acc86627e9dcae37b07f03fe86f5fb7646a5b6311e9c

Aliases

arxiv: 2509.04935 · arxiv_version: 2509.04935v1 · doi: 10.48550/arxiv.2509.04935 · pith_short_12: 7K7NDTVU7W4L · pith_short_16: 7K7NDTVU7W4LLROA · pith_short_8: 7K7NDTVU

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/7K7NDTVU7W4LLROAVTEGMJ7J3S \
  | 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: fabed1ceb4fdb8b5c5c0acc86627e9dcae37b07f03fe86f5fb7646a5b6311e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4382a6dc659de84e135ea494d535e1faaf840fd03039d70f7059a17d316cc6f8",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-09-05T08:58:34Z",
    "title_canon_sha256": "275a4a827f064e3f27c237ebde469c4b1dc9be548800af182fa9a43ab3abcd04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04935",
    "kind": "arxiv",
    "version": 1
  }
}