Pith Number

pith:ROGPH22V

pith:2017:ROGPH22VDUAPCYO5G3EAXEMV2J

not attested not anchored not stored refs pending

Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm

Guillaume Carlier, Jean-David Benamou, Luca Nenna

arxiv:1710.08234 v2 · 2017-10-23 · math.NA · math-ph · math.MP · 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{ROGPH22VDUAPCYO5G3EAXEMV2J}

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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.

Cited by

1 paper in Pith

Multi-marginal Entropy-Transport with repulsive cost

Receipt and verification

First computed	2026-05-18T00:22:05.511370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b8cf3eb551d00f161dd36c80b9195d2760467c99b507aa136afa06b3d4d46ed

Aliases

arxiv: 1710.08234 · arxiv_version: 1710.08234v2 · doi: 10.48550/arxiv.1710.08234 · pith_short_12: ROGPH22VDUAP · pith_short_16: ROGPH22VDUAPCYO5 · pith_short_8: ROGPH22V

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/ROGPH22VDUAPCYO5G3EAXEMV2J \
  | 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: 8b8cf3eb551d00f161dd36c80b9195d2760467c99b507aa136afa06b3d4d46ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a6fed3bf21e4c36f47027c27921f8fd058297bd7c5152289c2228337268b0b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-10-23T12:32:32Z",
    "title_canon_sha256": "ee3cb86dd3e2c6ce019426a581f344f030a1cfedc50ceaa5f511b75d395d61d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08234",
    "kind": "arxiv",
    "version": 2
  }
}