Pith Number

pith:WURFL3IP

pith:2019:WURFL3IPDKYKTTVRT5RU7EWC27

not attested not anchored not stored refs pending

An Optimal Transport approach for the Schr\"odinger bridge problem and convergence of Sinkhorn algorithm

Augusto Gerolin, Simone Di Marino

arxiv:1911.06850 v1 · 2019-11-15 · math.PR · 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{WURFL3IPDKYKTTVRT5RU7EWC27}

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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

The Diffusion-Attention Connection

Receipt and verification

First computed	2026-07-05T00:19:39.950716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52255ed0f1ab0a9ceb19f634f92c2d7dd041e492bbeb8e89961fa4a633ad548

Aliases

arxiv: 1911.06850 · arxiv_version: 1911.06850v1 · doi: 10.48550/arxiv.1911.06850 · pith_short_12: WURFL3IPDKYK · pith_short_16: WURFL3IPDKYKTTVR · pith_short_8: WURFL3IP

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/WURFL3IPDKYKTTVRT5RU7EWC27 \
  | 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: b52255ed0f1ab0a9ceb19f634f92c2d7dd041e492bbeb8e89961fa4a633ad548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "355ad8d563b28541af9379e9ad725d85b80f26d8795833623dfa1061e30d03bc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-11-15T19:46:43Z",
    "title_canon_sha256": "f35ad82f9a29c87619bd7c4cbbc4ca67e0614b86380c5f4c9a6537f1ecf4ca25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.06850",
    "kind": "arxiv",
    "version": 1
  }
}