Pith Number

pith:4S6JR47A

pith:2018:4S6JR47AYAQJFXPGCS6GOEU55V

not attested not anchored not stored refs pending

A large-scale regularity theory for the Monge-Ampere equation with rough data and application to the optimal matching problem

Felix Otto, Martin Huesmann, Michael Goldman

arxiv:1808.09250 v1 · 2018-08-28 · math.AP · math.PR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4S6JR47AYAQJFXPGCS6GOEU55V}

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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

2 papers in Pith

A variational approach to regularity theory in optimal transportation

Annealed quantitative estimates for the quadratic 2D-discrete random matching problem

Receipt and verification

First computed	2026-05-18T00:07:01.923163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4bc98f3e0c02092dde614bc67129ded655e8c4490bbd35733872283b74b9f75

Aliases

arxiv: 1808.09250 · arxiv_version: 1808.09250v1 · doi: 10.48550/arxiv.1808.09250 · pith_short_12: 4S6JR47AYAQJ · pith_short_16: 4S6JR47AYAQJFXPG · pith_short_8: 4S6JR47A

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/4S6JR47AYAQJFXPGCS6GOEU55V \
  | 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: e4bc98f3e0c02092dde614bc67129ded655e8c4490bbd35733872283b74b9f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7268fea9df3ce6f2889ae159ff3ada07e8eec1f85fa06147868f0cad8aa70b84",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-08-28T12:30:41Z",
    "title_canon_sha256": "788dfd0f539b09fff4bd1e758ad464b5646c5e1f3879682ae863c79ad9f17564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09250",
    "kind": "arxiv",
    "version": 1
  }
}