Pith Number

pith:M7JMGSKK

pith:2017:M7JMGSKK4W3H64QDFRANBKYFEV

not attested not anchored not stored refs pending

A Benamou-Brenier formulation of martingale optimal transport

Dario Trevisan, Martin Huesmann

arxiv:1707.01493 v2 · 2017-07-05 · math.PR · math.AP · 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{M7JMGSKK4W3H64QDFRANBKYFEV}

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	2026-05-18T00:07:12.098006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67d2c3494ae5b67f72032c40d0ab05254023939c03b79ee939d17df6d4367598

Aliases

arxiv: 1707.01493 · arxiv_version: 1707.01493v2 · doi: 10.48550/arxiv.1707.01493 · pith_short_12: M7JMGSKK4W3H · pith_short_16: M7JMGSKK4W3H64QD · pith_short_8: M7JMGSKK

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/M7JMGSKK4W3H64QDFRANBKYFEV \
  | 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: 67d2c3494ae5b67f72032c40d0ab05254023939c03b79ee939d17df6d4367598

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fac91c35397e6425b8a655f6450522485d2323da10079b7e3af90008c5053248",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-05T17:52:08Z",
    "title_canon_sha256": "e921aa75e161664a8c72747e9ec48855f4db5d93d8d51ff9899a3675d0baec6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01493",
    "kind": "arxiv",
    "version": 2
  }
}