Pith Number

pith:JCA4HIQV

pith:2019:JCA4HIQVCKXAUCKBTWVXKU5OOG

not attested not anchored not stored refs pending

Approximation of Optimal Transport problems with marginal moments constraints

Aur\'elien Alfonsi, Damiano Lombardi, Rafa\"el Coyaud, Virginie Ehrlacher

arxiv:1905.05663 v1 · 2019-05-14 · math.PR · math.NA · math.ST · q-fin.CP · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JCA4HIQVCKXAUCKBTWVXKU5OOG}

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	2026-05-17T23:46:13.910121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4881c3a21512ae0a09419dab7553ae71b5cf3d1ba6a0c9fe4589b889ce6ff91f

Aliases

arxiv: 1905.05663 · arxiv_version: 1905.05663v1 · doi: 10.48550/arxiv.1905.05663 · pith_short_12: JCA4HIQVCKXA · pith_short_16: JCA4HIQVCKXAUCKB · pith_short_8: JCA4HIQV

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/JCA4HIQVCKXAUCKBTWVXKU5OOG \
  | 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: 4881c3a21512ae0a09419dab7553ae71b5cf3d1ba6a0c9fe4589b889ce6ff91f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a1bac64e1e99249bd2b7aca889398adeef49249c31959fe5dc348b2baa2937",
    "cross_cats_sorted": [
      "math.NA",
      "math.ST",
      "q-fin.CP",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-05-14T15:17:36Z",
    "title_canon_sha256": "5e850de0e3f2a117bc80141e749f1f31c0813e3d721e567f891b76709e3e680c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.05663",
    "kind": "arxiv",
    "version": 1
  }
}