Pith Number

pith:MUPNLFF5

pith:2016:MUPNLFF5ZONYIWY3NIVFD7TVYM

not attested not anchored not stored refs pending

Causal optimal transport and its links to enlargement of filtrations and continuous-time stochastic optimization

Anastasiia Zalashko, Beatrice Acciaio, Julio Backhoff Veraguas

arxiv:1611.02610 v2 · 2016-11-08 · 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{MUPNLFF5ZONYIWY3NIVFD7TVYM}

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	2026-05-18T00:28:16.416999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651ed594bdcb9b845b1b6a2a51fe75c317460055f5a1b044d097edf87dff3e37

Aliases

arxiv: 1611.02610 · arxiv_version: 1611.02610v2 · doi: 10.48550/arxiv.1611.02610 · pith_short_12: MUPNLFF5ZONY · pith_short_16: MUPNLFF5ZONYIWY3 · pith_short_8: MUPNLFF5

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/MUPNLFF5ZONYIWY3NIVFD7TVYM \
  | 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: 651ed594bdcb9b845b1b6a2a51fe75c317460055f5a1b044d097edf87dff3e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9fa0eb45433585cf00547349da489e251346f391145d98f5422bbf5650791df",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-08T17:05:38Z",
    "title_canon_sha256": "5e3224ac7528295e71f0a2b403ddc3635db36aeb6111705a81a98147d0ba7897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02610",
    "kind": "arxiv",
    "version": 2
  }
}