Pith Number

pith:TZQXDLDF

pith:2026:TZQXDLDFYTJ72DDJBEVULHPRJU

not attested not anchored not stored refs pending

Analytical Approach to Continuous-Time Causal Optimal Transport

Antonios Zitridis, Erhan Bayraktar, Ibrahim Ekren, Julio Backhoff

arxiv:2605.19978 v1 · 2026-05-19 · math.OC · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZQXDLDFYTJ72DDJBEVULHPRJU}

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	2026-05-20T02:05:57.924452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e6171ac65c4d3fd0c69092b459df14d3c44c5629f9ab35171631e989bd3662a

Aliases

arxiv: 2605.19978 · arxiv_version: 2605.19978v1 · doi: 10.48550/arxiv.2605.19978 · pith_short_12: TZQXDLDFYTJ7 · pith_short_16: TZQXDLDFYTJ72DDJ · pith_short_8: TZQXDLDF

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/TZQXDLDFYTJ72DDJBEVULHPRJU \
  | 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: 9e6171ac65c4d3fd0c69092b459df14d3c44c5629f9ab35171631e989bd3662a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99413353489bcd5f0eab8d8cb08152d08160264d5365cb67bbf3b7bb10845c67",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-19T15:21:33Z",
    "title_canon_sha256": "b66a471f3e86cd9fb8f436e3d8f2bf34f0ff667862aee8f1527c7f4cb7aaf0e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19978",
    "kind": "arxiv",
    "version": 1
  }
}