Pith Number

pith:NKNQBFX3

pith:2026:NKNQBFX3X4FQRV5JAHLWL7ROLM

not attested not anchored not stored refs pending

Distribution Steering via Sliced Optimal Transport Control

Anqi Dong, Kaito Ito

arxiv:2608.12828 v1 · 2026-08-13 · math.OC · cs.LG · cs.SY · eess.SY · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKNQBFX3X4FQRV5JAHLWL7ROLM}

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	2026-08-14T00:48:51.443052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a9b0096fbbf0b08d7a901d765fe2e5b2ac0b38e1d48bda654fb772d1d48ee6e

Aliases

arxiv: 2608.12828 · arxiv_version: 2608.12828v1 · doi: 10.48550/arxiv.2608.12828 · pith_short_12: NKNQBFX3X4FQ · pith_short_16: NKNQBFX3X4FQRV5J · pith_short_8: NKNQBFX3

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/NKNQBFX3X4FQRV5JAHLWL7ROLM \
  | 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: 6a9b0096fbbf0b08d7a901d765fe2e5b2ac0b38e1d48bda654fb772d1d48ee6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140df9fe24fa7b818475370a00e7598808479d15356f22563d244297fa9193c6",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.SY",
      "eess.SY",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-13T05:00:59Z",
    "title_canon_sha256": "8ccb53e3ba629235d63877a6ea8a7ed3e8718fca92114dcb2deb02942bc3eb38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.12828",
    "kind": "arxiv",
    "version": 1
  }
}