Pith Number

pith:F5L3MPAO

pith:2026:F5L3MPAOXBBFRFZPIIDTG7WW6T

not attested not anchored not stored refs pending

Harnessing Heterogeneous Data for Conditional Optimization via Optimal Transport

Jonathan Yu-Meng Li, Qinyu Wu

arxiv:2607.19761 v1 · 2026-07-22 · 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{F5L3MPAOXBBFRFZPIIDTG7WW6T}

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	2026-07-23T00:24:08.314104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f57b63c0eb84258972f4207337ed6f4e1e452b36ae00abf23c414ca408948fd

Aliases

arxiv: 2607.19761 · arxiv_version: 2607.19761v1 · doi: 10.48550/arxiv.2607.19761 · pith_short_12: F5L3MPAOXBBF · pith_short_16: F5L3MPAOXBBFRFZP · pith_short_8: F5L3MPAO

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/F5L3MPAOXBBFRFZPIIDTG7WW6T \
  | 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: 2f57b63c0eb84258972f4207337ed6f4e1e452b36ae00abf23c414ca408948fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "365d7d1192172ae80b0074af5ac90a0b47768a4df73a33da734fa6c7d3439b66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-22T05:11:26Z",
    "title_canon_sha256": "c28229d17b5f583918c85752d1a73790596d6dd483d00b1f8225651b63f6bff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19761",
    "kind": "arxiv",
    "version": 1
  }
}