Pith Number

pith:BPHKZV6N

pith:2026:BPHKZV6NKKDOUBH7GYQX2UTKEQ

not attested not anchored not stored refs pending

Convergence of empirical subgradients for optimal transport-based objectives

Tam Le (LPSM, UPCit\'e)

arxiv:2605.28134 v1 · 2026-05-27 · math.OC · 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{BPHKZV6NKKDOUBH7GYQX2UTKEQ}

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	2026-05-28T01:05:00.071255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bceacd7cd5286ea04ff36217d526a241f011dccc2a76b7577daba99dad4ec6d

Aliases

arxiv: 2605.28134 · arxiv_version: 2605.28134v1 · doi: 10.48550/arxiv.2605.28134 · pith_short_12: BPHKZV6NKKDO · pith_short_16: BPHKZV6NKKDOUBH7 · pith_short_8: BPHKZV6N

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/BPHKZV6NKKDOUBH7GYQX2UTKEQ \
  | 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: 0bceacd7cd5286ea04ff36217d526a241f011dccc2a76b7577daba99dad4ec6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e964ae3b781bf1569645dbcdbf0f2586f5cdb2b1d623d6cfbbeb49d9f42f5d5",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-27T08:20:24Z",
    "title_canon_sha256": "83d491c4aeab19f513f7f073f88a35a671bfc33586249546f72ca32cc8ea59ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28134",
    "kind": "arxiv",
    "version": 1
  }
}