Pith Number

pith:5BOU4AZQ

pith:2020:5BOU4AZQAL6HQWV4SUPHKWS5SR

not attested not anchored not stored refs pending

On Unbalanced Optimal Transport: An Analysis of Sinkhorn Algorithm

Hung Bui, Khang Le, Khiem Pham, Nhat Ho, Tung Pham

arxiv:2002.03293 v2 · 2020-02-09 · cs.CC · cs.DS · 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{5BOU4AZQAL6HQWV4SUPHKWS5SR}

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.

Cited by

1 paper in Pith

Contrastive Learning for Task-Independent SpeechLLM-Pretraining

Receipt and verification

First computed	2026-07-05T01:52:45.792311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e85d4e033002fc785abc951e755a5d9466028fe12dd3d5dce2761c6783f56e08

Aliases

arxiv: 2002.03293 · arxiv_version: 2002.03293v2 · doi: 10.48550/arxiv.2002.03293 · pith_short_12: 5BOU4AZQAL6H · pith_short_16: 5BOU4AZQAL6HQWV4 · pith_short_8: 5BOU4AZQ

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/5BOU4AZQAL6HQWV4SUPHKWS5SR \
  | 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: e85d4e033002fc785abc951e755a5d9466028fe12dd3d5dce2761c6783f56e08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e17df5ea3d55e85d94c0757797f774ddbd6223093ed585d07e00b69e1f78996",
    "cross_cats_sorted": [
      "cs.DS",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2020-02-09T06:03:36Z",
    "title_canon_sha256": "51095f8018b73145b84e73a3c86d137dcb75c22368be2ea61ce0728a924a984b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.03293",
    "kind": "arxiv",
    "version": 2
  }
}