Pith Number

pith:TJFJRDS7

pith:2022:TJFJRDS7EQLNPZMYV5RUXZYR6E

not attested not anchored not stored refs pending

Fast Sinkhorn II: Collinear Triangular Matrix and Linear Time Accurate Computation of Optimal Transport

Bo Bai, Hao Wu, Jing Chen, Qichen Liao, Shi Jin, Zihao Wang

arxiv:2206.09049 v1 · 2022-06-17 · 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{TJFJRDS7EQLNPZMYV5RUXZYR6E}

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	2026-07-05T04:33:03.242586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4a988e5f2416d7e598af634be711f12a0376a84cdeebb445558c4863f0753f

Aliases

arxiv: 2206.09049 · arxiv_version: 2206.09049v1 · doi: 10.48550/arxiv.2206.09049 · pith_short_12: TJFJRDS7EQLN · pith_short_16: TJFJRDS7EQLNPZMY · pith_short_8: TJFJRDS7

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/TJFJRDS7EQLNPZMYV5RUXZYR6E \
  | 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: 9a4a988e5f2416d7e598af634be711f12a0376a84cdeebb445558c4863f0753f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a31db7365e098b7353deed2822cb6fc512a2447ff8a1273b86f131c189ddaa50",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-06-17T23:26:25Z",
    "title_canon_sha256": "56911b3495916fc464b68351a4fc6ed575222803dc76fbdd39c0fca44738e606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.09049",
    "kind": "arxiv",
    "version": 1
  }
}