Pith Number

pith:NNMBOB7B

pith:2026:NNMBOB7B33TLZGFJ7KXYKQWKXL

not attested not anchored not stored refs pending

Sharp $O(1/k)$ convergence rate for the Sinkhorn algorithm via a local analysis

Guillaume Wang

arxiv:2606.28973 v1 · 2026-06-27 · 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{NNMBOB7B33TLZGFJ7KXYKQWKXL}

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	2026-06-30T01:17:47.783556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b581707e1dee6bc98a9faaf8542cabafe26c943936d01c2ce59f11d77709917

Aliases

arxiv: 2606.28973 · arxiv_version: 2606.28973v1 · doi: 10.48550/arxiv.2606.28973 · pith_short_12: NNMBOB7B33TL · pith_short_16: NNMBOB7B33TLZGFJ · pith_short_8: NNMBOB7B

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/NNMBOB7B33TLZGFJ7KXYKQWKXL \
  | 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: 6b581707e1dee6bc98a9faaf8542cabafe26c943936d01c2ce59f11d77709917

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c42ad13bc421ddf7687d522fd6154cda5a70e99b3115831b2c0ae3e6be198ad5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-27T15:25:34Z",
    "title_canon_sha256": "5dd4dfdf123250b05706b34613a0207ae87dd792c94deba8c365dcd5b3971012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28973",
    "kind": "arxiv",
    "version": 1
  }
}