Pith Number

pith:GSN7CGJ7

pith:2023:GSN7CGJ7FPXWIICBZFP4ODELFE

not attested not anchored not stored refs pending

Stability and statistical inference for semidiscrete optimal transport maps

Kengo Kato, Ritwik Sadhu, Ziv Goldfeld

arxiv:2303.10155 v3 · 2023-03-17 · math.ST · math.PR · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSN7CGJ7FPXWIICBZFP4ODELFE}

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	2026-07-05T08:20:49.681903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

349bf1193f2bef642041c95fc70c8b291717dad42f591fd8536b8e3b9bf9cc38

Aliases

arxiv: 2303.10155 · arxiv_version: 2303.10155v3 · doi: 10.48550/arxiv.2303.10155 · pith_short_12: GSN7CGJ7FPXW · pith_short_16: GSN7CGJ7FPXWIICB · pith_short_8: GSN7CGJ7

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/GSN7CGJ7FPXWIICBZFP4ODELFE \
  | 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: 349bf1193f2bef642041c95fc70c8b291717dad42f591fd8536b8e3b9bf9cc38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeea419cd722e759bd6b3e51eb25836aa72b08210476b0b42f52df1e4e17f859",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-03-17T17:43:48Z",
    "title_canon_sha256": "969d0c2d64b9d92f6d32da3dbb2be441acaca15f5b28c3ab80187335a0c8714a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.10155",
    "kind": "arxiv",
    "version": 3
  }
}