Pith Number

pith:SPVLDZAO

pith:2026:SPVLDZAOZM3IFR473M2LDHQTY4

not attested not anchored not stored refs pending

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit

Bang-Xian Han

arxiv:2605.25453 v1 · 2026-05-25 · math.MG · math.FA · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPVLDZAOZM3IFR473M2LDHQTY4}

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	2026-05-26T02:04:36.490458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93eab1e40ecb3682c79fdb34b19e13c70f0a26d37e7ad5686f332605305bad28

Aliases

arxiv: 2605.25453 · arxiv_version: 2605.25453v1 · doi: 10.48550/arxiv.2605.25453 · pith_short_12: SPVLDZAOZM3I · pith_short_16: SPVLDZAOZM3IFR47 · pith_short_8: SPVLDZAO

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/SPVLDZAOZM3IFR473M2LDHQTY4 \
  | 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: 93eab1e40ecb3682c79fdb34b19e13c70f0a26d37e7ad5686f332605305bad28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7dfa1e225a3ab7be39a9f24c9984c6b1a661ae24d79fd13d43fc04ca0ac0119",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2026-05-25T06:05:05Z",
    "title_canon_sha256": "570b9c8563f1df35e8b5f265c4e24920e9467acdbaef3f507fa6965b50e56270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25453",
    "kind": "arxiv",
    "version": 1
  }
}