Pith Number

pith:KATKUQQC

pith:2026:KATKUQQCHXRNZVPRLWLFH2PODM

not attested not anchored not stored refs pending

On the stability of proximal operators in Wasserstein spaces under different notions of convexity

Emanuele Naldi, Sara Farinelli, Simone Di Marino

arxiv:2607.08209 v1 · 2026-07-09 · math.OC · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KATKUQQCHXRNZVPRLWLFH2PODM}

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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	2026-07-10T01:19:29.778368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5026aa42023de2dcd5f15d9653e9ee1b3b8ebef548f0c4bb7b1cd279339b2140

Aliases

arxiv: 2607.08209 · arxiv_version: 2607.08209v1 · doi: 10.48550/arxiv.2607.08209 · pith_short_12: KATKUQQCHXRN · pith_short_16: KATKUQQCHXRNZVPR · pith_short_8: KATKUQQC

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/KATKUQQCHXRNZVPRLWLFH2PODM \
  | 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: 5026aa42023de2dcd5f15d9653e9ee1b3b8ebef548f0c4bb7b1cd279339b2140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3297e0b378f5f6dc603929f57fef15a245395d4be70714d159ce11932c6c7431",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-09T08:07:35Z",
    "title_canon_sha256": "d31e0a05c803685d4cb27214830e5c3d411351a805e09010229e94c75cdb945c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08209",
    "kind": "arxiv",
    "version": 1
  }
}