Pith Number

pith:CKH4GGMF

pith:2025:CKH4GGMFBBSMUPJIBF3GMZYMDL

not attested not anchored not stored refs pending

Global universal approximation with Brownian signatures

David J. Pr\"omel, Mihriban Ceylan

arxiv:2512.16396 v2 · 2025-12-18 · math.PR · cs.LG · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKH4GGMFBBSMUPJIBF3GMZYMDL}

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.

Cited by

2 papers in Pith

Weighted universal approximation of differentiable maps on infinite-dimensional manifolds

Receipt and verification

First computed	2026-07-07T03:18:51.664151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

128fc319850864ca3d28097666670c1accf5f8f2086a948043def668933e59b9

Aliases

arxiv: 2512.16396 · arxiv_version: 2512.16396v2 · doi: 10.48550/arxiv.2512.16396 · pith_short_12: CKH4GGMFBBSM · pith_short_16: CKH4GGMFBBSMUPJI · pith_short_8: CKH4GGMF

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/CKH4GGMFBBSMUPJIBF3GMZYMDL \
  | 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: 128fc319850864ca3d28097666670c1accf5f8f2086a948043def668933e59b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94fbeecf1fd5e94d976ca7149439e26b4c54503d2f221d5afa76769c35287707",
    "cross_cats_sorted": [
      "cs.LG",
      "q-fin.MF"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-12-18T10:49:20Z",
    "title_canon_sha256": "438fb27be8f0e83c03cc05da6a32424291a28105e81b54a91bb21507a130c4e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.16396",
    "kind": "arxiv",
    "version": 2
  }
}